Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y = 0. A. O OB. 1 O C. 1/2 O D.-1

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Q: 2. In y = C₁ + C₂x

A: ln y=c1+c2 x

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A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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Q: 22. (e¹ + y) dx + (2 + x + ye³) dy = 0, y(0) = 1

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Q: Question 1 Evaluate: lim-3²+x-6 O None of the choices -00 O(meaningless) ||2||+3 O ∞ O undefined

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Q: 26. 1 (₁7) + dy - 2xy) d + cos x - 2xy dx = = y(y + sin x), y(0) = 1

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Q: f(x)=(lnx)^2 f′(x)= f′(e^2)=

A: Topic- Derivative of a function We are given, f(x)=(ln x)2 We know that ddx(ln x)=1xddxxn=nxn-1

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Q: find the distance d between the points P1 and P2. P1 = (5, - 2); P2 = (6, 1)

A: Given data:- The distance d between points P1 and P2. Here, P1 = (5, - 2) P2 = (6, 1)

Q: determine if it diverges or converges 3. n Σ (Use Integral Test.) e2n n=1

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Q: Given the function: f(x,y) = ex sin y + e cos x. Find fx fxy, fxxy, fxyyx

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Q: If f(x) = x5(4x + 5)6, compute the first and second derivatives of f(x). f'(x) = f"(x) =

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Q: 1 ... 1-2012 0 ( ਜੰਤਰ – () ({ ) = A =) (9) = A =) ( ) = A 0 ({ ) = A ¤ (1) +2 Determine the…

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Q: Entered 1-4*t*[e^(6*t)] The answer above is NOT correct. Find the solution of the differential…

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Q: Evaluate the limit of the function as x approaches zero from the left (0): lim, 0- 00 01 O None of…

A: To evaluate: limx→0- -sin(2x)1-cosx ⇒limx→0- -sin(2x)1-cosx = limx→0- -2sinxcosxsin2x1+cosx⇒limx→0-…

Q: Let f and g be functions such that f(8) = 34. f'(8) = 3. ƒ(34) = 16. f'(34) = −6. g(34) = -29.…

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Q: 4. y = ln 5. y = (x²+3)² x³√√x²+1 e3x ex +1 (use property of logarithms)

A: Given; 4) y=ln [(x2+3)2/x3sqrt(x2+1)] 5)y=e3x/(ex+1).

Q: In Exercises 7-10, determine from its graph if the function is one-to- one. [ 3 - x, x -3 9. f(x) =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…