IM eries Which statement about the Divergence Test applies to this n=1 s converges by the Divergence Test es diverges by the Divergence Test. ergence Test does not allow us to draw a conclhision concerning the behavior eries.

Q: (y n?(1 + 3*) dy 1+ y? 2.

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Q: A piece of wire 5 m long is cut into two pieces. One piece bent into a square and the other is bent…

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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: 1. Which of the following statements is true? (A) The series (-1)"+1, diverges by the alternating…

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Q: Consider the series Σ (x – 8)4 5- 2! (x – 8)6 25 · 3! (x – 8)8 125 · 4! an = (x – 8)² + +... n=no…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y2 + z* (5,…

A: To find gradient of the function at the given point.

Q: 9. 8- 7- 6- 2 9-8 -7-6 -5 -4 -3-2 123456 789 -2- -3- -4- -5 -6 -7 -8 -9- 9786 654 32

A: Topic = Circle

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Q: Are the lines = 7+12t, y = 12–10r, z = 1+2t, and.x = 6+13t, y = 8+2t, z = 10–5t parallel? O No O Yes

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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:…

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Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

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Q: The integral of the given function csc x dx is equal to 3cos' x-10sinx cos'x-15sin xcOsx 15sin'x…

A: To evaluate the given integral.

Q: Find Duf at P. f(x, y, z) = 4x'y°z?; P(1, – 2, 1); u = - 2. Duf

A: The objective of the question is evaluate the directional derivative at a given point.

Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (2, –5) + t(1,…

A: Parametric equation of the line, <x,y,z>=<a,b,c>+t<p,q,r> , t is a scalar is given…

Q: (cotx + tanx)² dx 3 4

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y² + z² (5,…

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Q: 11. Let b be a real number with b > 1. Determine whether > 1 converges or diverges. As part 1+ bk…

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Q: Find the vector component of v = 2i - j+ 3k along b = 4i + 8j + 8k and the vector component of v…

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Q: Question 1 Given y = Va - 2Vr 2; Find y'. 1-Vオ-2 %3D 2(-2) 7 O (E) None of the choices Va-2-1 Oy =…

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Q: FIND HE WORK DONE IN LIFTING Za lo00 lb OF COAL FROM À MINE (500ft. DEEP BY NEANS OF A CABLE WIIGH…

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Q: ors in 2-space that make an angle of 45° with answers in terms of i,j and k.

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Q: X Your answer is incorrect. Edit Find the vectors that satisfy the stated conditions. NOTE: Enter…

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Q: Jose must choose between two job offers. The first job pays $62,000 for the first year. Each year…

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Q: Find parametric equations of the line through (-3,0, 4) that is parallel to 5i– 8j+k. x(t) y(t) =…

A: Parametric equations of a line passing through the point P(a,b,c) and parallel to the vector v→=…

Q: (3) Find the position function of the particle at time t ≥0. a(t) = 3t −14, v(2) = 0, s(−1) = 2

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Q: x³ + x2 – 4 1. Consider the function f(x) 4.x = x +1+ Note that x² – 4 x² – 4 - x²(x² – 12) (x² –…

A: Solution is given below:

Q: 3x dx | sec 2

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: First we find partial derivative with respect to x and y.

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y2,…

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

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Q: Evaluate the volume of the solid generated by revolving the plane region about an axis. Show…

A: We have to find volume of solid generated by revolving the plane region about an y - axis.

Q: I +1 5. h(a) at x = 1 x2 – 1 -

A: Factorize the denominator.

Q: 4. dy – (x - y + 1)²dx = 0

A: As we know that; ∫dxa2-x2=12alnx+ax-a+C   The given differential equation is: dy-x-y+12dx=0 So, we…

Q: 1 | zdnlzdz converges and I (In(x))" a positive number. Determine the values of p for which s of n…

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

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Q: f ′= (6/(x^2))+ 3√x, f (1) = −5

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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

Q: 2 f-2 xLo if where 14ーx2 if oLx 42 4 -x² if OL x -2

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Q: af Find a d () + In (). of the function f(x,y) = arccot and ду

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Q: 39+ 5 dy (5y~7)2

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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…

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Q: Approximate the critical numbers of the function on the open interval shown in at each critical…

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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: Evaluate the volume of the solid generated by revolving the plan

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Q: Using the table below. Write all the possible idea that you may seen in the graph. (one sided limit,…

A: Given

Q: 3" Σ 2. Use a direct comparison to test the convergence of 4" +n

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