Find the length of the curve 7 (t) = (cos(3t), sin(3t), 2t) for – 8

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A: We use circular ring method.

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A: Given query is to find the area of the shaded region.

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Q: dx 2. To evaluate | by trigonometric substitution, we let (5 – 4x – x - A. x+2= 3tane B. x+2= 3sine…

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Q: 4) Find all values in the interval [-27,27]at which the graph of f has a horizontal tangent line.…

A: topic- functions and derivatives

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A: The given function is  z = f(x,y) =x cos(xy)

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Q: For which value of x is the function f(x) = X - 4 undefined? 2х - 8 O.4 04 1/2

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Q: Find two other pairs of polar coordinates of the given polar coordinate, one with r>0 and one with r…

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Q: The integral of the given function sin³x cos x dx is equal to а. 1/3 b. 1/4 с. 1/5 d. 1/6 e. None of…

A: To evaluate: I=∫0π2sin3x cos x dx

Q: The differential equation (x²y-2x- 3)dx+ 2dy=0 O Linear in y Linear in x O Homogenous O Exact

A: Given a differential equation

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A: Given problem:-

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A: To find out f'(x) and f"(x).

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A: To Find : Values of the given functions.

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Q: Find V × (V × F) if F(x, y, z) = 5xyj+ 10xyz k. V × (V × F)

A: As we know that; If F→=F1i+F2j+F3k then ∇×F=ijk∂∂x∂∂y∂∂zF1F2F3 Given: Fx,y,z=5xy j+10xyz k

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Q: EXAMPLE 1: Consider the graph of the function f given below. Using the given graph, determine if the…

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Q: 5) Find the unit vector in the direction of v = 2i + j+k 1 - i+-j+ d) i+j+k 1 1 j+ V5 а) V5 k b)

A: We can solve this as follows:

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Q: If f(x) = (x2 + 5x + 8)*, then f'(x) = f'(5) =

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Q: 7) For each set of parametric equations, eliminate the parameter and find a corresponding…

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Q: dy 1- y}

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

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Q: y =x und y = x+2 ... evolve the area about the line x 3. Using cylindrical shell method, the volume…

A: The cylindrical shell method gives the ,Volume on revolution about a line is given by…

Q: 5. For vectors given the vectors v =(-4,-3) and w (-1,-1), find: (a) Sketch, v+w below. Find its…

A: We can solve as follows

Q: Evaluate the following Integrals: sin(4t) – 3 sin(2t)² dt 5 Vsech(4x) tan (4x) dx 1. 6. 7. sinh 3y…

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Q: 12 (25x – 46x' + 3)dx J-12

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Q: 12 Let y24xー4x+3 le) Find the eauetion.of the tangent Iine to the graph of the fuuction att x-2; O…

A: We have to find tangent line

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A: Given query is to find the solution of the expression.

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Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

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A: Given query is to find the velocity components.

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Q: The equation of the ellipse that has its center at the origin with focus at (0, 4) and vertex at (0,…

A: The ellipse has its center at the origin with focus at 0,4 and vertex at 0,7

Q: 1 Σ 'n² +1 ln + 30 1 4 + 9 27 81 243 729 8 16 9

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Q: Differential Equations Please answer as soon as possible, i'll upvote (a) Find a particular solution…

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Q: dy 4 V -1

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Q: 10. By trigonometric substitution, we can transform dx into x*V4 - x2 A. Ssi'e sin ede В. 1 1 С. 32J…

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