Differentiation Questions and Answers

The angle between 0 and 360 that is coterminal with the 1457 angle is degrees

From the information given find the quadrant in which the terminal point determined by t lies Input I II III or IV a sin t 0 and cos t 0 quadrant b sin t 0 and cos t 0 quadrant c sin t 0 and cos t 0 quadrant d sin t 0 and cos t 0 quadrant

The angle between 0 and 360 that is coterminal with the 131 angle is degrees 3 P E JERA M N

gnment 9 Problem 10 Problem Problem List Next Problem ind the absolute maximum and absolute minimum values of the function f x x 6x of the indicated intervals 8 0 te maximum te minimum 1 5 4 te maximum te minimum 8 4 te maximum

Note You can ea Preview My Ar You have attemp You have 3 attem

8 Multiply by hand if possible if not explain why you cannot multiply 3 points 2 1 2 7 3 2 OR 5 1 Show what you multiplied and added to get the values in the last row 500146421 1 10 5 3 2 3 1 2 0 1 4 11 Find the determinant of matrix below by hand Show all steps EXPAND two different ways 1 5

1 Find dy dx do not simplify the answer y In cos x 1 2 Find dy dx given that sin xy x 4y 3 A Given the following sign chart of y f x with f x 0 at x a b and c Draw y f x over the sign chart and label the corresponding points on the graph at a b and c y f x B Given the following sign chart of y f x with f x 0 at x a b and c Draw y f x over the sign chart and label the corresponding points on the graph at a b and c y f x 4 Sketch the graph y x 2x 3 Find its extrema and inflection points if any Indicate where it s increasing decreasing concave up and concave down

10 Janet Spurlock can invest 25 000 at 5 25 in a 1 year CD compounded quarterly or a 1 year CD compounded daily a What is the amount of the CD at maturity for each rate b What is the difference in the interest earned

If a box s length is twice its width and the perimeter of the box is 36cm Then the length of the box is 6cm True Falsa

Use the definition of the derivative to find the following f x if f x 5x 7 f x Simplify your answer

Use the equation given below to calculate the slope of a line tangent to y 5x 6x at P 5 95 f x h f x h mpQ m Type an integer or decimal

Use the equation mpa The slope is f x h f x h to calculate the slope of a line tangent to the curve of the function y f x 3x at the point P X 1 P 1 5

A 10 2 resistor and a variable resistor of resistance R are placed in parallel The expression for the resulting resistance Ry is given by RT The limiting value of RT is Simplify your answer 10R 10 R Determine the limiting value of Rr as R 00

Rewrite as an algebraic expression in terms of b Assume all angles are in Quadrant I 10 cos sin Your answer should have no trigonometric functions

Determine the shaded area This figure is not drawn to scale The shaded area is Type an integer or decir 2 m the nearest hundredth as

Match each graph with its equation Not all equations w y csc x y cot x y cos x y sec x y sin x y tan x H 3 4 U U M

Which of the following represents the domain and range of y x 5 7 Solve this either by considering the shifting that has occurred to y x or by producing a graph on your calculator 1 Domain 5 00 Range 7 00 101 2 Domain 5 Range 7 00 3 Domain 7 00 Range 5 00 4 Domain 7 00 Range 5 00

ork rmine a the area and b the perimeter of the quadrilateral Not m cm Question 1 8 3 11 Part 2 of 2 cm

b Find the critical points of the function f x X x 2

1 f x x4 g x f x 3 27 4x 3 The function g x can be written in the form g x x ax bx c Determine the values of a b and c writing your answer in the form a b c

2 4x 2x 64 x a 3 1 b 4 1 c 3 1 d 4 1

25 Find the logarithm cos 81 40 a 9 1612 10 b 9 9954 10 c 9 8388 10 d 9 004610

24 Find the logarithm 0 04992 a 8 6983 10 b 8 3156 10 c 2 3156 d 2 6983

16 Evaluate log 18 What is an intermediate step a 4343 log10 18 2 3026 log10 18 4343 c log10 18 d 2 3026 log 0 18 b

18 Write the expression logx log logb as a single logarithm a log b log c log d log T X b TTX 2 b TT X 2b TTX 2b

14 Evaluate log 15 What is an intermediate step 1 log10 15 log102 log10 15 log 0 2 log 0 2 log10 15 d logio 15 1992 a b C

Find the exact value of the expression sin OA OB 11x 12 D 2 3 1 4 2 3 1 Oc 2 3 1 2 3 1

O Hom The two parallel lines are cut by the transversal shown Determine the measures of 41 through 47

1 Lines and 2 are parallel lines Determine th 412

supplementary angle of 37 plify your answer Type an

Use the figure to find CFnIF

1 Lines and 2 412 are parallel lines Determine the mea

Identify the figure as a line half line ray line segment B G

Width Height Question Help Video Submit Question Question 7 Jump to Answer 0 1 pt100 99 Details A farmer finds that if she plants 50 trees per acre each tree will yield 40 bushels of fruit She estimates that for each additional tree planted per acre the yield of each tree will decrease by 4 bushels How many trees should she plant per acre to maximize her harvest

Suppose esin O y where inside and there are expressions in terms of x only Someone tried to find y using implicit differentiation The first two lines of their solution is shown below Find as list all error s in their solution Type your answer in the space provided Do not find y Line 1 dx de sin O y Line 2 y e 1 1 0 O Y

9 Sketch a graph of the function f x 2 sin 6 5 4 3 Clear All Draw M 2 4 3 2 1 N 2 AWN 4 6 7 2 1 6 8 O 21

In this problem only enter a number as your answer g sin 1 2 Note g t is a function g sin t means we applied the function g to sin 1 t Suppose 1 If g 0 10 and g 0 1 find 0 Note that sin 1 0 0

In this problem only enter a number as your answer Suppose f t tan g 2t If g 2 1 and g 2 8 find 1 Note g t is a function g 2t means we applied the function g to 2t

Given the equation y 7 sin 5 x 2 6 The amplitude is The period is The horizontal shift is The midline is y k units to the Select an answer

ind all local minima local maxima and saddle points of the function f x1 x2 x3 x x x x x x x 3x3

d the linearization of 25 3 4 41 f x 25 x X X at a AS U

A campground owner has 1900 m of fencing He wants to end x represent the width of the field a Write an expression for the length of the field as a function b Find the area of the field area length x width as a functi c Find the value of x leading to the maximum area d Find the maximum area

in Economics Spring 2023 kills Check Question 13 4 Part 3 of wwwww A company markets exercise DVDs that sell for 19 95 includin costs materials shipping etc are 8 45 per DVD A Find the cost equation and the revenue equation B How many DVDs must be sold each month for the company C Graph the cost and revenue equations in the same coordina

k e system of equations by graphing 5 10 Question 5 4 1 13 Part 2 of 2 graphing tool to graph the two equations he solution is e correct choice below and if necessary fill in the answer box to complete ce

Match the system of equations below with its graph and use the graph 16x 4x 4y 16 y 0 Which graph below is the graph of the system of equations B

kills Check A linear system where m b n and c are nonzer y mx b y nx c Discuss the relationships among the four consta Choose the correct answer below A For this to be true m n and b c B For this to be true m n and b c

Which graph represents a function 41 34 2 1 O 4 3 2 4 3 2 2 3 4 4 3 2 1 11 24 3 4 A 3 24 1 11 2 3 1 1 D 2 2 3 3 4 4

determine the of dy dx ysinhx sec 1 tanh 1x use logarithmic differentitation in solving

7 10 points Let the demand and supply function for a commodity be Qa D p Y Dp 0 Dy 0 Qs S p w Sp 0 Sw 0 where p is the price Y in exogenous income and w is the exogenous wage rate a Find and using the implicit function theorem b Find and dy by totally differentiating the equilibrium condition dw

For a certain company the relationship between revenue R in millions and number of employees n in thousands can be approximated by the following equation shown below 3R 959 In 2012 the company generated revenue of 37 billion had 185 000 employees and was adding employees at the rate of 13 000 per year Find the rate of change of revenue with respect to time About billon per year Round to the nearest billion as needed CED