Evaluate the surface integral. JS (x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u-v, z = 1+2u + v, 0≤u≤9, 0≤ v≤ 2.

Q: Find the area bounded by Y=x²-4 and [-4,2] y=-x-2x from

A: The region bounded by y=x2-4 and y=-x2-2x

Q: Evaluate xy dx + ²dy, where C' is the rectangle with vertices (0,0), (1,0), (1,4), and (0,4) f zy³dz…

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Q: The average energy E (in kcal) needed for a lizard to walk or run a distance of 1 km has been…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. 0 T -f²v…

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Q: I Suppose that f(x, y) = at which {(x, y) | 3 ≤ x ≤ 5,2 ≤ y ≤5}. y D Then the double integral of…

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Q: Solve the ODE equation ✓² +3Y²_4Y = 4 cos 3t, where you = 1 and Y'(0) = 3

A: NOTE: Refresh your page if you can't see any equations. . write the auxiliary equation for the…

Q: 4) A box without a top is to be made by cutting equal squares from corners of a rectangular piece of…

A: Let x inches be the length of cutting square from each corner. Therefore, the reaming length and…

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 4x sin(xy)…

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Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

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Q: Use undetermined coefficients to find the particular solution to y'+2y-3y = 2 sin(t) Y(t) =

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Q: Find the tangent plane to the equation z = z = 16x + 15y + 19 X - 2x² + 3y² - 3y at the point…

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Q: Find the divergence of the vector field F div F- T

A: F→=5zcosx,3zsinx,7z

Q: What is the range of f(x) = cos¯¹(0)? A [-] 2 2 B [0, π] C [-1,1] D (-∞, ∞)

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Q: Find the surface area of the helicoid (spiral ramp) with vector equation r(u, v) = = (u cos v, u sin…

A: ∫a2+x2 dx = xa2+x22+12sinh-1(x) .

Q: nd an equation for the line tangent to the curve at the point defined by the Py at this point.…

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Q: 1. The critical point of f(x, y) restricted to the boundary of D, not at a corner point, is at (a…

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Q: 5. S (x²-5x+4) dx. Find the integral.

A: Given    ∫(x2 -5x +4)dx

Q: Find all solutions to 2 sin(0) 0 <0 < 2TT. 0 = = -1 on the interval

A: given,  2sin(θ)=-1 on interval  0≤θ&lt;2π

Q: A Ferris wheel has a radius of 33.8 feet. The bottom of the Ferris wheel sits 0.5 feet above the…

A: A Ferris wheel has a radius of 33.8 feet. The bottom of the Ferris wheel sits 0.5 feet above the…

Q: Convert the angle 3π 4 from radians to degrees. degrees

A: NOTE: Refresh your page if you can't see any equations. . the given angle is

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: The region bounded by curve y=x2 ,x=y2  Graph

Q: Question 1 Let R be the region bounded by y=x, y=2x, x=1, x=2, and I= SS. - dA. 6 y x² + y² 2 a)…

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Q: The pressure P (in kilopascals), volume V (in liters), and temperature T' (in kelvins) of a mole of…

A: PV=8.31T  dTdt=0.05 K/s, P=23 KPa ,T=305K and dPdt=0.08 KPa/s

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and…

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Q: Let F(x, y) - (5,-8y) and let R be the rectangle with vertices (0,0), (8,0), (0,2), and (8.2).…

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: Question What is lim x → +∞ I -? 10 ex -1

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Q: Starting from the point (−4, −2, −4) reparametrize the curve in terms of arclength. r (t (s)) = i+ r…

A: Arc length.

Q: Find the volume of the solid bounded by the ellipic paraboloid z = 5 + 2x² + 3y², the planes x = 3…

A: We have to find the volume of solid bounded by elliptic curve z = 5 +2x2+3y2  and the planes x=3,…

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. h'(x) =…

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Q: Find d2y/dx2 inmplicitly in terms of x and y. xy-1=2x+y2

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Q: Suppose that f(x, y) = xy. The directional derivative of f(x, y) in the directional and at the…

A: f(x,y) = xy direction vector = {6 , -4} at point (x , y) = (-6 , -1)

Q: Use Stokes' Theorem to evaluate -49 6. F. dr where C is oriented counterclockwise as viewed from…

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Q: Find the curl of the vector field F = curl F = 2+ j+ 18 k

A: The vector field is given by F→ = yx5, xz2, zy4 To determine: The expression of the curl of the…

Q: Drum Tight Containers is designing an open- square-based, rectangle box that will have a of 137210³.…

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Q: Replace the polar equation r2 = 36 with an equivalent Cartesian equation. Then identify the graph.…

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Q: Find the directional derivative of the function f(x, y) = ln (x³ + y) at the point (-2, 2) in the…

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Q: Year: Month: Date: Ex:-find the are. How Length x=y² oxy 51 Sa Su Mo

A: Arc length  = ∫y=ay=b 1+dxdy2 dy

Q: TT -S" "7 Siny dydx. 0 y X Let I= a) Sketch the region of integration. b) Setup the integral I in…

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Q: Find the volume of the parallelepiped having adjacent edges u, v, and w, where ū= = W=-4,0,-4>

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Q: Q = 3x² + 5y² 1 , where x+y=8. Minimize

A: Qx,y=3x2+5y2 and x+y=8

Q: 3 3) Find x and y (they may or may not be integers) which satisfy the condition 8x+y=40 +²y=4 and…

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Q: The gradient of f(x, y) = xy at (x, y) = ( − 1, 2) is

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Solve the triangle with the given parts. 11.20 131.6° b B = 36.8°, b = 297.3, c = 371.1 OB=37.2°, b…

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Q: If g(x) is continuous on [-2, 8] and what is the average value of the function g(x) on [-2,8]?…

A: if gx is continous on -2,8 and ∫-287gxdx=253

Q: Use L'Hospital's rule to compare the growth rate of p(x) = 8x5 and g(x) = 9x³ + x² + 7x +1. Select…

A: px=8x5 ,qx=9x2+x2+7x+1

Q: Suppose (t) = cos(πt)i + sin(πt)j + 3tk represents the position of a particle on a helix, where z is…

A: The height of the particle is calculated by the z component.So,we get the time when the particle at…

Q: Find d ſf (x + 4y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

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Q: Find dw/dt by using Chain Rule w=√x² ² + y² + z² ; x = cos(st), y = cos(st), z = s²t

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Q: Evaluate 567 12 If F(x, f(x, y, z) ds. f(x, y, z) = x² + y² + z² S: x² + y² = 9, 0≤x≤ 3, 0≤zs X

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