Solve y' + y = f (t) with y(0) = a, where f (t) is shown on pg 577, #37 (sawtooth wave)

Q: If f(x): ƒ'(x) = f'(5)= = 7x² + 2x + 5 √x " then:

A: Given: It is given that the function is fx=7x2+2x+5x. To find: The main aim is to find the…

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Q: y a-2x- 15

A: Given function y=x2-2x-15

Q: Given the piecewise defined function: x - 5 if a 2 f(x) = 1) Draw the graph of f. Note: Be sure to…

A: Given function is f(x) = x-5if  x≤2-x-2if  x>2

Q: 3. Determine the absolute extreme values for the function Y=3sinx + 4cosx on the interval [0,27]

A: y = 3sin x + 4cos x ,on the interval [0, 2pi]

Q: Each graph represents f"(x) (not the original function) 6. Find the x-coordinates of all inflection…

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Q: escribe how you can use information about f' and f" to help you sketch a graph of

A: We have to differentiate the function w.r.t. x to calculate it's derivative.

Q: sketch to graph the function f(x) = In(x + 2) – 1. %3D

A: f(x)=ln(x+2)-1Now, putting value of x=-1f(-1) =ln(-1+2)-1           [ln1=0]           =0-1…

Q: (a) Show that the function f(x) = x² 2 n! n = 0 is a solution of the differential equation f'(x) =…

A: The Solution is given below

Q: Use the graph of the function f to find approximations of the given values. y 80 40 (a) f(1) (b)…

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Q: Which one of the following functions is decreasing ?(0, 2) on the interval :Select one

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Q: Find the average rate of change of the function f(x) Average rate of change = Give exact answer! =…

A: Given,            The function is fx=2x2-3x+1, on the interval x ∈ 0,1.To find : Find the average…

Q: 5. Find the relative extrema and points of inflection for f(x) = 5xe*. Show all steps.

A: To find out the relative extrema and points of inflection for the given function.

Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: Considering the following graph of the given function f. y The xy-coordinate plane is given. The…

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Q: As the growing season resses, the food supply available to an ant colony is given by F= 140 - 3…

A: Given Food supply function F=140+3t Food requirement function R=2201+2e-0.2 t Where F and R are in…

Q: Differentiate the function. 2. 8x-1 y = 3 7x +9

A: We can differentiate the function as below

Q: 1 30. Given f(x) ==x³ + 2x [0,3]. Using the Mean Value The interval [a, b] for which the line…

A: The mean value theorem states that if we have a function f which is continuous in the interval [a,b]…

Q: (continue of 7). From Excel, we find SSR-302.6, SSE=3.27. Find the F-value. 3.69 1.39 2.77 2.41

A: Using Excel a) Excel Steps for obtaining the estimates of regression coefficients 1) Go to "DATA".…