Vectors Questions and Answers

Find the area bounded by the parabolas x 2 y and x 2 y 2

se the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about e y axis y 15e x y 0 x 0 X 1

points and Q and the Cartesian directions x y and z The point Q is located on the xy plane Select the answer that provides the position of the point P measured from point Q as a Cartesian vector X 111 8j 12k 11x 8y 12z 81 5j 12k 8x 5y 12z 31 131 3x 13y Z 13 P 5 8 12 Q 3 y

e numbers of domestic and international hts for three airlines for the year 2012 are en in the table Find the probability that a mestic flight is operated by Airline B Airline A B C Total Domestic Internation 517 971 120 976 729 987 96 611 527 769 135 211 1 775 727 352 798 probability that a domestic flight is operated by Airline B is und to four decimal places as needed

1 Consider the points A 2 5 1 B 6 2 5 and the line L that passes through both points as in the diagram below L A B 5 pts a Use vectors to find the point C on L between A and B that is exactly 4 units away from B

Part 2 of 2 permutations to solve is a huge fan of country music If Tim has time to listen to only 5 of the 14 songs on an alb he listen to the 5 songs stitute values into the formula for P 14 14 5 e an integer or a decimal re can be 2002 ways to listen to the 5 songs Points 0 75 of 1

Given that lines a and b are parallel and that m24 128 find m27 A 42 B C 128 62 D 32 E 52 b 1 2 3 4 5 6 7 8

Match each character with the corresponding description Boxer Napoleon Snowball Moses Mr Jones Clover Squealer Old Major Benjamin Mollie Mr Pilkington a horse who continually repeats I will work harder a horse who continually repeats I will work harder banished by Napoleon owner of Foxwood a farm near Animal Farm a wise and persuasive pig he inspires the rebellion with words like All men are enemies All animals are comrades old donkey the hardest worker a corrupt opportunist pig who steals puppies from their mothers in order to educate them the propagandist he is the voice of Napoleon Boxer s companion a middle aged mare very maternal

In problem 7 which two sides am I given and which trig ratio should I use opposite and adjacent use sine opposite and adjacent use tangent adjacent and hypotenuse use cosine opposite and hypotenuse use sine

The drawing shows a uniform electric field that points in the negative y direction the magnitude of the field is 3300 N C Determine the electric potential difference a VB VA between points A and B b Vc VB between points B and C and c VA Vc between points C and A a Number b Number THE 1 10 0 cm 18 0 cm ZH 6 0 cm Units Units O

B C VOO O ask 4 For the previous shape A Describe the tringle A ABC by vector coordinates B Find the area of the tringle A ABC C Find the angle LABC use dot product A Construct a scaling process to scale the tringle A ABC by a factor of 3 in the x direction by a factor of 3 in the y direction with fixpoint B

Find the components of the vector w whose tail is C and head is the midpoint of AB in the figure below Then write a vector parametrization for the line containing w A 1 0 1 0 0 0 C 0 1 1

Simplify 9i 3 7 i Write your answer in the form a b Submit

Solve by square roots 3 x 1 27 x 1 X

4x X A 0 6 ane is flying at an altitude of 32 000 feet The distance between the plane and a radio tower on the ground is 50 000 feet What is the angle of vation between the radio tower and the plane round to 1 decimal place B 39 7 C 39 8 plane D 0 7 32 000 ft 50 000 ft Radio tower

O Show Transcribed Text 15 S 16 12 X C X 8

13 What are the solutions to the equation 4x 2x 6 0 IEW 23 112 B x X Previous IN

5 Solve the following equation by completing the square 2 102 51 6 Select ALL solutions A 6 18 B 4 055 C 2 53 D 22 53

For Items 7 9 refer to the diagram C A H m CED B H H If m BHG 100 what is m CED TI F G J

What is the value of x LL F X x 52 x 12 2x G H E

What is mDG F 70 90 mDG B E G 70 D

What is m2 TRU U mZTRU R 125 105 T S

What is mZHKI I mZHKI H 110 K 150 J

3 Solve for the value of x below x 3 8 5 x 9

2 Shetch Be graph of f x x D x 4 1 Demak d Zeros 1 Symerre Apropiote 8 Siph Chan ior f 3 ma Firt Desather t iscu tovena Secent Denation 9 A Sencont is

2x q 5 2x2 14 X 14 7 II Given AC BD Prove AB CD 1 AC BD 2 AC AB BC BD BC CD 3 AB BC BC CD 4 AB CD III Given m1 m22 m23 m24 Prove m2 ABC m2 DEF 1 mz1 m22 m23 m24 2 ABC 1 3 DEF 42 24 3 ABC a 4 A 4 m2 ABC m 2 DEF 3 K B

Find the parametric equation of the line through a parallel to b using t as the parameter 6 TH a b X t S

Are the polygons are always sometimes or never similar Two equilateral triangles O always O sometimes never

Find mZD E 5 F 7 m2D Write your answer as an integer or as a decimal rounded to the nearest te D O

What is the general equation of the plane P in R that contains the point 1 2 3 and is orthogonal to the line given by the vector equation x 2 4 1 Since the line is orthogonal to the plane any direction vector of is a normal vector of P and the general equation of P is x 1 y 5 z 9 4 4 1 5 is a normal vector of P Therefore x

Question 7 1 point 40Listen Let ABCDEF be a regular hexagon with AB uand BC V Express BD in terms of u and v O 2 Ot 0 O

ixl com math level k checkpoint average rate of change 50 45 Available pets 40 35 30 25 20 15 10 SI 5 3 6 9 12 15 18 21 24 27 The number of animals available for adoption animals per day last month 30 Time days Complete the sentence to describe the average rate of change shown in the graph increased X by about

Find RS 59 S R Q Write your answer as an integer or as a decimal rounded to the nearest ter RS 7

Is this statement always sometimes or never true If ZM and ZN are acute angles in a right triangle then cos M sin N always sometimes never

Find the sine of ZQ R 5 12 ola 13 S Q Simplify your answer and write it as a proper fraction improper fraction or whole sin Q

4 R S and T are collinear S is between R and T RS c 5 ST 3c 14 and RT 35 What is the value of c a 11 b 12 c 13 d 14

c congruent d supplementary 8 Name an angle that make a linear pair with ZCOD a ZAOE c LAOB b ZDOE d ZDOC O

1 point Starting from the point 5 4 1 reparametrize the curve r t 5 1t 4 3t 1 2t in terms of arclength r t s 3

1 point Find a parameterization for the curve shown in the figure below r t where t 1 1 0

1 point The figure shows a rectangular box in three dimensional space that contains several vectors The vector c is in the xz plane and the vector e is in the xy plane Are the following statements true or false 1 c f 2 e a b 3 a d 4 a b 5 d g c 46 g f Note You can earn 50 partial credit for 3 5 correct answers Click on graph to enlarge

Find an equation of a plane containing the line r 3 4 1 t 0 2 1 which is parallel to the plane 1x 1y 2z 0 in which the coefficient of x is 1

The function f x tan x is an example of a a horizontal translation b a reflection in both the x axis and y axis Oc reflection in the y axis d reflection in the x axis

a If fri y zk and r find V V lnr b What are the orders of the following differential equations 5y 2 tan z 10

2 Derivatives Differentiation Rules Polynomial and Rational Functions Use the Differentiation Rules to find the derivatives f x of the following functions f x 2a 2 i f x 4x 1 ii f x 7x 7x 5 iii f x 4a7 7 iv f x 0 10 3 x 6 v f x 3z 5 vi f x x 2 x 3 x 2 a 3 viii f x In each case please make sure that your answer is as simple short as possible your answer will be downgraded otherwise Present then your answers to the problem in a table of the following form 2a 2 32 5 vii f 2 Subproblem i ii 2 25 22 2 201 Answer derivative of the first function derivative of the second function 1

a lithium phosphate b gallium sulfate brg maib job f magnesium chlorite c calcium hydrogen carbonate e hydronium acetate d potassium dichromate g ammonium phosphide h potassium thiocyanate

The brightness of certain stars can fluctuate over time Suppose that the brightness of one such star is given by the following function B t 10 5 1 9 cos 0 18r In this equation B t represents the number of magnitudes of brightness and it is the time in days Find the following If necessary round to the nearest hundredth Period of Bdays Minimum brightness magnitudes Number of cycles of 8 per day X G

A cyclist rides his bike at a speed of 11 feet per second What is this speed in miles per hour How many miles will the cyclist travel in 3 hours In your computations use the fact that I mile is equal to 5280 feet Do not round your answers Speed Distanca traveled in 3 hours mi S

tc Sin C the A 7 De 3 ratios 25 24 for Sin C Cos C and Cas use slash to Separate numerator and dominator CT an

entity relationship diagram for telecommunication

The function y x 10 5 was to fit the scatter plot shown Which of the following would create a better trend line A Decrease the slope by 2 units B Decrease the y intercept by 2 units C Increase the slope to positive 1 D Increase the y intercept to 12