Make two separate plots of the function f(x) = (x+ 1)(x-2)(2x-0.25)- e. 2. one plot for 0sxs3 and one for -3 Sx56.

Q: Find the average rate of change of the function f(x) = 2x² + 16x + 28 on the interval [-3, –3 + h].

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Q: Find the average rate of change of f(x)=3x2 +2x−2 on the interval [2,t].

A: Consider the function f ( x ) on the interval [ 2,t ],

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 4 – 3 x, and the line…

A: Given: f(x)=4-13x If the given line is y=mx+c with slope m then the slope of a line perpendicular to…

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 – -x, and the line…

A: Given data:     The expression of the first equation of the line is: f(x)=5-2x/3. The second…

Q: Use this formula to find the instantaneous rate of change of the function at the given x-value.f(x)…

A: Given function is

Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

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: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

A:

Q: Find the average rate of change of f(x) = 3x-1 on the interval [2, 10].

A:

Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

A: The given function fx=2ex-6x

Q: Find the average rate of change of the function f(x) = x2-40x+28 over the interval [10, 50].

A: topic - average rate of change of function over interval

Q: Find the average rate of change of the function f(x) = x² -3x + 5 between x = 0 and x = 2.

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Q: 1. Plot the function f(t)= (x+5) for -35 x 3. 4+3x2

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

Q: - Plot the function y=(3cos(x)-sin(x))*e®* -0.2x for -45x9 with increment-D0.1

A: Here, the given function is  y=(3 cos(x) -sin(x))e-0.2x for the interval -4≤x≤9 with increment…

Q: 1) Use the definition of the derivative to find f'(x) f(x) = (4x + 1)(3 – 7x³) Step 1: Step 2: Step…

A: Topic:- function and it's Derivatives

Q: Use the graph of the function f to find approximations of the given values. y 4-

A: To find the values of f at x= a,  we imagine the vertical line x=a and where the vertical line…

Q: Find the average rate of change of f(x)=1x2−1 over the interval [2,2+h].

A: To find the average rate of change of the function f(x)=x²-1 over the interval [2,2+h]

Q: Find an equation of the line tangent to the graph of f(x)=4/x at (-8,-1/2)

A: Given: fx=4x  , -8,-12 Formula Used: Equation of tangent line is given by y-y1=f'x1x-x1

Q: Find the function f whose graph has slope 2x2 + 4 df dx and which passes through the point (1, 1).

A: Given: The slope of the function is, dfdx=2x2+4x

Q: 1. Plot the function f(t): (x+5) for -35 x 5. 4+3x2

A: Plotting graph by finding slope.

Q: Find the average rate of change of the function f(x) = −x2 + 8x − 4,from x1=0 to x2=4.

A: The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)b−a we have that a=0  , b=4 ,…

Q: Make two separate plots of the function f(x) = (x+1)(x-2)(2x - 0.25)- e one plot for 0sxs3 and one…

A: We need to make two separate plots of the function f(x)=x+1x-22x-0.25-ex one plot for 0≤x≤3 and one…

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

A:

Q: Find the average rate of change for the function between the given values. 17) f(x) = x2 + 6x; from…

A: Given function f=x2+6x ; given interval [5,9] The average rate of  change of the function f(x) on…

Q: Consider the function f(x) = -3x²³ +3x²-3x -\ Find average rate of change on interval (-4,-1). Find…

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Q: Find the relative extrema for f(x) = x* + 32a²

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Q: Find f'(x) and find the equation of the line tangent to the graph of fat x = 1. f(x) = (2+5x)(5-4x)

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Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line perpendicular…

A: Recall : Area of the triangle with three points x1,y1,x2,y2 and x3,y3 :            A=…

Q: Find an equation of the line tangent to the graph off(x) at the point (5, 9):f(x) =e^(x^2−3x−10)+ 8

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Q: Calculate the average rate of change for the function f(x)=5x² .5x-1 over the interval 4 3x S2.5

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Q: Find the relative rate of change and evaluate at the given function

A: To find the relative rate of change we have to find f ' (x) [first derivative of f(x)]

Q: 1. Make two separate plots of the function f(x)=0.6x-5x +9x+2; one plot for -4 sxS4, and one for…

A: The given function is fx=0.6x5-5x3+9x+2.

Q: 8. 4 2

A: In this question we will use basic of calculus i.e use of tangent function. We will write the…

Q: Find an equation for the line tangent to the graph of f(x)=-5xe^x at the point (a,f(a)) for a=3…

A:

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: Find the point on the graph of f(x) = Vx that is closest to the point (5, 0). (x, y) =

A: Use distance between point concept and then differentiate

Q: Find the slope of the line tangent to the graph of f(x) = -1₂ at x = 3. x+2 Provide your answer…

A:

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = V f(x), evaluate…

A: To find: The value of g'(4) if g(x)=f(x). Concept used: Chain rule: f(g(x)=f'(x)g'(x)

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: What is the equation for a linear function with a vertical stretch/compression by 2/5. BE SURE TO…

A:

Q: Q4. Find the slope of the tangent line to the function f(x)= e* +3; x+2 at x=4 5x-10

A: Given : fx = ex5x-10

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 12 e* +…

A:

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: Find the average rate of change for the function over the given interval. y = 2x° - 5x2 +5 between x…

A: Average rate of change: The average rate of change is defined as the  total change of the function…

Q: find the average rate of change f(x)=x2+6x from x1=3 to x2=4

A:

Q: Find the average rate of change of the function:f(x) = x2 + 2x from x1 = 3 to x2 = 5

A: Given function is fx=x2+2x. To find: The average rate of change of the given function from x1=3 to…

Q: Find the average rate of change of f(x) = 3x2 +2x – 2 on the interval [2, t].

A: 555

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: Find the average rate of change of the function f(x) = as x changes from x= -2 to x=5. %3D X-6

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: