1 Given f(x) find the average rate of change of f(x) on the interval [9, 9 + h]. Your answer x + 10 will be an expression involving h.

Q: Find the domain of the function F(x)= 11/x-15

A: Given query is to find the domain of the function.

Q: Find f-1 if f (z) = iz + 1.

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Q: The function f is given by f (x) = (1+x)=. How do the values of f behave for small positive and…

A: Here we define  f  for small or large positive value of x.

Q: A ball is thrown upward of a 100 meter cliff with an intial velocity of 6 m/s. The function f(x) =…

A: Given: - A ball is thrown upward of a 100 meter cliff with an initial velocity of 6 m/s. The…

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: A mountain climber uses the model T = 20 – 10h | to estimate the temperature T (in °C) at elevation…

A: T=20-10h a). When h=0, T=20-100=20 When h=1, T=20-101=10 When h=2, T=20-102=0 When h=3, T=20-103=-10…

Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: The function f(x)= x 1/2 is transformed to get function w. w(x) = -(3x)1/2 - 4 What are the domain…

A: Given wx=-3x12-4 To find the domain and range of wx

Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

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

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Q: f(x) = is the range in which the function is decreasing.

A: fx=exx Differentiating with respect to x, we get f'x=dexdx·x-dxdx·exx2…

Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

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: 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: A study by the National Highway Traffic Safety Administration found that driver fatality rates were…

A: Given function is: ƒ(x) = k(x - 49)6 + 0.8 ; where k = 3.8(10)-9 Differentiating f(x) with respect…

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: Evaluate the triple iterated integral. π/2 T 3 [™¹²/² √²³0-²³², ² 3 10 10 10 p² dp de do dp de

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