Describe the graph of the equation. r = 4 cos t i – 14 sin t j + k O An ellipse in the plane z = 1, center at (0, 0, 1), major axis of length 4 parallel to the x- axis, minor axis of length 14 parallel to the y-axis. O An ellipse in the plane x = 1, center at (1, 0, 0), major axis of length 14 parallel to the y- axis, minor axis of length 4 parallel to thex-axis. O An ellipse in the plane x axis, minor axis of length 14 parallel to the y-axis. = 1, center at (1, 0, 0), major axis of length 4 parallel to the x- O An ellipse in the plane z = 1, center at (0, 0, 1), major axis of length 28 parallel to the y- axis, minor axis of length 8 parallel to the x-axis.

Q: 29 The measure of an angle 12 radians is equivalent to degrees. (A 555 B) 465 C 435 D 525

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Q: 2r-4x2-x-3 dx x- 2r 3 In Ix+ 1 +3 ln|x-3| + C +1-3 ln|x-31+ C Option 1 Option 2 2 In |x + 1| - 3…

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Q: Find the length of the curve r (t) = i + 6t°j + 2t°k, 0 <t < V1 L =

A: We will find the length of curve.

Q: For the straight line defined by the points (1,57) and (3, 87), determine the slope (m) and…

A: Solution is done in step 2

Q: (a) Use Green's Theorem to find the line integral over the simple, closed curve C : r(t) = (cos t,…

A: To use green's theorem to find the given line integral over the curve C

Q: 22. u = Vr² + s², r = y + x cos t, s=x + y sin t; ди ди ди əx’dy when x = 1, y = 2, t = 0 dt

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Q: Find curl (4z i + 5x j + 3y k). Exact number, no tolerance. curl (4z i + 5x j+ 3y k) = (i )i + ( )j…

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Q: b) S X sin xdx 0.

A: Integral by parts:∫uv dx =u∫vdx -∫dudx ∫vdx dxu=xv=sin x∫ vdx =∫sinx dx = -cos x+Cdudx=ddx(x)=1

Q: 3+ 12x4 – 7x +x³ a) lim 2л2 — За3 + х — 424 3x3 +x – 4x4* - -

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Q: Verify Green's Theorem by evaluating both integrals aN aM dy dA ду ax for the given path. C: square…

A: Application of integration

Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A: integration

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Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 1. (3xy + 3y – 4)dx + (x + 1)…

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Q: Use continuity to evaluate the limit. 16 + Vx lim 16 + x

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Q: In(1+x) -x cosx -1 1. lim x-+0 7- In(2x + 3) 3. lim x-00 In(5x -2)

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

Q: integral of 3/(x^2)+9

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Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A: Improper integral: If f(x) is not continuous at x=c where a&lt;c&lt;b and ∫ac f(x) dx and ∫cb f(x)…

Q: Evaluate the limit: r(t + h) – r(t) lim h >0 for r(t) = (t°, sint, 1) h r'(t) = (

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (5t + 6)i + tj, 0sts1

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Q: d²s = 60/E – 18 subject to the conditions that ds = 5 and s= 11 when t= 1. Find the velocity v = dt…

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Q: H.W (5) Solve the following differential equations of (3x -6xy)dx+(-3x' -2y)dy 0

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Q: The answer above is NOT correct. Use calculus to find the volume of a cap of a sphere with height h…

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Q: 3. 1- xZ dx

A: The integration of the integral is x4sqrt(1-x2), limit from 0 to 1.

Q: 4 fy 1 -3 -2 1 -1 -2

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Q: Find the global minimum of the function f(x)=2x^3+3x^2–12x+4 on the interval [-4,2].

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Q: 2. Compute Ja F · ds for F c(t) = (t , In(1+ t²), e*) for 0 <t < 1 VV, where V(r, y, z) = 4x² In(1+…

A: Find your answer below

Q: 2r³ – 4x² – x – 3 dr x² – 2x – 3

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 5…

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Q: On the axis below, sketch the graph of a function, f, which has a critical point at r = 1 4. (.. but…

A: Solved below

Q: An arithmetic sequence is given below. 10, 3, -4, -11, th term d, Write an explicit formula for the…

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Q: uences below are either arithmetic sequences or geometric seguences. For each sequence, determine…

A: Given query is to find the type of the sequence.

Q: Find the unit tangent vector T(t). r(t) = t2i + tj +4k , P(9, 3, 4) T(3) = Find a set of parametric…

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Q: (-1)"2"x" n=1

A: We will use ratio test to find radius of convergence.

Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) = (xy – 1)}…

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Q: Consider the matrixes 0 3 -9 k A = O .B = ( , 7 7 62 k is a real constant M = (A-B-1)-1 If m22 = 14…

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Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

A: To find the volume of the given solid using triple integral.

Q: Find the Laplace Transform of the following functions: a. L(sinxcosxe*} b. L{

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Q: 1. Do the integration by substitution for the following integral and find the value of definite…

A: We have to find the given integral value.

Q: What is the range of the function y=f(x) =2sin 57 A [-3,7] B B [-7,-3] В © [-7,3] D D [3,7]

A: We have to find range of give function.

Q: dy Solye the differential equation 3a2y = = -y, s.t. y (0) :

A: Topic = Differential equation

Q: (2xy+x^2+x^4)dx - (1+x^2)dy=0 the answer should be

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Q: dx 00 2 X х +4

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Q: A. Sketch the figure for analysis. Shade the needed region and draw a representative vertical or…

A: Here, the region is bounded by the curves: x=4, y2=x

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: testconuer gnce and diverg ence 2+5 3"

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Q: Find the directional derivative of the function

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Q: sion into quadratic form, ax² + bx + c = 0, and ide %3D

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Q: stimate using the trapezoid rule and Simpson's rule for et dx;n3D8 -2x+5

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Q: 2r-4-x 2-2r 3 in Ir+1+3Inlx-3|+C +1-3hx-31 +C Option 1 Option 2 2 In Ix + 1-31nlx-31+ C 2 In Ix+ 1+3…

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Q: 8 f(x, y) = y/x, P(1,2), u = }(2i + 5 j) |(2i + /5 j)

A: To find the gradient at the given point and then rate of change for the given function.