MHF 4U1 Page 4 5. The displacement of an object, in metres, is given by f(t) 5t'-4r +1-3, where t is time in seconds. (3) (a) Find the average rate of change of displacement with respect to time from t= 1s to t= 4s. (b) Determine the instantaneous rate of change of displacement with respect to time at t= 4s. (Use an h value of 0.01.)

Q: Suppose x and y are functions of third variable t. In the equation x+y=45, what are the values of…

A: The given equation is: x2+y2=45   .....(1) When x = 3, 32+y2=45y2=45-9y2=36y=±6

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Q: 1 What is the instantaneous rate of change of Y= at x = 2? - o-1 4 O none of these -1 -1

A:

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A: Given data is: B(t)=2.0+0.35 sin2πt3.7 (a) To find the rate of change of brightness at time t days.

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Q: 14. Consider y = 4x + 5. Determine the average rate of change of y with respect to x between x = 1…

A: Definition used-              The average rate of change =f(x2)-f(x1)x2-x1

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A: b) This is Rate of Change of Derative

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A: In this question we have to find the maximum rate of change.

Q: 1 What is the instantaneous rate of change of Y at x = 2? O -1 none of these -1 1 3 4

A: Given : y = 1/x

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A: Given function

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A:

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A: Given function, B(t)=3.1+0.25 sin 2πt5.3

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Q: = f(x)g(x) f(x) g(x)

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Q: Suppose x and y are functions of third variable t. In the equation x2+y2=45, what are the values of…

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Exponential Growth Model

The relation that represents an exponential function is: