#7. Find the average rate of change of the function between the give values of x. y = -5x – x2 between x = -6 and x = 8.

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on…

A: Average rate of change of f(x) on 3 ≤x ≤4 is f(4)-f(3)4-3

Q: For the function y = 4x2: (a) Find the average rate of change of y with respect to x over the…

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Q: The function y = f(x) is graphed below. What is the average rate of change of the function f (x) on…

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Q: 16. Find the average rate of change for y = x² –9x+20 from x=5 to x=7. А. З В. -3 С. 1/3 D. -1/3 E.…

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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…

A: In the question it is given that x and y are the function of the variable t in the equation…

Q: for #16

A: Average rate of change of a function f(x) over an interval [a, b] can be found using the formula…

Q: 2. Informally explain that a function is considered differentiable, if small changes dx, to the…

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Q: What is the rate of change for h(x) = 8x - 9 on the interval [1, 4]?

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Q: f(x)=x2+2 find average rate of change from -2 to 0 feom 1-3 and from -1 to 2

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Q: f(x) =x3+1x−2 fromx=−1 to x= 3 average rate of change

A: The given function is: fx=x3+1x-2 The interval is -1, 3

Q: 4.) The cost in pesos of producing x units of a certain commodity is C(x) = 0.05x? + 10x + 5000.…

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Q: What is the average rate of change of this function between x=2 to x=10 based of the graph of a…

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Q: 2) Find the average rate of change of the function f (x) = -3x-1 from x = a to x a + h.

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Q: 4. The path of a baseball relative to the ground can be modelled by the function dlt) = – f² + 8t +…

A: derivative

Q: 3 Find the average rate of change of g(x) = 3x' – 4 from x = - 1 to x = 3

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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…

A: This question is related to application of derivatives.

Q: What is the average rate of change of f(x) = f(x) = – 7 from z = 2 to a = 10? 1/2

A: To find the average rate of change of f(x) from x=2 to x=10.

Q: 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² -5…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: S(2) = 32+-4 ant line to f(2) (ak.a, the average rate of change of ) from input val

A: Please refer to the image below

Q: 5. Calculate the average rate of change for the function ft) = 2x'+5 over the interva -1 < x < 2.

A: We have to find average rate of change

Q: Suppose y varies at a constant rate of change of 4 with respect to x (so that Δy=4⋅Δx ), and when…

A: topic - linear equation in two variables

Q: 5 for the function: Calculate the average rate of change between a = 9 and x = 6 f(z) = 1+ 5"

A: Given : The function is : f(x)=1+65x We have to calculate the average rate of change between x=9…

Q: 14. Find the rate of change of y= (2x' +6x +4) at x =-1.

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Q: Find the average rate of change of the function between the given values of x. y = −5x − x2 between…

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Q: y 2 X 1 (a) Determine the net change between the indicated points on the graph. (b) Determine the…

A: Topic:- function

Q: For the function y = 4x2: (a) Find the average rate of change of y with respect to a over the…

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Q: Suppose y = f(x) is a curve that always lies above the x-axis and never has a horizontal tangent,…

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Q: If the average rate of change of a function between x = a and x = b is negative, then is the…

A: The rate of change of function between two points of a curve represents the slope of the curve.   If…

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

A: First we will differentiate the given equation with respect to t using the chain rule of…

Q: (4) The temperature at a point (x, y) is given by T(x, y) = xy + x². (a) (2, –1)? What is the rate…

A: (1) The rate of change in temperature can be determined by finding the gradient,…

Q: Find the average rate of change of the function over the given interval. y=3x+ 1%3; between x= 1 and…

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Q: Find x0 given that the rate of change of y =2x2+x-1 with respect to x at x=x0 is 4

A: giveny =2x2+x-1 rate of change=4rate of change=dydxdydx=4x+1

Q: 8. Use the difference quotient to find the approximate instantaneous rate of change for the function…

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Q: 16. Find the average rate of change for y = x² –9x+20 from x=5 to x=7. А. 3 В. -3 С. 1/3 D. -1/3 E.…

A: Given function

Q: The line with the rule y = 3x + 4 intersects the curve with equation ¦(x) = x2 at the points (-1, 1)…

A: Given:- The line with the rule y = 3x + 4 intersects the curve with equation f(x) = x2 at the points…

Q: a) Determine the AVERAGE rate of change of y over each interval −5 ≤ x ≤ 9 −1 ≤ x ≤ 5 −3 ≤ x ≤ 7…

A: a)−5 ≤ x ≤ 9At x=-5, y=48  and x=9, y=41 AVERAGE rate of change of y=41-489--5=-714=-12−1 ≤ x ≤ 5At…

Q: For the function y = x2 , compute the average rate of change between x = 0 and x = 3.

A: Given : The function is y = x2 and x = 0 and x = 3 .

Q: 6. Train E travels west toward Chicago station at 120 miles per hour while a second train N travels…

A: Train E =120 miles per hour  Train N=90 miles per hour

Q: What is the rate of change of y with respect to x for 9x-11y+2=0

A: Given that 9x-11y+2=0 We need to find the rate of change of y with respect to x that is dy/dx.

Q: 9. Suppose an object is moving along a path described by; f(t) = t - 6t, where f (t) is measured in…

A: The objects velocity at t is equal to 4 will be the objects instantaneous rate of change at that…

Q: Suppose a and y are related by a constant rate of change Ay and = 2, and y 4 when x = 3. Ax

A: Suppose x and y are related to the constant rate of change and ∆y∆x=2and y = 4 when x= 3

Q: Suppose that f(x) = 5x² – 4. (A) Find the slope of the line tangent to f(x) at x = 5. (B Find the…

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Q: -4 to x = 1 Find the average rate of change of g(x) = 3x° - 1 from z =

A: Average is (g(1) -g(-4)) /5

Q: For the given curve y = 5x – 2x', when x increases at the rate of 2 units / sec, then how fast is…

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Q: Let ​h(x)=x^2−8x.   ​(a) Find the average rate of change from 4 to 7. ​(b) Find an equation of the…

A: Average rate change and secan line problem....

Q: What is the instantaneous rate of change at x = 2 of the function f given by 2x f(x) O O 4 -2 H N -…

A: What is instantaneous rate of change at x=2 of the function f given by   f(x)= 2x/x-1

Q: How would I solve for the left endpoint and the right endpoint? Find the average rate of change of…

A: Given :f(t) = 4t2 − 3,      [3, 3.1] formula for average rate of change :

Q: Find the average rate of change of the function from x = 1 to x = 7. f(x) = 10x + x Additional…

A: Given that  f(x)=10x^2+x  x from 1 to 7  To find the average rate of change of function