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Q: Sx² et* dx 1 e x (8x2 - 4x + 1) + C 16 (8x2 + 4x- 1) + C e4x 16 e4x 32 (8x2-4x + 1) + C e* (8x2 + 4x…

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Q: 18. lim x+oo 3 20. lim log,

A: Given function f(x)=log12 x we write    log10 x=  log x     and we know thhat    log10 10=1

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Q: 2.Solve bernoulli (x ^ 2 + y ^ 2) * dx - xydy = 0

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Q: Which of the following is not equivalent to tan"? 2 1- cos 0 csc 0 + cot 0 sin 8 O Option 1 O Option…

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Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

A: use the definition  of exact or non exact.

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Q: Fove that y = ln|| is a solution to 1+e-22 - xey-x² . Use the initial values x = 0 and y = 0.

A: Given query is to find the solution of the differential equation.

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Q: Prove: le* a. ſ csch x = In - |+c lex+1

A: As per Bartleby guidelines rule I am answering only first question as Both question is not subpart…

Q: Let à =, B = and Č = a) (à · B)č b) Ả · (2C) Find C)

A: A→=1,-2,3, B→=0,2,4, C→=5,-1,-3a)…

Q: 1. 9. 2

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Q: ( cos³x dx sin*x 9.

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Q: Is it log or ln that should be used?

A: You are right. There was a mistake from our end.  Here is the correct explanation: y=x3x Take ln on…

Q: tion Using Integration by parts, evaluate: S x³Vx3 + 1dx Your ancwor

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Q: 2. -7-8X-x²

A: Use substitution method to solve this integration.

Q: Differentiate implicitly to find dy Then find the slope of the curve at the given point dx 8x-9y…

A: topic - implicit differentiation

Q: 10 (vi) / 1+ x dx x2 + 100

A: The given integral,     ∫0101+xx2+100dx

Q: | cos'x cot x dx 3.

A: To integrate the given.

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Q: Evaluate using Linear Equations. v(dx/dv)=6ve2v+x(2v-1)

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Q: Which of the following is TRUE if sin 3A = cos 6B, where 3A and 6B are complementary angles? * A + B…

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Q: For what value of the constant c is the function f continuous on (- o0, 0) where S (1)² – c if y 2

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Q: dx V3+2x-x2 10.

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -9i + 80j - k v = 9i + j - k O…

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Q: (x² + y) dx – xydy = 0 O 2y = x In cx2 O y? = x? In cx? O O

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A: The solution is given in the next step.

Q: An open box is to be made from a 16 cm by 30 cm piece of cardboard by cutting out squares of equal…

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Q: S4tan3 (пх + 1)dx

A: ∫ 4tan3πx+1dx=4·∫tan3πx+1dxLet u=πx+1.=4·∫tan3u1πdu=4·1π·∫tan3udu=4·1π·∫-1+sec2utanuduLet…

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Q: 345 cos dx 1-cos24x+sin? 4x

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Q: 2. 30e-3*(1+ e-3x)5dx

A: We need to evaluate integral.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: dx

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Q: The table below shows the velocity of an object.(cm/sec) at each sec as it moves along a track for…

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Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations hat are…

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