! Find the max/min point for z = f(x, y) =-5x² -10y² + 20x+ 20y.

Q: Find the perticular number or orthogonal trajectories of x2+cy2=1 passing through the point (2,1)

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Q: f(x,y)=x² +16xy + y² +8

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Q: Find the linearization of y = at x = 16.

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Q: Let f(x, y) = 3x² – x – 3y + 5y2 – 10xy. - - - List the critical point:

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Q: # 13) Find two positive numbers x and y for which 2x +y = 30 such that xy² is maximized.

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Q: Find f, fy. f- f(x.y.z) = 3x - 4y 2. 2 +z?

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Q: Expand x'y + 3y - 4 about the point (1, -2) by Taylor' s theorem.

A: Let, the given function be fx,y=x2y+3y-4 and the given point is 1,-2

Q: i) Find the orthogonal trajectories of the family of curves: y : 1+ x?

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems

Q: Find positive numbers x and y, whose sum is 75, such that xy2 is maximized.

A: Positive numbers x and y,x+y=75xy2 is maximized

Q: Find the linearization of the function f(x,y) = V9x² + 16y² at the point (1, 1), and use it to…

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Q: Find the orthogonal trajectories of the family of curve y = 3x+c,where c is an arbitrary constant.

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Q: What is the maximum slope of f(x,y,z)=yex-x2sin(z) at the point (0,7,5)?

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Q: Find the orthogonal trajectories of the curve x^(2) + y^(2) = c^(2)

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Q: 4) Find the orthogonal trajectories of the family of the curves x² = 2y – 1+ ce¯2y.

A: We need to find the orthogonal trajectories of the family of the curve given by x2=2y-1+ce-2y We…

Q: Find the maximum rate of change of f (x, y) = xln /x2 + y2 at (1,2) and direction in which it…

A: To find the maximum rate of change of fx,y=xlnx2+y2 at 1,2 and direction in which it occurs.  First,…

Q: 7  please answer, type the solution if you can please. or write clearly

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Q: Find the linearization of z = f(x,y) at P(-3, 2) when f(-3, 2) = 2 and f-(-3, 2) = 1, fy(-3, 2) =…

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Q: Find the linear approximation of the function at the given point. ffx y)=-9x2-6y2+ 6 at (6,-10)…

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

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Q: Use the linearization L(3,-2) (x, y) of f(x, y) = -x²y-xy² near the point (3, -2) to approximate the…

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Q: 3. Evaluate f 2xdx + (y + 2)dy along the rectangle with vertices (0, 0), (0,3), (3,3) and (0, 3).

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Q: Find the orthogonal trajectories of x² + y² – 2cy = 0

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Q: Find the linear approximation to f(x) = at a = 4.

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Q: Find the orthogonal trajectories of the family of 1 curves Y= X + k

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Q: (6) Find the orthogonal trajectories of the family of curves y = ax? + 4ax + 4a, where a being…

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Q: Identify the transacation of point P x + 3, y + 1). ddf2d92a ddf892d342a ddf892d342a dd1892d342a…

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Q: Find the linearization of f (x, y)= e²"¬*, at (0, 7 / 2).

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Q: Find the orthogonal trajectories to the family of curves: r=c- (in y -1).

A: Orthogonal trajectories can be find in the following way: (i) differentiate given family of curves,…

Q: Give the family of orthogonal trajectories of y^2=Cx^5+5.

A: To find →Family of orthogonal trajectories of y2=cx2+5 -1

Q: Find f, and f, for f(x,y)=y In (3x +4y). fx fy

A: When the partial differentiation is done with respect to a specific variable, then all other…

Q: Find the orthogonal trajectories of y² = cx³

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Q: 7) Let Z.= 3x2 - y² . Find all points at which |VZ| = 6 %3D

A: There is an ellipse,  all points on the ellipse are the solutions of given equation.

Q: Find the orthogonal trajectories of the family of x² – y? = cx = CX -

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Q: 4 to Use the Trapezoidal Rule with n = 1 approximate J-1 V1-x³

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Q: By utilizing Gradient Descent where initial x1=x2=Dx3%3D0, What is the approximated min. point of…

A: To find - By utilizing Gradient Descent where initial x1 = x2 = x3 = 0, What is the approximated…

Q: Find the orthogonal trajectories of x^2+y^2−2cy=0

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Q: 3z2+x 30. If z – xz – y = 0, prove that- =- ax dy (3z²–x)³*

A: Let's find.

Q: Find the linear approximation of the function y = x' at point xo 1 О а. у %3D Зх — 2 -

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Q: For the family x² + 3y2 = c, find that member of the orthogonal trajectories which passes through…

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Q: 4) Find the orthogonal trajectories of the family of the curves x² = 2y – 1+ ce¬2v.

A: Given information : Family of curves :  x2 = 2y -1 +ce-2y

Q: Find the orthogonal trajectories of the family of curves x3y-xy3=c where c is constant

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Q: Show that the function f(x, y) = 3x - 4y² is differentiable at point (−1, 2)

A: answer is in next step. please give a like !!!

Q: Find the critical point of the function f(r, y) = – 4+ 8z + 7z - 5y + 6y

A: Find the critical point (x,y)

Q: Find the linearization of the function z =/ at the point (-5, 1). L(1, y)

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Q: Find the orthogonal trajectories of the family of curves ey + 2x2 = k.

A: Given,  ey+2x2=k

Q: Find the critical point(s) of the function f(x, y) = 6x²y – 12a2 – 3y? and use the second derivative…

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Q: Find all the local max/min and saddle points for the function f(x, y) = a + y³+3x2 - 3y? – 8

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.