A marketing specialist determines that when a certain product is released, the number of social media references to it can be modeled by f(t) = 500 + 4 log, (t) where t is the number of days since the release. Determine f'(t) f'(12) :

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A: This question can be solved using the concept of exponential growth and decay.

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A: Find your answer below

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A: ∫cos(7t)dtSubstitute u=7t→dudt=7→dt=17du

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Q: -1.5 (-0.7,02) -0.5 2+ 1.57 1 3 0.5 (0.7,0.2) -0.5- (-1.2,-1) -1.5- -2 are the critical values of f?…

A: Given query is to find critical points and interval where derivative is greater than zero and less…

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A: The given function,  f(x)=x3-3x2 on the interval 1,4

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A: We will find the roots.

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A: Solution

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A: From graph  f(-4)=5f(-1)=7   formula for average value

Q: 71 Compute Σ (5k2 + k - 3) i=1

A: Solved below

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A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: In the simple model of a national economy:

A: answer is in next step

Q: 8. Using any work found in Question 7, det 2 3x (x²-5)³ dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Area = integration of 1/2 (r2^2 - r1^2) d(theta)

Q: 1. Compute the solution to the following initial value problem y' + y = x, y(0) = 1 Using Picard…

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Q: Strontium-90 is a radioactive material that decays according to the function A(t) = Ao e -0.0244t,…

A: Given : a.   Decay rate = -0.0244= -0.0244×100%= -2.44 %

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Q: Question 5 Given that f f(x) dx = 3 and f f(x) dx = 4. A) S₂ f(x) dx = B) f²3f(x) dx C) f f(x) dx =…

A: topic - definite integral

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Q: مرده X dx (3x²-1)³

A: This question is based on definite integral.

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Q: 12)Use the Trapezoidal Rule to estimate the integral ₁√x² - 1 dx using 4 intervals. Round to the…

A: Solve the following

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