Which of F(x, y) = (-y, x) and G(x, y) = (y,x) is conservative in R2 and why? If again F(x, y) = (-y, x), Ġ(x, y) = (y,x), and C is the unit circle r(t) = (cos(t), sin(t)) for G. dr equals 0 without any computation and why? f. F. dr and C 0≤t≤ 27, which one of

Q: the line (x/a)+(y/b)=1 moves in such a way that (1/a\power{2})+(1/b\power{2})=(1/c\power{2}) ,where…

A: Variable line is                xa+yb=1                 ......(1)Any line perpendicular to (i) and…

Q: The point on the curve y = 2-x nearest to (3,2) is (1,1) (0,2)

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Q: I need help graphing f(x)= 1/2x +1 and g(×)= -|x-2|+5 Y= F(×) as a line Y= G(×) as 2 ray segments

A: Given function f(x)=12x+1 Since, graph of function h(x)=1x is hyperbolic shaped. To obtain 'f(x)'…

Q: How long will it take to drive 700 km at 100 km per hour, if you take a 1-hour break after every 5…

A: We have to find time taken to drive 700km using given data. We will use formulaes,…

Q: f(r,t) = cos(3r) exp(4t) %3D fi(x,t)+ frz(x,t) = f(r,t) %3D

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Q: xyz 3. If f(x, y,z)= In| +e 2 find f,, f, and f..

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Q: af dy of f(x, y) = tan (x²y³ + 2xy)? What is the

A: Given:     To determine:

Q: Let f(z, y) — (-(г + ))5. Then | 20(-(x+y))^3 dzðy dzðydz dz²dy

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Q: Give the equation of the normal line the graph of sin" (x³) + (log3 y) 3 aut le 1)

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Q: Let sin(4x + 7y°) x3 + y5 if (x, y) # (0,0) f(x, y) = 0. if (x, y) = (0,0) %3D Which of the…

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Q: Let Compute dw Əs dw Ət -(-3,-4)= -(-3,-4) = w = -5xy + 4yz - xz, x = st, y = est, z = t²

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Q: Let Compute θω Əs δω Ət -(-3,-4) (-3,-4)= = w = -5xy + 4yz - xz, x = st, y = est, z = t²

A:

Q: If the time 26 + 1%/16 = 1 a that moves in such a way b 1/2 + 1/2 = 1/², where c is a constant, they…

A: Variable line is                xa+yb=1                 ......(1)Any line perpendicular to (i) and…

Q: Q3) Find the local maximum and minimum points of the following curve: y = 3x + 2x? - 4x + 2

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Q: Find fxxx for f(x, y) = Sin() at (π, π)

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Q: Let f(r) be a differentiable function on R. The figure below is the graph of the derivative of f(r).…

A: We can use wavy curve method : Critical point → f'(x) = 0.maxima →  when f'(x) changes sign + ve to…

Q: For the function of two variables defined by f(u, v) = u cos v + v² sin u, select the option that…

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Q: Prove that there no line through the point (0,1) is tangent to the graph of y = x*.

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Q: Let F(2) = f(x) and G(x) = (f(x)) - You also know that a = 2, f(a) = 2, f'(a) = 7, f'(a³) = 15. Find…

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Q: Find the equation of the parabola whose axis is vertical and passes through (-1,0), (5,0) and (1,8).

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

Q: Let Compute θω Əs δώ Ət -(-3,-4) -(-3,-4) = w = -5xy + 4yz - xz, x = st, y = est, z = t²

A: By chain rule, we will solve the problem.

Q: Suppose that a curve is given by the equation  x3−y3= 40xy which defines  y  as function(s) of  x…

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Q: I +1 is normal to the f(r) given by the implicit equation If the line y curve y %3D sin(y) + I =…

A: The slope  of a curve y = f(x) at a point  is its derivative y' at the given point

Q: Q1) A-Write an equations for the normal lines on the circle tangent at (x= 1) with (r=√10),c(0,0).…

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Q: The graph of y=x'-3x-24x +32 is concave upward on the interval (1, oo) because: O'=y"=0 Oy' is…

A: The given function is y=x3-3x2-24x+32

Q: uppose that x + y = 2. What is y" at the point (1, 1)?

A:

Q: Show that (∂z/∂x)2 + (∂z/∂y)2 = (∂z/∂r)2 + (1/r2) (∂z/∂θ)2

A: The equation to be proved is,

Q: Express the rate of inflation from 1985 to 2015 as a percent correct to two decimal places. Year…

A: To find - Express the rate of inflation from 1985 to 2015 as a percent correct to two decimal…