Vector Calculus Questions and Answers

Use DeMoivre s Theorem to find the indicated power Write the answer in rectangular form 14 2001 i sin 10 2 cos

TRIGONOMETRIC Write the complex number in pelar form Express the argument 0 in degrees with 0 0 360 7 3i

Solve the triangle Round side lengths and angle measures to the nearest tenth when necessary 2 A 45 4 5 B

N 14 72 I 1 O P Q 15 16 17 18 19 3 4 5 6 7 8 9 10 11 12 13 To code a secret message we can use the function f x 2x 1 Take each letter of the message and input its corresponding number into this function By doing this we get a coded message What is the inverse of f x 2x 1 f x R S T U V W X Y Z 20 21 22 23 24 25 26 27 51 3 29 39 47 11 37 I

oh the function y tion COS 7 Questi Pa Use the graph to determine th the graphing tool to graph the equation Type pi to insert as needed

1 cos 5x Show at least two cycles Use the grap the function y and range of the function Question Part e graphing tool to graph the equation Type pi to insert as needed 1 domain of y cos 5x

Ques the following function Show at least two cycles Use the graph of the function 1 5 sin x

Suppose that f x 7 6x e Note Several parts of this problem require answers entered in interval notation Note with interval notation you can enter the empty set as A List all the critical values of f x Note If there are no critical values enter NONE B Use interval notation to indicate where f x is increasing Increasing C Use interval notation to indicate where f x is decreasing Decreasing D List the values of all local maxima of f x If there are no local maxima enter NONE values of local maxima E List the values of all local minima of f x If there are no local minima enter NONE values of local minima F Use interval notation to indicate where f a is concave up Concave up G Use interval notation to indicate where f x is concave down Concave down

Let f x 6 x 4 2 3 8 A Find all critical values and list them below Note If there are no critical values enter NONE B Use interval notation to indicate where f x is increasing Increasing C Use interval notation to indicate where f x is decreasing Decreasing D List the values of all local maxima of f If there are no local maxima enter NONE values of local maxima E List the values of local minima values of all local minima of f If there are no local minima enter NONE

An object travels through two dimensional space in accordance with the parametric curve r t 1 1 2 where time t is measured in seconds and distance is measured in meters a Sketch the trajectory of the object Then give a description in plain English of how the object travels along this trajectory Include in your description information about the direction of motion of the object as well as information about if and when the object is speeding up or slowing down b Does the object s speed ever reach 100 m s If so when c Does the object travel with constant acceleration Explain

Find the sum of each infinite geometric series or indicate that the sum does not exist 6 4 5 25 7 20 4 8 2 12 72 432 79 10

Graph the function as a blue line or curve and then gr red line or curve

1 It is important to note that not all functions will have an inverse function Since the inverse f z takes an output of f and returns an input of f in order for f to itself be a function then each output of f input to f must correspond to exactly one input of f output of f in order for f to be a function You might recall that this is the definition of a one to one function Properties of inverses In order for a function to have an inverse it must be a one to one function That is its graph must pass the Horizontal Line Test In some cases it is desirable to have an inverse for a function even though the function is not one to one In those cases we can often limit the domain of the original function to an interval on which the function is one to one then find an inverse only on that interval If you have not already done so go back to the toolkit functions that were not one to one and limit or restrict the domain of the original function so that it is one to one If you are not sure how to do this proceed to Example 6 Example 6 The quadratic function h x x is not one to one Find a domain on which this function is one to one and find the inverse on that domain Show solution 4 Exercise 1 6 5 The reciprocal squared function f x r function is one to one and find the inverse on that domain using the variable Domain 0 00 0 is not one to one Find a positive domain on which this uring an incorrect one

Find the x coordinate of the absolute maximum for the function 2 5 ln x f x x x 0

The answer above is NOT correct The region in the first quadrant bounded by y 2x 2x y 4 and the y axis is rotate about the line x 1

Please show ALL work or NO CREDIT will be given 1 Let u 2 1 v 4 2 and w 1 3 be vectors Find the indicated expressic

quation set is ger or a simplified fraction

D No or minimal work needed NO Calculator Final t 45

Use calculus to find the area of the triangle with the vertices 0 5 2 2 and 5 1 Area between curves

Help Lecture 87 Ex 87 2 Ex 87 3 9 For the Fibonacci function F x what is the minimum positive value of x for whic F x 2

For example 300 K 2250 K nteger one space between the number and the units Help Lecture 83 Ex 83 3 8 Find T given the following P 3 atm T 40 C V 500 L P 1 atm V 2 x 10 L Round answer to the nearest integer

11 84 Given that cose x then tane Select one O 1 x 2 1 x X 1 x X 2 x 1 X

15 71 0 Solve cot 1 0 given that 0 0 27 3 Select one 3 9T 49 4 55 55 55 4 4 15TT 4

Type answer as an a b integer pair no decimals and no spaces between characters Examples include 22 5 and 6 38 Help Lecture 78 Ex 78 2 157 If the graphs x y a 0 and y 2x intersect at 3 b find a and b

Find u v given that the angle between u and vis 0 55 u 3 v 2 Select one

ABCD is a square of side L A line parallel to the diagonal BD at a distance x from the vertex A cuts two adjacent sides Find the area of the segment of the square with A at a vertex as a function of x at x 2 when L 2 1 8 2 1 2 8 3 8 2 1 4 8 2

Help Lecture 42 Ex 42 2 2042 Find the radius of a circle whose center is at 2 3 and one point on the circumfer equals 0 1 Round to 2 d p

Current Attempt in Progress The ledger of Swifty Rental Agency on March 31 of the current year includes the selected accounts below before adjusting entries have been prepared Supplies Prepaid Insurance Equipment Accumulated Depreciation Equipment Notes Payable Unearned Rent Revenue Rent Revenue Interest Expense Salaries and Wages Expense 1 2 3 4 An analysis of the accounts shows the following 5 1 2 3 A 5 No Date Account Titles and Explanation Mar 31 Debit Mar 31 5 700 Mar 31 6 840 Mar 31 47 500 Prepare the adjusting entries at March 31 assuming that adjusting entries are made quarterly List all debit entries before credit entries If no entry is required select No Entry for the account titles and enter O for the amounts Credit account titles are automatically indented when the amount is entered Do not indent manually Mar 31 0 26 600 The equipment depreciates 532 per month Half of the unearned rent revenue was earned during the quarter Interest of 760 is accrued on the notes payable Supplies on hand total 1 615 Insurance expires at the rate of 760 per month Credit 15 960 38 000 23 560 114 000 Debit Credit

choose three specific strategies you can implement as an Online student First list the strategy from the module and then under each strategy illustrate in at least three different ways how you will incorporate these strategies to help you achieve balance between work school and life 139 Strategy 1 list here a C Strategy 2 list here a b C Strategy 3 list here a b

onvert the quantity to the indicated 17 3 L to pints 7 3 L pints Round to the near

Solve the equation Write the answer in terms of the natural logarithm 8x 1 2 The solution set is Type an exact answer in simplified form Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed

The plot below represents the function f x 5 4 3 2 7 X 8 7 6 5 4 3 2 1 Evaluate f 2 1 2 2 Solve f x 2 1 2 3 4 5

Use the given information about the angle to find the exact value of each of the following a sin 20 c tan 20 tan 0 5 3 b cos 20 sin 0 0 a sin 20 Type an integer or a simplified fraction Type an exact answer using radicals as needed b cos 20 Type an integer or a simplified fraction Type an exact answer using radicals as needed c tan 20 Type an integer or a simplified fraction Type an exact answer using radicals as poodod

John and Ariana bought school supplies John spent 9 70 on 5 notebooks and 4 pens Ariana spent 7 10 on 4 notebooks and 2 pens What is the cost of 1 notebook and what is the cost of 1 pen Part 0 2 3 Part 1 of 2 The cost of one notebook is 3

Establish the identity 1 1 1 sin 0 1 sin 0 Which of the following statements establishes the identity O A OB O C O D 1 1 sin 0 1 1 sin 0 2 sec 0 1 1 sin 0 1 1 sin 0 1 1 1 sin 0 1 sin 0 2 2 2 1 cos 0 sin 0 1 2 2 2 1 sine 1 cos 0 1 sin 0 csc 0 1 1 sin 0 1 sin 0 1 sin 0 1 sin 0 1 sin 0 2 sec 0 1 sin 0 1 sin 0 1 sin 0 1 sin 2 1 sin 0 2 sec 0 2 2 Cos 0 2 2 1 sin 0 csc 0 2 2 sec 0 2 sec 0

Simplify the expression sec xsin x csc x cos x sec x sin x sec xsin x csc x cos x 0 sec x sin x Use integers or decimals for any numbers in the expression

Verify the identity sin 4 t cost 1 2 cos t 2 Which of the following four statements establishes the identity A sin 4 t cos 4 t cos t sin t cos t 1 2 cos t O 2 OB sin 4 t cos 4 t sin t cos t sin t cos t 1 2 cos t OC sin 4 t cos 4 t sin t sin t cos t 1 2 cos t OD sin4 t cos 4 t sin t cos t sin t cos t 1 2 cos t

Find all solutions of the equation Express the solutions in degrees 7secx 14 0 X or x where n is any integer Type any angle measures in degrees Use ascending order Use angle moncurs propter

2 Find an equation for each of the functions graphed at the right Each one is either and absolute value function or a quadratic function 2 1 9 1 00

Establish the identity sin B sin a sin Choose the sequence of steps below that verifies the identity O A OB O C cot cot x O D sin B sin a cos cos a sin sin a cos sin a sin cos acos cos a cos sin B sin a cos cos a sin sin a cos sin asin sin asin B sin asin sin B sin a cos cos a sin B sin asin sin a sin sin x sin a sin sin a cos sin a sin sin a sin cos a cos sin asin sin asin sin a sin cos asin cos a cos cos a sin sin a sin cos a sin sin a sin cos x cos sin asin cot cot a cot cot a cot cot a cot cot a

9 Find the distance between 1 2 and 1 a c 2 3 b d 2

a Show that if a varies then the polar equation r asec 2 0 2 describes a family of lines I perpendicular to the polar axis

5 Find the polar coordinates if x y 3 1 r 0 2 0 0 a c 2 7 6 2 7 3 b 2 2 d 2 2

he domain of the function 5 x log 6

can retry this question below Complete the description of the piecewise function graphed below Use interval notation to indicate the intervals 6 5 4 3 2 f x 4 2 1 2 Question Help 3 5 6 3 if 5 x 1 5 if x 1 x 2 1 if x2 x 4 Video Post to forum X X

1 point Use Stokes Theorem to find the circulation of F 6yi 3zj 7xk around the triangle obtained by tracing out the path 6 0 0 to 6 0 3 to 6 4 3 back to 6 0 0 So Circulation F dr 18

G K B R If all the graphs above have equations with form y Which graph has the largest value for b Select an a Which graph has the smallest value for b Select an Which graph has the largest value for a Select an a

Simplify Enter the result as To enter the log click in the Then click the Functions tak Using the keyboard you ca log2 2x log2 4x

13 Transportation Costs A retailer has stores in Columbus and Dayton and has warehouses in Akron and Springfield Each store requires delivery of exactly 150 DVD players In the Akron warehouse there are 200 DVD players and in the Springfield warehouse there are 150 The transportation costs to ship DVD players from the warehouses to the stores are given in the following table For example the cost to ship a DVD player from Akron to the Columbus store is 5 How should the retailer order the DVD players so that the requirements of the stores are met and the total transportation costs are minimized What is the minimum transportation cost

eclassyorku ca mod quiz attempt php attempt 4647941 cmid 1969599 page 8 9 MOSESOR ard My courses SC MATH1507 M N O P Q R S Mathematics II for t