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

Q: Show that the lines L1 : x = 4 – t, y = 2t, z = 5+t and L2 : x = 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

A: To show that the lines L1: x=4-t, y=2t, z=5+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

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: To test this series for convergence 4" - 1 1 You could use the Limit Comparison Test, comparing it…

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Q: owing graphs IS fit is continuous/differentiable, and (x) if it is not continuous/differentiable.…

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Q: 1 Use a limit comparison to test the convergence of |n+1 n=1

A: Given series ∑n=1∞1n+1 Recall limit comparison test

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: To Find : a) A vector oppositely directed to v=17,-8 and hal the length of vb) A Vector that as…

Q: 2. Given that arcsec 2) + (x² – y²)² = 2. (a) Find dy using implicit differentiation. dx dy usino…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: Let R and S be the relations defined as below 2. R = {(1,2), (1,3), (2,3), (2,4), (3,1), (4,1)} S =…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (2, 3)…

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Q: Determine whether the lines Lj and L2 are parallel. L: x = 1– 2t, y = 4 + t, z = 6 – t L2: x = 4 –…

A: L1:x-1-2=y-41 =z-6-1=tdirection ratio: V1=(-2, 1, -1)L2:x-4-6=y+23 =z-7-3=tdirection ratio: V2=(-6,…

Q: ne indicated function y, (x) is a solution of the given differential equation. Use reduction of…

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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: Solve using GEMPS X1 + 3x, + 5х; + 7x4 7x1 + 9х2 + 2х3 + 5x, 5х1 + 7x2 + 7х3 + 7x4 — 8 2x1 + 2x2 +…

A: Given system of equation…

Q: Use any method to determine whether the series converges or diverges. 00 k + 27 k= The series…

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Q: Find the distance between the skew lines: x = 9+ 6t, y = 5 + 6t, z = 7 – 6t y = 7, x = 7 – t, z = 6…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 2x – 10y – 8z – 1 = 0 (a) | -x…

A: Given problem:- Determine whether the planes are parallel, perpendicular, or neither.   (a) 2x…

Q: dv 9. S- V3v-2a 10. S(5 – 3y)*dy

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Q: Whiteboard 21208780-7052-8916KS Rm 3 ebaut x- Gais ーズ+ メx

A: Given problem:- y=-x2 +2x, y=0  Volume using disk method about x axis

Q: 1. State the domain and range of {(x, y)|y = + 3}.

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Q: In(1+ V x2 + y2 + z²)dzdydx. -VI-x²

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Q: 5x-20 50

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Q: The supplement of an angle is twenty degrees less than four times the angle. Find the measure of the…

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Q: Given the function f(x) = () a) Find a power series representation for f(z). п(п + 1) (n + 2):…

A: Let's find.

Q: 4. Given function f (x,y)=e-(x° +y"), and classify them into maxima, minima and saddles. then find…

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Q: 1 dx 5х e

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Q: Ans: y' + y2 - y = 0 ae* 5. y= 1+ae*

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Q: Evaluate the integral using Integration by Parts. (Use symbolic notation and fractions where…

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Q: Show that the lines L1 : x =1– t, y = 2t, z = 4+t and L2 : x = 1+ 3t, y= 3 – 6t, z = 5 – 3t are…

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Q: Consider integral 1 •1-z 1 II T (a, y, 2)dzdydz. nge the order of integration and rewrite the above…

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Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: 6" We want to determine if the sequence is monotonic. (3п)! Using the ratio test we get that n+1 Sn…

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Q: t's important to be able to recognize limits related to "e" when you're solving problems with…

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Q: Now, let f"(x) =0 and solve for x. Remember that f"(x) = - sin is a periodic function, and thus…

A: use the equation above for solving the equation for x.

Q: Find an equation of the plane through(-4, 4, – 4) that is perpendicular to the planes 9x – y + z = 9…

A: Given,            The plane passes through -4,4,-4 that is perpendicular to the planes…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: 2. Use the Mean Value Theorem to show that f(r) = 2r sinh(r - 1) +2 – r has a critical number…

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Q: A factory selling cell phones has a marginal cost function C'(x)=0.01x^2-3x+229 where x represents…

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Q: Express the given parametric equations of a line using bracket notation and also using i. j.k…

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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: Let a = ci + jand b = 6i + 24j. Find c so that a and bare orthogonal. C =

A: Given : a=ci+jb=6i+24ja and b are othogonal   To Find : value of c

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Q: Find the limit of the sequence whose terms are given by 4.9 1 Cos In =

A: Let's find.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 7/3 and whose components have…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 3x³y*; P(5, 1); a = 7 i –…

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Q: 2. Evaluate the following limits. /x²+3 d. lim X-0- X

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Q: Use the Chain Rule to find- af when r = 2, t =-1 of the function ar f(x, y, z) = e3xyz cos 2xyz ; x…

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