Vector Calculus Questions and Answers
![Virginia is flying a Cessna and is descending at a 7 angle towards a runway If she can see a gorge behind her at a 50 angle that is 500 feet away from the runway how much further does she have to fly until she lands Round to the nearest tenth](https://media.kunduz.com/media/sug-question-candidate/20230421180232357905-5551104.jpg?w=256)
Calculus
Vector CalculusVirginia is flying a Cessna and is descending at a 7 angle towards a runway If she can see a gorge behind her at a 50 angle that is 500 feet away from the runway how much further does she have to fly until she lands Round to the nearest tenth
![41 Use the figure to find GBAN AC](https://media.kunduz.com/media/sug-question-candidate/20230421164000698916-3653173.jpg?w=256)
![Let p and q be the propositions p The votes have been counted q The election is decided Which of the following is the proposition p q expressed in words The election is decided but the votes have not been counted O The election is not decided if the votes have not been counted The election is decided or the votes have not been counted The votes have been counted but the election is not decided](https://media.kunduz.com/media/sug-question-candidate/20230421162223223016-5061986.jpg?w=256)
Calculus
Vector CalculusLet p and q be the propositions p The votes have been counted q The election is decided Which of the following is the proposition p q expressed in words The election is decided but the votes have not been counted O The election is not decided if the votes have not been counted The election is decided or the votes have not been counted The votes have been counted but the election is not decided
![Find the complementa The complementary a Simplify your answer](https://media.kunduz.com/media/sug-question-candidate/20230421133521463128-3653173.jpg?w=256)
![Question 9 of 17 Step 1 of 1 Arancher has 600 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectangular plots by placing two fences pala one of the field s shorter side Find the dimensions that maximize the enclosed area Write your answers as fractions reduced to lowest terms Answer Keyp Keyboard Show](https://media.kunduz.com/media/sug-question-candidate/20230421053235089824-5506401.jpg?w=256)
Calculus
Vector CalculusQuestion 9 of 17 Step 1 of 1 Arancher has 600 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectangular plots by placing two fences pala one of the field s shorter side Find the dimensions that maximize the enclosed area Write your answers as fractions reduced to lowest terms Answer Keyp Keyboard Show
![A rancher has 600 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectangular plots by placing two fences parallel to one of the field s shorter sides Find the dimensions that maximize the enclosed area Write your answers as fractions reduced to lowest terms Answer Keypad Keyboard Shortcuts](https://media.kunduz.com/media/sug-question-candidate/20230421052756030797-5506401.jpg?w=256)
Calculus
Vector CalculusA rancher has 600 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectangular plots by placing two fences parallel to one of the field s shorter sides Find the dimensions that maximize the enclosed area Write your answers as fractions reduced to lowest terms Answer Keypad Keyboard Shortcuts
![Find the linear function with the following properties Answer f 5 5 Slope off 6](https://media.kunduz.com/media/sug-question-candidate/20230421042612472248-5506401.jpg?w=256)
Calculus
Vector CalculusFind the linear function with the following properties Answer f 5 5 Slope off 6
![he linear function with the following properties ver f x f 0 4 Slope off 6](https://media.kunduz.com/media/sug-question-candidate/20230421035752759296-5506401.jpg?w=256)
![1 5 True or False Circle the Correct Answer a T or F log A log B b T or F c T or F d T or F T or F is the same as log A log B 5 The point 5 2 lies on a unit circle 3 cos 2x cos x sin x a b C Sin A Sin B Sin C elnx x for all real x](https://media.kunduz.com/media/sug-question-candidate/20230421025719042016-4832772.jpg?w=256)
Calculus
Vector Calculus1 5 True or False Circle the Correct Answer a T or F log A log B b T or F c T or F d T or F T or F is the same as log A log B 5 The point 5 2 lies on a unit circle 3 cos 2x cos x sin x a b C Sin A Sin B Sin C elnx x for all real x
![The temperature of the water Choose the correct answer b OA You could ice fish OR You could dress war](https://media.kunduz.com/media/sug-question-candidate/20230421025524956181-3653173.jpg?w=256)
Calculus
Vector CalculusThe temperature of the water Choose the correct answer b OA You could ice fish OR You could dress war
![Consider the following relation Step 1 of 3 Rewrite the relation as a function of x Answer 3x 4x 2x 2y](https://media.kunduz.com/media/sug-question-candidate/20230421021747806637-5506401.jpg?w=256)
Calculus
Vector CalculusConsider the following relation Step 1 of 3 Rewrite the relation as a function of x Answer 3x 4x 2x 2y
![Determine f x 1 for the following function Answer f x x 8 2 f x 1](https://media.kunduz.com/media/sug-question-candidate/20230421015527428435-5506401.jpg?w=256)
![Consider the following relation R 0 4 5 5 4 4 0 3 Step 2 of 2 Determine if the relation is a function If it is not identify two ordered pairs as proof y Enable Zoom Pan](https://media.kunduz.com/media/sug-question-candidate/20230421015300094559-5506401.jpg?w=256)
Calculus
Vector CalculusConsider the following relation R 0 4 5 5 4 4 0 3 Step 2 of 2 Determine if the relation is a function If it is not identify two ordered pairs as proof y Enable Zoom Pan
![Consider the following relation Step 1 of 2 Determine the domain and range for the relation R 0 4 5 5 4 4 0 3 Enable Zoom Pan](https://media.kunduz.com/media/sug-question-candidate/20230421014746248864-5506401.jpg?w=256)
Calculus
Vector CalculusConsider the following relation Step 1 of 2 Determine the domain and range for the relation R 0 4 5 5 4 4 0 3 Enable Zoom Pan
![ISD 1 If the length of AD is 73 units and the length of DC is 48 units find the length of AC S 14 2 Find the length of AD if the length of AB is 14 units the length of BC is 5 units and the length of CD is 8 units 8 15 ft 48 C 2 3 A room in a bank is shaped like the rectangular prism shown below The room has a security system that is triggered by two laser beams which stretch from Point A to D and Point B to C How many total feet of laser beams are there 12 ft 26 ft B](https://media.kunduz.com/media/sug-question-candidate/20230421010317722930-5464278.jpg?w=256)
Calculus
Vector CalculusISD 1 If the length of AD is 73 units and the length of DC is 48 units find the length of AC S 14 2 Find the length of AD if the length of AB is 14 units the length of BC is 5 units and the length of CD is 8 units 8 15 ft 48 C 2 3 A room in a bank is shaped like the rectangular prism shown below The room has a security system that is triggered by two laser beams which stretch from Point A to D and Point B to C How many total feet of laser beams are there 12 ft 26 ft B
![Trus Frost Wa are and sister horse 110m atch Les](https://media.kunduz.com/media/sug-question-candidate/20230420213947112474-5550218.jpg?w=256)
![780 TRUE 2 Standard deviation is a popular and accurate measure of the spread or distribution of a group of data 84](https://media.kunduz.com/media/sug-question-candidate/20230420190802920487-4644479.jpg?w=256)
Calculus
Vector Calculus780 TRUE 2 Standard deviation is a popular and accurate measure of the spread or distribution of a group of data 84
![2 List the transformation that have been applied to y function is y 7 3x 9 4 if the base](https://media.kunduz.com/media/sug-question-candidate/20230420154720251517-5548927.jpg?w=256)
Calculus
Vector Calculus2 List the transformation that have been applied to y function is y 7 3x 9 4 if the base
![4 Find the reduced row echelon form of the matrix 2 3 5 1 1 1 1 2 1 2 2 3](https://media.kunduz.com/media/sug-question-candidate/20230420144222894538-5327513.jpg?w=256)
![Which of the options below corresponds best to the volume of the region R defined b curves x y 1 220 x y 2 2 A 11 7447 B 1 8692 C 5 8724 D 21 4895 E 23 4895](https://media.kunduz.com/media/sug-question-candidate/20230420065406735946-5548898.jpg?w=256)
Calculus
Vector CalculusWhich of the options below corresponds best to the volume of the region R defined b curves x y 1 220 x y 2 2 A 11 7447 B 1 8692 C 5 8724 D 21 4895 E 23 4895
![P nt Use the compound interest formulas A P and A Pet to solve Find the accumulated value of an investment of 900 at 10 compounded quarterly for 5 years O 1449 46 O 1474 75 O 1350 00](https://media.kunduz.com/media/sug-question-candidate/20230420044137068847-4090272.jpg?w=256)
Calculus
Vector CalculusP nt Use the compound interest formulas A P and A Pet to solve Find the accumulated value of an investment of 900 at 10 compounded quarterly for 5 years O 1449 46 O 1474 75 O 1350 00
![1 3 Perform the elementary row operation 2R R to the matrix 2 1 30 1 Select one O a Ob O O d 2 2 6 10 1 30 1 3 5 07 14 3 0 1 1 3 0 1 3 0 0 7 1 3 14 5 5 4](https://media.kunduz.com/media/sug-question-candidate/20230420041616631924-5327513.jpg?w=256)
Calculus
Vector Calculus1 3 Perform the elementary row operation 2R R to the matrix 2 1 30 1 Select one O a Ob O O d 2 2 6 10 1 30 1 3 5 07 14 3 0 1 1 3 0 1 3 0 0 7 1 3 14 5 5 4
![How many solutions does the following systems have x 2y3z 1 2x y 4z w 1 Select one O a 4 O b infinitely many O c 0 O d 2](https://media.kunduz.com/media/sug-question-candidate/20230420041818013568-5327513.jpg?w=256)
Calculus
Vector CalculusHow many solutions does the following systems have x 2y3z 1 2x y 4z w 1 Select one O a 4 O b infinitely many O c 0 O d 2
![Find equations for the horizontal asymptotes if any for the following rational function Answer How to enter your answer opens in new window f x x 2 x 4](https://media.kunduz.com/media/sug-question-candidate/20230420034841111650-4348400.jpg?w=256)
Calculus
Vector CalculusFind equations for the horizontal asymptotes if any for the following rational function Answer How to enter your answer opens in new window f x x 2 x 4
![Tell what elementary row operation can be applied to 36 2 5 15 27 13 47 475 2 32 3 20 3 Select one O a O b OC O d 5 2 to obtain 03 3R R 3R R SR 3R R](https://media.kunduz.com/media/sug-question-candidate/20230420034114627872-5327513.jpg?w=256)
Calculus
Vector CalculusTell what elementary row operation can be applied to 36 2 5 15 27 13 47 475 2 32 3 20 3 Select one O a O b OC O d 5 2 to obtain 03 3R R 3R R SR 3R R
![Find the infinite sum if it exists for this series 2 1 0 5](https://media.kunduz.com/media/sug-question-candidate/20230420014911867285-5324183.jpg?w=256)
![aylor Williams Outlc x Franklin Road Academy Stu X A deltamath com app student solve 19333638 calculusRotateWasher 2 Let the region R be the area enclosed by the function f x Find the volume of the solid generated when the region R y 2 You may use a calculator and round to the neare 1 5 1 0 5 6 4 DeltaMath 2 0 5 1 1 5 2 X 2 5 x](https://media.kunduz.com/media/sug-question-candidate/20230420003432701251-5148113.jpg?w=256)
Calculus
Vector Calculusaylor Williams Outlc x Franklin Road Academy Stu X A deltamath com app student solve 19333638 calculusRotateWasher 2 Let the region R be the area enclosed by the function f x Find the volume of the solid generated when the region R y 2 You may use a calculator and round to the neare 1 5 1 0 5 6 4 DeltaMath 2 0 5 1 1 5 2 X 2 5 x
![10 8 7 5 5 3 2 Give the equation for the ellipse graphed above](https://media.kunduz.com/media/sug-question-candidate/20230420010052948621-5324183.jpg?w=256)
![f x and g x are functions that are continuous on the interval 3 x 2 and satisfy g x dx 2 S 3 3 3 3 Use this information along with rules for definite integrals to evaluate the indicated integral f x dx 5 4x 3g x dx 3 O 130 O26 O 12 O 26 f x dx 0 1 g x dx 4](https://media.kunduz.com/media/sug-question-candidate/20230420005055970219-4090272.jpg?w=256)
Calculus
Vector Calculusf x and g x are functions that are continuous on the interval 3 x 2 and satisfy g x dx 2 S 3 3 3 3 Use this information along with rules for definite integrals to evaluate the indicated integral f x dx 5 4x 3g x dx 3 O 130 O26 O 12 O 26 f x dx 0 1 g x dx 4
![us Question ert to Celsius Use C F F 40 F 5](https://media.kunduz.com/media/sug-question-candidate/20230420004753383698-3653173.jpg?w=256)
![Wo is the initial velocity ho is the initial height Question 3 A soccer ball is kicked across a field at an angle of 60 with an initial speed of 69 ft s Determine how far the soccer ball traveled in the air 128ft 2 pts O 212ft](https://media.kunduz.com/media/sug-question-candidate/20230420001502346716-4984822.jpg?w=256)
Calculus
Vector CalculusWo is the initial velocity ho is the initial height Question 3 A soccer ball is kicked across a field at an angle of 60 with an initial speed of 69 ft s Determine how far the soccer ball traveled in the air 128ft 2 pts O 212ft
![3 State all 3 double angle formulas for cos 2x i cos 2x ii cos 2x iii cos 2x](https://media.kunduz.com/media/sug-question-candidate/20230419154100456956-4832772.jpg?w=256)
![ConCTUSIVO ION 6 rt the ordered pair in polar](https://media.kunduz.com/media/sug-question-candidate/20230419145717750705-4537299.jpg?w=256)
![QUESTION 14 Write the complex number in 7 7i COS of 3 4 5x isin 3x 4 5](https://media.kunduz.com/media/sug-question-candidate/20230419145937414327-4537299.jpg?w=256)
![Write the following expressions in the standard form a bi 7 2 1 6](https://media.kunduz.com/media/sug-question-candidate/20230419125038696613-4107770.jpg?w=256)
![Find the acute angle that a constant unit force vector makes with the positive x axis if the work done by the force in moving a particle from 0 0 to 4 0 equals 2](https://media.kunduz.com/media/sug-question-candidate/20230419125022368719-4107770.jpg?w=256)
Calculus
Vector CalculusFind the acute angle that a constant unit force vector makes with the positive x axis if the work done by the force in moving a particle from 0 0 to 4 0 equals 2
![Find each quantity if v 3i 5j and w 2i 3j 3 2v 3w](https://media.kunduz.com/media/sug-question-candidate/20230419124904093919-4107770.jpg?w=256)
![6 Find the foci for a c x 6 y 7 9 25 1 F 6 11 and F 6 3 F 6 11 and F 6 3 b d F 6 12 and F 6 2 F 11 7 and F 1 7](https://media.kunduz.com/media/sug-question-candidate/20230419120607541026-4710940.jpg?w=256)
Calculus
Vector Calculus6 Find the foci for a c x 6 y 7 9 25 1 F 6 11 and F 6 3 F 6 11 and F 6 3 b d F 6 12 and F 6 2 F 11 7 and F 1 7
![4 Find the center of the ellipse 16x 9y 64x 54y 1 0 a 2 3 b c 2 3 d 2 3 2 3](https://media.kunduz.com/media/sug-question-candidate/20230419120536573637-4710940.jpg?w=256)
![9 Find the asymptotes of the hyperbola a y x c y x b d 5x 4y 20 5 y x y x](https://media.kunduz.com/media/sug-question-candidate/20230419120654317945-4710940.jpg?w=256)
![3 Find the vertex for the parabola 4x 2y 8 0 a 0 2 b 2 0 c 2 2 d 2 1](https://media.kunduz.com/media/sug-question-candidate/20230419120521931062-4710940.jpg?w=256)
![Find a basis for the row space of A 3 1 2 A 0 1 1 12 2 Find a basis for the null space of A Verify that every vector in row A is orthogonal to every vector](https://media.kunduz.com/media/sug-question-candidate/20230418232159917414-4411178.jpg?w=256)
Calculus
Vector CalculusFind a basis for the row space of A 3 1 2 A 0 1 1 12 2 Find a basis for the null space of A Verify that every vector in row A is orthogonal to every vector
![17 Which of the following statement s is always true Ill only Ill and IV only I and II only I II and IV only None of the above statements are always true a I a a b C b c II a b a b III 9 3 z IV a b a b c a b a c](https://media.kunduz.com/media/sug-question-candidate/20230418192221247823-3500550.jpg?w=256)
Calculus
Vector Calculus17 Which of the following statement s is always true Ill only Ill and IV only I and II only I II and IV only None of the above statements are always true a I a a b C b c II a b a b III 9 3 z IV a b a b c a b a c
![22 The angle of elevation to the top of a building is found to be 50 from the ground at a distance of 850 feet from the base of the building Using this information which expression below could be used to calculate the height of the building height 850 tan 50 height 850 sin 50 height 850 cot 50 height 850 cos 50 None of the above](https://media.kunduz.com/media/sug-question-candidate/20230418192341766948-3500550.jpg?w=256)
Calculus
Vector Calculus22 The angle of elevation to the top of a building is found to be 50 from the ground at a distance of 850 feet from the base of the building Using this information which expression below could be used to calculate the height of the building height 850 tan 50 height 850 sin 50 height 850 cot 50 height 850 cos 50 None of the above
![10 Which of the following is equal to e ev e 1 e e 1 e4 e 1 e 2](https://media.kunduz.com/media/sug-question-candidate/20230418192010681417-3500550.jpg?w=256)
![Write a polar equation that represents the given graph 41103 2 36cos 28 r 36sin 28 r 2cos 368 r 2sin 368](https://media.kunduz.com/media/sug-question-candidate/20230418191617979912-4537299.jpg?w=256)
Calculus
Vector CalculusWrite a polar equation that represents the given graph 41103 2 36cos 28 r 36sin 28 r 2cos 368 r 2sin 368
![STION 1 h the given point in polar coordinates 3 4](https://media.kunduz.com/media/sug-question-candidate/20230418182908197757-4537299.jpg?w=256)
![Plot the complex number and find its absolute value 8 O No Solution Help 10 2 64 4 2 4 10 9 4 6 6 4 9 14 4 44 4 16 18 8 9 1 2 10 3 4 S 6 7 8 9 c 10 Clear All Delate Fill Graph Layers Segment 1 Point 1](https://media.kunduz.com/media/sug-question-candidate/20230418161723193389-3899453.jpg?w=256)
Calculus
Vector CalculusPlot the complex number and find its absolute value 8 O No Solution Help 10 2 64 4 2 4 10 9 4 6 6 4 9 14 4 44 4 16 18 8 9 1 2 10 3 4 S 6 7 8 9 c 10 Clear All Delate Fill Graph Layers Segment 1 Point 1
![Completion Status ION 2 the problem](https://media.kunduz.com/media/sug-question-candidate/20230418160553220163-4537299.jpg?w=256)
![A ball is thrown with an initial velocity of v feet per second at an angle of 9 with the horizontal see figure Find the vertical and horizontal components of the velocity Let v 75 and 8 42 Round your answers to two decimal places ft sec vertical component horizontal component ft sec ft sec](https://media.kunduz.com/media/sug-question-candidate/20230418161154853773-3899453.jpg?w=256)
Calculus
Vector CalculusA ball is thrown with an initial velocity of v feet per second at an angle of 9 with the horizontal see figure Find the vertical and horizontal components of the velocity Let v 75 and 8 42 Round your answers to two decimal places ft sec vertical component horizontal component ft sec ft sec