25 V 5 min

Q: Find the between the two curves. area 2. X=ay, a'y=x 3

A: The area between the curves can be calculated by integration. The formula used for the integration…

Q: Use the linear approximation to f (x, y) = √x/y at (9, 4) to estimate √9.1/3.9.

A: f(x,y)=xy at (9,4) to estimate 9.13.9

Q: If ƒx(a, b) = ƒy(a, b) = 0, does it follow that ƒ has a local maximum or local minimum at (a, b)?…

A: To determine: Whether the function f follows that it has a local maximum or local minimum at a point…

Q: Find the point on the ellipse x = 2 cos t, y = sin t, 0 ≤ t ≤ 2π, closest to the point (3/4, 0).…

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = x² – xy + y² – 5x + 5y…

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Q: Determine whether the following statement is true or false, and explain why. For a function z = ƒ(x,…

A: Let f(x, y) and its first and second derivatives are continuous at (a, b) and that fxa, b=fya, b=0,…

Q: If m < f(x) < M for a < x < b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: Find the maximum rate of change of the following function at the given point. f(x, y, z) = x² + 5xz…

A: To Determine: find the maximum rate of change of the following function at the given point . Given:…

Q: What is the area of the triangle bounded by the x and y axes and the tangent to the curve xy^2=4 at…

A: xy2=4 Differentiating with respect to x, we get…

Q: Q6/ Find the moment of inertia and radius of gyration about the x-axis of a thin plate bounded by…

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Q: Use the Linear Approximation to f(x, y) = x/y at (9, 4) to estimate 9.1/3.9.

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Q: Find the positively oriented simple closed curve C for which the value of the line integral C(y^3…

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Q: Find the absolute maximum of f(x,y) = 6x²y² + 4y2 + 4x2 bounded by y = x, y = 0 and x = 2. %3D

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Q: Suppose that f(z, y) = x² – zy + y? – 5æ + 5y with z + y? < 25. 1. Absolute minimum of f(x, y) is 2.…

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Q: What is the maximum vertical distance between the line y = x + 2 and the parabola y = x2 for −1 ≤ x…

A: Consider the given line

Q: Let f(x) = S* A et dt. At what value of x, f(x) has a minimum? Select one: 4 -2 no value of x

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Q: Let A = {(x,y) = RXR; 0<max{|x-3], ly- 2|}<1}, then: *

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Q: Find the maximum value of f(x,y,z)=y-z subject to x+y+z=1, x^2+y^2=1.

A: Let us consider the function f(x,y,z)  To determine the maxima subjected to g(x,y,z)=0 Find the…

Q: Find the maximum and minimum values of the function f(x, y) = xy onthe disk V = {(x, y) : x 2 + y2…

A: The given function is, fx,y=xyon the disk V=x,y:x2+y2&lt;1 fx=λgxfy=λgygx,y=1…

Q: Find a formula for a functionf(x, y, z) whose level surface f= 3 is a cylinder of radius 5 centered…

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Q: Find the absolute minimum and maximum points of the function g(x, y) = x² – 2y² + 8y over the region…

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Q: 18. Find the absolute maximum and absolute minimum values for the function f (x,y) = e-**-y* (x² +…

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Q: Find the absolute maximum and minimum of the function on the given domain. f(x.y) = 6x + 5y on the…

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Q: Find the local minimum value of f(x,y) = 3x² + 2y2+ Ox + 2y + -5. Give your answer correct to two…

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Q: Find the absolute maximum value of the function f(x, y) = 3x² + 2y² – 4y+1 | on the disk which has…

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Q: 5. What is the maximum vertical distance between the line v1+2 and the parabolh v for

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Q: What is the largest vertical distance between the graphs of the functions y = v and y = x in the…

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Q: Find the (absolute) maximum and minimum values of f(x, y) = sin x cos y on the square R = {(x, y)|0…

A: Given,            f(x, y)= sinxcosy                    (1) on the sqaure             R=x, y| 0≤x≤2π,…

Q: Find the maximum and minimum values attained by f(x, y, z) = 2xyz on the unit ball x2 + y2 + z2 < 1.…

A: fx,y,z=2xyz on the unit ball x2+y2+z2≤1 gx,y,z=x2+y2+z2-1 ∇f=∂f∂x,∂f∂y,∂f∂z ∇g=2yz,2xz,2yx…

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y² - 4y +6 on the closed…

A: Given that a function f( x , y ) =2x2-4x+y2-4y+6  on the closed triangular plate bounded by the…

Q: What is the domain of the function w = ƒ(x, y, z) = 1/xyz?

A: What is the domain of the function w = ƒ(x, y, z) = 1/xyz?

Q: nd the absolute minimum for the function f(x,y) = 7 +6x2 +6y² bounded between x = 4, x = 7, y = 5…

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = x2 – xy + y? – 3x + 3y…

A: Determine the critical point of the function. Now determine the value of function at this point. Now…

Q: The sum, of three numbers is constant. Prove that their product is a maximum when they are e v and z…

A: That is to maximize f(x,y,z)=xyz Now, x+y+z=K Let g(x,y,z)=x+y+z-K=0

Q: Find the absolute maximum and minimum values off on D, where f(x, y) = x – 2xy+2y and D={(x,…

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Q: Find the absolute maximum of f(x,y) = 3x2y2 + 2y2 + 2x2 bounded by y = x, y = 0 and x = 5.

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Q: find the number/s in the interval I=[1/2,3] sych that the sum of the number and its reciprocal is a…

A: Let us consider x be the number And its reciprocal is 1x​ Now the sum of the number and its…

Q: What function should be used to minimize the distance between y = x + 5 and the point (3, 1)? O D(æ)…

A: Explanation of the solution is given below...

Q: find the length of the function over the given interval x=2y, y=-1, to y=1

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Q: Suppose that the Celsius temperature at the point (x,y,z) on the sphere x +y +z =1 is T= 1600xyz“.…

A: This is a problem related to maxima and minima. Based on the general formula we will answer the…

Q: If f(x, y) is continuous, then it must have an absolute maximum in the region x? + y² < 1. True…

A: Given: f(x,y) is continuous Region R is an open circle centre at origin and radius 1 ie x2+y2 &lt; 1…

Q: Find the absolute maximum value and absolute minimum value of f(x, y) = x² + 2xy – 4x + 2y? – 8y +…

A: We have to find the absolute maximum and absolute minimum value of the given function.

Q: Find the point on the curve y = (x − 8)² +9 at which the curvature K is a maximum.

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Q: On the surface z =, in what direction is z increasing most rapidly when x =1 and y = 2.

A: A function z=f(x,y) increases most rapidly, at a point (a,b) , in the direction of the gradient…

Q: What is the maximum vertical distance between the line y = x + 38 and the parabola y = interval [–…

A: Given line equation is y=x+38 Given parabola equation is y=x2 From the above two equations x2-x-38=0…

Q: 4 Determine the surface area of a funnel that is generated by revolving the graph of 1 y = f(x) =…

A: Given  y=fx=x3+112xand interval 1,2

Q: An open rectangle box with volume 2m2 has a square base .express the surface s of the box as a…

A: Please find hand written solution.

Q: Find the absolute maximum and minimum values of f(x, y) = x^2 +xy + y^2 - 3x + 3y on the triangular…

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Q: Find the point(s) on x = 3 − 2y^2 that are closest to (−4, 0) You do not need to restrict the domain…

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Q: What is the largest vertical distance between the graphs of the functions y = Vx and y = x² in the…

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