Find the average rate of change of f(x) 82? 9 on the interval 3, b. - Your answer will be an expression involving b.

Q: The average value of gold per ounce over time is modeled by V(t) = 45t+ 279, where t = time in years…

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Q: The value, V, of a computer can be modeled by the function V (t) = 1, 300(.61)", where t is the…

A: The given model is: V(t)=1333(0.61)t Where, t is in years.

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: 5. Consider a random variable X with pdf fx(x)= a(u(x)-u(x-5))+2a8(x)+3a8(x-6). a. Evaluate the CDF…

A: In this question, we are analyzing the daily number of visitors treated by Yellowstone Park Medical…

Q: 9, etermine whether the equation y%D - x defines y as a function of x.

A: Yes, because for any input x, the equation yields only one output y.

Q: Find x if f(x)= 5103 f(x) = 7.3*. Your answer

A: We know 729 = 93

Q: Given S= -10T^2+4. Is S a function of T? Explain your choice using the definition of a function.

A: Given,    S= 10T² + 4   Yes, here S is function of T.  Thus, S = f(T) = 10T² + 4

Q: Evaluate f(x) = 8-X at x = 2. f(2) =

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Q: 1. 2y"" Hardcore 0 7y"+12y + 8y

A: To solve the given differential equation.2y'''-7y''+12y'+8y=0

Q: If y = f(x) is the solution of y" – 9y" +26y' – 24y = 0, f(0) = 4, f'(0) = 15, f" (0) = 44, then

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Q: The following limit represents the derivative of a functionf at a point a. 5 tan 6. V3 f '(a) = =…

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Q: Find f( - 2) if f(x) = 4x? – - x.

A: To find value of function at any point we have to put the given value of variable into the function.

Q: Plot the functions x, x2, exp(-x), exp(-x2) on a single graph for x between 0 and 5. Repeat the…

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Q: What is the function.  Is it 30 - (1/1000)x

A: We have to determine the function.

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: 5.1 Consider the multiple regression model y₁=xB₁+x₂ + xpB₂ +€₁ with the seven observations on y,…

A: The given data are as follows: yi xi1 xi2 xi3 1 1 0 1 1 1 1 -2 4 1 2 2 0 1 -2 1 1 1 1…