A quadratic function is given. f(x) = −x2 − 3x + 3 Mathematics Assignment Help

A quadratic function is given. f(x) = −x2 − 3x + 3 Mathematics Assignment Help. A quadratic function is given. f(x) = −x2 − 3x + 3 Mathematics Assignment Help.


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A quadratic function is given.

f(x) = −x2 − 3x + 3

(a) Express the quadratic function in standard form.

f(x) =

(c) Find its maximum or minimum value. 

f(x) = 

A quadratic function is given. f(x) = −x2 − 3x + 3 Mathematics Assignment Help[supanova_question]

The effectiveness of a television commercial depends on how many times a viewer Mathematics Assignment Help

The effectiveness of a television commercial depends on how many times a viewer watches it. After some experiments an advertising agency found that if the effectiveness E is measured on a scale of 0 to 10, then

E(n) = 

2
3

n − 

1
69

n2

where n is the number of times a viewer watches a given commercial. For a commercial to have maximum effectiveness, how many times should a viewer watch it?

 times

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A soft-drink vendor at a popular beach analyzes his sales records and finds that Mathematics Assignment Help

A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans of soda pop in one day, his profit (in dollars) is given by

P(x) = 0.001x2 + 3x − 1800.

What is his maximum profit per day?
$  

How many cans must he sell for maximum profit?

 cans

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A manufacturer finds that the revenue generated by selling x units of a certain Mathematics Assignment Help

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 80x − 0.2x2, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum?

$  , at  units

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If a ball is thrown directly upward with a velocity of 32 ft/s, its height (in f Mathematics Assignment Help

If a ball is thrown directly upward with a velocity of 32 ft/s, its height (in feet) after t seconds is given by y = 32t − 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)

 ft

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Carol has 2,000 ft of fencing to fence in a rectangular horse corral. x 1000 – Mathematics Assignment Help

Carol has 2,000 ft of fencing to fence in a rectangular horse corral.

x 1000 – x
(a) Find a function that models the area A of the corral in terms of the width x of the corral. 

A(x) =

(b) Find the dimensions of the rectangle that maximize the area of the corral. 

width      ft
length      ft

Carol has 2,000 ft of fencing to fence in a rectangular horse corral. x 1000 – Mathematics Assignment Help[supanova_question]

A quadratic function is given. please help Mathematics Assignment Help

A quadratic function is given.

f(x) = −x2 − 3x + 3

(a) Express the quadratic function in standard form.

f(x)

(c) Find its maximum or minimum value. 

f(x) =

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Homework Question Help (Finance) Business Finance Assignment Help

A bond with an annual coupon of $100 originally sold at par
for $1000. The current yield on the maturity on this bond is 9%. Assuming no
change in risk, this bond would sell at a ______ in order to compensate
_________?

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A rain gutter is formed by bending up the sides of a 44-inch-wide rectangular me Mathematics Assignment Help

A rain gutter is formed by bending up the sides of a 44-inch-wide rectangular metal sheet as shown in the figure.

(a) Find a function that models the cross-sectional area of the gutter in terms of x.

A(x) = 

(b) Find the value of x that maximizes the cross-sectional area of the gutter.

x =  in

(c) What is the maximum cross-sectional area for the gutter?

 in2

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When a certain drug is taken orally, the concentration of the drug in the patien Mathematics Assignment Help

When a certain drug is taken orally, the concentration of the drug in the patient’s bloodstream after t minutes is given by 

C(t) = 0.06t − 0.0002t2,

 where 0 ≤ t ≤ 240 and the concentration is measured in mg/L.

When is the maximum serum concentration reached?
t =  min

What is the maximum concentration?

 mg/L

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A quadratic function is given. f(x) = −x2 − 3x + 3 Mathematics Assignment Help

A quadratic function is given. f(x) = −x2 − 3x + 3 Mathematics Assignment Help

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