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A: We have to find  for the following functionWe know that

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A: Consider To find the maximum value of  such that, if .

Q: Ex 1. Calculate the derivative i) x² + y² = 1. dy 33 dx for the following: ii) xy= x²+y.

A: To calculate the derivative  of the following.

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Q: Find the fourth degree Taylor polynomial, P4(x), for f(x) = ln(x + 1) centered at x = ( = 0.

A: f(x)=ln⁡(x+1) centered at x=0.Taylor series centered at x=a is given as f(x)=∑k=0∞f(k)(a)k!(x−a)k

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Q: Prove the followings: - 1. Vẻ - du = uva − x +aarcsin;) +C

A: To prove the following.Note: Since you have posted multiple questions, we will provide the solution…

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Q: let F(x)=f(x^7) and G(x)=(f(x))^7  You also know that a^6=12 , f(a)=3,  f prime of a = 11, f prime…

A: The objective of this question is to find the derivatives of the functions F(x) and G(x) at the…

Q: √ √u² – a² du = ½ (u√u² – a² – a²în]u + √√u² – a²1) + - - -

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Q: Carry out the indicated division and then evaluate the following integral (exact answer): +2 + 6x +…

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Q: Prove by mathematical induction that the sum of the squares of the first n natural numbers is given…

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Q: Evaluate the integral. (Use C for the constant of integration.) Sin(x+ In(x + √x-6) dx x2

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Q: Which of the following lines is perpendicular to the line (10,-6,-3)+s(1,2,-2), s ER - b.…

A: 1. Option (d) 2. Option (c) Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Suppose you sell skateboards and equipment. Grip tape costs you $2 for each foot, Each set of wheels…

A: Let G, W, B, T, and D represent the amount of grip tape, wheels, bearings, trucks, and decks…

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Q: Evaluate the iterated integral by converting to polar coordinates. √√64-x2 ' (ཏ ཏཾ ཨབྷཱ, ཨཏིཡཾ -…

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Q: d x-3 Use the Quotient Rule to evaluate and simplify dx 2x-5

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Q: Find the arclength of the curve y x2 28 -In x where 4 < x < 9 72

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Q: Find the derivative of the function. x+2x-2 y= 2 x-2x+2

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Q: Question 5 Let f(x)=√√4x+1. (a) Find the equation of the tangent and normal line to the graph of ƒ…

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Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Question 1: The answer is option a. ((10,−6,−3)+s(1,2,−2)​)Question 2:The correct answer is option…

Q: x f(x) g(x) T(X) g'(x) 3 1 9 9 6 7 4 3 3 2 -5 g(x+f(x)), x=3

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Q: Continuous Compound Interest Jesaki Bank offers a 10-year CD that earns 2.5% compounded…

A: 5.8 yearsExplanation:Refer to the attached image for the step-by-step solution:

Q: Find the directional derivative of f(x, y, z) = 23x²y at the point (5, -5, 5) in the direction of…

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A: f(x)=x(x−8x)f(x)=x2−8x3/2Using the power ruleddxxn=nxn−1

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: If you have any doubt ask me comments section Pls like this answer Explanation:

Q: dy gent of ורי זו quantity diverges,

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Q: Calculate the derivative of the following function. y = (x²+3x-2) dy dx

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Q: Calculate the derivative of the function. Then find the value of the derivative as specified.…

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Q: Find the partial derivatives of the function က် ထိ စီ ။ ။ ။ w=v4r2 +882 +7t2

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Q: If you borrow $600 for 6 months at 14% annual simple interest, how much must you repay at the end of…

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Q: Use the Product Rule to find f'(1) given that f(x)=x³ex

A: f(x)=x3ex

Q: let F(x) = f^5 and G(x)=(f(x))^5 you also know that a^4 = 11, f(a)=2, f prime of a =11, f prime of…

A: F'(a) = 880 G'(a) = 880Explanation:Detailed explanation:Understanding the FunctionsF(x) = f^5: This…