Questions

7 7 g n 2n 4n f n n 4 Find go 1 9 g n 3n 3 hn 4n 3 Find goh 6 8 8 g t 3t 1 h t 1 5 Find goh 1 10 10 g x 3x 1 Find gog 3

5 g t 1 3 h t 21 1 Find goh t A 21 1 3 B 23 182 55t 57 C 121 4 D 2t3 18t 551 57 6 6 g t 1 1 f 5 1 Find go f 5

What is the name of the organ or nerve diaphragm

Create a rational function in factored form with Vertical asymptotes at x 2 and x 1 x intercepts at x 2 and x 6 y intercept at 9 V

Consider the curve given by the 2 2 2 2 equation x y 2x 2y x 2 22 Find the equation of the tangent lin at 0 1

Mt Nittany Property Management Company and Happy Valley Rentals are two different businesses that manage numerous apartments around town Both companies use the same monthly profit model given by P x 9x2 1368x 18000 where x represents the number of apartments rented in a month and P x is in dollars a Assuming Mt Nittany Property Management Company manages 100 apartments find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits Number of apartments 76 Maximum monthly profit 33985 x dollars b Assuming Happy Valley Rentals manages 50 apartments find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits Number of apartments Maximum monthly profits dollars

2 3 Let A and B 3 5 given that AX X B 3 Find the 1 2 entry of matrix 0 1 3 9 9 1

What is the name of the nerve

Figure 22 26 Human digestive system accessory organs model 1 2 3 Duodenum 8 9 10

profit The HiWay Robery Financial Group has determined to advise x clients at their upcoming series of get rich quick seminars the price per client p x in dollars that must be charged is p x 1200 8x The financial group also determines that the total cost of advising x clients is given by C x 576x 800 How many clients does the financial group need to have in order to maximize their profit Number of clients 39 What price p should they charge each client in order to maximize their profit Price per client p 888 Compute their maximum profit dollars Maximum profit 6 857 824 X Your answer must be a fraction integer or exact decimal dollars

2 2 2 t ny t ty y dt 11 x 1 x 1

1 Points DETAILS The demand equation for video games is given by x 480 15p where x is the number of video games and p is in dollars Determine the value of p that maximizes total revenue P dollars Use this value of p to compute the maximum total revenue Maximum total revenue dollars

A billboard designer has decided that a sign should have 5 ft margins at the top and bottom and 1 ft margins on the left and right sides Furthermore the billboard should have a total area of 4500 ft including the margins Printed Region If x denotes the left right width in feet of the billboard determine the value of x that maximizes the area of the printed region of the billboard X feet

Determine the absolute extreme values of the function f x Absolute minimum value 4 Absolute maximum value 20 x 32 12 x X2 3 on the interval 20 10

A rectangular field is to be enclosed by 780 feet of fence One side of the field is a building so fencing is not required on that side Let x denote the length of one side of the rectangle perpendicular t the building Determine the dimensions of the rectangle that maximize its area Length of side perpendicular to the building x feet Fenced Area Building

1 solve for x tan 2 Frank tan cos esc x 1 COS 2X csc x

Solve the logarithmic equation for x Enter your answers as a comma separated list log x log x 48 2x

Which phase s of cellular respiration release carbon dioxide as a waste product Glycolysis and Electron Transport Chain Citric Acid Cycle Only Citric Acid Cycle Prep and Citric Acid Cycle Electron Transport Chain Only

Find the area of a region between two polar curves Question Find the exact area inside r 2 and below r 2 csc 0

Which of the following equations best summarizes photosynthesis a 6 CO2 6 H2O light energy C6H1206 6 02 6 CO2 6 H2O 6 02 C6H1206 6 CO2 6 02 light energy C6H12O6 6 H2O C6H12O6 6 026 CO2 6 H2O ATP

Figure 22 22 Human small and large intestines model 2 4 5 6 CAltay Scientific Group 9 10 11 12 13 14

Figure 22 16 Human head model sagittal section 2 3 4 5 6 Larynx 8

10 Examine the following Punnett squares d D P D a d A a

ove AACE is an osceles triangle E EXAMPLES 1 AND 2 B C

An object is thrown seconds after it is thrown its height is given by t h t 16t 192t 400 feet The object reaches its highest point after The object s maximum height is feet seconds

Suppose your data values are 19 19 20 16 12 and your center is 11 Complete the table Data value 19 19 20 16 12 Squared deviation

38 3 poly 3a 3 na n 6 6mx 2m 9x 3 38 4a 7kn 6k 14n 12 6 7x 7a Bach 50 38 5 a 5y y y 5 6 y3 4 2y 2y c ax 3x 4a 12 d 2mx3m 4x 6 B 9m 9mn 5m 5n r be 3ac 2ab 6a B 2 21 3z 72 r 2 322 23 3

Suppose we want to minimize the sum of the squared deviations from a center Let our data values be 18 17 18 14 18 and let our center be The sum of the squared deviations can be expressed as f x

You want to enclose a rectangular region with 500 feet of fencing Express A w the area of the region as a function of its with A w

4 7 4 7 7 9 11 The range is 7 Simplify your answer The standard deviation is Round the final answer to the nearest hundredth as needed Round all intermediate values to the nearest hund as needed

This system has one solution y x 3x 7 y 3x 2 What is the y coordinate of the solution Enter your answer in the box

nt Complete the square y 2x 3 2y y 0

How many real solutions does the system have y 3x 1 y x 3x 4 Enter your answer in the box

Quick Fix Inc repairs bikes The company s revenue is modeled by the function R h 220h 160 for every h hours spent repairing bikes The company s overhead cost is modeled by the function C h 20h 400 After how many hours does the company break even Enter your answer in the box

1 2 3 4 5 6 Determine the vertical asymptotes of the graph of the function Give your answers as equations in exact form m x 2 x 5 Separate multiple equations with commas as necessary Select None if applicable Equation s of the vertical asymptote s None 5

Write the rational expression in factored form by dragging the correct factors in the box provided 7x 56 x2 5x 24 7 1 x 3 x 8 x 6 x 7 8

Evaluate the definite integral

Evaluate the indefinite integral

Find the average value of f x cos 4x on the interval 0 2

3 Solve each continous exponential growth problem 1 A savings account balance is compounded continuously If the interest rate is 2 per year and the current balance is 1 930 00 what will the balance be 12 years from now 2 2 3 A savings account balance is compounded continuously If the interest rate is 2 per year and the current balance is 1 973 00 what will the balance be 5 years from now 4 4

Write the rational expression in factored form by dragging the correct factors from the box provided Note not all responses will be needed and some responses may be used more than once POSSIBL 12x 4x 20x2 8x 4x 3 3x 1 3x 1 4x 8x 12x 52 2 8x 2 3x 1

1 0 A savings account balance is compounded monthly If the interest rate is 4 5 per year and the current balance is 1 864 00 what will the balance be 22 years from now Type a response

Simplify the rational expression into lowest terms A B 4 2 322 48 3 x 4 3 x 4 C 3 x 4 D 3 x 4

Simplify the rational expression into lowest terms x 6x 9 2 9 A 2 3 x 3 B 3 C D 6z 1 3 2 3

Evaluate the indefinite integral sin 3t sec sin

Evaluate the indefinite integral

Evaluate the indefinite integral

Evaluate the definite integral T 2 8x8 1 2

Evaluate the indefinite integral

Evaluate the indefinite integral