4) If y = 2√x - 2 tan-¹ √x, then y y' = -1 1+x²

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A: Given

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A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

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A:

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A:

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A: ∂∂xtan-1x=11+x2 Note : As per our Guidelines , we can solve first question. Please repost remaining…

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A:

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A: The solution is given in the next steps.

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A:

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A: L’Hospital’s Rule: Suppose that  limx→a f(x)g(x)=00  OR  limx→a f(x)g(x)=±∞±∞ where a can be any…

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A:

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A: Given problem:- f(x)=√x + 5

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A:

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Q: S₁ (6x³ +11x² - 4x) 18x² +22x-4) d dx -3/5 C.

A: The given integration is: ∫016x3+11x2-4x-3518x2+22x-4dx To find the value of the integration.

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A: see below the answer and calculation

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A: We have to find out solutions

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A:

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Q: 1. Write a formula for f g h 2. Find the value of x [2x 31[¹3] = .f(x)=√x+1, g(x)=(x) -

A: 1) The given functions are: f(x)=x+1, g(x)=1x+4, h(x)=1x

Q: r3 + y = Ty, then y = 32 3» ყ passos " 1 — 34 + ყ 3.72 O x - 3x² + y 3y² O 32 — y — 3g2 - lf

A: Given

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A: Solved below.

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A: We are asked to translate the given graph.

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A: y=cos x

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A: In this question, we want to know that in how many years the population will be four times using the…

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A:

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A:

Q: Solve the differential equation. 11.    ( 2xy – tan y) dx + (x2 – xsec^2y) dy = 0

A: The given differential equation is; (2xy-tany)dx+(x2-xsec2y)dy=0.

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A: Topic = Derivative

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A:

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A:

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A: Let's find number of groups can be formed.

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A: We can solve this as follows:

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A:

Q: C. 1-3/5 (6x³+11x² - 4x) 18x² +22x-4) dx

A: We can solve this as follows:

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A:

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A: