Answered: Find the average value of the function…

Find the average value of the function on the given interval. (Round your answer to two decimal places.) H(t) = 3.6e0.5t, [0, 6]

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.1E: aThe average rate of change of a function f between x=a and x=b is the slope of the ___________ line...

See similar textbooks

Related questions

Q: Find the average value of the given functions on the given interval. Draw a graph of the function…

A: Use given conditions find required result

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

Q: Which of the following gives the average value of the function f(x) = e" over the interval 2 < x< 7?…

A: Given f(x)=e^x

Q: The velocity of a particle on the time interval 1 ≤ x ≤ 4 is v(x) = e²x, where v(x) is in cm/s. What…

A: SOLUTION:

Q: Find the average rate of change on the function f(x) = x3 +1 on the interval [-1, 1]. %3D O DNE 0 1…

Q: Find the average value of the function over the given interva f(x) = - 2x +8 on [-8, 4] O A. 4 O B.…

Q: 2. f(x) = 2x – 2 over [0, 3] %3D Find the average value of the curve of f(x) in 2.

Q: Find the average value over the given interval. -0.7x. f(x) = 80 e ; a = 0, b= 3 The average value…

A: Given, fx=80e-0.7x ; a=0 , b=3

Q: Г(x) -8-2х on [0,4]

Q: Find the number(s) a such that the average value of the function f(t) = 25 - 20t - 3t^2 on the…

A: Given function: ft=25-20t-3t2

Q: Find the average value of the function f(x), whose graph is given, on the interval [-2,3]. Enter a…

A: We have to find average value of function.

Q: Find the average value of the function f, given in the diagram, on the interval 0,4| . y 3 f (x) 2…

A: Let's find.

Q: Find the average value of the given functions on the given interval. Draw a graph of the function…

Q: Consider the function f (x) = 3e + 4. What is the exact average value of the function on 0, 3? Note:…

Q: Q4) Find the average value of the function f(x)=V4 + x, at the 2d Quadrant. .........

Q: find the average rate of change of the function over the given interval or intervals.

A: Given function, ht=cott

Q: g(w) = /w [1,9] on

A: To find the average value for the given function on the interval [1,9]. The formula is:…

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

Q: Find the average value of the function f(x), whose graph is given, on the interval [-2,3]. Enter a…

A: To find: The average value of the function f(x). Given: The interval is -3,4. Concept used: The…

Q: Find the number(s) b such that the average value of on the interval [0, b] is equal to 6. f(x) = 6x²…

Q: Find the average value of the function over the given interval. y =x - 5x + 1: [0,6) O A. 3 OB. -5…

A: the given function is y=x2-5x+1 ; [0,6]

Q: Find the average velocity of the function over the given interval. y =x? + 4x, [2,8] 21 O A. 2 О В.…

A: The average velocity of the function f(x) over the interval [a,b] is given by: f(x)=f(b)-f(a)b-a

Q: Find average value value of the function f(x) = /|x – 1| over the interval [0; 5] O A. 5 O B. O C. 3…

Q: 11) What is the average value of the function f(x) shown below over the interval 0<x<8? 5 (A) 4…

Q: What is the average value of the function f(x) shown below over the interval 0<x<8? (A) 4 Answer:…

Q: Find the average value gave of the function g on the given interval. 2 g(t) = [О, 3] 1 + t2' gave %D

Q: Find the average value of the function f(t)=(t−6)^2 on [0,12].

Q: 2x2 + 1 Find the average value of the function f(x) over x E [0, 3] eª/3

Q: Find the average value of the function on the given interval. f(x) = e */4: [0, 11 еx14. [0, 1] The…

Q: Find the average rate of change of the function y = 2e2 with respect to x over the interval from x=0…

A: As we know that; The average rate of change between the interval a≤x≤b is given by; Avereage rate of…

Q: graph the function and find its average value overthe given interval. ƒ(t) = t2 - t on [-2, 1]

A: Graph of the function: f(t)=t2-t ; [-2,1]

Q: 4) Using the equation, find the average rate of change of the function over the = x + 2x + 1; [0, 2]…

A: Given function y=f(x)=x2+2x+1 in the intervals [0, 2] and [2, 4]

Q: (a) Find the average value of f (x) = 25 – x² on the interval [0, 4]. Answer: (b) Find a value c in…

Q: Find the average value of the function on the given interval. (x) - 5x e 10, 11 2x. [0,1] The…

Q: Find the average value of the function f(t) = (t – 3) on [0,9].

Q: y (a) Find the average value of f(x) = 25 – x² on the interval [0, 2]. Answer: (b) Find a value c in…

Q: Find the average value of the function f(t) = –10teť on the interval [0, 5]. fave -10/e^25

A: The objective is to find the average value of the function.

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

Q: Find the average value of the function over the given interval. y = x - 2x + 1; [0,5] O A. 4 13 O B.…

Q: Consider the image below y = f(x) a b Let a = 6 andb = 7. If the average value of f(x) on the…

A: Given that a=6 and b=7. The average value of f(x) on the interval [6,7] is 18.

Q: 1. Find the average value of the function on the given interval: [1, 3] V3 + t? g(t) %3D а.

Q: Find the average value of the function f (x) = Vx on the interval [1, 8]. a) 12 12 b) 7 45 3 c) 4 d)…

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

Q: you have function fcx) = Uaxe" ax? Defermine a of what the value of a would be if the average value…

Q: Find the average value of the function f over the interval [0, 2]. f(x) = 7eX Need Help? Read It

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

A: According to question We have to calculate the average value of the function over the interval

Q: Find the average value gve of the function g on the given interval. g(t) = [1, 3] 3 + t² '

Q: What is the average value of y= cos x on the closed interval -13]2 (A) -0.085 (B) 0.090 (C) 0.183 D)…

Q: Find the average value of the function over the given interval. f(t) = e0.09t on [0, 10]

Q: Find the average value of the function f (x) = x³ – 2øn the interval [-2, 2]. 4 O 2

A: Given function is fx=x3-2. To find the average value of the function on the interval -2,2. Solution:…

Concept explainers

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.

Question

100%

Find the average value of the function on the given interval. (Round your answer to two decimal places.)
H(t)
3.6e0.5t, [0, 6]

Expert Solution

Step 1

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Definite Integral$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Let f(x)=1x . Find a number c such that the average rate of change of the functionfon the interval (1,c) is 14
aThe average rate of change of a function f between x=a and x=b is the slope of the ___________ line between (a,f(a)) and (b,f(b)).
Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. f(t) = 3t2 − 6, [4, 4.1]
(a) Find the average value of f(x)=25−x^2 on the interval [0,4].Answer: ____________________ (b) Find a value c in the interval [0,4] such that f(c) is equal to the average value.Answer: ___________________________
T1 Based on the image attached, find the average value for the given function and interval. Also find c.
Find the average rate of change of the function f(x), given below, from x=3 to x=t. f(x)=4x2 +x−2 Give your answer in terms of t.
Find the average rate of change of the function f(x), given below, from x=−1 to x=t. f(x)=5x2 − 5x+4 Give your answer in terms of t. Simplify your answer.
f (x) = 2 + | x | Find the average value of the function in the range [-2, 2]. A) 3/2 B) 1c) 1/2d) 3E) 12
Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. f(t) = 3t + 5, [1, 2]
determine the value of a so that the average rate of change of the function h(x)= x2+3x+2 on the interval -3<=x<=a is -1
Calculate the average rate of change of the given function over the given interval. Where appropriate, specify the units of measurement. f(x) = 2x2 + 4; [−3, 0] i am getting -14/3
Find the average rate of change of the function f(x), given below, from x=−3 to x=t. f(x)=−3x2 +4x+3 Give your answer in terms of t. Simplify your answer.