Vector Calculus Questions and Answers

Find the magnitude of the scalar multiple where u 5v 5v 15 5 2 0 and v 3 6

5 Write the system of equations as a matrix equation AX B with A as the coefficient matrix of the system 5x 7y 2 2 2r 3y z 3 x y z 3

4 Find the common ratio r in the geometric sequence 10 20 40 80 3 3 3 761

Refer to the following linear programming problem for questions 4 and 5 Objective function f 5x 10y Constraints Which of the following is not a corner point Select one O a 0 0 O b 0 4 O c 3 6 2 8 Od 3 4 O e 5 0 Clear my choice 2x y 10 x 3y 12 x 0 y 0 What is the maximum value of f in the feasible region of the problem Select one a 0 b 55

ami Dade College Ho Zoom Meetings Question 4 of 10 1 point Attempt 1 of Unlimited Vie A boat is anchored offshore From the bow of the the line makes with the water line is 25 B C a ft

1 Find the measures of the angles labele

n P to find the orthogonal projection 4 proj f f g f 1 g 1 f 0 g 0 f 3 g 3 of f x 4x 6x 4 onto the line L spanned by g x 4x 3x 4

DETAILS TANAPCALC10 4 4 016 EP llowing function x 2x 5 on 0 6 tive of the function al numbers of the function Enter your

Using matrix A B statement 1 5 2 7 10 1 2 5 5 1 Select one a O b A B 3 74 2 16 and which of the following is a true 2 12 6 99 7 2 2 5 5 1 BA exists and AB does not exist OC Matrix A has an inverse Od AB exists and BA does not exist

Given P z 1 the full equation incl

Find the volume of the cylinder The volume of the cylinder is in 6 in 7 in This figure is not to scale

Find the area of the geometric figure www 6 m L Trapezoid 10 m 5 m

A mountain that gets many visitors every ye a How many meters higher is the second b How many centimeters higher is the sec c How many hectometers higher is the se

Find the coordinates of the points E and F of the rectangular box shown below 5 F 5 n NELL Z A The coordinates of point E are

2 Find the annual percentage yield for an investment that earns 1 1 per year compounded montly Round year answer to decimal places

7 Use the laws of logarithms to evaluate log3 243

8 Use the laws of logarithms to expand logu AB

10 Find the solution of the exponential answers as a equation Enter your comma separated list 2x 8 84 X 4 6x

Find the indicated value of the function g x y g 7 7 42 2 X x 7y Evaluate g 7 7 Select the correct choice below and fill in ar answer boxes within your choice O A g 7 7 OB The function g 7 7 is undefined

Question 6 of 6 1 point Que 2 Find the zeros of the function and stat d x 5x 2x 1 4x 7 x v If there is more than one answer sepa Part 0 2

Homework C252 Question 5 of 6 1 poi Find the zeros of the functio z x 2x x 2 x

1 A wire of length 50 units is cut into two pieces somewhere along the wire One piece is shaped into a square and the other is shaped into a circle What is the maximum possible value of the combined area of the square and the circle and what are the lengths of the two pieces What is the minimum possible value and when does that situation happen

49 Algo Events related to the acquisition use and disposal of a tangible plant asset straight line depreciation LO 8 2 8 5 City Taxi Service purchased a new auto to use as a taxi on January 1 Year 1 for 25 600 In addition City pald sales tax and title fees 590 for the vehicle The taxi is expected to have a five year life and a salvage value of 5 540 Required a Using the straight line method compute the depreciation expense for Year 1 and Year 2 b c Assume that the taxi was sold on January 1 Year 3 for 20 620 Prepare the general Journal entries to record the Year 1 depreciation and sale of the taxi In Year 3 Complete this question by entering your answers in the tabs below Req A Req B and C Using the straight line method compute the depreciation expense for Year 1 and Year 2 Round your answers to the nearest whole dollar amount Depreciation expense Year 1 Year 2

Solve the equation Simplify the answer as much as possible 42x 8 8x 6 The solution set is

10 7 5 points 00 43 53 Mr Ortega earns a monthly salary of 8 000 Based on Mr Ortega s Form W 4 the ta deduct 380 per month for medical insurance and 30 per month for a charitable c unemployment tax rate of 6 on the first 7 000 of salary earned Which of the follo statement Multiple Choice Assets Balance Sheet Liabilities Stockholders Equity Revenue NA

P t initial value k the growth rate as a de A bacteria culture starting with 200 bacteria gr will be 900 bacteria Express the population after t hours as a function What will be the population after 6 hours

Video Example Sketch the curve r 1 sin 0 A 3 m 2 b 2 Solution Instead of plotting points we first sketch the graph of r 1 sin 0 in Cartesian coordinates in the top figure by shifting the sine curve up one unit This enables us to read at a glance the values of r that correspond to increasing values of 0 For instance we T see that as increases from 0 to r the distance from O increases from so we sketch the corresponding part 2 of the polar curve in figure a As increases from to the top figure shows that r decreases from 2 c 1 d 3 sketch the next part of the curve as in figure b As increases from to r decreases from 2 e 8 37 c Finally as increases from to 27 r increases from as shown in part d If we let increase beyond 27 or 2 decrease beyond 0 we would simply retrace our path Putting together the parts of the curve from figures a d we sketch the complete curve in part e It is called a cardioid because it s shaped like a heart a 8 T 8 EIN 210 0 14 0 0 0 5 18 2 A 0 0 377 De 8 2T 0 377 to to to to so we as shown in part

F Consider the simplex tableau given below X3 1 2 S3 4 3 0 4 0 2 X1 2 0 4 3 X2 0 100 81000 X2 X3 S1 52 53 24 4 11 11 11 11 Z 3 23 23 0 0 28 19 N 0 0 0 1 0 0 1 23 23 28 19 Determine the value Determine the value Determine the value Determine the value Determine the value Determine the value th foll

2 Sketch the ellipse and label the foci vertices and ends of the minor axis a x 3 4 y 5 16

Quiz Instructions MTH 161 Quiz chapter 3 sectic D Question 1

1 Homework C10S3 Question 2 of 2 1 point R For the given model of the form a Determine the value of p b Identify the focus of the pa c Write an equation for the d Express numbers in exact sim 2 y 36x

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rectangles and right endpoints Rn Repeat the approximation using left endpoints Ln Report answers accurate to 4 places Remember not to round too early in your calculations Question Help Video Submit Question Question 17 L6 Speedometer readings for a vehicle in motion at 4 second intervals are given in the table t sec 0 4 8 12 16 20 24 37 47 46 34 v ft s 0 6 21 R6 Jump to Answer Estimate the distance traveled by the vehicle during this 24 second period using L6 R6 and M3 0 1 pt100 99 Details feet feet

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the order of the matrix Answer in a x b form 6

Consider the functions and doo f 9 sup f x g x x 0 1 dint f 9 f x 9 x dx Which of the following is not a metric space

For the curve r t cos 3t i sin 5t a Sketch the curve b At the point corresponding to t 1 sketch r 1 7 1 and a 1

Use a triple integral to find the volume of the solid bounded below by the 2 cone z x y and bounded above by the sphere x y 2 242 The volume of the solid is Type an exact answer 5324x 3 cubic units ARTHE 0 0 242 2 242 z x y

3 If h r is a differentiable function with h 4 3 and h 4 2 evaluate f 2 given that f x h x In x 1 Answer f 2 8 ln 2 6 5 ln 2 1

cribed in a right circular Height 2 17

Find the average rate of change of f x 6x 5 on the interval 1 t Your answer will be an expres involving t

SHOW YOUR WORK Show all work neatly on paper At th this assessment Clearly number each problem Box all ar the course See this sample For each equation below determine if the function is Od 3 f x 2x x Select an answer Select an answer g x x 2 12 Next 2 h x x 2x Select an answer

he focal point is located 20 0 cm from a diverging lens An object is placed 12 0 cm from the lens Determine the image distance nswer Check

Determine the focal length of a diverging lens which produces a virtual image 10 5 cm from the lens when the object is 33 cm from the lens

Find the pivot in the simplex tableau The pivot is X1 X2 X3 1 3 5 7 1 1 6 2 0 3 212 1

metry an Fractal netry ginning with the Koch curve with a line segme C step 0 BA C step

etch the graph of the polynomial function f x x 4 1 Determine the largest open intervals of the domain for which the function is a increasing or b decreasing se the graphing tool to graph the equation Click to enlarge graph DO 10 AY le 10 ON

Find the volume of the given solid region in the first octant bounded by the plane 8x 6y 12z 24 and the coordinate planes using triple integrals 0 0 2

6x x and y Find the area bounded by the parabolas y 6x Round answer to three decimal places 21 333 21 333 22 21 667 x2 2x

5 Solve for x 1 Point cos x sin x 5 O x 2 72 172 1927 12 12 O no solution O x 57 6 0 x 2 77 6 O x 5 77