Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−2q+890​, what is the maximum profit that can be​ earned?   It would be ​$enter your response here   . ​(Round answer to nearest​ cent.)

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A: Let's find. 

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A: We have to find the improper integral

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A: On solving this we will get

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A: To find the area 

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A: Explained below 

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Q: m m n т +n b. E k i) k - i=0

A: Please see the below picture for detailed solution. 

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A: I am going to solve the given problem by using some simple calculus to get the required result of th...

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A: Area of the region bounded by the curve y=f(x) from x=a to x=b is given by, A= ∫abf(x)dx

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A: We know that power rule of integration is given as-  Integration of xn is xn+1/n+1.     Here i attac...

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A: We will find the value. 

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Q: What is the integrable form of sin-cos-sino de? 2 2

A: Integration

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A: To evaluate the integral ,use the following trigonometric formulas.

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Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=14q+550​, find the quantity when profit is ...

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Q: Question 2 If F(x) is an antiderivative of x2 +x, then what is the value of F(1) - F(-1)?

A: Here, given that  F(x)=∫(x2+x-1)dx=∫x2dx+∫1xdx=x33+ln |x|

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A: To evaluate the value of theta such that  F(theta)=0  And F(theta) is obtained by integrating the gi...

Q: of the following is an improper integral? • In3e COsx dx xe | in(x*+1) dx n(x++1)dr -4 x2-x- 2

A: Improper integrals are characterised as

Q: d -x" +x° + C. a The general antiderivative of (3x² – 4) 2x² can be written as -x" т п р What is the...

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Q: Question 5 of 6 Determine the speed along a parameterized path s(t) = (2t°, 2t2) at time t = 9 (assu...

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Q: The integral of (10*/ cos 10*)dx may be written as A In | sec B* + tan B* |+C.Where A, B, and C are ...

A: Topic = Integration

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Q: QUESTION 6 cos2x – sin2x cos2x For -dr= -F(x)+C What is F(x)? cosx – sinx 3 cscx – secx) 3 1 (sinx –...

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A: Solution is here

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: The integral of (10*/cos 10*)dx may be written as A In sec B* + tan B* | + C. Where A,„B, and C are ...

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Q: etermine the form that would make f sin () cos () sin(0) de

A: We have to determine the form of the given indefinite integral

Q: Question 16 In (ale) (2-sec2x)emlesec'x sec( 3A – x) What should be the value of A for dx to be inte...

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