2. If y = find the differential dy. Hence, estimate the value of 1 + (1.023 1 +

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A: We will find the coordinates in polar form.

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Q: Suppose we want to evaluate the following indefinite integral -53z? + 98z +172 dr (z – 2){(7z + 12)…

A: Solving

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A: Use l hospital rule for finding the limit.

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Q: (А) True B) False

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Q: EXAMPLE 1: Consider the graph of the funetion f given below. Using the given graph, determine if the…

A: topic- continuity of a function

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A: We have to find the limit

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A: Solve the following

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Q: o) rind all veluees of x for which fue Canveryes. for there helues of x, wnite tul fum of tue senes…

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Q: dx S 9x2+16

A: We have to solve integration.

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A: This question can be solved using the concept of limits.

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Q: pind tue indefinete integral S In(s-1) ds

A: ∫ slns-1dsLet u=s-1=∫u+1lnudu=lnuu22+u-∫12u+2du=lnuu22+u-u24+uSubstitute back…

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A: The area of the Shaded Region: the shaded zone's area is computed by subtracting the area of a…

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A: Given

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A: We can  solve 2 problems only.

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A: The given equation is dy=ex-ydx.

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A: First differentiate with respect to x then find value at x=1 and dx=-0.1

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A: On solving this we will get

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A: Here We have to use the definition of the derivative.

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A: We will solve for cos x and x.

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Q: find the area of the region bounded by y=(x+2)^2-1, the x-axis, x=-1, and x=2.

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A: Permutation: Permutation:  The permutation is a method of arranging objects in a specific order.…

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A: The given integral is ln(v)/(6v3).

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A: Given:-sinθ=1213,        90°&lt;θ&lt;180°

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A: