Chapter 5, Section 5.5, Question 022 Find [10f(x)-g(x)]dx if = 7 and 8(x)dx = 1. [10f(x)-g(x)]dx =l

Q: QUESTION 7 Evaluate 3x5 3x4+6x³-3x² - 6x x²-2x-In O x²-4x 2 O x²-4x 2 O rẻ-2r 2 [(x-1) 1/6(x+2) 16/3…

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Q: This is an example from the text. Can you show me how to get the slope? I do not fully understand…

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Q: Part 1: 1 1. S *(In x)3 dx 2. Se3x cos x dx 3. S(1 + x²)e-*dx 4. So x²e*dx

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Q: 3) √ √6x-x² dx a) 12 (x-3) √ 6x-x² + 2 arcain 2/ arcain X=² X-3 te 3 (x+3) Gx-x2+gain x3tc 3 c) —…

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Q: a=t). CTaylon Serie) 2-X Ln +x) (MacLurinSeries

A: We need to find the Taylor series of f(x)=12-x at a=1. Taylor series of function fx at a is defined…

Q: Part 1 of 3 (a) 232 Find the critical numbers of the function f(x) = x4 – x3 + 1682x2 + 12. (Enter…

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Q: Write down the characteristic equation and find the general solution to x'' - x' - 2x = 0.

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Q: Example 8.13. Use Simpson's 1/3rd rule to find dx by taking seven ordinates.

A: Here we have y=f(x)=e-x2 now to take seven ordinate means n=6  (6 intervals) then step size…

Q: Show that the equation Xn+1 = -Xn + rXn+ 3 Xn° has a period-doubling bifurcation for x O at r = 0.

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Q: 3cot3x dx Q./ 5 log|sin3x| + c log|sin5x| + c 5 O None log|sin3x| + c 3

A: We need to evaluate the given integral: ∫3cot3x5dx This can be done as follows:

Q: (page:160): Solve the given nonl. ly = x² – 9 1: 2x + y = 3 Sy2 – x2 = 28 X – y = 14 4:

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Q: Question 6 Use the substitution method to compute 9r e d. -- + K.

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Q: 67. Find a reduction formula for e- dx

A: Given that ∫xne-xdx find the reduction formula

Q: Question 7 - Using a suitable linearization to approximate √101 show that the approximate value is…

A: Given, 101 we have to approximate it by using linearization.

Q: Section 3.5 p. 315/317 # 288 Use tables to perform the integration. dx 288 V4x+1

A: We have to find the integral.

Q: Section 3.4-The product rule and Quotient Questions In(x) Differentiate: y = Q1 Q 2 (0 Q 3 ( Q4 ( dy…

A: To find: The differentiate y=ln xx7. Concept used: Quotient rule of differentiation.…

Q: e -1 Compute Lt v1+x-1

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Q: (−5x+6)(x+4)(x−8) has root(s) at x=

A: Given expression is

Q: Question (1)  Prove , ez1/ez2  = ez1-z2

A: The given equation is: ez1ez2=ez1-z2

Q: 1/2 S x²√1-x²dx. 0

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Q: Question 4. Show that the average value of f(x) ei. = e- + cos x on the interval [-7/2,0] is

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Q: QUESTION 5 Select all valid answers. d. 5x°+8x4+2 Compute dx 10x'+11x +8 n (45x8+32x3)(10x7+11x…

A: We have to find derivative

Q: Example 8.25. Evaluate x + 2x + 1 Jo 1+ (x + 1)². dx by Gaussian 3-point formula.

A: Gaussian 3-point formula. variable change x=a+b2+b−a2v if ∫abg(x) dx=b-a2∫-11g(a+b2+b-a2v)…

Q: x cos 5x dx Ste-* dt -3r

A: Solution of above question is written below.

Q: 3. If the pdf is -a<x<a ,Find the generating function( express your answer in 2a simplified form)

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Q: Question 2 Find the solution to the Bernoulli Equation. (3siny - 5x) dx + 2x²cotydy=0

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Q: 32. In Example 4 of Section 1.2, we examined how CO2 concentrations (in ppm) have varied from 1974…

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Q: Example 8.23. Evaluate using Gauss formula for n = 2 dx 1-1 1+x² and n = 3.

A: The problem is solved using Gauss formulas for n=2 and n=3.

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: Question 5 Does x2 – 10 = x x sin x have a real solution? Show your process. %3D

A: yes the equation have real solution

Q: 3. If the pdf is -a<x<a , Find the generating function( express your answer in simplified form)

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Q: 1. [5an2f elan 28 sec² 2 Båß 3. e +1 2x e2x +2e* dx e* +1 4. |(30shm +ecoshm' 2.

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Q: paper 2 4. INDICES AND SURL 2019 N FUNCTIONS + INDICES AND SURDS Q2 Do not use a calculator in this…

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Q: (ρ(1) =? 2.0.602 (3×3!/4) =? (Gammafunction) 1. 1337

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: ² a -2

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Q: show that e^(4t-3t^2) cannot be a moment generating function

A: Moment Generating Function:                The Moment Generating Function is the expected value of…

Q: 10. (Section 4.4) Find the area of the region bounded by f(x) = x² + 3x + 1 and g(x) = 6x + 1.

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Q: 5 2 1 3 Suppose X is Gaussian and A = 3

A: From the given information, X is Gaussian 12,5221 and A=1331. That is, EX=12VX=5221 a) EXTAX:…

Q: Chapter 1.1 Solve the ODE by integration or by remembering a differentiation formula. y' +e=/½ = 0…

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Q: Question 5 4x2 Calculate the integral: dx 5+ x² V5 + x² - 10 ln V5 2х + C (5 + x²) 32 V5 + x2 V5 2х…

A: Indefinite Integration

Q: Example 8.19. Use Romberg's method to compute dx 1 + x² correct to 4 decimal places.

A: Let y = 11+x2  and let I = ∫01dx1+x2take h = 0.5 =12The tabulated values of y are   x0 x1 x2 x…

Q: Sheet 4 Numerical analysis dx QI/ Evaluate Jo 1+x2 Simpson's 1/3 rule Simpson's 3/8 rule i- ii-

A: In the question we have to find value of integrals.

Q: Problem 1  Verify that  (1/((x^2)-1))=(1/2)[(1/(x-1))-(1/(1/(x+1)) And use this equation to evaluate…

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Q: The series 3i+ 6i+ 9i+ 12i+... diverges because

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Q: 6. (Section 4.3) Find the area under each curve over the indicated interval. (a)y = 6- x2, (-2, 1]…

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Q: 19-20 Find dx/dt. 19. x = 12 - 1

A: x= t2 -t dx/dt is differential of x w. r. t to time

Q: If we use a linear approximation of e- at a = 0 to approximate e-1/3, then we obtain: А. 4/3. В. 2/3…

A: The solution is given below

Q: II EIN ep %3D 4-cose .A 15 .B V14 13

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Q: QUESTION 5 Find the 2nd solution by reduction of order. y" - 4y +4y=0; y₁ = e²x

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