Evaluate the following integrals? .3 1)S x² e3* dx 2) S dx x²+25 dx 3) 6x – x2 4) | cos(In x) dx

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A: Given ,  Assume the acceleration of the object is a(t) = −9.8 meters per second (Neglect air…

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A: Let's find.

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Q: 5. Determine the values of x for which the function is continuous. x + 5 x² – 5x + 4 3x +1 2x2 – 8x…

A: a. fx=x+5x2-5x+4b. fx=x4-x2c. fx=3x+12x2-8x Note:     Multiple parts are given, we are answer only…

Q: Let u(æ) = sin(x) and v() = a = 18 and f(x) (*)a u (2) -| v (2) = u'v – uv f'

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Q: • Find the volume of a solid generated by rotating: Complete and chronological solution: 1. Region…

A: Solution is given below:

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A: We can solve this as follows:

Q: (2x + 6)dx x2 – 2x + 17

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

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Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

A: Given ∫(2x+6)x2-2x+17dxTo evaluate integral:

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Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 9)2

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Let's find.

Q: t-4 lim x-3-3-ax

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A: here i am giving my handwritten solution.

Q: Use Euler's method to a) compute y(1), where y(x) is the solution of the initial value problem: dy +…

A: Use Euler method

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Determine whether the sequence converges or diverges. If it converges, find the limit.

Q: Evaluate the integral (Partial Fraction Decomposition) xdx J (x2 + 2)(x² + 1)²

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Q: Mark the critical points on the following graph. 24 18 \12 -5 -4 -3 -2 -1 2 3 4 5 -6- -12 -18 -24…

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Q: Direction: Differentiate each function with respect to x. 4) f(x)= 4x-5x-3 5) y= 3x 6)

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Q: 5,7 4.6 Find the four second-order partial derivatives for f(x, y) = 3x°y' +5xy "y %3D "yy

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