Let X~N(3,0²). Suppose that P(3

Q: Find the mean value of f(x) = |x| on the interval [-1, 4]. %3D

A: Given that: f(x)=|x| in [-1, 4]

Q: Q2/ Use the mid-ordinate rule with eight intervals, to evaluate 23sin² (x), correct to 3 decimal…

A: The mid-ordinate rule uses the midpoints of the subintervals to approximate an integral. The…

Q: For f(x) = 2-x4/3 + x, use the 2nd- Deriv. Test to find any local max or min

A: to find local max or min.

Q: Suppose a box contains 7 red balls & three blue balls. If 5 balls are selected at random without…

A: Hypergeometric distribution is given by

Q: The interval [1, 5] is divided into eight subintervals. (a) What is the left endpoint of the last…

A:

Q: Compute the indicated left or right sum for the given functioi ntèrval. 1 L4 for f(x) = on [2,4] %3D

A: We are asked to find the right sum of the integral.

Q: Verify Mean Value Theorem for the function f(x) = in interval [0,9]

A: If a function  f(x) is continuous at the range [a, b] and also differentiable in the range (a, b)…

Q: Evaluate (x by Simpson's rule breaking it into 6 intervals. 1 2+x2

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: Apply the Mean Value Theorem [MVT] to the function (x)= vx interval [4, 16]. MVT assures us that…

A: here we have to find the value of Z after applying mean value theorem ,  the given function is…

Q: Find the mean value of f(x) = |x| on the interval [-1, 4] %3D

A: If you like the solution then please give it a thumbs up.. The Answer is:         mean = 8.5

Q: 9) State the intervals of increasing and decreasing behavior in the function k(x) = x2 In x?.

A:

Q: Find the largest open intervals where the function is concave upward. f(x) = x 3-3x2 - 4x + 5 O None…

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Q: Let f(x)=x sq root x+7 Find the average slope of the function f on the interval [-7,0]. Average…

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Q: Find a finite difference approximation to f"(x) using the points x — x − 2h, x-h, x,x+h,x+2h and…

A:

Q: Find the extreme values of f(r) = Vr(5 – x) in the interval [–1,3].

A: For extreme points we need to find critical points and check value of f(x) on boundary values of…

Q: Calculate Ls for on the interval

A:

Q: Is it possible for φ(n) (the Euler's totient function) to be bigger than n?

A: The objective is to find the possibility (if any) for φ(n) (the Euler's totient function) to be…

Q: Theorem

A:

Q: Determine if f(x) = x4sin(1/x3) is uniform contuinius in the interval f : (0,∞) --> R

A: Some facts related to uniform continuity of function: A  function f is uniformly continuous on…

Q: Find the absolute extreme values of the function on the interval f(x)=tanx, -pie/6 less than or…

A: To find the extreme values of the function on the interval, f(x)=tanx, -π6≤x≤π6

Q: Find the lower sum for f(x)=x2 over [−1,1] with n=4. Give your answer in fractional form.

A:

Q: Evaluate dz using Simpson's one third rule with 6 intervals.

A:

Q: 4. Check that the function f(x) = x3 satisfy the hypothesis of mean value theorem or not at the…

A: To check that f(x)=x4/5 satisfies mean value theorem or not on [0,1]

Q: Evaluate the upper and lower sums for  f(x) = 2 + sin x ,0<=x <= pie  with n= 2,4, 8…

A: Given: fx=2+sinx, x∈0,π we know that in given domain sinx∈0,1

Q: 2. Let F(x) = x – sin(3x) on the interval [0, #]. (a) Explain why F satisfies the conditions of the…

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Q: s discontinuous at a = -3, determine whether

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Q: how that: (f)=X*(-f) x(t) is even, then b₁=0, an= To

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Q: Find a paint c Value Theorea f(x) = x*, [!, 5] satisfying.conclosion of Mean for following function…

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Q: 2. Verify that the Mean Value Theorem (MVT) applies to the function f(r) on the interval 37 and find…

A: Given query is to find the value that setisfy the mean value theorem.

Q: 10) Calculate a lower sum for f(x) = 2x + 5 over the interval [0, 2] using 4 rectangles. %3D

A:

Q: (b). Find the bound for absolute error at x = 2.9 on the interval [x, x,], where x, = 2.25, x, =…

A: On the interval x0,xn where x0=2.25, x1=2.5, x2=2.75, x3=3 with n=3 along with the function…

Q: What are the intervals of monotonicity of f(x) = arctan (2(x-1)) - ln IxI ?

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Q: Find the extreme values of f(x) = In 1+x SOUITION

A: Given- fx=lnx1+x2 To find- The extreme value of the above function.

Q: explain using a graph of (x) = X³-6x, for 0≤x≤3 With Six sub intervals, what the Riemann sum…

A:

Q: 8. Use the Mean Value Theorem to prove fEC'la, b], f'(x) = 0 = f(x) = c

A: see below the answer

Q: Find all numbers, c, that satisfies the Mean Value Theorem for f(x) =x' on [1, 4].

A: Given: fx=x3.

Q: 7. Where is f(x.y)= continuous? Do not just write an answer, show your work or give any necessary…

A:

Q: If fx) = x-2, 15xS6, find the Riemann sum with n= 5 correct to 3 decimal places, taking the sample…

A: To find- If fx = x - 2, 1 ≤ x ≤ 6, find the Riemann sum with n = 5 correct to 3 decimal places,…

Q: Use Taylor’s inequality to estimate the accuracy of the approximation f(x) ≈ Tn(x) when 0.5 ≤ x ≤…

A: We have to use Taylor’s inequality to estimate the accuracy of the approximation f(x) ≈ Tn(x) when…

Q: :) Find the average value of the function f (x) = 2sin ( Tx) cos ( Tx) on the interval [1,5]. --;…

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Q: +4イ find the cyitical Points of fCks and the intervals on which the function is increasing de…

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Q: Verify the Mean Value Theorem for f(x) = In(6x + 1) on | 0, %3D

A:

Q: In a certain city, the probability that it rains on any given day is 1/3. Approximate the…

A: Express the mathematical relation for the mean ,variance and standard deviation in central limit…

Q: Explain why not all of the hypotheses for the Mean Value Theorem hold for f(x) = 1- |x| on[-1, 2].

A: To explain why not all of the hypotheses for the Mean Value Theorem hold for f(x)=1-x on [-1,2]

Q: Say f(x) is positive and strictly increasing on the interval [a, b]. Show that the lower sum…

A:

Q: Use the linear approximation of f (x) = /x at x = 9 to estimate the value of /9.018. Do not round…

A: Given:      f(x) = √x     x = 9

Q: Suppose fx) is continuous on the interval [0,10] and that f(x) = 0 only when x = 4. If f(5)< 0, what…

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