A certain family in Sitio Calculus opened a t-shirt business last year. The family started with 50 shirts using their PHP30,000 savings. If the marginal cost function is f(x) = x² - 2x +3, find the total cost in manufacturing 1,000 shirts.

Q: Evaluate the following integrals. -1 L₁ (3²- (3x² - 4x−¹+2) dx

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Q: df Use integration to find f(1) when f(3) = 1000 and = 4(x+1)(x² + 2x)³. d x -24,272 -26,341 25,980…

A: Integrate on both sides of the given differential equation and find f(x) .

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Q: If fx √1- x4 dx = ge ½ A B 0 C D) 1 H|2 H|4 g(e) de, then 9

A: We can solve the given integral by using substitution.

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A: Given problem:- Find the complete solution of dsdt = 5t4√s

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Q: 16. Find the area of the region bounded by the given curve: r = 9eº on the interval ≤0 ≤ 2m.

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Q: Calculate the integral approximation S12 for Si ²1 dx. +1 S12 =

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Q: A B D 0 Consider the integral f sin ¹x dx. If we let u = sin ¹x and dv = dx, the integral can be…

A: We have to above question

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A: To find out the compound interest.

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Q: a continuity of the function esinx (x,y) # (₂) X (X,Y)= (0,0) Discussion Sexiy) at the Point (0,0),…

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Q: Find the arclength of the curve x = - with 3 ≤ t ≤ 4.

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Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: The population of a town is decreasing at a rate proportional to its size.In 1980, the population…

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A: Given problem:-

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Q: Solve ²₂(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

A: ∫-22(x+1)(x2+2)2(x2-1) dx

Q: x3-4x-10 x²-x-6 dx.

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Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y=-2 about the…

A: We have to find the volume.

Q: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: T. (3x² - 4x¹ + 2)dx -1 -3

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Q: ds π Find a particular solution of =10csc² 2t determined by s= 2 when t = - dt

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Q: 1. A certain ellipse is centered at the origin from which the major axis is always equal to 25 and…

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Q: Find the exact solution for e^2x-6e^x-72=0  If there is no solution NA x=___

A: We have to find the exact solution for  e2x-6ex-72=0.

Q: 5. Find the limit, if it exists. If the limit does not exist, explain why. sin x- cos x (a) lim x/4…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 1. Consider the function f(x) = x6 - x³. a. Determine the absolute extremum using the First…

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Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

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Q: ←…

A: Given

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Q: 1. Consider the function f(x) = x6 - x³. a. Determine the absolute extremum using the First…

A: The given function, f(x)=x6-x3

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