Questions

I Analysis Elasticity Course Packet on marginal analysis If the demand function for math self help videos is given by 40 0 6x and the total cost function to manufacture the videos is given by 3x 28 evaluate the marginal profit function at x 10 Marginal Profit This means that if production and sales increase by one unit then total profit will O increase O decrease by approximately dollars

Marginal Analysis Elasticity Course Packet on marginal analysis The weekly demand for Xbox Math Hero video games is given by p x 110x 450 where x is the number of Xbox video games produced and sold and p is in dollars Using the Marginal Revenue function R x approximate the marginal revenue when 10 Math Hero video gam have been produced and sold dollars

Test each of the following identities by first evaluating both sides to see that they are numerically equal when u 12 and v 43 Then let u x and u 22 and compare the graphs of each side of the identity as functions of x in degrees For example in part a graph one of y sin x 22 or y sinx cos22 sin22 cosx for 360 x 360 Round your answers to 3 decimal places a sin u v sinu cosu sinu cosu b sin u v sinu cosu c cos u v cosu Cosu sinu cosu sinu sinu d cos u v cosu Cosu sinu sinu

Marginal Analysis Elasticity Course Packet on marginal analysis The daily cost in dollars of producing Samsung VR headsets is given by C x 1600 300x 9x where x denotes the number of headsets produced in a day and the total revenue in dollars is given by R x 8000x 20x Using the marginal average profit function P x approximate the marginal average profit when 4 headsets have been produced and s

30 11 CERKETPLA C TABLEMENTE

Find angle a in the diagram below A 30 20 40 D 60 a 5 E 5

Submit Answer 1 Points DETAILS Math 110 Course Resources Marginal Analysis Elasticity Course Packet on elasticity of demand and finding the unitary price point Given the demand equation x 40 0 where p represents the price in dollars and x the number of units determine the value of p where the elasticity of der 5 Price p dollars This is the price at which total revenue is O minimized

Marginal Analysis Elasticity Course Packet on marginal analysis The weekly demand for Math Wars The Force Multiplies video games is given by p 560 X 7 3500 Video where x is the number of thousands of video games produced and sold and p is in dollars Using the Marginal Revenue function R x approximate the marginal revenue when 14 000 video game have been produced and sold dollars

Marginal Analysis Elasticity Course Packet on elasticity of demand Given the demand equation x 10 where p represents the price in dollars and x the number of units determine the elasticity of demand when the price p is equal to 2 20 P Elasticity of Demand Therefore demand is O elastic O unitary Oinelastic when price is equal to 2 and a small increase in price will result in O little to no change in total revenue O a decrease in total revenue O an increase in total revenue

Marginal Analysis Elasticity Course Packet on elasticity of demand Determine whether each statement is true or false You have one submission for each statement a If demand is unitary when the unit price is p 4 then revenue will decrease if the unit price is increased slightly from 5 OTrue OFalse b If demand is unitary when the unit price is p 4 then revenue will decrease if the unit price is increased slightly from 3 OTrue OFalse c Total revenue is decreasing when the demand is elastic and the price is increased slightly OTrue OFalse d Total revenue is maximized at the equilibrium point OTrue OFalse e Total revenue is increasing when the demand is inelastic and the price is increased slightly OTrue OFalse f Total revenue is maximized when the demand is unitary OTrue OFalse

on basic rules of differentiation an example of the Let f x 2x2 9x 6 9 2 Compute f x 2x 9x 6 4x 9 f x X

Marginal Analysis Elasticity Course Packet on marginal analysis Let C x represent the cost and R x the revenue in dollars associated with producing and selling x units of Dr Little s Winning at Love A Strategy Guide to the Game of Tennis If C 30 63 am R 30 63 which one of the following statements is true O Since marginal cost equals marginal revenue total profits are negative when 30 items have been sold O Producing and selling the 31st item vill have little to no effect on total profits O Since marginal cost equals marginal revenue total profits are positive when 30 items have been sold O Producing and selling the 31st item will decrease total profits O Producing and selling the 31st item will increase total profits

Some years ago it was estimated that the demand for steel approximately satisfied the equation p 160 20x and the total cost of producing x units of steel was C x 176 40x The quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars Determine the level of production and the corresponding price that maximize the profits The maximum profit occurs at x 3 million tons The corresponding price is dollars per ton

K cot 18 Type an exact answer Simplify your answer Type any angle measures in degrees Do not include the degree symbol in your answe

D C C is a positive subformula of estion 11 CA D E F G C A F G but not vice versa is a positive subformula of one option fro 2 points Fill in the blank one option from 2 points but not vice versa

7 f x 3x 6x 1x 1 ax 3 x 1

A rectangular garden of area 208 square feet is to be surrounded on three sides by a brick wall costing 8 per foot and on one side by a fence costing 5 per foot That is two sides of equal length will consist of brick walls and the other two sides of equal length will consist of one brick wall and a fence Find the dimensions of the garden such that the cost of the materials is minimized To minimize costs the lengths of the sides consisting of a fence and a brick wall should be feet and the lengths of the perpendicular sides which are only made from brick walls should be feet

Find the maximum of Q xy if x y 70 The maximum value of Q is Q

S T V W U A B C D S T V W U S T V W S T V S T E O U F O W G S H OT I OU J OV K OW

Find the minimum value of f t 513 15t2 30 120 and give the value of t where this minimum occurs The minimum value occurs when t with a value of

find the value of x 56 50 n

6 f x Sax4 x 4 x 2 bx 5 x 2

1 point Give a 4 x 4 elementary matrix E which will carry out the row operation R 5R R E Test that E actually works for carrying out this row operation by computing the product EA for the matrix 4 4 5 A 1 5 5 5

The figure to the right shows two poles drawn with correct perspective relative to a single vanishing point As you can check the first pole is 1 5 units tall in the drawing and the second pole is 1 5 units away measured base to base with a height of 1 3 units Each tick represents 0 5 unit Complete parts a through c below C XX Q c In the actual scene would these four poles be equally spaced Explain OA Yes As evidenced by the drawing the poles would be equally spaced in an actual scene although the height of the poles will get smaller towards the vanishing point OB No The spacing between the poles would get larger just as the heights of the poles get smaller in the drawing the further they are away from the first OC No The spacing between the poles would get smaller just as the heights of the poles get smaller in the drawing the further they are away from the firs pole OD Yes As evidenced by the drawing the poles would be equally spaced in an actual scene just as the heights of the poles stay the same in the drawing

Let f x Then f x m b 2 sin x 6 cos x The equation of the tangent line to y f x at x can be written in the form y m 2 and

8 314 7 945 6 7042 5 68 4 14 Figure 2 3 For the scores shown in the accompanying stem and leaf display Figure 2 3 what is the highest score in the distribution 08 83 O 7042 94

For the distribution in the following table the percentile rank for X 25 is 82 X C 25 29 100 20 24 80 15 19 20 O True False

For the following distribution what is the highest possible score X f 20 25 2 15 19 5 10 14 4 5 9 O 25 05 O 26 O 20 1

K The figure to the right shows two poles drawn with correct perspective relative to a single vanishing point As you can check the first pole is 1 5 units tall in the drawing and the second pole is 1 5 units away measured base to base with a height of 1 3 units Each tick represents 0 5 unit Complete parts a through c below b Estimate the heights of the two new poles in the drawing The third pole is approximately units tall The fourth pole is approximately Round to the nearest tenth as needed units tall

G K V J H E F A O G KV J H E F B O KV J H E F C H E F D O KV J E H E F O K G E H OF I OG J OH K OJ

Solve the system of equations by graphing Sy ly y x 2 x 4

Some years ago it was estimated that the demand for steel approximately satisfied the equation p 160 20x and the total cost of producing x units of steel was C x 176 40x The quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars Determine the level of production and the corresponding price that maximize the profits The maximum profit occurs at x million tons

Find x and y 28 xq 13

Given the cost function C x 7x3 3x2 5x 3 find the minimum marginal cost The minimum marginal cost is Do not round until the final answer Then round to two decimal places as needed

The revenue for a manufacturer is R x thousand dollars where x is the number of units of goods produced and sold and R and R are the functions given in the graphs on the right a What is the revenue from producing 20 units of goods The revenue from producing 20 units of goods is approximately Type an integer or a decimal Ay 90 80 70 60 50 40 30 20 10 0 0 YER X 10 20 X 30 40 0 10 Ay 3 6 2 4 1 2 0 1 2 2 4 3 6 10 20 y R x X 30 40 G G

For the distribution in the following table what is the percentile rank for X 24 5 X 30 34 100 25 29 90 20 24 60 15 19 20 O 60 c O 40 O 75 90

If a set of scores covers a range of 80 points the grouped frequency table should use an interval width of 8 points False True

te sin 19 in terms of its cofunction 9 GILLE e an exact answer Simplify your answer Type any angle measures in degrees Do not include the degree symbc

The normal distribution is Oasymmetric skewed to the right Osymmetric h

Sketch an angle 0 in standard position such that 0 has the least possible positive measure and the point 1 0 is on the terminal side of 0 Then find the values of the trigonometric functions for the angle Rationalize denominators if applicable Do not use a calculator Choose the correct graph below OA Ay Q OB Select the correct choice below and if necessary fill in the answer box to complete your choice A sin 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression OB The function is undefined O C Ay

Use the appropriate reciprocal identity to find the value of cos 0 given that sec 0 5 Rationalize denominators when applicable Cos 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators

Which of the following does NOT apply to lipids O A help to maintain body temperature B provide a readily available energy source preferred by cells O C form essential structural components of cells inst shocks

Which of the following statements is false concerning the dideoxynucleotides ddNTPs used in Fred Sanger s dideoxy chain termination method of DNA sequencing O If a ddNTP is added to a growing DNA strand the chain cannot be extended any further The dideoxynucleotides are not able to be detected in gel electrophoresis Dideoxynucleotides ddNTPs are chain terminators Dideoxynucleotides ddNTPs are flourescently dyed

Match the term regarding DNA replication within bacteria with the correct description V DJ DNA pol I topoisomerase helicase primase DNA polymerase DNA pol III 1 2 3 4 5 6 Main enzyme that adds nucleotides in the 5 3 direction Opens the DNA helix by breaking hydrogen bonds between the nitrogenous bases Helps relieve the strain on DNA when unwinding by causing breaks and then resealing the DNA Removes RNA primer and replaces it with newly synthesized DNA Synthesizes RNA primers needed to start replication adds nucleotides one by one to the growing DNA chain

26 Let X n Z n x y for some x y O where O is the set of all odd integers Let E be the set of even integers a Prove that X CE b Prove that ECX

Which of the statements is incorrect 1 Patients with Duchenne muscular dystrophy usually die in their 60s II Sleep is not affected in patients with fibromyalgia III Cerebral palsy is caused by lesions on or damage to the brain O Only I Only II Only III OI II and III

How many significant figures are in the measurement 56 0 mL O a 1 O b 2 O c 3 O d 4

5 An advertising company makes foam displays for local businesses The diagram below shows a mold for one of these displays 14 ft Rounded to the nearest whole number what is the volume of one foam display in cubic feet 7 ft

What values of a and b would make the function differentiable at the given value of x 6 f x ax x 4 x 2 bx 5 x 2 r 1

3 Determine if the functions are differentiable at the given x value prove continuity first and then prove differentiability If needed f x co 2x x 10 x 5 50 14x x 5 5x 2x 1 x 3