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Q: What is the value of ∫0.2 2.2 xex dx by using N = 4 of the Simpson's rule? Round-off to three…

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Q: 20.tvaluate :L[t cosh 14t] A, 3s? +19le s²+196 C. (5?-1967? (6?-196)? -s?+ 196 s?-196 B. D.…

A: Using property of Laplace transform

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Q: If X represents the result when a 12-sided die is rolled once. Determine ..___________________…

A: GIVEN DATA : A 12 sided doll is rolled once       TO FIND : If X represent the result then determine…

Q: 1. Evaluate (i) dy dx, 3

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Q: Evaluate the integrals

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Q: S cFinz (Inz + 1)dz

A: Given: 7. ∫azlnzlnz+1dz To Find: To evaluate the given integration.

Q: 25-x2 In dx , if we letu=V25-x² , then udu= – xdx.

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Q: (c) Is ergodic (d) Is wide sense stationary

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Q: 57. Verify that S2 yields the exact value of | (x – x³) dx.

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Q: 2. J Зу /7—Зу?dy

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Q: What is ſ e2x dx? 1+ex

A: Given :                      ∫e2x1+ex dx     Substitute u = ex+1  ,  dudx = ex…

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Q: 1 en (enx)+ dx (enx)?

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Q: D Without o rodian measure of e if it exsists. calculator, giue the e = Sec-(-a)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2 If In(ax)dx = 2, then a = 1 es 4 4. O None e3 4. 4

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Q: In 8 In y S S e*y dxdy x+y

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Q: 7) In AXYZ, mLY 80, XY = 14, and XZ 17. To the nearest tenth, what is mLZ? %3D

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Q: popula ty that least th st of fo

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

Q: 3. Determine the complete solution using MVP: - cot(2:) dx

A: Given the differential equation

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A: Given:       ∫ 2xe-2xdx

Q: The tanh (2x) sech (2x) dx is equal to sech (2x) sech (2x) +C OA 3 10 OB. sech (2x) sech (2x) +C. 3…

A: Solution

Q: You are given that so(x)=e" – 0.001z² for x > 0 Calculate 5|15q65

A: Given that, s0x=e-0.001x2  for x≥0

Q: 2. Find S x?e* dx.

A: topic - integration

Q: 2sinh cosh -dx 3cosh? * 2

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Q: Q.5 Use both trapezoidal and Simpson's Rule to evaluate |(² +1)° dxby taking n=4.

A: We have to find integral of given function by using Trapezoidal Rule and Simpson's Rule.

Q: Suppose we want to show a classmate the basics of how to integrate with the u-substitution…

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Q: -2 -In x SLy e dz dx dy O 7/24 O 7/48 O 5/48 O 47/24

A: We have to find the integral.

Q: 5= 36-t sVE +at FND ds

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Q: nitial ter t und?

A: The distance s from the ground is given by;s(t)=96+80t-16t2When, ball touches the…

Q: Show that esin(x²)dx < e– 1.

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Q: 2. 2 in 12 in Vulume

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Q: Assume the model: Y = 5 - 2X + e , where e ~ N(0,81) What is the Pr(Y>10) when X =2? And What is…

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Q: 8. dy de = azte-c 2-ex

A: To Solve: The differential equation dydx=x2+e-xy2-ey

Q: 2 If [ In(ax)dx = 2, then a %3D 1 e4 4 None es 4 4 4

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Q: - Given y= ela's -x²-In'r, what is y'?

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Q: Find if y = [In(e* + 1) + ešin #]³. Do not simplify.

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Q: It is known that mortality follows De Moivre's law. If Var (T(50)) = 192 , calculate w Instruction:…

A: According to De Moivre's law, if sx=1-xw then Tx follows uniform distribution in the interval 0,w-x.…

Q: The S e"du eu +c In e True False

A: Solution: The objective is to determine whether the given integral value is true or false

Q: 9. To solve L [et] = you may use: n! (s-a)n+1 [te] - (-1){(t)}

A: here , we need to find laplace transform of function f(t)= f     we know laplace transform of eat…

Q: 9. For what value of k, k> 0, does (4kx-5k) dx = k² O 1 O 2 3 O 4

A: On solving this we will get

Q: Which one of the following equals IVy dz dy.

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Q: s) sohne rec'x pecy dx + sing dy = 2

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Q: e? If u= In x, then 1- (In x)2 dx=?

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Q: 2 If [ In(ax)dx = 3, then a = %3D es 4 e4 4 O None e3 4 e6 4

A: Given that: ∫12lnaxdx=3

Q: followi 30 ) of E

A: Here use basic definitions of confidence interval interpretation

Q: 12 Find p, q if ,“ f(x) dx – 2' f(x) dx = [,' f(x) dx. (Give your answers as whole or exact…

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Q: find using Serie s リ2 dx "I+X 2

A: As a first step, we need to obtain a series for the integrand.

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.