Question 2:

1. Set up a frequency distribution table and calculate the relative frequency for the following quiz scores that Matt achieved in his Algebra course:
2. Matt’s Quiz Scores: 87, 88, 92, 79, 100, 76, 61, 60, 79, 99, 100, 69, 98, 87, 92, 79, 81, 85, 100, and 100.
3. Use the following frequency intervals:
4. 60 – 69
5. 70 – 79
6. 80 – 89
7. 90 – 100
8. Calculate the variance and standard deviation for Matt’s quiz scores. Suggestion: set the problem up in steps within a table like the textbook illustrates.

 

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Find the margin of error for each sample. Round each margin of error to the nearest whole percent. Then find an interval that is likely to contain the true population proportion.18% of 350 students (3 points)±5%; 13% to 23%±5%; 23% to 33%±13%; 33% to 43%±5%; 33% to 43%

 

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## f(5)=1/10## is a local max.## f(-5)=-1/10## is a local min.

##f(x)={x}/{x^2+25}##

By ,

##f'(x)={1 cdot(x^2+25)-x cdot 2x}/{(x^2+25)^2}={25-x^2}/{(x^2+25)^2}=0##

##=> x= pm5″ “## (Critical Numbers)

First Derivative Test

##{(f’:(-) to (+)” at “x=-5 => f(-5)=-1/10″ is a local min.”),(f’:(+) to (-)” at “x=5 => f(5)=1/10″ is a local max.”):}##

Second Derivative Test

By Quotient Rule,

##f”(x)={ -2x(x^2+25)^2-(25-x^2)cdot2(x^2+25)(2x)}/{(x^2+25)^4}={2x(x^2-75)}/(x^2+25)^3##

##{(f”(-5)>0 => f(-5)=-1/10″ is a local min.”),(f”(5)<0 => f(5)=1/10″ is a local max.”):}##

I hope that this was helpful.

 

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1.find the inverse of f(x)=4x2 for x >/ 0.

The inverse function is f-1(x)=

2.The monthly profit from producing and selling x units of a product is given by the formula below.

p(x)= – 0.2×2 + 500x – 200,000

producing and selling how many units will result in a profit for this product?

use an interval to describe how many units can be produced and sold to produce a profit.

3.The total revenue function for a certain product is given by R=560x dollars, and the total cost function for this product is C= 20,000 + 40x + x2 dollars, where x is the number of units of the product that are produced and sold.

a. find the profit function.

b.find the number of units that gives maximum profit.

c. Find the maximum possible profit.

a. P(x) =

b. Th number of units that gives maximum profit is x =

c.The maximum possible profit is $

4.if f(x) = x2 – 4x and g(x) = 9 – x3 , evaluate the fallowing.

a.(f+g)(1) =

b.(g – f) (3) =

c.(f * g)(-1)=

d.(g/f) (-3) =

 

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Find the net torque on the wheel in the figure below about the axle through O perpendicular to the page, taking a = 15.0 cm and b = 29.0 cm. (Indicate the direction with the sign of your answer. Assume that the positive direction is counterclockwise.) Answer= __________N m

 

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