A. Plane Area in Rectangular Coordinates Find the area bounded by the given curves. Sketch the curves, shade the required area, and draw a representative element of area. 1. y = 9 – x² and y = x + 3 (Use a vertical element of area)

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Q: J(x+h)-f (x) h 4x+9x+5 Problem #1: Using lim, Find the slope of the tangent line y = 3x-8 at x = -1.

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Q: 11. Find L{tU(t - 1)} A. В. е ers C. D. e-s 1 E. None --

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Q: Which of the following is true for the series 3n2 Σ n =0 4n°+7 O None O Divergent

A: Solving

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Q: If T is the point at the given distance on the unit circle C from P (1, 0), determine the quadrant…

A: Here, T is on the unit circle, and its distance from the point P(1,0) is 13π12 that is:

Q: fex) = I+ sinu x f(x) = 1T fcx) =-15 * sinux - secos4X %3D = -15 e sin4X- se"cos4X mL

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Q: For j(z) = (3x2 - 7) (-2x* + 7x), find j' (x) by applying the product rule. Provide your answer…

A: j(x)=(3x2-7)(-2x3+7x) The product rule is: (fg)'=f'g+fg' From above:  f(x)=3x2-7g(x)=-2x3+7x Now,…

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A: To FInd : ∫3x-22dx

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Q: Question 3 - a) ji following series : Determine whether the (-1)"4"-1 32n+1n n=1 is convergent or…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Using Green's Theorem, evaluate (sin z – y) da + (a³ + e") dy where C'is the circle x2 + y = 4.…

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