The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current population is 8,760, what will be its population after five (5) years?

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A: Given problem:- Verify Property 2 of the definition of a probability density function over the given…

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A: answer is in next step

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A: Here we have to choose the correct option.

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A: Given: The doubling period of a bacterial population is 10 minutes. At time t =80 minutes, the…

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A: Solve the following

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A: Here we have to find the values of a function.

Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A:

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: Recall:., To find Average,  Ave=1b-a∫abS(t)dt We have, S(t)=600 et, a=1, b=5

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Q: Q6) Find the Area bounded by the curves y = √√√x and x = 2y - y² ,with sketch.

A: Let's find area between two given curves.

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Q: 2. If ū=-27 +57-3k, then || is

A: We will find the value of u→ in the following step.

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Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

A: Given

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Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

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Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

A: Our Aim is to find the limit of the expression given below:-limx→∞x+2x26x-1-(i)

Q: 8. Find the length of the curve r(t) = from t = 1 tot = 5. 9. Find the curvature of the curve r(t)…

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A: We have to choose the correct option from the given options according to the given information

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A: According to our company's guidelines I can only answer first question since you have asked multiple…

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Q: 2. In π 2 π ln - 4 e* cos(ex) dx

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A: Given

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

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Q: Find the volume of the solid obtained by rotating the region B about the line y = -2. A B

A: Given problem:- f(x) = 4 - x2 , y = 4,x = 2  Given graph :-     To find:- Find the volume of the…

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A: We have to determine the integral

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A: We have to above integration

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A:

Q: given the following equation: 36y^2-4x^2=144.  a) determine if the function is an ellipses or a…

A: This question can be solved using the concept of conic section.

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A: answer is in next step.

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Q: Factor. 7c²-7t² 7c²-7²2² = (Factor completely.)

A: Given expression 7c2 - 7t2