fa- (4 – 3 cos x) sin? x dx

Q: 3.14 A structure with a design life of 50 yr is planned for a site where high-intensity earthquakes…

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Q: 1. Factoring by Grouping la. xy + 2x + y +2 2a. uv + 3u +2v+6 3a. x³ + 2x²+x+2. b. 8rs + 4r + 2s + 1…

A: Since you have posted multiple questions i can do first question as per our company guidelines.…

Q: Given f(x)= 7x“+ 3x² – n. Find all zeroes accurate to læ10¯4 using: (a) Newton-Raphson method (b)…

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Q: 5. Obtain the differential equation of the family of curves, parabolas with vertex and focus on the…

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Q: Find the general solution: k^2 dx+(x-y+k)^2 dy=0 O A. tan [(x+k)-arctan [(y-k)=c] ] O B. y+k arctan…

A: Given problem is from the ordinary differential equation.

Q: * 32. Find the probability of throwing 7 with two dice in a single throw.

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Q: y" – 4y' + 13y = e2x cos 3x

A: Given: y''-4y'+13y=e2xcos3x So, we can also write as: D2-4D+13y=e2xcos3x So, the auxiliary equation…

Q: a. What is the distribution of U = Y?? Explain using the concepts discussed in class. b. What is the…

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Q: Let R* denotes the set of positive real numbers and let f: R+ R+ be the bijection defined by ƒ (x) =…

A: In this solution, we will examine the properties of the binary operation ⊗ on the set of positive…

Q: 1 dx (e2r – 4)5/2

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Q: Find the integral of the following indefinite integral equations: Jx dx / (5 + 9x4) Jx dx/v(16-9x4

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Q: 2. How many unique 3 digit codes can be created from the 5 digits {1, 2, 3, 4, 5} if repetitions are…

A: A permutation of a set is defined as an arrangement of its members into a sequence or if the set is…

Q: Find the derivative of: - R(t) = (sin² (3t+1), ln(t² − 1), ²) +1

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Q: 7. Find the general solution: ydx + (1+ x²) arctan x dy = 0 tan y = c b. arctan x + sin y = c C. y…

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Q: 3.19 The occurrence of traffic accidents at an intersection may be modeled as a Poisson process, and…

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Q: 3.21 The occurrence of accidents at a busy intersection may be described by a Poisson process with…

A: Given Information: The average rate of accidents per year is 3. Consider X as a variable that…

Q: . Using integration by parts: prove that ſ In u du = u In|u| – u + C %3D

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Q: d²x dx + 4- + 5x – 10 = 0, when t = 0, x = 0,x = 0 dt2 dt

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Q: If a group G has finitely many subgroups, does this mean that G is finite group? Justify your…

A: Given that  G is a group and G has finitely many subgroup. We have to find G is a finite group or…