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Q: X is normally distributed with a mean of 5 and a variance of 25, find ) P(75XS1). ) P(0 sXS S). P(-3…

A: Given Mean =5 Variance =25

Q: пт' 3 (т — 8)(m + 9); т, %3D 8

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Q: (y + 1)dx + (4x – y)dy = 0

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Q: 4. Consider two maps S,T: R" R". The composition So T is a linear map if and only if both S and T…

A: 4. Consider two maps S,T:IRn→IRnThe composition SoT is a linear map ifboth S and T are linear maps

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A: As per the question we are given a multivariate optimization problem where we have to show that the…

Q: (а) Draw a function f(x) with f(0)=-1, and f'(x)=2 for all x-values on the interval [0, 3]. What is…

A: a) f(0)=-1 and f'(x)=2 for all x-values on the interval [0,3]b) f(0)=b and f'(x)=a for all x-values…

Q: Evaluate the indefinite integral of the following. 1. arcsin xdx, Use integration by parts 2. cos x…

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Q: x'V4-x dx

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Q: CNNBC recently reported that the mean annual cost of auto insurance is 966 dollars. Assume the…

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Q: В 8) Solve the right triangle. a = 18 ft b = B = 530

A: We know that in right triangle ABC,…

Q: 15.) у" + у%3D хе* sin 2x

A: Given differential equation is  y''+y=xexsin2x

Q: Recall that e :Ln for all x ER n: 0 (1.) Find the Maclaurin series for xe * (2.) Use the 2nd de gree…

A: Maclaurin series of function fx=ex  ex=∑n=0∞xnn!    ∀x∈R Second degree Maclaurin  polynomial for…

Q: In cach of the following problems, an ellipse is described by properties it possesse Find the…

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Q: x +y+ 5z = 0 Solve 2х — у + z %3 0 %D a. (4, 6, –2) b. (-2t, 0, t) c. (-2t, -3t, t)

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Q: Draw the particular solution for y= f (x) given the initial condition f (-1) = 0.5 x Clear Undo…

A: Given data is : f-1=0.5 To draw the particular solution for y=fx

Q: i) Find the Fourier sine transform of (sinx, 0a %3D au Courier Transforms, Calculate

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Q: Find the equationx²+y²+Dx+Ey+F=0 of the circle that passes through ppints (1,0),(0,1) and Lli8) D…

A: As per the guidelines, we are supposed to answer only 1 question.  Please repost the rest of the…

Q: Question 2. Consider the following functions, and identify whether or not each is one to one, and…

A: The function, f(x), is a one to one function when one unique element from its domain will return…

Q: Na national park, the population of beavers grows over time At time t=0 where t is measured in…

A: a.) Given differential equation is : dPdt=13300-P, with initial condition P0=20. Solving by…

Q: x In x dx Show that , V4 – x² dx = (2n + 3v3).

A: Part (a) Given integral is ∫12xlnxdx

Q: Let X1,., X, be a random sample of size n from a population with normal distri- bution with u mean…

A: Provided information is, x1, x2,...., xn be a random sample of size n from the population with…

Q: 1. Answer the two questions below (a) Explain what are the differences, if any, between a structure…

A: We will use the knowledge of the basics of mathematical logic to answer this question. Note that…