Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

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A: Given problem:-

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A: answer is in next step

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Q: our answers.

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A: Explanation of the answer is as follows

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A: To find the solution of the given differential equation.

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Q: A B D Find the area, A, of the region enclosed by the cardioid r = 8 + 8 cos 0. 96 л 52 t 48 100 π

A: First I have written the area formula for polar curve , then draw the graph of given curve and then…

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Q: Prove the identity. sin 2, x = 1- cos x 1 + cos x Note that each Statement must be based on a Rule…

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Q: Evaluate the triple integral zdV where E is the solid bounded by the cylinder y² + z² = 64 and the…

A: Here, to evaluate: ∫∫∫Ez dV where E is the solid bounded by the cylinder y2+z2=64 and the planes…

Q: area enclosed by enclosed by the Curve Find the X = 2y² and x = 8

A: This question is based on application of integration.

Q: On Integral of Trigonometric Functions: Determine the integral of the ff. functions. 3. sec 2 (3x +…

A: To find the integration of Functions: As per Bartleby guidelines we are supposed to answer only…

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Q: If cos (2θ) = 3/5 and 0 ≤ θ ≤ π/4, find the values of i. sin (2θ) ii. cos (θ) iii. sin (θ)

A: Given, Cos2θ = 3/5 Formula: Sinθ= √(1-cos2θ) Cos2θ=2cos2θ-1

Q: . DO NOT SIMPLIFY YOUR ANSWERS. - 1. log₂ 19²( √/2x² + y) + tan(x² − x²) = sin^¹(x² − 1) + ² Find d

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Q: [₁ [6x² arcsin(x)]dx

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Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

A: We have to apply simple mathematics logic to solve the problem

Q: 2. Show that F is a conservative vector field and then use that fact to evaluate SF. dr along the…

A: We need to show F is conservative vector field.

Q: Use the formula ‹(t) = = 198 t7 k(t) : (4+121 +¹8) ²³/ = ||r' (t) x r"(t)|| r(t) = t²i+t¹¹j X to…

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Q: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

A: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² Read It Need…

A: We can solve this as follows:

Q: (-3,0) (0, -1) (-1,-2) y = h'(x) (0, -2) (3,0) c

A: Given problem:- Suppose that h(x) is continuous everywhere, with the graph of h'(x) given on the…

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Q: Integrating Factor by Inspection: 9. (x4y+)dx + xy³dy = 0

A: Let the differential equation is of the form Mx, y dx + Nx, y dy = 0  ...........(1) If Mx+Ny≠0 and…

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Q: Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the…

A: To find out the volume of revolution.

Q: Find the differential dy of the given function. sec² x dy Read It Need Help?

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