Use the function of a function rule to determine the rate of change of volume a being filled by water. You should use the following data for your answer:- Radius of water changes at 0.6 cms -1 Radius of sphere = 6 cm. %3D

Q: A balloon is inflating at a constant rate of 9 cubic centimeters per second. When the volume of the…

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Q: consider the equation f(x) = 2x2 - x find the average rate of change between x=3 and x=6

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Q: As the water drains from a bathtub, the volume, V, in litres, of water remaining in the bathtub…

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Q: Refer to the following figure, which displays a right circular cone along with the formulas for the…

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Q: The area of a rectangle with one of its sides s is A(s) = 10s". What is the rate of change of the…

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Q: Find the average rate of change of the function ?(?) = 4?^3 on [1,6]

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Q: Choose whether the following statement is true or false. The approximation of an instantaneous rate…

A: The given statement is:  The approximation of an instantaneous rate of change can be obtained by…

Q: Find the average rate of change of g(a) = 4x° + 3 from a = 2 to x = 2

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Q: Find the average rate of change of h(t) = t3 + 2t² – t – 1 for the domain [0,5].

A: Given the function which lies on given domainh(t)=t3+2t2−t−1

Q: Which of the following expressions can be used to determine an average rate of change for the…

A: Formula to determine an average rate of change for the function y=f(x) is as follows

Q: Find the average rate of change of the function f (x)

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Q: Given the function g(x) = -x² + 6x + 15, determine the average rate of change of the function over…

A: The average of a function over an interval is given by . The given function is and the interval…

Q: What is the rate of change of y with respect to rfor this function?

A: Given,           The table represents some points on the graph of a linear function.

Q: uppose ƒ (x) = mx + b and g (x) = mx2 + b. Find the average rate of change of each function on the…

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Q: Find the average rate of change for the function between the given points. f(x) = 4.x? + x; x = 0, x…

A: Average rate of change of a function is change in f(x) devided by chenge in x.

Q: Determine the average rate of change of the following function between the given values of the…

A: We can find the average rate of change as below

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

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Q: Consider the graph of f (x). What is the average rate of change of f (x) from x1 = 3 to x2 = 6?…

A: Find average rate of change for x1=3 and x2= 6.  And f(3) = 15 and f(6) = 9

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: Given: fx=x3,  x=5 inches

Q: Find the average rate of change of g(x) - 5a + 4 from z = - 3 to a = 3. %3D Question Help: D Video…

A: From the Average rate of a function

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: Use the graph at right to answer the following questions. (Hint: rate of change slope). %3D…

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Q: The typical velocity (in centimeters per second) of a marine organism of length l (in cen- timeters)…

A: Given that: The typical velocity (in centimeters per second) of a marine organism of length l (in…

Q: . What effect does a vertical stretch or compression have on the y values of a function? What effect…

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Q: A cell phone manufacturer wishes to make a rectangular phone with fixed total surface area of 12,…

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Q: Find the relative rate of change of f(x) at the indicated value of x. f(x)=39; x=100

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Q: Find the average rate of change of g(z) = 4x + on the interval [-2, 1]. Question Help: O Video…

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Q: a. What is the slope of the constant function y = k?b. What is the rate of change of a constant…

A: If function is given as y=fx Then the slope of the function is given as the first derivative of the…

Q: If f(x) = 2x2 - 3x, find the average rate of change %3D ,f (x)) and (x +h,ƒ (x+ h)).

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Q: hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t…

A: In this question, the concept of the average rate of change is applied. The average rate of change…

Q: Given the function defined in the table below, find the average rate of change, in simplest form, of…

A: Given table x F(x) 2 3 3 6 4 12 5 24 6 48 7 96   we find average rate of change of…

Q: The slope of the secant line to f between points a and b is the same thing as the average rate of…

A: Slope of secant line is not equal to the average rate of change. Because, average  rate of change is…

Q: Find the average rate of change of g(x) = læ° – 5 from x = - 1 to x = 3 Check Answer

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Q: The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is…

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Q: 1 answereC

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Q: Use Definition 1 or 2 to find the instantaneous rate of change of the function at the given value.…

A: The instantaneous rate of the function N(x)=1x, x=8

Q: rate of change

A: It is given that an increase of 3 units change in t corresponds to 4 unit change in d. We have to…

Q: Use the graph of the function to find its average rate of change from x=-4 to x=2. Simplify your…

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Q: Find the average rate of change for f(x)=x+1f(x)=x+1 over the interval [4,5][4,5]. Be sure to…

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Q: The average change of the function y = √x from x = 4 to x =16 is _________________ ?

A: The given function y=sqrt(x). We need to find the average change of function over interval [4,16].

Q: Determine the percentage rate of change of f(x) = O f(15) 0.9x at x = 15 and x = 30. %3D %3D f(30)

A: Introduction: - The rate of change function represents the rate at which one quantity changes in…

Q: Consider the function.   What is the approximate average rate of change of the function from…

A: Average rate of change is ratio of difference of output and difference of input.

Q: Find the average rate of change of g(x) = - læ – 5 from x - 3 to r = 4 %3D

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

A: Given function is

Q: Consider a cylinder with a radius of 1cm and a height of 3cm. Find the change in the volume of the…

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Q: Find the average rate of change of g(x) – læ³ – 3 from x - 4 to x = 2

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Q: The average rate of change of the function y = a) 27 Ob) 26 c) 13 d) 14 x³ from x = 1 to x = 3 is

A: Given function is : y=x3 We have to find the average rate of change of y from x=1 to x=3.

Q: Describe how to detumine the rate of Change between X = 1 and X - 3 for the function flx) = 3x3+1.…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.