Assume that y is differentiable at every x in (-00, 00) and that for every x in (-∞, ∞0), y'(x) = −y(x). Find the following limit lim y(x) 80+x

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Q: Calculus 1 Question. Please help   Thank you

A: Ans : dxdy​=6cos6xExplanation:Explanation:

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Q: 1. a) y = Differentiate the following and simplify: 2x3. (2x2 - 1 ) 3x²+1.

A: dxdy​=(3x2+1)630x(x3+x+1)(2x3−1)4​Explanation:

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Q: Calculus One Problem. Please help. Thank you.

A: dxdy​=(5x4−10x)cos2x4+(x5−5x2−2)(−8x3sin2x4)Explanation:

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Q: base of a solid is bound by y=9x, y=36 and x=0 find the volume of the cross-section rectangle…

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Q: Solve dy = ex-y+x²ey dx

A: In this question, we need to solve this problem.

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A: Newton's Law of Gravitation can be used to show that if an object weight w pounds on the surface of…

Q: dx/dt=lnx/lnt, solve this differential equation by using integration by parts.

A: ### ConclusionThe direct analytical solution involves advanced functions beyond elementary calculus…

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Q: A. Find the equations of the intersection line between the planes 3x + y z = 2 and x-y+2z = 3

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Q: Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z = st. (a) Calculate the primary derivatives…

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Q: solve using The Method of Partial Fractions

A: x−2−3​+x−35​Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: 135. Evaluate sin x sin x + cos x sin x dx in two ways: dx, then using the Evaluation a. By…

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Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec2(4t) tan²(4t)…

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Q: y= (sin(x))6x³-8x+17

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Q: Parameterize x(y) = √√y+5y using y = t Ans=

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Q: Find the equation of the tangent line at the indicated point. R(2)=log, (222-79), z=8

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Q: x = −1 + cos(t), y = −2+ sin(t), 0 ≤t<2π . Sketch a graph of 5 4 3 -5-4-3-2-1 2 1 -1 -2 -3 -4 -5+ 55…

A: Orientation of the graph is Counterclockwise.Explanation:

Q: 3) An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)…

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Q: An offshore oil well is 2 kilometers off the coast. The refinery is 5 kilometers down the coast.…

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Q: Find the volume of the solid whose base is the equation x² + y² = 25 (a circle with radius = 5),…

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Q: I do have the answer I just need the steps please

A: Answer in detailed belowm   In case of doubts please do ask in comments Explanation:Step 1:   Step…

Q: 7) Use sun and difference formula to verify the identity cos(A+B) cos(A-B) = cos2A + cos2B-1 A-B) =…

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Q: 2x+2x+3 Consider the function (a) To use a limit and find its horizontal asymptote what must be done…

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Q: Part 2. Simplify the following Case 2 Rational Function to a single fraction: 2 - X g(x) = - 3 1 - X…

A: Horizontal Asymptote: y=2/-1​=−2Therefore, the equation of the horizontal asymptote is y=−2. Below…

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec sec³ (9x) dx

A: Given Indefinite integral as follows