Suppose that f(x, y) = 2x² + 2y² - 2xy Then the minimum is

Q: You are climbing a mountain by the steepest route at a slope of 30° when you come upon a trail…

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Q: Evaluate the integral ſ -√36-x² ² 36 +C dx x²√36-x² using trigonometric substitution. Note: Use C…

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Q: Evaluate the integral f dx x²√36-x² +C using trigonometric substitution. 36-x² 36 Note: Use C for an…

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Q: Use a graph or level curves or both to find the local maximum and minimum values and saddle point(s)…

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Q: Assume that the recursively defined sequence converges and find its limit. 63 a₁ = 2, an+1=2+ an The…

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Q: Find the derivative of In(8x³-5x).

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Q: Find the volume of the solid enclosed by the surface z = x² + xy² and the planes z = 0, x = 0, x =…

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Q: 2 20 x Ox≥0 OxER OxER, || #1 Ox>1

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Q: 5. f(x)=√x² +9, [0,3]

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Q: Write an iterated integral for da over the region R R described to the right using a. vertical…

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Q: het facx) = 1 + 0x² Ⓒ find the maximum Ⓒ Find the pointwise Limit [0,1] value of fox) pointwise…

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Q: DIFFERENTIATE f(x) = THE FOLLOWING FUNCTION +1

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Q: 1. Sketch the region of integration and then compute the integral with the order of integration…

A: To sketch the region of integration and then to compute the integral with the order of integration…

Q: Integrate the function f over the given region. 1 xy f(x,y)= over the square 3 ≤x≤9, 3sys9

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Q: View the curve (y - x)² + 2 = xy − 3 as a contour of f(x, y).

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Q: evaluate the following limit

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Q: Evaluate the integral sin x cos³x dx

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Q: Suppose the solution set of a certain system of linear equations can be described as x₁ = 4 + 3x3,…

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Q: (a) Find the center and radius of the sphere defined by x² + y² +2²-8x + 2y + 8 = 0. (b) Find the…

A: A sphere is object that is 3-D analogue to a 2-D circle. If its center at the point (a, b, c) and…

Q: Q4// At time t, the position of a body moving along the s-axis iS s = t³ - 6t² + 9t m. 1 Find the…

A: Given,

Q: A company determines that when 3000 units of a particular commodity are sold, marginal profit is $10…

A: (a) The statement "P(3000) = 60000" means that when 3000 units of the commodity are sold, the…

Q: Find the equation for the tangent plane and the normal line at the point P (2,1,2) on the surface…

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Q: Convert the following point from cylindrical to rectangular coordinates: (9,11pi/6,5)

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Q: The graph of y=f(x) is shown below (dashed curve). Reposition the two green draggable points to…

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Q: 3 y=-andy=1 8 7 4

A: For horizontal asymptotes then compare the both numerator and denominator

Q: The base of a three-dimensional figure is bound by the line x = y + 2 on the interval [1, 9].…

A: The volume of a three-dimensional figure can be found by integrating the area of the cross-sections.…

Q: Integrate the function f over the given region. 1 f(x,y)= over the square 8≤x≤9, 8≤y≤9 xy

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 1 5 9 13 17…

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Q: Find of/ox and af/ay. f(x,y)=3x3 Зу ?x af ду 11

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: The given integral is (2x3-12x2-79x+11)/(x2-6x-40).

Q: The base of a three-dimensional figure is bound by the line x = y + 4 in the fourth quadrant.…

A: The base is x=y+4.The height is 3.

Q: A region bounded by f(x) = x, y = 0, x = 1, and x = 4 is shown below. Find the volume of the solid…

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Q: (a) For what real value of the constant k is the function x² - 7x + 12 x-4 f(x) = continuous at x =…

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Q: Let cos a with 0 < a < Find the exact value of tan(a + B). and sin 8 = - with <3 <³

A: Let  with  and  with .To find the exact value of .

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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Q: Evaluate O A. O B. O O D. dw dt -2² (²) 2(127) I -2 at t= 2(727) 4 9 -1/² 3 N|W for the function…

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Q: A region bounded by f(x) = x, y = 1, and x = 4 is shown below. Find the volume of the solid formed…

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Q: Use partial fractions to evaluate the definite integral. Use a graphing utility to verify your…

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Q: LET f(x)=x²-2x-2. FIND f'(x) USING THE LIMIT DEFINITION OF THE DERIVATIVE-

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Q: Decompose the following fraction using a long division: 5x³ + 2x² - 38x - 21 x² - 9 a = b = 5 0 C =…

A: The given term is; (5x3+2x2-38x-21) /(x2-9).

Q: A region bounded by fly) = y, f(y) = 6 - y, and x = 1 is shown below. Find the volume of the solid…

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Q: Find the derivative of the function at the given point in the direction of A. f(x,y,z) = 5x+10y-8z,…

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Q: 5-6 Sketch the area represented by g(x). Then find g'(x) in two ways: (a) by using Part 1 of the…

A: Sketch the area represented by g(x) . Then find g'(x) intwo ways: (a) by using Part 1 of the…

Q: Express the area of the region bounded by the given lines as an iterated double integr The lines x =…

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Q: Question 8 Match each system of equation to the description of its solutions. 3x-9y+ 6z = 15 2x-6y +…

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Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x? + +7)3/2 dx

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Q: Use the information listed below to solve parts a through h. CITE Suppose that the demand and price…

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Q: dy Differentiate ax by applying the chain rule repeatedly. Show work 7 y =(√x + = = 2₂2) ³² X-2

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Q: π Find T, N, and k for the plane curve r(t) = -5ti- 5 In (cos t) j, −2 <t< T(t)=)i+)j RIN 2

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Q: Simplify the expression. 4x* (9x³-5) O 13x² - 20x¹ 36x² - 20x* O 36x¹2 -5 O 13x³ - x

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