Find the following limits: 1 1 5+x 5 x a. lim: x-0 b. x²+1 lim x-1- |x-1| C. -2x lim x +∞ √9x²-3

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Q: dy 2) Consider the equation 6xy+sin y = x. Use Implicit Differentiation to find dx The correct…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: 38. n=1 n-2 10n + 5

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Q: v = fb an V (x − 3)(x x= y₁²³-4y+3 чуте x = 3 X b 2₁₁ × [ f(x)] dx 29 x= 1x 2 y

A: v=2π∫13y(1+(y-2)2dy v=2π∫13y(1+y2-4y+4)dyv=2π∫13(y+y3-4y2+4y)dy

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A: A mold grows at a rate that is proportional to the amount present. Initially there is 5 oz of this…

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Q: the distance between points P (5,-4) and R (-1,4)?

A: Given query is to find the distance between the points l.

Q: Tim √x-2 X-74 X-4

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Q: plot 1 2√x+y + 1 2√x-y

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Q: - If f(x) = 4x² – 20x + 21, evaluate_lim_f(8 + h) − f(8) h→0 h If an answer does not exist, enter…

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Q: 1) Eliminate the constants from the following equations: y = x² + C₁e²x + С₂e³x y' = 2x + 2C₁e²x…

A: NOTE: As per our guidelines, I have solved the first problem. If you want solutions of rest, kindly…

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Q: Q1/ Find of the following functions de 1) y=²-1 and x=21 +3 3) y=e* cos2x 2) y = sin(1+tan 2.x) 4)…

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Q: 2 (2xy-3x²) dx + (x² + 2y) dy = 0

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Q: S+4 (s²+4s+8) 10. L-1 solve using inverse laplace

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Q: 3x Solve for the complete solution of the differential equation: y" — 6y' + 9y = e³x Inx. What is…

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Q: Given F (x) = ſő e³¹ dt, what is F'(x)? So

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Q: Find dy dx 14.) y = x¹ - 7x

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A: First we find equation of given function. Given function is a straight line.

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Q: se the graph of y = f(x) below to graph the function = f(x + 1)-3 -5- Y

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Q: Q3/ Use the l'Hopital's rule to find the limits 1-sine 3) lim 8-π/21+cos20

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Q: True or false? If lim(xn) = x and lim(yn) = y and for all n, xn < yn, then x < y.

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Q: 4. y = log2 (5x³ - x² + 1)

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Q: 2. Divide 20 into two parts. Find the two positive numbers if: (a) their product is a maximum; (b)…

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