You are told that f(x) is everywhere continuous, passes through the point (8,5) and thatlim+3f(x)+8x-3= 3It follows that the instantaneous rate of change of f (x) at x = 3 is, and the average rate of change of f (x) on the interval[3,8] is

Answered: Image /qna-images/answer/9fff9f24-e394-437f-ad94-bbe609a006ad.jpg

You are told that f(x) is everywhere continuous, passes through the point (8,5) and that f(x)+8 lim 2-3 x 3 = 3 - It follows that the instantaneous rate of change of f(x) at x = 3 is [3,8] is and the average rate of change of f (x) on the interval

You are told that f(x) is everywhere continuous, passes through the point (8,5) and that f(x)+8 lim 2-3 x 3 = 3 - It follows that the instantaneous rate of change of f(x) at x = 3 is [3,8] is and the average rate of change of f (x) on the interval

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

See similar textbooks

Related questions

Q: (a) Evaluate the surface integral ff z² dS, where S is the upper half of the sphere x² + y² + z² =…

A: For part (a), the surface integral evaluates to(−332π). For part (b), the surface integral…

Q: Examine the function and a A point C1 y= -Incx)

Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

Q: If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) h(1) = 5 h'(1) = -7 g(1) = 4 g'(1)…

A: Answer : -47Explanation:Note:f≡f(g(t),h(t))and fx≡fx(g(t),h(t))

Q: 5) Find the volume of the solid generated by revolving the triangular region with vertices (0,0),…

A: The objective of this question is to find the volume of the solid generated by revolving a…

Q: Problem 2. Let f R2 R be (a) (b) f(x,y) = (xe)10 Determine the second-order Taylor formula for f…

A: Answer is given below :-Explanation:

Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The required value of directional derivative is 2.3 ( in decimal). In fraction: Directional…

Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

A: The given total inventory cost function

Q: Write the corresponding rectangular equation for the curve represented by the parametric equations…

Q: lim n!en 1/2

A: √(2π) Or. √2 •. √πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Find all points (if any) of horizontal and vertical tangency to the curve x = 6+2cose, y = -2+ sine.…

Q: 8sin 75 = 4

Q: Find the Jacobian of the transformation. x = 9uv, y = 6vw, z = 4wu

A: To find :-The Jacobian transformation of

Q: Use the result, "the set of parametric equations for the ellipse is x=h+a cose, y=k+b sine" to find…

Q: Consider the following. y= x²+27 54 y y=x³+27 x 3 (a) Write the integral that describes the area of…

A: (a)∫−30(x3+27)dx(b) 4243 square units Explanation:Step 1: Step 2:

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 32+ y² = 5. maximum value =…

Q: Find the points on the surface 5x² + 1y²+4z² = 1 at which the tangent plane is parallel to the plane…

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

Q: A man with $20,000 to invest decides to diversify his investments by placing $10,000 in an account…

A: The Data:We have two investments:Account 1: $10,000 at 5.2% compounded continuously (graphed as a…

Q: Can you give me an example (with problem, solution, and a detailed description of the process that…

A: The objective of this question is to understand how to derive the scalar equation of a plane using…

Q: Consider the definite integral Cx3 dx 0 How many partitions would be needed to approximate this…

A: The given integral is The error bounds for the midpoint rule If and be the error in the mid point…

Q: I need help with 45.

A: (45) We have proved that, f(a+b)=f(a)+f(b)Function : f(x)=x2−1 Example : f(2+3)=f(2)+f(3)⇒24=11So,…

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x² + y² subject to the…

A: We know, that

Q: Solve for P Round to two decimal places.

A: Answer is given below :-Explanation:

Q: lim 47x cos(x)-47sin(x) Find the limit 0+x x sin²(x) lim x-0 47x cos(x)-47sin(x) x sin²(x)

Q: Give your final answer in interval notation. Find (by hand) the intervals where the function…

A: The given function is

Q: > Next question For the given cost function Get a similar question You can retry this question below…

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 7…

A: We have to find the motion of the particle: .Clearly, for different values of t we can get different…

Q: Given the graph of f, find any values of x at which f' is not defined. Q 2 G OA x=-2,2 OB. x=2 O c.…

A: The derivative of the function is undefined when:The function has a vertical asymptote.The function…

Q: Can you do part (b) ?

A: The solution is given below please refer to the solution and if you have any doubt with regards to…

Q: A direction vector of the line passing through the points A (3,-1,-2) and B(-1,2,1) is <-4, 3,3). •…

Q: Now, we can find the revenue function by multiplying the price function by the quantity function and…

A: Revenue function can be obtained by multiplying the price function by the quantity function.

Q: When the cross product between any two vector is zero then these vectors are perpendicular Ignore…

A: Give statement "When the cross product between any two vectors is zero then these vectors are…

Q: Make a sign diagram for the derivative of the function: f(x) = −x4 + 4x3 − 4x2 + 5

A: The objective of this question is to create a sign diagram for the derivative of the given function.…

Q: Find the arc length of the curve on the given interval. x²,y=141, 0 ≤t≤7 Select one: O a.…

A: Given the parameteric form of a curve.

Q: Evaluate the following integrals using partial fraction decomposition, when applicable. 16. dx…

A: 16). I=51ln∣x+1x−4∣+C 17). I=2−3ln∣2x+1∣+2ln∣x+2∣+CExplanation:Step 1: Step 2: Step 3: Step 4:

Q: 0 and x = The curve y = 9√√√ is rotated about the x-axis between x = : 1 through an angle of 2…

A: ans=40.99 pie sq unitsExplanation:

Q: Find f'(x). f(x)=7ex+2x-5 Inx

A: The objective of the question is to find the derivative of the function f(x)=7e^x+2x-5 ln(x). The…

Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the…

A: DuT(2,4,4)=−116511Explanation:Given that T is inversely proportional to the distance from origin.…

Q: Solve the given integral equation or integro-differential equation for y(t). y' (t) +27 (t-v)y(v)…

A: The objective of the question is to solve the given integro-differential equation for y(t). The…

Q: Let g(x, y, z) = x³y²z√√√18-x-y-z.

A: The given function is

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The given vectors a,b and c are not coplanar because, a.(b x c)=0 Explanation: Given vectors,…

Q: When a hot object is placed in a water bath whose temperature is 25°C, it cools from 100°C to 50°C…

A: The temperature of the second bath is 19.554765oC.Explanation:

Q: Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. (d) Find the vector equation…

A: The objective of the question is to find the vector equation of a line that passes through a given…

Q: Use Lagrange multipliers to find any extrema of the function subject to the constraint x² + y² ≤ 1.…

A: The given function f(x,y) = e-xy/4 Extrema of the function subject to constraint x2 + y2 = 1…

Q: A model for the surface area of the human body is given by the function S = f(w, h) = w0.425 0.725,…

A: Sh(160,70)≈1.948 sq.ft./lbThis means that the rate at which body surface area increases with…

Q: Hello Continuing with this problem, shown in the picture, where the parameterization for S was…

A: To calculate the surface area of S, we'll use the formula for the surface area of a parametric…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The exact area of the parallelogram is 726. The approximate area of the parallelogram is…

Q: Let S be the paraboloid y = x^2 + z^2. Find a parametric representation for S and its tangent plane…

A: The objective of this question is to find a parametric representation for the given paraboloid S and…

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

Question

100%

You are told that f(x) is everywhere continuous, passes through the point (8,5) and that
lim
+3
f(x)+8
x-3
= 3
It follows that the instantaneous rate of change of f (x) at x = 3 is
, and the average rate of change of f (x) on the interval
[3,8] is

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information

VIEW

Step 2: We find instantaneous rate of change

VIEW

Step 3: We find average rate of change

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here