The given curve is rotated about the y-axis. Find the area of the resulting surface. y = √√√x, 3≤ y ≤ 5 Need Help? X Watch It

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A: The linear operator that annihilates anxn+an-1xn-1+....a0 is Dn+1 The linear operator that…

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A: Here we have to use the concept of gradient

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A: ∫tan8xcos9xdx

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A: The Solution is given below

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Q: the equation of the tangent line to the graph of the function f(x) = √√4x³ + 5 at V

A: Topic:- application of derivatives        Slope of tangent line is first derivatives of curve at…

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A: Topic:- application of integration

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A: 1f(D) eat = 1f(a)eat .

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We have to find a linear differential operator that annihilates the given function.

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Q: Find the centroid of the region bounded 1 y = 6 sin(x), y ==x, and x = The centroid is at (x, y)…

A: The solution is given below

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Q: Find the function f(x) such that f'(x)=e^(3x)-6x+2 and f(0)=1. Thank you.

A: We need find the function f(x) such that f'(x)=e3x-6x+2 and f(0)=1

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Q: Identify the type of solution for each problem and solve for the general solution. Choose the most…

A: To identify the type of solution for the given problem and to solve for the general…

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Q: 2 0 The Integral ²₁ g(x, y) dydx can be 1-x written as: Select one: 2 O S-²₁ ₁²₁, g(x, y) dxdy 1-y 0…

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Q: (5) Use the first derivative test to classify the critical numbers of the function s(r) = 2¹-4r³+17.…

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Q: Find the general solution of the given second-order differential equation. 20y" 11y' 3y = 0 y(x) =

A: The given differential equation is: 20y''-11y'-3y=0   So, we can also write as; 20D2-11D-3y=0 The…

Q: 2e³y - ²x + 2y - 4

A: We will find the critical points.

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A: Since multiple subparts are asked, I am answering first 3 subparts

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Q: adder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: The population density of a city is approximated by the model f(x, y) = 2000e-0.01(x² + y²), x² + y²…

A: This is a problem related to double integration. Please follow the general procedure given below.

Q: Find div(F x G) = V. (F x G). F(x, y, z)= i + 7xj + 8yk G(x, y, z) = xi - yj + zk

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Q: Question 17 V -2 8- 7 16 16 6 5- 4 3 رها را 2 1 -4 -7 1 > V V 2 3 4 5 Find an equation for the graph…

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Q: wwww To find the slope of the tangent line to y = ln(x²) at the point (1,0) we must find the…

A: Recall: Slope of the tangent line

Q: Find the smallest number n of terms needed to obtain an approximation of the series 10 -6 n = k=1…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = 8x-4xy+3y,…

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

A: Find roots of the equation and then go ahead

Q: EX: Show that d² = 2πi where c is a unit § Z circle. C:1Z1 =1 Sol: ie Z= re io dzir e do 24 io ixe…

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Q: Is using the Quotient Rule equivalent to using the L'Hospital's Rule? Explain. Please use clear…

A: We have to explain, using the Quotient Rule equivalent to using the L'Hospital's Rule.

Q: Let the function be f(x)=-log(base3)X. Use the properties of the reciprocal of a function to graph…

A: We have to find the reciprocal of given function.

Q: (d) If the stone is thrown downward with a speed of 5 m/s, how long does it take to reach the…

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Q: y² = 8x,x=2, AOR = Y AXIS

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Q: 7. Determine the intersection, if any, of the planes with equations x +y-z + 12 =0 and 2x + 4y - 3z…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: Determine whether the given set of functions is linearly independent on the interval (-∞, co). f₁(x)…

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Q: the artery, Artery = distance of dv dt x mm per sec per yr R ne blood from the center of the artery,…

A: topic:- application of derivatives

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Q: Given a = (5, 10) and p = (1, 3), find – ả + 4p. 10 - a + 4p =

A: a→=<5,10> and p→=<1,3>

Q: 4. (x-1)(2x³+2x²+3x+2) dx x³ (x+1) r 5. csc ³0 de

A: We have to integrate question no 4 and 5.

Q: The equation implicitly defines z as a function of t. Find dz dt 11 dt cos (3 z) = -8

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