Compute the flux of the vector field (5,- xy), out of the rectangle with vertices (0,0), (2,0), (2,3), and (0,3) Calculator Check Answer

Q: Solve the initial value problem: 1 f'(x) = = + tan(x) X f(1) = 20

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Q: Give a geometric description of the set of points whose coordinates satisfy the given conditions. x=…

A: x=-4,z=-8 we have to find the correct option.

Q: Express the vector as a product of its length and direction. 21+4j+4k O A. 6 OB. 6 18 + gi+? OC.…

A: The given vector is  2i + 4j + 4k we have to express vector as a product of its length and…

Q: If f '(x) = x7, what is f(x)? (Remember the constant of integration.) f(x) =

A: given, f'(x)=x7

Q: Let v = (2, (2, 3, 2) 3,

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Q: Find the equation of the tangent plane to ƒ (x, y) = 7x² − 14xy + 14y² having slope 14 in the…

A: Given, f(x,y)=7x2 -14xy+14y2

Q: 1. Find all the first partial derivatives of each function a. f(x,y)=(2x-y)* b. 3/2 f(x,y)=…

A: (a) f(x,y)= (2x-y)4 (b) f(x,y)= (4x-y2)3/2  we have to find first partial derivative

Q: 1. Suppose F is a function with F(0)=10 and F'(x) given by the graph below: Use the Fundamental…

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Q: 5 find the equation of the tagent. plane to the Surface x²y-y²x+3=2² at (1,-1, 1)

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Q: D) -ex (4x³-9x² +7x-3)+e-*(12x2 +18x + 7) + C 9x² + 7x+3)-e-*(12x² 18x-7)+C (2) The value of fo…

A: Note:- As per your demand we solve question 2 for you  ∫02πsin5xcos3xdx

Q: 口 3. Part 3 - Discussion Question If you were given a conic section in general form, how would you…

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Q: Find the surface area of the part of the plane z = 2 + 7x + 4y 2 2

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Q: Find an equation for the level curve of the function

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Q: Use Laplace transforms to solve the where

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

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Q: Given f(x, y) = sin(x + y) where x s5t², y = 5s-2t. Find Commod f₁(x(s, t), y(s, t)) = ft(r(s, t),…

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Q: 11) Find the smallest number n of terms needed to obtain an approximation of the series 5 K4…

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Q: A 10-ft ladder leans against a house on flat ground. The base of the ladder starts to slide away…

A: Let the distance of bottom of ladder from the house=x Let y be height where top of ladder reaches…

Q: tered at x = 0 and then give the first 5 nonzero terms of the power serie f(x) = T 9x8 + 1 T (Give…

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Q: Find the derivative in problems 1-16. 1. y = tan 2x 9. y = x tan x 13 W = sin A tan 2A 4. y = 9 cot…

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Q: Find the average value of f(x)= cos x over the interval The average value is. (Tyne an exact answer…

A: The given function is f(x) = -cosx     We have to find the average value of f(x) over the interval…

Q: What is the derivative of f(x)=sec^-1 (e^x)?

A: fx=sec-1ex

Q: 1. Explain using the difference quotient how derivatives from first principles provide us with the…

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Q: 3. (D3 + 4D24 9D + 10)y = -24e* when x = 0, y = 0, y' = -4, y" = -10

A: D3+4D2+9D+10y=-24ex

Q: 10 9) Σ (7m – 12) m = 1

A: To evaluate the following series by using the appropriate formula. ∑m=1107m-12 Note: Since the…

Q: 1. Graph the polar equation r = 1-2 cos(0) on the below curve न 5T 7K 6 37 5 T 23 4T w K|N 2 37 to 2…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the area of the part of the plane with vector equation r(u, v) 0 ≤ u≤ 1,0 ≤ v ≤ 1. (9 + v, u -…

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Q: Where does 480 come from? 20*24?

A: Given that,T(t)=20+5cos(π12t)We have to find the average temperature over (0,24) hours.

Q: The part of the surface z = 4 + 3x + 2y2 that lies above the triangle with vertices (0, 0), (0, 1),…

A: To find the area of the surface that lies above the triangle with vertices (0,0), (0,1) ,(2,1)

Q: Find the equation of the tangent plane to the graph of G(u, w) = sin (uw) at the point (,1). (Use…

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Q: Y Suppose that f(x, y) = 1+x at which {(x, y) | 0 ≤ x ≤ 2, - x ≤ y ≤ √√√x}.

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Q: 4 Find the direction where f(x, y) = xey z and that rate of increas Clital) to increases the Mogu at…

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Q: uppose f(x) > 0 and continuous for all z except z = Select the integrals that will definitely…

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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: Let P be the plane in space that intersects the x-axis at 2, the y-axis at -2, and the z-axis at -4.…

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Q: Given the function f(x, y) = x³ + 4xy + y² - 4x + 16y + 10, find all points (x, y) such that fx(x,y)…

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Q: Find an equation for the tangent to the curve at the given point. 6) h(x) = t3 - 25t-1, (5, -1)

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Q: Write an equation for each polar graph. TT 7 T 6 A. r= 3cos80 C. r = 3sin80 27 3 4T 3 FIN 2 3T 2 71…

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Q: 3.Sketch the graph of a.f(x,y)=6 b.f(x,y)=6-x c.f(x,y)=6-x-2y d.f(x,y)=6-x^2 f(x,y)=x²y+√y

A: Here we have given a function: f(x,y)=x2y+y Now, to graph the equation f(x,y) = 6, we can set the…

Q: Find the curl of the vector field F = (4y cos(x), 2x sin(y)) curl F = Calculator Check Answer

A: F¯=4ycosx, 2xsiny

Q: Find the tangent plane to the surface z = cos(6zy) +2³+7y at the point (1,0). (z = cos(6xy) + x³ +…

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Q: Find the second derivative. 21. y = 3 tan x

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Q: T(0) = r(t) = esti + cos(t)j- sin(2t)k, P(1, 1, 0) Find a set of parametric equations for the…

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Q: A company's marginal revenue function is MR(x) = 700x−1 and its marginal cost function is MC(x) =…

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Q: Convert the angle 315° to radians. Give the exact valu and use pi for π.

A: Given angle θ=315°

Q: 1. Let f(x,y)=x²y + √y Find each value a.f(2,1).b.f(3,0).c.f(1,4)

A: We have to find the value of the function for the given points, f(x,y) = x2y + y points : f(2,1)…

Q: Let u = (a, b, c) and v = (7, 8, 9). If u is parallel to (1, 0, -1) and the projection of u along v…

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Q: з Σ (-1)^ hai боu итиеть n ди

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Q: y" — 5y" — 14y' = (2x - 1)e-29+ s

A: y"-5y"-14y'=(2x-1)e-2x-9+sin7x -4y"-14y'=(2x-1)e -2x -9+sin7x

Q: Find an arc length parametrization r₁(s) of r(t) = (eª sin(t), eª cos(t), 7et) . Assume t(s) = 0…

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