Find the volume of the region bounded above by the surface z = 6-y² and below by the rectangle R: 0≤x≤2, 0sy≤2.

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A: graphing the region

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Q: Question 5 What is the exact value of A B C 위~ SI 2 2 ㅠ 200(1) - 40%(1 COS D √6 2

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Q: Use l'Hôpital's rule to find the following limit. lim (In 6x- In (x + +5)) X→∞

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 7 tan u - 7…

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Q: 5) For the matrix Determine: (1) (ii) (iii) (iv) the characteristic equation the characteristic…

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Q: a. Write the equation of the line that represents the linear approximation to the following function…

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Q: (a) o do, (b) 2 ²0 do sin²0 31 cos 0 1 sin²0

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A: As per guidline we can solve maximum one question you can repost other ones

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Q: Find the following limit. lim <5t²5t + 2, t→7 answer=< t² - 4t - 21 t-7 2. cos(t) V

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Q: Let ƒ(x, y, z) = x² z and let C be the curve given by r(t) = (6e¹,6√√/2t,6e¯) for 0 ≤ t ≤ 1. Compute…

A: Find ds and then solve the given problem.

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A: To find the vector equation that represents the curve of intersection  of the paraboloid z=4x2+y2…

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A: Given :- Points X1,2,-1 and Y0,3,-2

Q: Let (P) be the quadric surface given by the following equation y=5+x² +=² Then:

A: Given : Let (P) be the quadratic surface given by the following equation  y = 5 + x2 + z2…

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A: In this question, we want to know that how the given function is discontinuous at z=2/3.

Q: A) Find and classify the critical points of f (z, y) = x^3 + y^3 − 6y^2 − 3x + 9 using the first and…

A: The function given is fx,y=x3+y3-6y2-3x+9

Q: 4. The duck population near a small lake can be modelled by the d(t) = 0.5(t² + 8) (t + 4) Where t…

A: given that , duck population function is given by :-d(t) = 0.5(t2+8)(t+4)where  t is time in years…

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A: We have to find what the points are called at which a quadratic equation intersects the x-axis.

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 5xy-3y². Po(-6,2), A=i-2j…

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Q: Determine whether the following series converge or diverge. Be sure to name any test (s) used as…

A: The solution is shown in step-2 As per company guidelines only one question is allowed to answer for…

Q: Find the volume of the region bounded above by the surface z = 3-y² and below by the rectangle R:…

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Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable.…

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Q: Sketch the curve of the given function analyzing the following. 2 -12x-4 y 1) Find all the…

A: y=fx=-12x2-4x3 Note:- Since you asked multiple subparts ,according to our policy we can solve first…

Q: Problem 2. A rectangular box without a lid is to be made from 16 cm² of plastic. Find the maximum…

A: We can solve the given problem by using the partial derivatives.