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Q: What is the position at time t of a car that is accelerating at a rate of 5 meters per second square...

A: To determine the position of the car from the given data. (note that s =20 when t=2, not as given)

Q: Evaluate the following integral as written. Please refer to attached image.

A: It's aquestion of double integral. We will first evalaute the integral with respect to x, put the l...

Q: Find the average value of the function f(x) = e-4x on the interval [0, 1/2 ]

A: Given:The function is f(x) = e−4x .Definition used:The average value of a function f(x) on the inter...

Q: How can I get the result? Which is the result?

A: The given function is,

Q: Suppose that the cost funtion for a commodity is C(x)= 300+6x+1/20x^2 dollars (a) Find the marginal...

A: The given Cost function for a commodity is C(x) = 300 + 6x + (1/20)x2.(a) To find the marginal cost ...

Q: The number of miligrams x of a medication in the bloodstream t hours after a dose is taken can be mo...

A: we are given a function

Q: If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?...

A: we are given a differential equation as

Q: A stone is launched vertically upward from a cliff 160 ft above the ground at a speed of 48 ft/s. It...

A: We first find s\' using derivative. Answer(a): s\'= -32t+48

Q: How can I get the result? Which is the result?

A: we are given functions as