Application of derivatives Questions and Answers

Evaluate the integral by interpreting it in terms of areas 2 1 4 x 0x 4 x dx 2

The graph of g consists of two straight lines and a semicircle Use it to evaluate each integral XQ a b y 12 6 0 9 x g x dx 18 110 90 g x dx 21 s g x dx y g x 12 21 X

Use the form of the definition of the integral given in Theorem 4 to evaluate the integral 2 2 x dx

The function S Tr 50 T 30 5 r gives an ice cream shop s daily sales as a function of Temperature T in F and rain r in inches Find ST 90 4 include the appropriate units and explain what it means Sr 90 4

Find fxx 7 1 if f x y 2x2 6xy 5y2 5x 7y 4 fxx 7 1

Find the indicated second order partial derivative for f x y shown below 12 In x y fyy x y if f x y fyy x y

2 2 7 cos 117 Z1 4 Part 0 2 3 Part 1 of 2 uestion 15 of 21 1 point Attempt 1 of Unlimited 4 5 i sin 6 ven complex numbers z and 22 11 IIR 2 16 cos 4 ve an exact answer Express any numbers as integers 7 8 View que 1

of 21 1 point Attempt 1 of complex number from po cos 180 i sin 180

le meine System A company used 11 g of pure gold How many ounces of gold were us The company used about OZ

oose the correct answer beld 0 75 kg 0 75 g 0 75 mg

Consider the graph of f x n x d x 2 that is shown below 4 w Preview N N 5 4 3 2 1 hand 2 3 4 y mad 2 m a When x 4 n x is about how many times as large as d x times as large Preview b Suppose n a is 5 1 times as large as d a where a is some fixed number What is the value of f a f a Preview c Suppose d b is 2 times as large as n b where b is some fixed number What is the value of f b f b H with

Choose the correct answer O 19 mg 19 g O 19 kg

awu aich Homework Question 7 2 Solve the equation logo 2p 16

10 points Let S be the unit sphere with outward pointing normal vector and w be the 2 form w x y z dady 3x 2 dydz x 5y dzdr Evaluate the integral

A jar contains 19 differently coloured balls If you remove all the balls one at a time how many colour sequences are a 19 19 b 19 1 C 19 d 1 e 19

Evaluate the following integral given that and a 9 2 Round your answers to five decimal places Answer 1 e dr edz dx

Ajar contains 18 differently coloured balls If you remove two balls one at a time how many different colour sequences are possible O a 18 O b 18 18 2 2 O c 18 18 2 O d 18 O e 18 2

1 2 e point 9 A 9 26 3 of 23 1 point Attempt 1 of Unlimited 3 3 4 5T 4 51 6 7 8 in polar coordinates to th

Find or approximate all points at which the given function equals its average value on the given interval T f x sin x on 0 6 The function is equal to its average value at x Round to one decimal place as needed Use a comma to separate answers as needed

13 of 23 1 point Attempt equivalent equation using 3 y 4 25

Jse symmetry to evaluate the following integral 4 S 7 1x dx 4 4 S 7 1x dx Type an integer or a decimal 4

Simplify the following expression X dx 7 d dx 7 14 t 7 dt 141 t 7 dt C

Score 0 10 0 10 answered Question 8 The count in a bateria culture was 4 count grows exponentially What was the initial size of th

The equation M x y 67 0 8x 0 4y gives the mileage in mpg of a new car as a function of tire pressure x in psi and speed y in mph Find My 36 58 include the appropriate units and explain what it means M 36 58

Use a calculator and inverse functions to find the radian measures of all angles whose cosine is 0 29

Find fxy x y if f x y xy 3xy2 fxy x y

Determine where the graph of the given function is concave upward and concave downward Find the coordinates of all inflection points f x x 9x x 8 O Concave upward for 5 9 x 0 1 concave downward for x 5 9 and x 0 1 inflection at 5 9 98 8 and 0 1 7 9 O Concave upward for x 3 concave downward for x 3 inflection at 3 59 O Concave upward for x 5 9 and x 0 1 concave downward for 5 9 x 0 1 inflection at 5 9 98 8 and 0 1 7 9 Concave upward for X 3 concave downward for x 3 inflection at 3 59

Question Completion Status Use first and second derivative information to sketch the graph of the function f x 2x5 10x 7 O

Consider the following function Answer 8 B 9x5 u x 3 2 A Step 1 of 3 Identify the general shape and direction of the graph of this function on the interval 1 if x 1 Ay if x 1 x Cartesian Graph x

The equation M x y 73 0 9x 0 1y gives the mileage in mpg of a new car as a function of tire pressure x in psi and speed y in mph Find M 27 48 include the appropriate units and explain what it means M 27 48 togor or a decimal

For each of the following write a formula for the graphed function by using transformations of the graphs of one of the toolkit functions a f x b g x c h x T f x 31 g z Click on a graph to enlarge it T 10 A h z

What is the median in a set of data O The mathematical average O The difference between the highest and lowest number O The number that occurs the most The middle number

Find fx 1 1 if f x y 3xy 1 x y fx 1 1 Type an integer or a simplified fraction

v x Answer 5x 10 1 2 if x 2 if x 2 Step 1 of 3 Identify the general shape and direction of the graph of this function on the interval o 2

1 Find the maximum y value minimum y value period amplitude and midline of the periodic function graphed below 5 3 3 Maximum y value Minimum y value Period Amplitude Midline

PEGAGEMEWRONG ANOW 1x 2003 8 3 D 40 1 21 47072 6 41 36 b dext beda Zeros of fix 3 1 Fx f x B B V A Of Ye 1 for HA Of 1 f x Y A Domain Range or of Of 1 1600 Yw V F00

Solve for x Round to the nearest tenth if necessary X N 37 52 M

Graph the exponential function y 2 x 5 Identify the graph of the function y 2 x 5 n J

A town has a population of 2000 and grows at 2 5 every year To the nearest year how long will it be until the population will reach 2700

The following scorecard shows the distance in golf course Determine the distance to hole 1 fr Hole 1 2 Black Blue Tees Tees 504 504 185 175 Handicap Par 3 5 15 3

1 150 000 m 1 150 000 mg Type an intege

The measure of the co Simplify your answer

Given the points graphed in the following figure use quadratic regression to find the quadratic function of best fit Round the coefficients to three decimal places if necessary Answer Enable Zoom Pan 1073 TA 10 10 Keypad Keyboard Shortcuts

la formula for the linear function depicted in the following graph 10 19 n Enable Zoom Pan

Find the volume V of the solid obtained y 3e x y 3 x 6 V Sketch the region by rotating the region bounded by the given curves about the specified line about y 6

Find the volume V obtained by rotating the region bounded by the curves about the given axis T y 2 sin x y 2 cos x 0 x 4 V 19 486 X about y 2

An automobile company is running a new television commercial in five cities with approximately the same population The following table shows the number of times the commercial is run on TV in each city and the number of car sales in hundreds Find the linear regression line for the data given in the table Round any intermediate calculations to no less than six decimal places and round the coefficients to two decimal places Answer Number of TV commercials x Car sales y in hundreds 37 13 14 19 23 2 98 Keypad

T a The degree measure of rad is 10 b The radian measure of 30 is ot 7 c Find the exact value of cot d Find the exact value of arccos 0 e Find the exact value of sin sin sin 2 f State the reciprocal identity cott 18 g Which trigonometric functions are even h State the Pythagorean identity 1 cot t i State the addition formula for L

Consider the following relation 3 Enable Zoom Pan X A

Consider the following relation 3 O Step 1 of 2 Determine the domain and range for the relation in interval notation Enable Zoom Pan