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Q: Find the divergence of the vector field F = < ya®, æ2®, zy* div F = Preview

A: Divergence of F→=yx3, xz6, zy4

Q: Find the following. (0, 1), v = (5, -5) (a) lu|| (b) v|| (c) ||u + v|| (d) (e) ||v|| u+v

A:

Q: 1 у 3 2 y (х + 2)

A: y = (x+2)-1/2 dy/dx = (-1/2)(x+2)(-1/2 - 1) dy/dx = (-1/2)(x+2)(-3/2) dy/dx = -1/2(x+2)3/2

Q: (a) Find the particular solution of dy, 2y cOS I y(T) = 0 dx

A:

Q: Consider the following. u = (6, -1, 0) v = (-2, 3, 0) %3D %3D Find u x v. Determine ifuxv is…

A: Let's find.

Q: 10. On a typographic map, the contour lines show changes in elevation of the land. You and a friend…

A: a) From the figure I have an elevation of 200 ft and the elevation of my friend is = 800 ft. So the…

Q: First four terms of the sequence n2+3 n 1+8 n are: 4 10 79 28 9 17 75 33 none 4 10 18 28 9. 17 25 33…

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); и %3 %3|

A:

Q: d Calculate ri(t) r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly and…

A: The given problem is solved below in detail.

Q: Response 1. The point (12, 10) is on the graph of y f(x). When y = fix) is transformed o g(x)-3(2x u…

A:

Q: Consider the function f(x) = 3x – 2x on the interval [- 3, 3]. Find the average or mean slope of the…

A: We know that the average or mean slope of the function f(x) on the interval a, b = f(b)-f(a)b-a

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A:

Q: f (x) = x²In x + sec x; find f"(x)

A: Given ,f(x)=x2ln(x)+sec(x)DIferentiate…

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A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Symmetric equation of a line passing through the two points P(a,b,c) and Q(p,q,r) is given by,…

Q: -3x cos (5x)dx

A:

Q: Verify that the two planes are parallel. --x + 6y + 2z = 7 *+ 3y + z = 8 Find the normal vector, n,,…

A: The normal vector to the plane ax+by+cz=d is given by n=a,b,c

Q: A region bounded byf (y) = Vỹ + 1, y = 4, y = 9, and x = 1 is shown. What is the volume of the solid…

A:

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: A vector valued function in the form of  r (t) = f(t) i +g(t) j +h(t) k is continuous at the…

Q: Evaluate the indefinite integral. | x34 sin(x35) dx

A:

Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b)…

A:

Q: The vector v with initial point (0, 0) is shown below. Write v in the form v=ai+bj, where a and b…

A: Given ,  The vector v with initial point (0, 0) We have to write v in the form v = a i + b j where…

Q: 3. y" +4y = 0; yıi =cos 2x, y2 = sin 2x; y(0) = 3, y'(0) =8 4. y" + 25y = 0; yı = cos 5x, y2 = sin…

A: Note : "Since you have posted multiple questions, we will solve first question for you. To get…

Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

A:

Q: Find the arc length L of the graph of r(t). r(t) = 6 cos(t)i + 6 sin(t)j + tk, 0<t< 2n 0 <t< 2n L =

A:

Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

A:

Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

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Q: ||r'(t) × r"(t)|| ||r(t)| Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk…

A:

Q: Use the comparison test to verify that the following series converges: 1 Σ n =15+n4

A:

Q: Solve the initial value problem. 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. %3D %3D

A:

Q: 2 2/The third term of a geometric sequace whose First term 2 and its FiFth tom 162 is ? A- az a 18…

A:

Q: For each of the following series determine if the series converg for series convergence or…

A: Given

Q: (d) (u v)v (e) u (3v)

A:

Q: Convert the equation, 5r csc(0), from polar coordinates into rectangular coordinates. Hint: Enter an…

A:

Q: 1.) Use the integral test to determine if the series is convergent or divergent: E 2e-31 n =4 If it…

A: We are given a series  ∑n=4∞ 2e-3n We have to determine whether this series is convergent or not…

Q: given magnitude and the same direction as u. Magnitude ||v||-5 Direction u- (-4, 6, 4) Submit Answer

A:

Q: Find T(t) and N(t) at the given point. r(t) = = 8 cos(t)i + 8 sin(t)j; t 3 T 3 N(5) = 3

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Q: Express cylindrical coordinates in terms of spherical coordinates

A:

Q: 1.(a) Do there exist integers a, b, c such that gcd(a, b) = 30, gcd(b, c) = 24, gcd(a, c) = 54?…

A: (1) gcda,b=30=2×3×5  ...(1)gcdb, c=24=23×3    ...(2)gcda,c=54=2×33     ...(3)

Q: (x + y)ds, C : ¤ = 2t, y = – 2t + 3, for – 3 <t<0. Preview

A:

Q: Tutorial Exercise Evaluate the definite integral. Use the integration capabilities of a graphing…

A:

Q: f(x) = (sin x – 1) cos x on 2'2.

A: I am attaching image so that you understand each and every step.

Q: Use limits to determine all the linear asymptotes of Зд? — 5 if r1. a² + 2x – 3'

A:

Q: -1 8 - 2 Use this procedure to find the inverse of A =| -6 49 -4 34 -5

A: We can solve this as follows:

Q: 1) Sketch the curve. a) r=-2 sin 0 Show All Work

A: Given

Q: dx xV2ax – x2 ах

A: This is a problem of integration. Based on the general formula we will solve the question.

Q: Tor each of the following series determine if the series conv or series convergence or divergence.…

A:

Q: Зx+2 xp- 1-25x2

A: Given

Q: A. Given: lim f(x)=-9 lim g(x)= 2 2. lim[3h(x)–6] 4. lim[f(x)- g(x)+ h(x}] lim h(x)=4 x→8 x→8 x→8 1.…

A:

Q: llowing series determine if the series converges or diverges cence or divergence. (e) Alternating…

A: We have to check the given series is converges or diverges according to the given information