Given revenue and cost functions R(q)=80q−0.2q2 and C(q)=15q+500​, find the quantity that maximizes revenue.

Q: Question 4 The slope of the tangent line at any point (x, y) on a curve is 2. If the point (9, 3) is...

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Q: Question 8 d'y =6-9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation o...

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Q: Which of the following integrals is equal to the integralf(3x- 5) dr? 7/3 (A f(2) dz dz 7/3 s(2) dz ...

A: In this question we have to find the Integral which is equal to the given Integral.

Q: 10* dx may be written as Aln secB+ tanB*+ C. where A, B, and C are constants cos10 not equal to zero...

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Q: - 1) ? du

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Q: Solve the initial value problems. 2. 2y" – 9y' + 9y = e3* y(0) = 0, y'(0) = - 8

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Q: Question 12 If F(x) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? O-1 3

A: If Fx is an antiderivative of x-2+x-1, then to determine the value of F1-F-1.    

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Q: Question 18 What is the integrable form of sin sind de? COS- 2. A I du B) sinu du cosu du

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Q: Joey plánted a tree in his yard. At the time of planting the tree was three years old and measured 0...

A: Given data:

Q: What is the integrable form of sin e) de? sin (A du 2 cos(u)du (©) -2 © -2/sin(u) du D) | - u² du

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Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

A: To evaluate the given limit using the tabular method. limx→091+x-91-x31+x-31-x

Q: cosx - e Sinx te sinx +x nsinx The integral -dx may be written as me' +px + qe"* + C, where m, n, p,...

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Q: CURRENT OBJECTIVE Find a higher-order derivative of a sine or cosine function Question d36 Find (-7 ...

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Q: 10* -dx may be written as AlnlsecR* tanB*+ C, where A, B, and C are constants not equal to zero. Eva...

A: Solution:

Q: 10. a d The general antiderivative of (3x2 – 4) 2x2 can be written as -x" -x" + x" + C. What is the ...

A: On solving this we will get

Q: 3 dx Evaluate the J 2+81 improper integral:

A: We need to integrate∫-∞∞3x2+81dxWe know that ∫1x2+a2dx=1atan-1xa+C ---{1}

Q: The antiderivative of fx0, denoted by Fix), exhibits an odd symmetry ie., it satisfies the property ...

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Q: 10* -dx may be written as Aln secB*+ tanB*| +C• where A, B, and C are constants not equal to zero. E...

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Q: cos2x – sin2x cos2x For What is F(x)? - dx=÷F( 3 + C• cosx – sinx O (cscx – secx) 3 2 sinx - -cos'x ...

A: Solved below

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. O 21/2 square ...

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Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive...

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Q: Given cost and price​ (demand) functions C(q)=110q+43,000 and p(q)=−1.9q+880​, what price maximizes​...

A: Please see the below picture for detailed solution. 

Q: cos2x – sin2x cos2x dx3D -C. What is F(x)? For cosx – sinx

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Q: Find the area of the region bounded by the curve y= 1--x² and the x-axis.

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Q: Given cost function C(q)=q3−135q2+26000q​, what is the minimum average​ cost?   It would be ​$enter ...

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Q: Question 20 Which of the following is an improper integral? In3e A xe CoSx dr -2 In(x++1) dx В -1 -4...

A: We have to find the improper integral

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square ...

A: Given problem is :

Q: x2 and the x-axis. Find the area of the region bounded by the curve y=1-

A: SOLUTION-

Q: vas y dS

A: Use simple integration formula.

Q: Question 8 The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies...

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Q: Which of the following is an improper integral? -4 x² – x – 2 In3e COSX dx xe -2 In(x++ 1) dx -1 dx ...

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Q: cos2x – sin2x cos2x - dr = -F(x)+C. What is Fx)? 19. For cosx – sinx 3 A. (cscr - secr)3 2 2 sinx - ...

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Q: cos-sin0 d0 has the form –-F(0). 2 2 The resulting integral of sin- +C. What should be the value of ...

A:      ∫sinθ2cosθ2sinθdθ=∫12sinθ sinθdθ=∫12sin2θdθ=12·∫1-cos2θ2dθ=12·12·∫ 1-cos2θdθ=12·12∫ 1dθ-∫cos2θd...

Q: What is the integrable form of sin() du

A: The given integral is: I=∫sinθ2cosθ2sin(θ) dθ=12∫2sinθ2cosθ2sin(θ) dθ=12∫sin(θ)sin(θ) dθ=12∫1-cos2θs...

Q: Which of the following is an improper integral? In3e A cOSx dx xe (B n(x++1) dx dx 2x + 8 D dx x² - ...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the c...

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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: x2-4x+1 2. Evaluate lim X-1 x-1

A: The given question has been solved in detail.

Q: 10 dx may be written as Aln secB*+tanB*|+C• where A, B, and C are constants not equal to zero. Evalu...

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Q: d?y (2) dx2 2dy + 4y = 0 No boundary conditions

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Q: Given a production company is planning to increase its production. It is governed by an model equati...

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Q: In (ale) (2– sec²x)«m#/c°sec³x sec(3A – x) What should be the value of A for dx to be integrable usi...

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Q: dx - = In[F(x)]+C• What is F(/3) if C = 0? For (x+x³) (x Tan-!x+1) +- 3 3 + 6. -is -is

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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: cos2r – sin2x cos2x F(x) +C• What is Fx)? For dx= 3 cosx - sinx

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: What is the integrable form of sin-cos-sine de? 2 2 (A) - - B -2 sinu du (D cosu du

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