Find the area of the surface. the part of the surface z = xy that lies within the cylinder x? + y² = 25

Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 8 8 + 4 sin(3x)cos(3x), sin(2x) +…

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Q: USING A- V2P de, FIND THE AREA OF ONE PETAL OF THE ROSE DEFINED BY THE EQUATION 3cin(2B)

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Q: sin2 dx. Use trigonometric groups. cos

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Q: 3) Convert the following polar equations to rectangular equations. 1 a) r = b. r=4 4 cos 0-3 sin 0

A: (a)r=14cosθ-3sinθSince, x=r cosθ , y=r sinθso,cosθ=xr , sinθ=yrsubstitute in the given polar…

Q: dx Using Trigonometric Substitution find f(e) - 3 (x² + x + 1)7 3 sec e 4 4 3 sec? e O 3 sec? e 4 4…

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Q: Differentiate the following and simplify: y= log, (sinhe") h(x)=3sinh(1–3x² )cosh(1– 3x² ) 1. 2.…

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

Q: A shot putter threw an 8 Ib 13 oz shot 62 ft, 2 in. Assuming the shot putter launched the shot at a…

A: answer is in next step

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A: Given that the slope of the tangent line at any point (x,y) on a curve is 2x. So, dydx=2x=2(x12)

Q: 2x3 – x² + x + 2 -dx = A + dx find A+B+ C+D- X+1 Consider x4 + x3 2 O 5 O 4 3

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Q: Consider the function on the interval (0, 27). f(x) = sin(x) cos(x) + 8 (a) Find the open…

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Q: Using Integration By Parts, Vx In 2x dx = u v - v du Find u v- ſv du O 3 xVX In 2x-|응Vx dx 2 xVx In…

A: We can solve this as follows:

Q: x²+4x-5 dx = Using Trigonometric Substitution : f(e)de find the new limits of integration. x+2 a = 6…

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Q: Find the two x-intercepts of the function f and show that f'(x) =0 at some point between the two…

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Q: Evaluate the surface integral / F. ds for the given vector field F and the oriented surface S. In…

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 8 e 2x dx…

A: The given definite integral,         ∫028 e2xdx

Q: Find any critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = x6…

A: For critical numbers, Put g'(x) = 0 and solve for x.

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Q: Consider the following sodium content of 26 randomly picked canned food. Propose appropriate data…

A: answer is in next step

Q: /9– x² using Trigonometric Substitution what is dx ? onsider x2 3 sec e de P 3 cos e de O 3 sec e…

A: Topic:- application of integration

Q: S x² +x+1 dx. 2 +2+x³+x 3. 2x

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Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y…

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Q: Use the information about values of the functions and their derivatives to calculate H'(4), where…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: We need to find surface integral.

Q: 2x-1 11. y = 5x+2 12. y=(5x² + 2x + 1 )3 13. y = V2x + 6 /14. y = 15. x = 2x + 3, what is dy/dx? =…

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Q: Find the integral. 21) + e3t) dt

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Q: c. r cos y = " - - log(x³ + y)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Using integration by parts, which of the following options is true of J x arcsec x dx ? (A none of…

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Q: 2x+11 3 1 dx evaluate Consider x² + x-6 dx- x+3 x-2 x+3 X-2 x-2 In +C |x+3 |(x-2)³| In x+3 |x+3 +C…

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Q: find the equation of the tangent and thhe to the Pollo wing cunve uhen x = 1 (2x2- Ja)2 normal .

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Q: V9-x² 2. dx. Use trigonometric substitution. x2

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Q: An equation for the level curve is (Type an equation.)

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Q: evaluate intelga)

A: Consider the integral  ∫1x3dx

Q: O Yes, Rolle's Theorem can be applied. O No, becausef is not continuous on the closed interval (a,…

A: Given query is to find rolle's theorem can be applied or not.

Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Set the partial fraction decomposition of the given form

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: 4. Given [2r + 5], if r2 I = -1 and at r = 2. If discontinuous, classify the type of a. Discuss the…

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Q: Find the area bounded by the curve y = 4x - x² and y = 3. Answer:

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Q: Find the average value of f over the given rectangle. f(x, y) = 2x2y, R has vertices (-5, 0), (-5,…

A: Let's find.

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: f'(x) = cos x; y (G) = 3 %3D

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Q: Fird the area lounded by the curve: a) y=X ° and y =2x+3 aJCurve accurately drown with immportant…

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Q: Determine if the relation defines y as a one-to-one function of x. OThe relation does not define y…

A: topic - relation and functions

Q: 3. Let h(x) be a twice-differentiable function with h' (x) <0 and h" (x) <0 for all real numbers x,…

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Q: Give an appropriate response. 3) Find the limit of f(x) as x approaches 2 from the left. (-3 if x3…

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Q: dx Using Trigonometric Substitution -sin e+C express the answer in terms of x. (x² + x + 1)7 4х+2 +C…

A: Given ∫dx(x2+x+1)32=43 sinθ +C

Q: dx Using Trigonometric Substitution J- , find f(0) = (x² + x + 1)7 O 3 sec? e 4 3 sec e 4 4 3 sec e…

A: The given integral,     ∫dxx2+x+132

Q: Using Integration By Parts, x3 / x² + 4 dx = u v - v- Svau-

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Q: XVx In 2x-

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Q: Use implicit differentiation to find dy/dx. 13) 2хy - у2 - 1 A) _ у -х B) X - y C)L X - y D) – y - x

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Q: x² xp a) Integration Process b) Antiderivative c) Substitution of limits d) Computod Analycis of…

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