Find y' and y". y = ln(x + √6 +x²)

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A: Use laws of surds and indices

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Q: Use logarithmic differentiation to find dy dx y = (x + 1)(x-6) (x - 1)(x+6) dx X>6

A: By using logarithmic differentiation to find dydx.y=x+1x-6x-1x+6, x>6

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Q: dy Find Do not simplify. dx (a) cos (x + √y) + tanh ¹(sin²x) = ln 3 + y sech - x²

A: we need to find out the dy/dx.

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Q: Suppose that f(5) = 5,ƒ'(5) = 2, g(5) = 5, and g'(5) = 5. If F(x) = (fog)(x) and G(x) = (gof)(x),…

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Q: Q is the region bounded by the graph of v(y) = 5y, x = 2, and y = 0. Find the volume of the solid of…

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Q: Suppose that f(x, y) = y√³+1 on the domain D = {(x, y) |0 ≤ y ≤ x ≤ 5}. Then the double integral of…

A: NOTE: Refresh your page if you can't see any equations. . from the figure, we can write the limits…

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Q: 23. Find a formula for the inverse function f-¹ of f(x) = 9x+6

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given ::drr×100=4%dhh×100=5%V=πr2h

Q: 7. Find all numbers, c, that satisfies the Mean Value Theorem for f(x) = x³ on [1, 4].

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Q: If f(x) = 7 sin x + 10 cos x, then f'(x) = f'(3) = (round to 3 decimal places)

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Q: Solve the following equation, clearly stating all real roots: 3x + 5x²-13x²-x+6=0.

A: As per bartleby guidelines we only give first question answer.

Q: (r)3$2-4 1-= 4

A: Given differential equation:- x4y'=-x3y-cscxy

Q: Given that; f(2)=2, f'(2)=3 g(2)=6, g'(2)=4 Calculate the following (fg)/2= (f/g)'(2)= (g/f)'(2)=

A: Please see the below picture for detailed solution.

Q: Consider the function f(x) = 3x³ + 5x2 +15. For what values of k does the Intermediate Value Theorem…

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Q: Solve the following DE: (1+ y² + xy²) dx + (x²y + y + 2xy) dy=0 O 2x+y²(1+x)² = C O 2y² + x²(1+x)²=c…

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Q: What is the general solution of the given equation, cos(x + y) + 2x + (cos(x + y) + 4y)y' = 0 O A.…

A: solution of differential equation

Q: 3. [xcsc()-y]\]dx + xdy = 0 Answers: In = cos(x) X

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Q: S S cos(x)√9+ cos²(x) arcsin (y)

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Q: Solve the following DE: (x²+1) dx + x²y² dy=0 Oxy³ = 2(1+Cx+x²) Oxy³=3(1+ Cx-x²) O xy2=2(3+…

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Q: X Let A(x) = f f(t) dt, with f(x) as in figure. -1 2 10 0.5 1 1 I 1 1 1 L I 1 I I LLL 1 1 1 1 1 1 1…

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Q: Calculate the gradient of f(x, y) = xy at (x, y) = ( − 2, 2).

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Q: Given that lim f(x) = -6, lim g(x) = -9, lim h(x) = 7, find the following limits 24+00 8418 2448…

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Q: f(x) = x²(x

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Q: 2-X 1 2 8 15 × 2 X × 3 X 292513 || || ||

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Q: Determine all vertical asymptotes of the graph of the function. (Enter your answers as a…

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Q: Given: y' + y = y²(cosx - sinx)and y(0) = 2, Find C OA.0 OB. 1/4 O c. 1/2 OD. 3/4 OE. None

A: Let's solve given diffential and find constant C.