Find the direction in which the function is increasing most rapidly at the point Po. f(x.y) = xy? - yx², Po(-1,1)

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: Find the r value of the point on the curve y = 3x + 2 closest to the point (1,0). Evaluate /(-글 +…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Solve the problem. Find all points on the curve y = cos x, 0 sxs 2T, where the tangent line is…

A: The given curve is y=cos xFind all points on the curve y=cos x , 0≤x≤2π , wherethe tangent line is…

Q: Find the direction in which the function is increasing most rapidly at the point P0. f(x, y, z) = xy…

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Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y/x) + V3 sec…

A: Let us consider the function z=f(x,y)  The derivative of the function at point P in the direction of…

Q: S(r) = x – 2:r +4 What is the y-intercept of the tangent line that intersects the function at I= 2?…

A: We know that,The tangent point of the given curve can satisfied the equation of that curve.

Q: The equation of the tangent line for the function f( O y = -7 O y = -7(x – 4)+35 %3D O y = -7(x+ 4)…

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: 3 Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = :-1 %3D 1- 2x…

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: Q2: Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point ,0)

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Q: S(r) = 2r2 +3r+2 What is the y-intercept of the tangent line that intersects the function at I= 2?

A: f(x)=2x2+3x+2

Q: Solve the problem. Find where the tangent to the curve f(x) = V+1 that has slope . O x = 3 O x = 1 O…

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Q: Find all points (x,y) on the graph of f(x) = 2x- 3x with tangent lines parallel to the line y= 13x +…

A: Given : f(x) = 2x2 - 3x     To find the points on the graph of f(x) = 2x2 - 3x with tangent lines…

Q: Q14: Find the equation of the tangent line to the curve xsin y+x' = tan" (e") +x- at the 4 point…

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Q: (ii) Find the length of the curve y = E* from x = 0 to x = 2. %3D

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Q: Find the equation of the line tangent to the graph of f(x)=4cos(x) at x=−π/3 Give your answer in…

A: Given :f(x) = 4cosx at x = -π3We will find the equation of tangent line

Q: a) Find the equation of the tangent plane to the graph of the curve f(x,y) = x² + y² at the point…

A: Mentioned below is the answer

Q: Q4: A. . Find the derivative of the function at Po in direction of A. g(x, y) = x - + V3sec-1 (2xy),…

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Q: Find the point at which the line y = 8x – 31 is tangent to the graph of y = eXf-16). %3D The point…

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Q: Find the derivative of the function at Po in the direction of u. X-y g(x,y) = Po(- 1,1), u= 12i + 5j…

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Q: Find the direction in which the function is increasing most rapidly at the point P 0. f(x, y, z) =…

A: Function is increasing rapidly in the direction gradient f at p0

Q: Find the direction in which the function g(x, y) = cos(xy) decreases fastest at the point (1, pi)

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Q: Q4: Find the derivative of the function at Po in the direction of A 1) f(x, y) = 2.xy -3y, P.(5,5).…

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Q: f(x,y) = x/3 – x/3y² is harmonic? Does the function

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Q: The value of b makes the line y = 2x +b be tangent to the function f (x) = x² is O -1 none О 1 O 2

A: Tangent line related problem......

Q: Find the derivative of the function at Po in the direction of u. 2x-y g(x,y) = 5xy +6 Po(1,-1),…

A: We need to find derivative of the function.

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: Given function and the point are

Q: Find the equation of the tangent plane to z= e" +x+x³ +1 the point (2, 0, 12).

A: Let a surface be represented by the function fx, y, z = c where c is a constant. Then the equation…

Q: The directional derivative of the function function = x - xyz + y? at the point (1, 2, -1) in the…

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Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y²/x) + V3 sec-'…

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Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x - (y²/x) + V3 sec…

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Q: Q1)a) Find line that are tangent the curve x + xy = 1 at the point (-1,0)

A: The given equation of the curve is x2+xy=1 and the point is (-1, 0). Evaluate the slope of the…

Q: n) Find the equation of the tangent line to the curve y = (1 + x*) at the point | 1, %3D

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Q: Provide an appropriate response. Find all points (x, y) on the graph of f(x) = 2x2 -3x with tangent…

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

A: Given data: The given function is f(x,y,z)=2ln(xy)+2ln(yz)+2ln(xz). The given point is P0(1,1,1).…

Q: Find the derivative of the function at Po in the direction of u. g(x,y)= x-y 3xy + 2' Po(-1,1), u…

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Q: Q3 Find the equation of the tangent line to the function f(r) =x+7 at r 1. Show your work.

A: f(x) =x3 +7 Let y = f(x) = x3 +7, we have to find the tangent at x=1 , so value of y at x=1 is  f(1)…

Q: Find the direction in which f(x,y) = x²e-2y increases and decreases most rapidly at Po(1,0) and find…

A: Consider the given function, fx,y=x2e-2y Here we need to find the direction in which the function…

Q: Find the equation of the line tangent to the graph of f(x) = −3cos(x) at x = −π/3   Give your…

A: First, find the point of tang-ency. We know the x value we now have to find y value  Substitute in…

Q: : @ use suitable linearization to find the approximate value for the Function at point p. f (xy) =…

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Q: termine the equation of the tangent line to the curve y=Vx at the point (1, A) x-4y+3=0 в) х+4у-3-0…

A: we have to find equation of tangent

Q: Find the derivative of the function at Poin the direction of A g(x, y) = x – (y²/x) + V3 sec (2ry),…

A: The solution is given as

Q: find the directions in which the functions increase and decrease most rapidly at P0 . Then find the…

A: Consider ƒ(x, y) = x2y + e^xy sin y, P0(1, 0)

Q: Find the point on the curve f (x) = Vx that is closest to the point (2,0). Put your answer in the…

A: Use distance formula and differentiate and put zero

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

A: Consider the equation

Q: 4. What is the direction in which the function f(x, y) = yx² -- decreases most rapidly at the point…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the direction at which the function f (x, у, 2) %3 хIn(е' — хг) increases fastest at (-3,0,0)

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Q: p) Find the equation of the line tangent to the curve x² + y² = 25 at (3,4) %3D

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Q: Where on the curve of 1 does the tangent have the greatest positive slope? y = 1+ x? O 1) 3 3 O 2) 3…

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