In Jx2/25+ x² dx , we let x= 5sine. A True B False

Q: Is S Gx² + 5x + C)dx = 3x + 5 correct?

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Q: 2. Determine whether each of the following series is Convergent or Divergent by using the Direct…

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Q: 1. Let p be a positive number. Express cos(x)dx as a series, if possible. If not possible, explain…

A: To solve the following problem

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: Given :Max f(x, y, z) = xyzConstraints :  x + y + z=24, x-y+z=8To find : x, y and z are…

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(3,…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: This question is based on finding the adjacent edges of tetrahedron and dot and cross product use.

Q: Find the remaining trigonometric ratios. 7 csc(0) = Зл < 0 < 2n 2 6 sin(0) cos(0) tan(0) = cot(0)…

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Q: please answer the following asap Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Solve using GEMPS X1 + 3x2 + 5хз + 7x4 7x1 + 9х2 + 2хз + 5х4 5x, + 7x2 + 7хз + 7x4 2x1 + 2х2 + Зx3 +…

A: This is a problem related to gauss elimination method. Based on the general concepts we will solve…

Q: Find an equation of the curve in the xy-plane that passes through the point (2, 3) and has, at every…

A: integration

Q: 12. Find all possible values of x such that In(x) + ln(x + 1) = In(2). If no such values of x exist,…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 6j as…

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Q: 2. f(x) = x² - 5x + 6 A. x = 1 B. x = -3

A: This is a problem related to limit and continuity parts of the calculus. Based on the general…

Q: n(n + 1)(2n + 1) 3. Le n be a positive integer. Use induction to prove || 6 j=1

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Q: Using Jacobi Method solve the following system: 2х1 — 6х2 — Хз — —38 -3x1 - x2 + 7x3 = 34 -8x1 + x2…

A: Given that the system of equations are 2x1-6x2-x3=-38-3x1-x2+7x3=34-8x1+x2-2x3=20. First check…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: 6dz SVE -)dt

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: Given problem:- Determine the volume of the tetrahedron with vertices P(-4,4,0), Q(2,1,-3), R(1, 0,…

Q: 4. dx + (x – y + 2)?dy = 0

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Q: Cos3 cos³x S dx 1+ sinx

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Q: Display all powers of 2 that are less than 20000. Display the list in a properly formatted manner,…

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Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series ΣΗ 1 1 S = n+1 n+ 2 n=4…

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Q: Determine whether the series converges. Σ Vk+ 3 k=1 The series converges. The series diverges.

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Q: Show that the lines L1 : x = 3 – t, y = 2t, z = 3+t and L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are…

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Q: 1. Which of the following is a convergent p-series? (A) n³ n=1 n (B) 3 n=1 1 (C) n=1 3 1 (D) n n=1

A: A) ∑n=1∞ n3     Since n is positive integer⇒  The above series diverges B) ∑n=1∞13n   It is not p…

Q: Find the directional derivative of f at P in the direction of a. f(г, у, 2) — гу + 2?; P(5, —4, 3);…

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Q: 2. Let {an}, be a sequence of real numbers. Let a2k and a2k+1 be the even and odd terms of this…

A: To prove that if complementary subsequences converge to same limit then sequences also converges to…

Q: Find the distance between the parallel planes – 2x + y + z = 0 and 10г — 5у — 52 — 36 — 0. NOTE:…

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Q: Test the series below for convergence using the Ratio Test. n+5 52n +4 The limit of the ratio test…

A: Given

Q: Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution.

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Q: 2. 52 Calculate the determinant for 2 3

A: As we know that, If the given matrix is A=abcdefghi then the determinant of the matrix is:…

Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)

Q: de Evaluate: J æ/9a2 + 4 A f (x) = 9x2 + 4 + 2 In +C 3x (B f (x) = -2 ln V9x2 + 4 + 2 +C 3x © f (x)…

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Q: 14. In(1+ x?) da

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Q: Answer the following question Find the 12th derivative of the function ()65

A: To find,  12th derivative of the function x265.

Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, –7) and the vector component of v…

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Q: (तवन 2.

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Q: Determine if the following statement is true or false. The lines L1 and L2 are skew. L:x = -1 + 21,…

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Q: (a) / 2x vx + 1 dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: The evaluation of So So x y e**dxdy is 0.5 e 0.25 e - 0.5 O e - 0.25

A: Double integral

Q: 4 3 1 10 15 20 25 30 35 time (sec) feet velocity (ft/sec)

A: At t=0, velocity is 1 ft/sec. At t=25, velocity is 3 ft/sec. Required distance =Final velocity -…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: у" + 6у' + 10у %3D 1, У (0) %3D —1, y'(0) = 2

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Q: Find the remaining trigonometric ratios. Зл T < x < 2 1 cos(x) %3D sin(x) tan(x) %3D %3D cot(x)…

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Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: Find the gradient of the function at the given point. In(x2 – y) – 9, (3, 8) z = Vz(3, 8) =

A: use partial derivative for finding the gradient.

Q: = -14 – 5t = -5t y = 21 + 3t = 5t – 43 Given the skew lines l1 : Y = 9 – t and l2 : = 2t – 7 (a)…

A: Since, you have ask a question with multiple sup-parts, as per company guidelines we will solve the…

Q: Determine whether the lines Lj and L2 are parallel. L1: x = 3 – 4t, y = 5 + t, z = 8 – t L2: x = 5 –…

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