Find the centroid of the region bounded by the graphs of 512 y = x, x = and y = 16. NOTE: Enter the exact answers. (T, J) = |(?, ?)

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A: Use the given formula and find the required expression.

Q: Find the inverse of the function. f(x) = 9-2x^3 f^-1(x) =

A: THIS QUESTION CAN BE SOLVED USING THE CONCEPT OF INVERSE OF FUNCTION.

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Q: z = 16 - x2 - y2 10 -8 1768 46 8

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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.

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Q: SAQ 4.1 Taylor's Theorem Name: Year & Course: Date: Instructor: 1. Find a Maclaurin series expansion…

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Q: Find the approximate area under the curve of f (x) = x< +1 from x = 0 to x = 2, using 4…

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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

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Q: If e is an angle in standard position, Cot(@) > 0 and sec(e) <0, then the terminal side of 0 lies in…

A: Trigonometry

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 area of the region bounded by the graphs of f (x) = x³ and g (x) = x. (A) 1 c) 0.5 3.

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

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Find the volume of the solid that results when the shaded region is 3 revolved about the indicated…

A: The region is bounded by y=3x2 and y=3x3 from x=0 to x=1 revolved about x-axis.

Q: a 0 0 0 0b0 0 0 0 c 0 0 0 0 d Using cofactor method, prove that det M = = abcd

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: Let R be the region shown in the accompanying figure. Fill in the missing limits of integration. y =…

A: Let's find.

Q: dx a sin x+b cos x

A: Given problem:-

Q: Find the area of the region inside the circle r = 12 sin 0 and outside the cardioid r = 4+4 sin 0.…

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Q: xe*y dy dx

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: We have to find the volume by shell method.

Q: If 0 =. then sec(8) =1 (Write your answer in the simplest form, use fractions whenever applicable

A: Explanation of the answer is as follows

Q: r=1+ 3sino

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Q: Calculate the derivative of 2t – 1 > t + 2 r(t) =< 3t – 5, 2t2 + 5t + 7,

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Q: Evaluate the line integral (4х + 5у)dx + (За — 6у)dy along the - curve C : x = 10 cos t, y = 20 sin…

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: Vector equation of a line passing through P(a,b,c), Q(p,q,r) is given by,…

Q: Find the area of the region bounded by the graphs of f (x) = x° and g (x) = Xx. A 1 в) 4 0.5 D 3

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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: Question 11 Find the approximate area under the curve of f (x) =cos from x = 0 to x = Tt, using 4…

A: We have to find it from Trapezoidal rule.

Q: Find V· (V × F), if F(x, y, z) = 7e2*i+9xe³j – e=k. V · (V × F)

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Q: - x)dx 1 X 2 х +x+1

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Q: Find the area of the region that is enclosed by the cardiod r = 12 + 12 sin 0.

A: form a integral then solve

Q: True or False, and give a short reason: (a) If a function is differentiable, then it is continuous.…

A: Given problem:- True or False, and give a short reason:   (a) If a function is differentiable, then…

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Q: Evaluate the double integral over the rectangular region 4(a sin(y) – y sin(æ)) dA; R= {(x,y) : 0 <…

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Q: V4-x² c 3-x²-y² x dz dy dx J_5+x²+y² A 128/15 B 16/89 23/6 D) 6

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Q: 1. Set up the following improper integrals by definition. sin(x) dx 22 — За — 4 а. xe dx с. 4 et b.…

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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: Find the area of the region enclosed by the rose r = 18 cos 30. NOTE: Enter the exact answer. A = T

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Q: given point. Function Point f(x, y, z) = V x2 + y2 + z² (10, 3, 9) %3D Vf(10, 3, 9) = Find the…

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Q: Question 8 sine 1/2 I r cos e dr de. Evaluate the iterated integrals J. (A) 1/6 (в) 1/2 (D 11/9

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Q: Consider the following functions. f(x) g(x) 8 sin x %3D = 8 cos 2x -

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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: Given

Q: (b) A spring exerts a force of 4.2N when stretched 0.7m beyond its natural length. How far beyond…

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Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

A: Given:          Curve y=2x2+10                     y=4x+16

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = Y, (1, 5, 5) %3D…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point.   f(x, y) =…

Q: c. lim G)3-* - 1 X-3 2

A: Since you have asked multiple questions in a single request we would be answering only the first…