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Q: Suppose that X and Y are independent measurement of a quantity μ. E(X) = E(Y) = μ,     σX ≠ σY,…

A: It is an important part of statistics. It is widely used.

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Q: 9. What is the antiderivative of f(x) = 6x² – ? 2 а. 12x + x2 b. 3x³ + x2 e 3x3 - x2 d. 3x3 – 2 In x…

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Q: Whch of the futowing tunction is a iner tunctiont Sx)- V3x -4 S(x) = x +5 O oton O outen f(x) = 2x…

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Q: 2. Find the most general antiderivative. f(x) = x5 +3x/2+7+6x-2 + 3x-5/2 %3D

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Q: Q5. In the following diagram: H: μ-4; Η: μ = 1. (X) Ho H XD Rejection region Non-rejection region

A: Given: H0: μ=4H1:μ=1 The graph is as below

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A: Given To evaluate ∫∫S3y.dS where S is the portion of y2+x2=4 between x=3 and x=3-z.

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A: We will use the following 2 properties of definite integrals to find the answer

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A: Here, we have to maximize the given function with respect to the given constraints. Maximize Z = 10x…

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Q: 4) f(x, y,z) = /1– x² – y² – z²

A: Domain is the subset of R3 where the function is defined

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Q: first. Show that your ansW do you prefer? 3-30 Differentiate. 3. y (4x2 + 3)(2x + 5) %3D 4. y (10x2…

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A: Given R: -2≤x≤2,-1-4-x2≤y≤1+4-x2

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Q: Which of the following is an antiderivative of 8x3? А. 2х4 + х В. 2х4 — х 3. С. 2(х4 — 1) D. 2x(x³ –…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: As per the guideline, 3 subparts can be solved. please repost the remaining subparts.

Q: S ³f(x) dx = 5, ³g(x) dx = 7, and Which of the following can be determined given Ⓒ S (f(x) - g(x))…

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Q: 6. 6. If f(x) dx = 37 and g(x) dx = %3D 16, find [3f(x) + 4g(x)] dx.

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A: Given: Minimize: F =x12 + 4x22-8x1-16x2 Subject to:  x1+x2≤50≤x1≤3x2≥0

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Q: 2. 5x + 3y > 15 7x + 2y < 21 x2 0 y 37 • Submit your activi File name: FINAL Example: FINALS

A: To plot the graph we first convert the given inequalities into E qualities . therefore  5x+3y=15…

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Q: (Taken from Hughes-Hallett, et. al.) When you cough, your windpipe contracts. The speed, v, at which…

A: Hey, since there are two questions posted, we will answer the first question. If you want any…

Q: Evaluate the definite integral

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A: We can form a function f(x) for approximating square root of 5 then we can use bisection method.

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Q: Maximize p = 5x + 7y + 4z subject to x+y+z≤150 x+y+z≥100 x≥0, y≥0, z≥0. p=? (x, y,…

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Q: 3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x)…

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Q: Let X = n(µ,4) and Var(2x) = E(4–7x) find %3D H.

A: Given: a random variable X follows normal distribution. Mathematically, X~N(μ,4) The expected value…