Obtain the differential equation of this family of curves. The lemniscate ² = acos 20

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A: See the details solution in below

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A: Given:  y=ln(7-x3)   To Find : Second derivative of the given function

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A: Note: After seeing the previous solution we observe that the student has demanded some more clear…

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Q: Find Vectors and Perform Vector Operations in R³ Let à = i + 27 + 3k. Find ||a||.

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A: We have to find the inverse transform of  Fs = 34πs52.

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A: Here we have to solve the differential equation.

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Q: 28. (2A + B²)4

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A: To determine the equations of tangent and normal to the given curve.

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Q: Question 9 Determine the derivative of the given function: y = ²2t Oy=t² (2¹) + 2(2¹) (t) Oy In 2(2)…

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Q: What else do you observe? Concept Check: Evaluate the following integrals: 4. f 55 5sin2x *cos2x dx…

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A: Given function:- 8x2-y2-7z=362

Q: If x² + y² + z² = 9, dz dt = dx Š dt dy dt = 4, and = 3, find dz dt when (x, y, z) = (2, 2, 1).

A: x2+y2+z2=9 dxdt=4 and dydt=3 (x,y,z)=(2,2,1)   Differentiate the given function with respect to t:…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√9-x² dy

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A: To give the definition of matrix equivalence.   T:V→W

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A: Find all critical points of T(θ)=sin2θ-cosθ for 0≤θ≤2π.

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A: The given function ft=8e2tcos3t We have to find the Laplace transform for ft.

Q: D Question 8 Given the following graph of a function. 3 2 O (2,00) 4 4-3-2-1 12345X -1- -2 -3 4 5…

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Q: Find the speed over the path r(t) = (e¹-4, −5, 4t¯¹) at t = 4. (Use symbolic notation and fractions…

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Q: (y³+kxy4 - 2x)dx + (3xy2 + 20x²y3 - ky)dy = 0 a) Solve for the value of k so that the differential…

A: To solve the given differential equation

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A: The solid is under the plane is x - 2y + z = 5 and above the region bounded by x + y = 1 and x2 + y…

Q: Find the differential of the function. y = e³x dy = =

A: We have given function  y=e3x dydx=ddxe3x dydx=e3x·ddx3x dydx=e3x·3 dydx=3e3x dy=3e3x dx

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Q: 2. Suppose a metal block is cooling so that temperature T (in °C) is given by T = 200.4-0.1t+25,…

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A: Recall: Volume of sphere, V=43πr3

Q: In Exercises 9-16 of Section 13.4, you found T, N, and K. Now, in the following Exercises 9-16, find…

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Q: Draw the angle 180° in standard position: -5 -4 -3 -2 -1 Clear All Draw: 5+ 4+ 3+ 2+ H -1 -2+ -3+…

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