4. Input (x) 0. 1

Q: 7) S fysinx'dxdy 1 ans:- (cosl–1) 6 4 -y

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Q: H(x)= In(x+2)

A: our objective is to find x

Q: 49. f(x) = alst %3D n=0 Selet ai 50. f(x) = 2 (-1)+1(x – 5)n n5" n=1 * (- 1)n+1(x – 1)"+1

A: f'(x)=∑n=1∞ (-1)n+1n(x-5)n-1n5n      =∑n=1∞ (-1)n+1(x-5)n-15n Apply the ratio test to check the…

Q: (11) Let X = n(µ,4) and Var(2x) = E(4– 7x) find u.

A:

Q: 1 4. P(X) 0.1 0.4 0.3 0.1 0.1 Find E(X). 3.

A:

Q: 0.6- |Natural input Z Reduced input 0.4- 0.2- roportion eaten (dry mass) HRE

A: The given diagram is a multiple bar graph which shows the proportion of dietary consumption of…

Q: Estimate the value of to within 0.057 of its exact value. 3 - n=1 n

A: To find the value of series that comes within an accuracy of 0.057 of its exact value using the…

Q: 7. Evaluate S(xcos 3x) dx

A:

Q: In Problems 99–106, analyze each polynomial function f

A: f(x)=x3+0.2x2-1.5876x-0.31752

Q: Show that x +2 and oe) = *+6

A:

Q: 13.3.9 Evaluate -x)-Pdx a beta function. as

A: Use the property of beta function to evaluate this integral.

Q: 5. Evaluate the integral. x+7 (x-6)(r-2)*a

A:

Q: 0 1 2 P(X=x) 0.15 | 0.20 0.15 0.50

A: We want to find the mean  Mean=E(X)

Q: Find g'(3). g(x) = In(1+t) dt In(4) 6ln(10) O In(10) 3

A:

Q: popula ty that least th st of fo

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

Q: 11 10 9 8. 12 3456789 10 11 12 13 1 2. - Minutes Since Bath Began 0 8 0 12 Domain Range Depth of…

A: The domain of a function f(x) is the set of all values for which the function is defined, and the…

Q: 1. max z = 2x1 + 3x2 X1 + 2x2 < 10 3x1 + 4x2 S 25 s.t. X1, X2 2 0; x1, X2 integer

A:

Q: 2x2+3x−20 has root(s) at x=

A:

Q: 9. The population of a certain country is given as P(x) and P(x) is in millions. How many years…

A:

Q: b) Is the Soluticn increasing or P N decreasia a when between o and te canyjug capacity

A:

Q: 2. Suppose the PDF of X is given by fx(x) = 5e-5x(o)(x). Find its CDF.

A: Solution

Q: 5. (a) sech 0 (b) coshl1

A:

Q: 18-If the coefficient of AR(1) is -0.85 with ap-value of 0.000 that means: a. There is positive…

A: Correct answer is (b). There is negative autocorrelation in the model.

Q: (0.646. 0.5792) | (1.0.3183) (0. 0) (1.0) (2.0) |(1.43, 0) 04 06 08 (0. 0) (2. –0.6366) (1.564.…

A: From the given graphs, f(x)=g'(x) and h(x)=g''(x)because from the graph g(1) has maxima and g(2) has…

Q: 9. between z = -2.09 and z = 1.72 Area: 10. to the left of z = -1.27 and to the right of z = 2.86

A: To find the required areas we use Standard Normal table.

Q: | Va(In(x))° dr (ax) 1.

A: We find the integration by substitution.

Q: 1/2 S x²√1-x²dx. 0

A:

Q: 1. Use a linear approximation to estimate the given number. е0.1

A: We can use linear approximation in order to solve the given problem.

Q: Differentiate all three problems

A: To apply the basic rules and obtain the derivatives of the given functions

Q: Evaluate e dt 0.2

A: We have to use standard gamma integration here.

Q: 2. Determine Var(Y) when Y 3X1 +2X2 with Var(X1) 1, Var(X2) 5, Cov(X, X2) 2, E X1} 3, аnd E{X} 4.

A:

Q: 2- S5olve X" = LX given u =1

A:

Q: In x Compute -dx. 3√√/x 9 X 3 A²x²0 nx-x²²+ C A.- In 2/3 2 4 1 B.- - +C X 3 4/3 4 3 C.--(In x)x-4/3…

A:

Q: solve for x if CDy=4(x-E)

A:

Q: 8. If l is the output for Carmichael's function machine shown at right, how can you determine what…

A: Since the output for Carmichael's function machine is 1. Equate x2+2x+1 to the output value of 1 and…

Q: −x^2+x+6 has root(s) at x=

A: To find the roots of the given equation.

Q: x²y' + 2xy = In(x), y(1) = 2 y = In(x) 1 2 + 1. 3 + - y = -In(x) O Option 1 Option 2 1 1 1 1 1 2 y =…

A: We are given first order non homogeneous linear differential equation which we will solve by first…

Q: 8) F(s)=³-ks² 2 Ans. f(1) =2(e"-1)-! k

A: Solve the following

Q: 1 Integrate

A:

Q: 1, thên kX KX < ky

A: Here are real numbers such that if , then

Q: + 4 (A In(x² + 4) + C B arctan() + C (C) jarctan(;) + C -arctan() D arctan () + C

A:

Q: x is within 5 units of 1. Olx-1 s5 |x - 1|> 5 |x -1|2 5 Olx-11-5

A: We will solve the problem

Q: Suppose X- N(H, 36 ) and P( X > 6 ) = 0.13. Determine the value of u. (Give your answer to 4 decimal…

A:

Q: 3) Find the deri vative of cscC (x) (xf3)' X4

A:

Q: We conclude that: for every additional distress input, the brain activity increases by 0.061 units…

A: Answer:----.               Date:----6/10/2021 since slope is change in dependent variable with 1…

Q: Ivy is not sure whether a particular c the coin is not fair if she observes 4 4.24 and alternative…

A: Ans:

Q: First and second derrivative of: In(x^3y^2)=x^2+y^3

A: Given: ln(x3y2)=x2+y3 Differentiate the function with respect to x.…

Q: Suppose X~N(159,19), and Z~N(0,1). Then x = 126, is equivalent to z = ______. (Round your answer to…

A: We have to find z score for given data...

Q: d) By multiple application of Simpson's 3/8 rule, use step size as 0.02. e) Discuss on your results.

A: Given that, the function is fx=x2+0.4x-0.081+x3. a) The value of the integral by using the…