Application of derivatives Questions and Answers

Let Use logarithmic derivative f x x x6x differentiation to determine the

Find the fundamental solutions to the following equation i e the solutions that are between 0 and 360 Give your answers in degrees 23 sec 0 13 tan 0 sec 0 21 0 Please list your fundamental solutions in ascending order smallest first 4 Fundamental solution 1 Fundamental solution 2 Fundamental solution 3 Fundamental solution 4

For the following word problem write a system of equations and then use matrices and your calculator to save the system Show ALL work this means write a system of equations AND the matrix set up on your worksheet A landlord owns 3 condominiums a 1 bedroom condo a 2 bedroom condo and a 3 bedroom condo The total rent she receives is 2 480 She needs to make repairs on the condos and it costs 10 of the 1 bedroom condo s rent for its repairs 20 of the 2 bedroom condo s rent for its repairs and 30 of the 3 bedroom condo s rent for its repairs The total repair bill was 552 The 3 bedroom condo s rent is twice the 1 bedroom condo s rent How much is the rent for all three condos Show all set ups on your worksheet Rent for 1 bedroom condo Rent for 2 bedroom condo Rent for 3 bedroom condo dollars dollars dollars

Fosters Furriers has a debt equity ratio of 0 is the cost of equity if we factor in the firm s tax rate of 21 pre tax cost of debt is 9 and the required return on assets is 14 5 What A 17 76 B 15 09 c 18 65 D 15 98 E 16 87

Question Part 2 ungee jumping a bungee jump is the amount the cord will stretch at the b ht of the jumper in pounds K is the cord s stiffness in pounds per foot L

r t be a vector valued function defined on the interval 1 t 2 by r t 2 t z frac 4 3 t 3 2 j frac 1 2 t 2 t a Show that r t is smooth on its domain b Find the length of the curve C parametrized by r t Simplify your anower

Find a solution to the following recurrence an 6an 1 16an 2 18 1 for n 2 with initial conditions d 1 and Q 20 an Check your work by calculating a2 from both the recurrence and from your solution formula 0 11

y x 1 2x 5 J dy dx z o find the derivative Tuz 2 3x S

Use a graphing utility to approximate the local maxim

Solve the following inequality 16 X 16x 60 Is the point x 0 included in the solution set of the inequality Yes No Are the other finite end points of the intervals included in the solution set Yes No

Find a formula for the inverse of the function f x f x ln 5x 8

The expression fami e 3 e 6 can be written as ef where x is a function of x Find f x

Use the functions f x x 1 and g x x 5 to answer parts a g a Solve f x 0 d Solve f x 0 e Solve g x 0 b Solve g x 0 c Solve f x g x f Solve f x g x g Solve f x 1

Score on last try 0 of 10 pts See Details for mc Next question Get a similar questio Write an equation for a rational function with Vertical asymptotes at x 3 and x 6 x intercepts at x 1 and x 3 and

low is a list of act es for American Beer Incorporated Required For each activity indicate the impact on the accounting equation After doing so for all transactions ensure that the accounting equation remains in balance The first item is provided as an example Decreases to account classifications should be entered as negative Transaction 1 Provide services to customers on account 1 770 2 Pay 280 for current month s rent 3 Hire a new employee who will be paid 670 at the end of each month 4 Pay 120 for advertising aired in the current period 5 Purchase office supplies for 280 cash 6 Receive cash of 1 170 from customers in 1 above 7 Obtain a loan from the bank for 8 700 8 Receive a bill of 430 for utility costs in the current period 9 Issue common stock for 11 700 cash 10 Pay 670 to employee in 3 above Totals Assets 1 770 Liabilities 0 Stockholders Equity 1 770

My friend has 960 to spend on a fence for her rectangular garden She wants to use cedar fencing which costs 16 foot on one side and cheaper metal fencing which costs 8 foot for the other three sides What are the dimensions of the garden with the largest area she can enclose length for cedar side 30 width for other side 30 x foot foot What is the largest area that can be enclosed area 900 x foot squared decimal places If necessary round your answers accurate to two

Find the horizontal asymptote of 6x 8 4x 1 2 x 5x 2 f x y

Find the horizontal asymptote of 5x 3x 2 f x x 4x 3 y

Given 4 is a zero find the rest of the zeros of f x x 15x 4 Enter the all of the zeros separated by commas Enter exact value not decimal approximations

Find the radius r of the circle if an arc of length 20 m on the circle subtends a central angle of 5 7 rad Round your answer to two decimal places r m

Find an angle between 0 and 360 that is coterminal with the given angle 880

A power function with form y ax passes through the points 2 16 and 5 250 Find the constants a and pa p

Given the function P x x 4 x 8 identify the following Vertical Intercept Written as an ordered pair Horizontal Intercepts Written as a list of ordered pairs separated by commas Identify the end behavior When x P x When x P x

A power function with form y ax passes through 27 and 4 3 12 the points 3 a and p a Find the constants p

x intercepts 1 0 and 3 0 y intercept 0 2 y

f be continuous and nonnegative on a b with M sup f x x a b Show M lim n b f 1 e Y dz dx b a a 1 n

Student Painters which specializes in painting the exterior of residential buildings has seven people available to be Organized into three person and four person teams Within a team each person has a different job a Using the generalized multiplication principle determine how many ways a three person team can be formes 35 x ways b Using the generalized multiplication principle determine how many ways a four person team can be formed 35 x ways c Using your results from parts a and b determine how many ways the company can form either a three person team or a four person team from the available people 70 x ways

Consider the following function 2x 1 xs 1 x 2 x 1 a Find the critical numbers of f Enter your answers as a comma separated list X I b Find the open intervals on which the function is increasing or decreasing Enter your answers increasing decreasing c Apply the First Derivative Test to identify the relative extremum If an answer does not exist x y 1 1 0 2 relative maximum relative minimum x y

B TU sin COS tan 4 5 as a single logarithm 1 2 3 0 Rewrite the expression 6 ans X 3 log 2 log x 1 4 log x 1

B R T K 3 1 23 o Match each equation with a graph above 4 1 23 3 0 66 3 1 42 3 0 89 a red R b black K c blue B d green G e orange 0

Writing Exponential Functions Given the Initial Value and Rate of Change write the exponential function for each of the following Initial Value 1485 4590 1850 1488 4518 2623 221 Rate Growth Rate 16 Growth Rate 4 Growth Rate 3 5 Growth Rate 112 Decay Rate 27 Decay Rate 5 700 f x f x f x f x f x f x f x Function

Decomposing Exponential Functions Given the Exponential Function determine the Initial Value and Rate of Change as a Percent for each of the following Initial Value Growth or Decay Rate as a Select an answer Select an answer Select an answer Select an answer Select an answer Select an answer Exponential Function p t 1850 5 f x 3746 1 12 d t 4060 0 94 f x 3421 0 86 h x 4375 1 055 g x 645 1 09

YouTube SISD EPCC 1 0 Paraphrasing Tool Course Home G Gra y 1 0 0 5 42 0 5 0 5 1 0 0 5 1 0 X Approximate the critical numbers Enter your answers as a comma separated list

Find the absolute extrema of the function on the closed interval minimum maximum f x cos TX 0 x y x y

Determine the Horizontal and Vertical Asymptote for each of the following functions Write each Asymptote as an equation If an Asymptote doesn t exist write DNE Rational Function Horizontal Asymptote f x g x f x h x 9 8 4x 28x 3 7x 7 3x 3 5 20 I 4x 12 Video 1 Shortcut Rules for Horizontal Asymptotes HA Vertical Asymptote

Match equation question type with a graph x A x B y y y x A x B x A x B x A x B a b C a

f x x 4 x 8x 4 with remainder 2 Then f 4

Su 0 2 ans Use the synthetic division to divide p x by l x p x 2x 3x 6x 9 1 x x 3 3 6 9 The quotient of the division is q x The remainder of the division is r x Is 1 x a factor of p x J What is p 3 equal to Find it without plugging 3 in the polynomial

Find all possible rational zeros of 5x 4x 7x 3 Write all answers as reduced fractions and use to represent the symb

Find all zeros of the function f x 9x 27x 16x 48 Enter the zeros separate commas

Fill in the blank with a number to make the expression a perfect square 2 14 18u 0 8

A factory is to be built on a lot measuring 240 ft by 320 ft A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory What must the width of the lawn be 960 X If the dimensions of the factory are A ft by B ft with A B then A and B

The polynomial P x is degree 3 and has a root of multiplicity 2 at x 4 a root of multiplicity 1 at x 3 y intercept 0 4 8 P x

The due date on Maxine s credit card is the 8th day of each month Assume the annual interest rate on her card is 14 and the finance charge is computed using the ending balance method Maxine s unpaid credit card balance on July 8th is 1 650 From July 9th to August 8th she charged an additional 380 and made a payment of 450 Find the total unpaid balance on Maxine s card on August 8th Balance What additional finance charge will be added to her August balance after the 8th Finance charge

Use transformations to graph the function 7 x 2 x 5 6 4 da fas ah Fe DA

Use translations to graph the given function k x x 2 of 10 n 43 m id 9 M X

Homework C1S4 Question 4 of 7 1 point Question Attempt 1 of U Part 1 of 2 a The equation written in slope intercept form is y 5 4 The y intercept is 0 5 Write your answer The slope is Part 1 2 Part 2 of 2 b Graph the equation using the slope and y intercep 12 10 8

Determine the slope of the line 3 q T 2 3 T 3 1 a The slope of the line is 2 3 A

Graph the equation and identify the x and y intercepts x 3y 3 Part 1 of 2 Graph x 3y 3 20 18 16 14 12 10 6 R 2299 16 ded 14 724 12 A 10 12 14 16 18 20

1 2 Determine if the lines de x 8 3x 3 y x 2 4 The lines are Choos