A rock is launched vertically upward from theground with a speed of 64 ft/s. The height of the rock (in ft)above the ground after t seconds is given by the functions(t) = -16t2 + 64t. Find its average velocity during its flight.

Q: The position of an object moving along a line is given by the function s(t)=-9t^2+27t Find the…

A: s(t)=-9t2 + 27tHence, s(1 + h) = - 9  x (1 + h)2 + 27 x (1 + h) = - 9h2 - 18h – 9 + 27 + 27h = - 9h2…

Q: Given the function h(x) = –x² – 6x + 17, determine the average rate of change of the function over…

A:

Q: please help with question (answer is not 26 ive already tried it)

A: Given,

Q: If a ball is thrown into the air with a velocity of 34 ft/s, its height (in feet) after t seconds is…

A:

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

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Q: Find the average rate of change of f(x)=--2x 2+4…

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Q: According to the Florida Agency for Workforce, the monthly average number of unemployment claims in…

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Q: Find the average rate of change of f(x)=5x^2-3 on the interval [2,t]. Answer with an expression…

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Q: Find the average rate of change of f(x)= 3x^2-2x+6 from x1=4 to x2=7

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Q: Given f(x) = V2x – 3, find the average rate of change on the interval2, . %3D

A:

Q: The volume V, in liters, of air in the lungs during a five-second respiratory cycle is approximated…

A:

Q: According to the Florida Agency for Workforce, the monthly average number of unemployment claims in…

A: This question is based on application of Derivative.

Q: What is the average rate of 5. If f (t) = -3t + 7t, describes the movement of a whale in meters.…

A:

Q: Given the function h(x) = x² + 2x – 2, determine the average rate of change of the function over the…

A: Now, we are given the function : h(x)=x2+2x-2 Average rate of change of a given function f(x) over a…

Q: find the average rate of change of f(x)=2x^2+2 between the points (2,10) and (5,52).

A:

Q: According to the Florida Agency for Workforce, the monthly average number of unemployment claims in…

A:

Q: The height s (in feet) of a free-falling object at time t (in seconds) is given by 8= -16t + 180…

A:

Q: Given the function h(x) = x² + 6x + 5, determine the average rate of change of the function over the…

A: The average rate of change of the function f(x) is given by the formula f(b)-f(a)b-a. Here, the…

Q: If a balloon is thrown directly upward with a velocity of 96ft/s, its height (in feet) after t…

A: Height of balloon after t seconds is…

Q: A rock is thrown vertically upward with a velocity of 256 ft/s, so its position function can be…

A: A rock is thrown vertically upward with a velocity of 256 ft/s, Its position function can be modeled…

Q: Given the function h(x) = x² – 8x+8, determine the average rate of change of the function over the…

A:

Q: Given the function h(x) = x² – 7x + 6, determine the average rate of change of the function over the…

A: The rate of change of a function is given by it's derivative.

Q: The height of an arch above the ground is given by the function y=10sinx, for 0 less than or equal…

A:

Q: The height in meters of a diver above the pooľ's surface is given by h(t) = -5t² + 7t + 10, where t…

A: Given that the height of a diver above the pool's surface is  ht=-5t2+7t+10 a) It is required to…

Q: What is the average rate of change for the function f(x)=x3−6x2+4x+7f over the interval 0≤x≤5?

A: We have to find

Q: for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

A: For the function fx=3x2, to find the average rate of change of the function over the interval [0,2].…

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

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Q: Given f(x) + 4x + 2, find the average rate of change on the interval [1, 3].

A:

Q: Find the average rate of change of the function f(r) = - r+ 5x + 2, from x = 2 to x = 5. Average…

A: Given that: f(x)=-x2+5x+2

Q: Given the function g(x) = x² - 4x + 0, determine the average rate of change of the function over the…

A: GIVEN DATA : Function gx=x2-4x+0  TO FIND : Average value of gx on the interval 1≤x≤7 In order to…

Q: Given the function g(x) = -x² + 4x + 9, determine the average rate of change of the function over…

A: See the details solution in the details

Q: Find the average rate of change for the function between the given values. 18) f(x) = 4x2; from 0 to

A: The average rate of change of a function f(x) on the interval [a, b] is fb-fab-a. The given function…

Q: If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height…

A: Given:         h=15t-1.86t2    Height of rock h(t)=25m        15t-1.86t2=25   rewrite in the form of…

Q: Given the function f(x) = -x² – 7x + 19, determine the average rate of change of the function over…

A: Given function is: fx=-x2-7x+19 And the given interval is: -9≤x≤3 At x=-9:…

Q: Find the average rate of change of f(x)=4x^2-2 from 2 to 4 

A: For the function f(x) the rate of change in a closed interval a to b is given (f(b)-f(a))/b-a Here,…

Q: Given the function f(x) = -x²+ 3x + 8, determine the average rate of change of the function over the…

A:

Q: Find the average rate of change of g(a) = 5x* + %3D on the interval [-3,4] 23

A: The average rate of change of function y = f(x) in the interval [a ,b] is given by,…

Q: The elevation of a path is given by f(x) = x^3 - 5x^2 + 30, measured in feet, where x measures…

A: The elevation as a function of path is given below.

Q: Consider the acceleration function of an object on a projectile motion is a (t) =-32. If v (0) = 32…

A:

Q: Find the average rate of change of f(x) = 7x² – 4 on the interval [3, b]. Your answer will be an…

A:

Q: If a ball is thrown into the air with a velocity of 42 ft/s, its height (in feet) after t seconds is…

A: Given, The height of the ball is given by : y = 42t -16t2 ;  Where y is in feet and t is in seconds…

Q: Given the function f(x) = -x² – 7x + 15, determine the average rate of change of the function over…

A: Given, fx=-x2-7x+15 over the interval -9≤x≤3 To find the average rate of change.

Q: For the function y = 5x3- 4x a. Determine the average rate of change between x1 = 3 and x2 = 5.  b.…

A: given function y=fx=5x3-4x

Q: Find the average rate of change of f from 3 to 8. f(x)=-2x^2+4x

A: Given function is

Q: Find the average rate of change of g(x) = 7x* + 6. on the interval [-3, 3].

A: This question can be solved by calculating the value of function at x=-3 and x=3

Q: A tennis ball bounces up from a racket, the height of of the ball is h(t) = 45t - 9.8t meters above…

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Q: The displacement, 8 in feet, of a particle moving in a straight line is given by 8 = 5t2 6t + 14,…

A:

Q: Find a general expression for the velocity of the rock at any time t. s(t)=64-16t2,

A: Given,The displacement vector of a rock, S(t) = 64 – 16t2We need to find the general expression of…

Q: Given the function g(x) = -x2 – 3x +5, determine the average rate of change of the function over the…

A:

Q: If a ball is thrown into the air with a velocity of 40ft/s, its height (in feet) after t seconds is…

A: Consider the given question,The distance(y) equation is given as,