) Use the Fundamental Theorem of Calculus to find the average value of f(x) = e0.9a between x = 0 and x = 4. Answer: 9.888395 (2) Draw the graph of f(x) on your calculator. Find the average value on the graph. Finally give the exact x value for which f(x) = the average value. Answer for the x value:

Q: The radius and height of a right cylinder are measured at 2.9m and 1.6m respectively with a maximum…

A:

Q: 13- What is the average value of the function f) = sin' X COSX on the interval 0.? 3 a) 27 b) 2 d)…

A: Given function:                     f(x) = sin2 x cos x                              on the interval…

Q: 4. Find the average value of the given function on [1,4]. g(x) = 4 – x? -

A:

Q: Find the number(s) b such that the average value of f(x) = 6x? 42x +70 on the interval 0, b is equal…

A:

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

A:

Q: Find the value of c guaranteed by the Mean Value Theorem of intergrals... Given (x) = on [1,e?]

A:

Q: Which of the following is equal to the average value of f(x)=V16- x² on the interval 0,4| ?

A:

Q: (a) Find the average value of f(x) = 25 – x² on the interval [0, 3]. Answer: (b) Find a value c in…

A:

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

A: SOLUTION-

Q: Use the Fundamental Theorem of Calculus to find the average value of f(x) = e^(0.5x) between x = 0…

A:

Q: 5) Find the linear approximation to estimate V7.429. Compare this to the true value and determine if…

A:

Q: Given that f(z) =-8z +2, what is the average value of f(r) over the interval -2, 3|? (Enter your…

A:

Q: If f(x) = x² - 4, which of the equations below describes the average value of f(x) over the interval…

A: Let fx be a function, the average value of fx over an interval a,b can be calculated using the…

Q: Using Simpson's One-Third Rule, an approximate value of 14 / V(x' + 3x)dx with 4 intervals, correct…

A: Given The given integral is ∫04x3+3xdx Simpson's one-third rule is ∫abfxdx=h3y0+yn+4y1+y3+y5+·  ·…

Q: What is the average value of f(x) between x = 1 and x = 5 forf (x) = 2* ? 32

A:

Q: Find the number(s) b such that the average value of f(x) = 6x² – 50x + 82 on the interval [0, 6] is…

A:

Q: If f(x)=x²-4, which of the equations below describes the average value of f(x) over the interval [4,…

A: To find the average value of f(x).

Q: Find the exact average value fave of f(x) [0,5] where f(c) = fave. fave = C= Submit Question = 25-2…

A:

Q: 2. (Calculator Permitted) What is the average value of f(x)= cosx on the interval [1,5]? (D) 0.412…

A: As per our guidelines we are suppose to solve first question if the multiple questions are posted.…

Q: The graph of y = x                                ∫  f(t)dt                               0…

A: The given function is, y=∫0xftdt According to the graph, a). Function f is positive on 1,2∪5,6.…

Q: The radius and height of a right cylinder are measured at 2.4m and 1.5m respectively with a maximum…

A: I am attaching image so that you understand each and every step.

Q: 22. The average displacement over the interval 0; is given by xdt X = = The calculated value of x is

A: To evaluate: x¯ =1π ∫0π2xdt We know that ∫xndx = xn+1n+1

Q: 3. Find the average value of the function f(x) = x ln(x²) +1 on [e, e²]. Hint: 4(x In(x) – x) =…

A: Average value of function f(x) in the interval [a,b] is given by:

Q: If f(x) = e³x e³x, which equation describes the average value of f(x) over the interval [0, 3]? 1 3…

A: Solve the following

Q: Which do you think will be larger, the average value of f(x.y) = xy over the square Osxs 13, 0sys…

A:

Q: What is the average value of h(x) = x + 4 over the interval -5, –2? (Enter your answer as an exact…

A:

Q: Given that f(x) = −5x + 2 , what is the average value of f(x) over the interval [−3,2] ?

A:

Q: Find the Average value of f(x)=1/2x [1,4] if 1<=x<=4

A:

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

A:

Q: Find the average value of f(x) = cos* x sin x on the interval [0, 8]. Answer:

A:

Q: Suppose a ball is dropped from rest and after t sec its velocity is v ft/sec. Neglecting air…

A:

Q: 1. According to the data in Model 1, how many females fall within the range 146-155 cm tall? 2.…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: The radius and height of a right cylinder are measured at 2.9m and 1.6m respectively with a maximum…

A:

Q: find the average value of the function over the given interval. f(x)=\frac{2 \ln x}{x}, \quad[1, e]

A: The average value of any function f(x) in the interval a,b is given as =1b-a∫abf(x)dx

Q: Find the average value of ƒ(x) = e2x on [0, ln 2].

A: Given ƒ(x) = e2x . We need to find the average value of a function in the interval [0,ln2].

Q: Calculate the average value of g(x) = x²(3x - 3) on [0,2]. [Hint: The %3D formula for average value…

A:

Q: 2. The average value of f (x) = x2 on the interval [1,3] is В. 4 С. D. E. 8 24一3%一38

A:

Q: find the average value of the function over the given interval f(x)=1/sqrt(x) [4,9] find all…

A: Average value of function f(x) over Interval 9 , 6 is given by Average = 1b-a∫abf(x) dx

Q: Find the average value of the function f(t) = t to the power of 2(1+ t to the power of 3) to the…

A: the average value of the function f(t) = t to the power of 2(1+ t to the power of 3) to the power of…

Q: (2) Let fCt)=t-3t+2t measures the temp at tChoun) t-o is midnignt. What is the average temperat ure…

A: Given,          ft=t3-3t2+2t measures the temp at thours t=0 is midnight.

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

A:

Q: Find the average value of the function f(x) = from a = 2 to = 6. Express 3-2x your answer as a…

A:

Q: Find the average value of f(x) = x²/35 + æ3 on the interval [0,1]. favg %3D Report all answers…

A:

Q: Using Simpson's rule, what is the approximate value of ſ dx with n 10?

A: Given that, the integral is ∫0211+x3dx and the value of n=10. Note that, the Simpson's rule…

Q: What is the average value of h(x)=x+4 over the interval [−5,−2]? (Enter your answer as an exact…

A: Given function is: hx=x+4 ; x∈-5,-2 Now we have to find the average value of h(x) over given…

Q: Find the average value of g(x)= x+e^x on the interval [2,7]. Express your answer as a decimal…

A: The average value of a function f(x) on an interval a,b is given as AV=1b-a∫abf(x)dx

Q: What is the average value of the function f(x) = sin²xcos³x on the interval [0,-]? %D

A: The given function f(x)=sin2xcos3x on the interval 0,π2

Q: Find the slope of the normal line to the graph of g(x) = = at the point where x = 0. sin¯¹(x)+e²

A: Slope of the Normal line to the curve f(x) is -1f'(x).

Q: (1) (a) Let f(x) = x². Find the average value of f over the interval [T, 7²]. Keep your answer in…

A:

Q: The average zinc concentration recovered from a sample of zinc measurements in 36 different…

A: Given Confidence = 95% σ=0.3 μ is off by less than 0.05