Questions

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

Evaluate the following indefinite integrals A 2 2e 5 dx C ex dx B 2 5 da 2e

Find the average value of the function f t 2te t for the interval 0

Evaluate the indefinite integral

Evaluate the indefinite integral

Evaluate the indefinite integral 4 4 sin x 14

Evaluate the indefinite integral

Evaluate the indefinite integral a V

Evaluate the indefinite integral

Evaluate the indefinite integral

Evaluate the integral by making the given substitution 9 sin dx u x

Evaluate the integral by making the substitution u 4 1 C Note Your answer should be in terms of r and not 1

11 Perform the indicated operations Simplify the answer 5i 125 5 25 25i

How many zeros or roots are shown in the image 6