Need help solving this USING MATHEMATICA (done in Mathematica using commands): Given a solid described by S = {(x,y,z)|0<=x<=4-y^2, -2<=y<=2,

Q: Graph the function. 10) y = sec (2x - )+ 2 A) B) 3n x 2 C) D) Зл х 2.

A: graph the function

Q: nter the exact answer. Im z? dz

A: Given, the vertices of the triangle are 0, 2, 2i.

Q: dz at the point (3,2, 1), where z is defined implicitly by the equation z +z²x² – y = 8 Calculate dx…

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Q: Evaluate L₂Lova (4-3²) dydx -√4-x² by using polar coordinates.

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Q: Use cylindrical coordinates to show that 3 /9-x2 9-x²-y² IIT -3 0 x² dzdy dx = 2437 4

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Q: ABC is rotated around the line x=0 to produce a solid. What describes the shape of the solid?

A: While rotating the triangle around x=0 it becomes a cone

Q: F = 5x45 i + ev6 jl and Clis the quarter of the unit circle in the first quadrant, traced…

A: Given, F→=5x45i^+ey6j^, and C is the quarter of the unit circle in the first quadrant. We have to…

Q: 1. Use a change of variables to evaluate ſc ¡f cos(x) dA where R is trapezoidal region with vertices…

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Q: Use the parametric equations of an ellipse, x = 5 cos(0), y = 3 sin(0), 0 ≤0≤2π, to find the area…

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Q: Suppose you are ciimbOing a hiii wnose shape is given by z = 1000 – 0.005x² – 0.01y², where x, y,…

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Q: 21. Let Sech u = 3/5 , determine the values of the remaining five hyperbolic functions.

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Q: Convert to standard from and give the center and radius: x^2+ Y^2 - 2x +6y - 1=0

A: x-h2 +y-k2 =r2 (h , k) is centre and r is radius .

Q: Show that (0, 1) ~ R.

A: We need to show that the open interval (0, 1) and R( the set of real numbers) are equivalents. The…

Q: If the largest of 89 consecutive integers is 327, what is the smallest?

A: It is given that largest to the 89 consecutive integers is 327. We need to find the smallest integer…

Q: x y ● = Find the dot product of 1 18 0 — -2 and y = 1 2 4 ●

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Q: baphress -4i in esponenial form reio the Qunge OLOC2TI in

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Q: Find a parametrization of the line in which the planes x+2y+4z=-4 and 2x+3y+6z= -7 intersect. Find…

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Q: Evaluate y ds, C: I = t", y = t, - 2<t < 1

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Q: d. P = 4x1 – 2x2, Q = 2x1 + 6x2; D is the interior of the ellipse: x1 = 2 cos 0, x2 = = sin 0, 0 E…

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Q: - Find a formula for the function T(x, y, z) of three variables that gives the square of the…

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Q: Q2: A cube of edge 24mm is resting on the top of a frustum of cone of base diameter 60mm and top…

A: We are asked to draw the isometric view of the solid.

Q: Rotate the point (2,5) by (3/5,4/5) around origin (0,0).

A: Given:  point A2,5Rotate by 35,45 around origin 0,0.…

Q: Find y'(0) and y"(0) from the following table ofvalues: X 0 1 2 y 4 8 15 3 4 7 6 5 2

A: From the given table upper digits are values of X and lower digits are values of Y(X).

Q: I need a 3d sketch of the equation  Z=x+xsiny+xy

A: z=x+xsiny+xy

Q: The parametric equations for x y3-4 when 0s0s2n are: X-COs X-COS y-sin x-2cos30. y-25ie30…

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Q: 1 in 1in y 1 in 3 in 1 in X

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Q: [ 64–x² 64-x²-y 2x? dzdydx. Use cylindrical coordinate to evaluate La LIe4-r2 So

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Q: Convert x = = ln(2t) and y = 1² from parametric to rectangular form. 2

A: Given,  x=ln(2t) and y=12t2

Q: d the polar coordinates if (x, y) = (-√3, 1), r≥ 0, -2π < E

A: Given query is to find the polar coordinates.

Q: Find curlF for F = xyz?i+ x*yz?j+ x*y?zk.

A: Given, F→=xyz2i→+x4yz2j→+x4y2zk→ Used formulas, ∂∂xxn=nxn-1

Q: d the distance between the point (2, -4, 3) and the plane 5x – 2y + z = 10

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Q: A line intercepts the x-axis at x = 3 and the y-axis at y = 8. What is the equation of the line?

A: We want to find the equation of line.