Use Lagrange multipliers to find the minimum value of the function f(x, y) = Minimum: x² + y² subject to the constraint xy = 3.

Q: Find the derivative. y = ex. 3x6 y= None of these О бе х. 18х5 О 5xe5х-1.18x5

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Q: Find an equation of the tangent plane to the given parametric surface at the specified point. x = u…

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Q: Find the domain of the function g(x) = x³ + 11x - 2 X - 3|- |x+1|

A: To find the domain of the following function.

Q: then a 7 d 41 det b 7 e = с 7 f det a b C -4 d -7 -10 e = and 41-41 a det b с d a d e = 3, and det b…

A: given

Q: how would a constructed graph look for g(x)?

A: The local maximum point of the function g(x):x = 3The local minimum point of the function g(x):x =…

Q: dz Find given: dt 2 = xesy dz dt || x = t³, y = 4+3t

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Q: Graph the function y=-4x³ + 12x² -7 by identifying the domain and any symmetries, finding the…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. A1 y=f(x) A2 5 A/ A3…

A: Graph of the function is givenWe have to find .

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: Find the point of diminishing returns (x,y) for the given function, where R(x) represents revenue…

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Q: Find the center of mass of the solid E bounded by the planes x = 0, x=2, y = 0, y = 2, z = 0 and z =…

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Q: A population numbers 11,000 organisms initially and grows by 16.3% each year. Suppose P represents…

A: P=a⋅btGiven Initial population (P0)=11000 organismsGrowth rate =16.3% per year

Q: The demand for a certain type of cosmetic is given by p=240-x, where p is the price in dollars when…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Answer D, E, and F

A: Speed is the positive value of velocity as speed has no direction.The Velocity function is given by…

Q: Calculate the following limits: a) lim (x²-5x+7) b) lim (-x² +7x+5) X→ +∞ x+∞ Answer: a) = b) = c) =…

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Q: OABC is a rectangle and the two shaded regions are equal in area. Find k. Ay D A k [y=x²+k B C 2 X…

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Q: For the function f(x) = 4e find f''(x). Then find f''(0) and f''(1). "

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Q: = Find the first 10 terms of the sequence an Its 9th term is Its 10th term is 1 an-1 and a₁ = 23.

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Q: 6. Convert the rectangular coordinate (2, -2, 5) to (p, 0, p).

A: To conveert the rectangular coordinates  to sphericalcoordinates .

Q: 1.) Give the form of the partial fraction decomposition of the function: 3x5 - 6x +4 x(4x - 2)² (2x²…

A: (3x5(2x2+3)].

Q: Let f f(x) dx = 11 and ₁ f(x) dx = -15 Evaluate the following integrals. So 5 f(x) dx So f(x) dx Use…

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Q: The integral d(cos x) dx cos(x) + C O sin(x) + C O-cos(x) None of these O x + C + C sin(x) + C dx…

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Q: Given the vector function r(t) = (-t, -4t³, -3t¹ +5) Find the velocity and acceleration vectors at t…

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Q: please help solve, Use a triple integral to find the volume of the tetrahedron bounded by the planes…

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Q: Given this relation: 7.x4.tan(y)+25.x².y² = 0 Find dy dx

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Q: Consider the matrix: 1 11 -5 2 1 4 7 17 -13 Select the correct row operation to change the matrix…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs: the interval…

A: Volume of solid obtained by revolving the region about y axis is given by

Q: Determine the equation of the tangent for the function: f(x)=3 at 16 x4 +5 x³ +28 . 4.x³ the point…

A: The given function equation is

Q: 11 If f(1) = 10 and f'(x) > 2 for 1 < x <4 how small can f(4) possibly be? (Show your work)

A: If  and , then to determine the smallest possible value of .

Q: A) Find the following integrals: 1) tan-¹(x) dx 1,5₂) 5. DYE

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Q: The graph of a function g is given.   The curve begins at the point (−2, 0), goes up and right,…

A: The graph of g(x) passes through the following points:(−2, 0),(−1.5, 1),(−1, 1.5), (−0.5, 1), (0,0),…

Q: 15 y = w 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 II Write an equation for the function graphed above. 1…

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Q: Use basic integration formulas to compute the following antiderivatives or definite integrals.…

A: Use basic integration formulas to compute the followingantiderivatives or definite…

Q: A train is traveling 50 km per hour along a straight track, moving in the direction as shown in the…

A: Speed of train using Pythagoras theorem From the given figuredifferentiatinggiven that the distance

Q: Find the volume of the region bounded above by the paraboloid z=4x² + y² and below by the square…

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Q: For the function f(x,y,z) = 5 + xy³ − 4z³, find fx, fy, and f₂. fx² f₂ N 11 = 11

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Q: _. Let ƒ(x) = (x³ + x² + 1)e²³+1 and g(x) = ex³+¹ (a) Draw a rough sketch of the graphs of the…

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Q: smaller and larger x vaues are incorect.Please show work and correct

A: The given curve equation is

Q: Ryan is pushing a cart

A: To find the work done by Ryan in pushing the cart up the airport passenger ramp, we can use the…

Q: Find the volume of the tetrahedron shown using the order dz dx dy. The tetrahedron is bounded by the…

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Q: Let A(x) = fi f(t) d t where f is the function given by the graph below. -1 41 3 2 1 -1 -2 -3 -4 P 0…

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Q: Find the derivative. y = ln (9+x5) 5 9+x 5x4 In(9+x5)

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Q: 4. Find the volume within the region bounded by z = x² + y² and z = = 32 - x² - y².

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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Q: Fill in the blank with the correct choice. Suppose f(x) is decreasing over the interval [7, 13], and…

A: If a function f(x) decreases over an interval [a,b], which means..

Q: 2. Describe and sketch the surface: z = sin y

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Q: Write down the first five terms of the following recursively defined sequence. a1 = 1; an+1 = -2an+1

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)"…

A: The given series .The objective is to determine whether the series is absolutely convergent,…

Q: Maximizing Profit The total weekly revenue (in dollars) of the Country Workshop realized in…

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Q: Evaluate the integral by interpreting terms it in areas 10 with er pictures, Slx-510x Ø detailed…

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