1 3 Find the area bounded by the curve y== -x3. -x² + 3x and the line y=x. 16 10 square units 8 square units 4 square units 16 square units

Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

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A: equation of line

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A: We have to find the arc length.   According to our guidelines we can do only one question so please…

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Q: 17. Evaluate the integral or show that it is divergent [(a)-(c)]. 4 6 14 dx (a) wzda, f (b) (b)dx,…

A: As per the instruction, we will be answering the first three subparts. For (a),…

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A: The objective is to find the slope and equation of tangent line.

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A: Given problem:- ∫cos3(x) sin(x) dx

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A: We need to find a curve for dydx=4x which passes through 2,3.

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A: Topic:- application of derivatives

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A: We have to solve above integral

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A: Given

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A: The first question has been solved as per the request of the student.     The center radius form of…

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Q: Question 1. Let f(x,y) = y²e¹x. (a) Find the linearization L(x, y) of the function f at the point…

A: To find the linearization.

Q: Use Simpson's Rule to evaluate the following. n = 10 +3 1 dx J-3 1+x²

A: SOLUTION-

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A: This question can be solved using the concepts of area bounded by curves.

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Q: 2 I зах 9x²-6x+5

A: On solving this we will get

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Q: Evaluate 3x5 3x4+6x³3x² - 6x S₁ x²-2x-In x² - 4x 2 x²–2x 2 x² - 4x (x-1) 1/6(x+2) 16/3 (x+1) 1/2…

A:

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A: Let's transform given integral.

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A: We have to find the limit

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A: Given,  f(x)=10x+17 f'(x)=10

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Q: dy dx ³-√√3x² 2 √5x

A: We will solve the problem

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A: ∫ab(2 + x -x2 )dx here for get maximum value we have to differentiate the function  so here first…

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A: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

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Q: If f(x) = 24x + 12, find the slope of the secant line between the values of x₁ = - 1 and ₂ = = 2.

A: Topic = Function

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A: Given;  f(x,y)=ln(x+y), x=et, y=et.

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Q: Use the method of elimination to evaluate the determinants

A: Question number 16 has been solved as per the request of the student.     This question can be…

Q: 6. If y = 3√x, then what is y'? A. y' = C. y' = ¹ x 3 x3 B. y' = 1/2 D. y' = ¹/2/2 x3 x 3 7. Which…

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Q: 28. 5x1 +4x2 2x1 2x1x2 - 2x3 = 4 + 3x3 = 2 + x3 = 1

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Q: PRECISE DEFINITION OF LIMITS Video Example: Use the precise definition to show that limx→2(x² + 3x)…

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Q: given below. t lim f(x) = -8, lim g(x) = 5, and lim h(x) = 4 X-C X-C X-C 17. Find lim[f(x) = g(x)]…

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Q: d/dx(arctanh(2x)) 2XIn2 A. 1-4X 2x B.- 1-4X 2 In2 C. 1+2x 2x D.- 1-2x

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Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

Q: -x+1 3+z Given the points R (1, -1, -3), the vector v = and the line d: = 1 + y = 3 2 1. Determine…

A: Both questions are solved.

Q: 19

A: