Find 3x? arctan x dx.

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(8,…

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Q: (0³+ 38+ 3D+ 1)y-8sinx ylo): -/ y'l0)= 3 y"16)=5 5-

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Q: 11. To each linear factor occurring once in the denominator of a proper fraction, Adx there…

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Q: Si sin“ (3y) cos® (3y) dy 128 2340135 128 780045 O 9.64 x 10 4 O 2.89 x 10 3

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Q: Solve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y…

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Q: Any plane passing through (-2, 2, 2) is A(x+2) + B(y – 2)+C(z- 2) = 0 : It passes through (2, –2,…

A: Solution of 3 variables linear equation is solved by using cross multiplication method.

Q: Write the standard basis for the vector space using x. (Enter your answers as a comma-separated…

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Q: 10 2. f(x) dæ y=f(x) А1 АЗ 3 5 A2 A4 7 10 (figure is NOT to scale) the area of region Al is 6 • the…

A: Given query is to find the value of the indicated integral.

Q: Evaluate the following integral using the method of partial fraction. (6x²+ 41x + 110)dx b. S (x +…

A: Given:     ∫6x2+41x+110x+2x2+10x+29dx Perform partial fraction decomposition:

Q: Part 3. Provide solution in finding the derivatives of the given function 1. y= 4x5-2x + 3x- 10 2. y…

A: Let's find.

Q: Find the area A of the sector shown in each figure. (a) 80° A =

A: Given query is to find the area of the sector.

Q: [x² In x dx

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Q: Find the integral of: * |x In(x + 1)dx 1 1 1 * In\x + 1| +x² +x+;In |x + 1| + € 5x² Inlx +…

A: Here we have to do integration by parts.

Q: х3 — 4х? 8(7x – 4) (x + 2)* x(х + 8)(х — 2) | Given: f (x) : with f'(x) ,аnd f" (x) - %3D (x + 2)2…

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Q: Fin d: ) (3x*arctan x do Evaluate: s.) dx

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Q: atical expression or equation. x is nine more than five times the one more than three times the nur

A: We have to convert in mathematical form from the given information

Q: Determine the interval(s) on which the function is continuous: 2r+ 7 212-3x-9 if x 1/2 Ox1/2 Ox1/2…

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Q: X1 – 4x, + X3 = 2 4x1 + X2 =1 Xz + 4x3 =-1

A: Since the question is asked to solve by two different method solution by one of the method is given…

Q: Determine if the following statement is true or false. The lines L, and L, are skew. L:x = 7+ 2t, y…

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Q: A В Use the method above to find the distance from the point P(-3, 1,8) to the line through A(1,…

A: Given that the point P(-3,1,8) to the line through A(1,1,0) and B(-2,3,-4)  To find the Distance

Q: M3.4 Integration by Partial Fraction Decomposition 6x-7 dx 7.J (2x+1)(4x²+1)

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1 (5* )csch- if y= (e oshS ) In Vx² +1 2 a) Find dx dy x+1 x>0. 2 x++1

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

A: Given problem:- Use Lagrange multipliers to find the maximum and minimum values of f subject to the…

Q: 1 (5* )csch dy x+1 1. (а) if Find dx x > 0. y = (ecosh S* ) In(Vx² +1

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Q: Find the vector component of v = 2i -j+ 3k along b = 3i + 6j + 6k and the vector component of v…

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Q: Determine whether the lines are parallel or identical. x - 3 y + 8 z + 7 5 y – 1 _ z + 22 4 -3 x + 9…

A: The given two lines are                 x-34=y+8-3=z+75 and        x+9-8=y-16=z+22-10 We first find…

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

A: We will use the given formula of volume to find the volume of the tetrahedron.

Q: Find* esin ¤ dx tan x csc x cos x e $in xt. - cos x e Sin x + c Option 4 Option 2 esinx + c ,sin.…

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Q: Given two planes, discuss the various possibilities for the set of points they have in common. Then…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

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Q: :- Solve the following two equations by applying the idea of Gauss-Siedel iteration. -+2y-5%=0, 4…

A: Let's find.

Q: Instructions: (1) Use Limit Laws to find the limit of each given problem. (II) You may only use…

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Q: (5* )csch x²+1 dy if Find dx 1. (a) y = x >0. (ecosh 5x) In Vx +1 )

A: Find your answer below

Q: Express the limit as a definite integral on the given interval. lim > x; In(2 + x;2) Ax, [2, 5] n-…

A: The solution is given below

Q: (1,3)

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) tan(2x) lim x→0 tan(7x)

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Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. L1 :x = 1 + 7t,…

A: If line L1​ and L 2 are not parallel and not intersecting, then this lines must be skew.

Q: Identify the open intervals where the function is changing as requested. Increasing 3 45 6 O (-3,…

A: Increasing

Q: In Pi Jinxing's dream, two curves are said to be CoRoNaViRaL if whenever they intersect, the two…

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Q: .f (x) = cos(-x) .f(x) = sin(8x) .f (x) = 2 sin(-5x) a) f'(x) = 2 sec(2x – 1) tan(2x – 1) %3D - b)…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z² (2,…

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Q: Solve the following differential equations using the method of undetermined coefficients. y" + 4y' +…

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Q: Find * In(x² + 2x + 2) dx (x + 1)² In|1 + (x + 1)²| x +1 In|1 + (x + 1)2| x + 1 + 2tan-(x + 1) +c…

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

Q: ind the directional derivative of f at P in the direction of a. r, y) = 5x°y°; P(3, 1); a = 4 i – 3…

A: Given query is to find the direction derivative.

Q: Show that the lines L1 : x = 4 – t, y= 2t, z = 5+t and L2 : x = 1+4t, y= 3 – 8t, z= 5 – 4t are…

A: Let's find.

Q: С. lim х-2 х+1

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

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Q: 1. Find the volume of the solid generated by revolving the region in the first quadrant bounded by…

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Q: Evaluate the following integral using the method of partial fraction. (2х3-3х?) dx a. 2x2-7x+5

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