Find the relative maximum and minimum values. f(xy) = 4x - 2y?

Q: The integral TT tan x sec?x dx O none of them is an impróper integral of type I that diverges is an…

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Q: Evaluate the triple integral. zy sin(yz) dV , where G is the rectangular box defined by the…

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Q: 4 mm/s when these three sides are 5cm, 4 cm sides x, y and z increase at 6 mm/s, 5 mm/s and Fig.…

A: we have to find rate of change of AC.

Q: Evaluate the triple integral. /I| ry sin(yz) dV, G where G is the rectangular box defined by the…

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Q: bounded by the graphs of the equat y

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Q: Evaluate the double integral f(r, 0) dA. -7 cos(0) r dr de 497 2 Sketch the region R. 7/2 A/2 6 2 4…

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Q: .

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Q: x* – 1 f. lim x-1 x In x sin 3x g. lim x-0

A: (f). Given: limx→1xx-1xlnx   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: FOTE: Enter the exact answer. dx dy = VT

A: A detailed solution is given below.

Q: d Calculate ri(t) · r2(t)] and d dt [r1(t) x r2(t)] first by differentiating dt the product directly…

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Q: Determine the surface area of the solid obtained by rotating y=v9-x from -2sxs2 about the x -axis.

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Q: Evaluate the double integral. 7x*sin y²dA; Ris the region that is bounded by y = x³, y = -x³, and y…

A: double integral

Q: Find div F and curl F if F(x, y, z) = x°i – 9j + yzk. - div F= curl F=

A: Divergence of a vector function F(x,y,z) is given by, div(F)=i∂∂x+j∂∂y+k∂∂zF and curl of vector…

Q: Matching Match the equation of each plane to its scalar form. x-y-2z+4 = 0 y = 2 E y-z-6 = 0 A D…

A: As per bartleby guidelines we only give first three question answers.

Q: Example 6 Video Example 0 A particle moves along a line so that its velocity at time t is v(t) = t2…

A: Given;  v(t)=t2-t-12.

Q: Find the extremum of f(x.y) subject to the given constraint, and state whether it is a maximum or a…

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Q: Evaluate JJ Xy dA, where R is the region in LA ... y = x? R 2 A) 13/7 B) 16/3 c) 18 D) 20

A: A detailed solution is given below

Q: What is the period and domain of the basic tangent function y=tan(x)? @ *E, 2n, {x€R|x= (2k + 1)m…

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Q: Find the volume of the solid that results when the shaded region is 7 revolved about the indicated…

A: Use the washer method to find the volume of rotation of the solid.

Q: Find the area of the region(s) enclosed by the curve f(x) = x°, the x-axis, and the lines x =-1 and…

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Q: find Fourier series on [0,2n] オーズ 0<x<T (12) f(x) = Tくx<2元

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Q: Question 15 1-sine Evaluate the iterated integrals J. J. p2 cose dr de̟ A 1 В) 2

A: ddθ(sinθ)=cosθ ∫rndr=rn+1n+1, for any real number n.

Q: d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly…

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Q: Verify Green's Theorem by evaluating both integrals ам | y2 dx + x2 dy dA ду for the given path. C:…

A: Solution is given below:

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

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Q: Use a double integral to find the volume of the region under the graph of f(x, y) = xy and above the…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Solving

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

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Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

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Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

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Q: Find the exact arc length of the curve over the stated interval. y = 8x2/3, from x = 1 to x = 8…

A: The expression for the arc length of the curve is: L=∫x1x21+dydx2dx   Given; y=8x23x1=1 &amp; x2=8

Q: Find the Laplace transform of: f (t) = v1+ sin t + (7t)14 + t² sin 2t

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Q: Use a double integral to find the volume of the indicated solid. 9 z = 9–2 y 2 y=2 4 X=4

A: Consider the solid

Q: Find the centroid of the region. NOTE: Enter the exact answers. (¤, g) = |(?, ?) %3D y = =? 1

A: y=x7

Q: Find the area of the region inside the circle r = 30 sin 0 and outside the cardioid r = 10 + 10 sin…

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Q: Evaluate the definite integral. i+e"j+tk)dt (e^ – 1) i – (e- - 1) j+ k O e - i+ (e" - 1) j + k 1 O…

A: A detailed solution is given below

Q: Evaluate the double integral over the rectangular region R. | 8xy'dA; R = {(x, y): -1<xs 1, - 8 syS…

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Q: Find the area of the region using a double integral. The region bounded by y = 2x³, 2x + y = 4, and…

A: To find the area of the region using a double integral.The region bounded by y=2x3, 2x+y=4, and the…

Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

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Q: Find the length of the curve, L. y? = 64 (x + 5)* , 0 0

A: The solution is given in the next step.

Q: Question 16 Use a triple integral to find the volume of the solid. The solid bounded by the surface…

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

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Q: Sketch the region enclosed by the curves and find its area. y = cos8x, y = 0, x = π/16, x = π/8

A: Given: y = cos8x, y = 0, x = π/16, x = π/8

Q: Evaluate the triple integral. xy sin(yz) dV, where G is the rectangular box defined by the…

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Q: The point (– 1, 3) is on the terminal side of 0 in standard position. The exact value of cos(0)is…

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Q: Find the area of the region inside the circle r = 12sinθ and outside the cardioid r = 4 + 4 sinθ.

A: Area

Q: The volume of a torus (doughnut or bagel) with an inner radius of a and an outer radius of b is V -…

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Q: k lim (1+†) k→∞ k

A: We have to find limit

Q: Jse a double integral to find the volume under the plane z = 38x + yand over the rectangle R = {(x,…

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Q: Question 14 Find the area of the surface that is generated by revolving the portion of the curve y=…

A: Given: y=x2⇒x= ±y Since , we are dealing with x=1 to x=2, we will take the positive value Thus, x=y…