2. f 3xe4 dx 2. S 3æet" dx

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A: We have to find the points

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A: Explanation of the answer is as follows

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Q: 2.

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A: dsec(u)du=tan(u) sec(u) ∫cos(u) du = sin(u)

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Q: 3. 8х' + 13 2. S 3 4x' + 8х + х + 2 2

A: integration

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A: Given: I = ∫ex2+12xdx                                  ...........1 Formula: ∫eydy = ey+C

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Q: ) Find the directions in which the directional derivative of f (x,y) =4x2+sin (5 xy) at (1,0) has…

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Q: 12. A. If possible, give an example of 2 divergent sequences an and bn such that E(an + bn) has a…

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A: Euler's number, is a mathematical constant approximately equal to 2.71828. It can be characterized…

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

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Q: 3;) Find the välie of k isó that. the furnictioin %3D .kx*. .if. x 2 2. is. continuous .cvery iw…

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Q: Find an equation of the plane through (-4, 3, –8) that is perpendicular to the line x – 2 = t, y +3…

A: Given line : x-2=t , y+3=2t ,  z=-tx-21=t , y+32=t , z-1=tx-21= y+32= z-0-1 comparing with standard…

Q: arccos(cos)

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Q: 3 dx extle) Vx+4 V x+4

A: Explained below

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: We need to minimize f(x,y,z).

Q: 30. | (Зи — 2)(и + 1) du

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Q: Consider the points A(1, –3, 4), B(2, –5,2), C(-1, -4, 2), and D(2,3, –5). (a) Find the volume of…

A: We have to solve given Questions.

Q: Question Consider the graph of f' (x) shown below in blue. Submit your answer to this question by…

A: 1. How many local minima does f(x) have? Slide the black point on upper left corner of the graph to…

Q: Evaluate/Find the following integrals. 2 -3 dy 4. S 3 2 y +y 1 У

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Q: Let a = ci + jand b = 2i + 10j. Find c so that a and b are orthogona C = i

A: Given: a=ci+j b=2i+10j.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-8, 5,…

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Q: Calculus please answer a, b, c, d, and e

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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: Find the directional derivative of f at Pin the direction of a. f(x, y) = 4x* y²; P(3, 2); a = 3 i –…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Please see the answer below.

Q: y = Vx +1(3– x)* (x- 3)(5x + 1) 2/x +1 b Find the x-coordinates of all points on the graph of y…

A: To find the derivative of given function.

Q: Find the derivative of the following functions from first principles. (i) x (ii) e (ii) log (x + 1)

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Determine whether each improper integral below converges or diverges. a dx 2. S Vax – x 2

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Q: 3x cosh a dx. 6. Calculate the definite integral, Jo -

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Q: etermine the area of the region bounded by the curve y = -x2 and y=x.

A: solving both the curvesy=-x2 and y=x-x2=xx2+x=0x(x+1)=0x=0,-1at x=0, y=0at x=-1, y=-1Lower limit…