18. Let P denote the path parametrized by F(t) = (1/2), 0 ≤ Compute ſp F·dF, where F (x, y, z) = ( x-y 3+y² 62 0 ≤ t ≤ 2.

Q: 16) Which function will shift y= vx right 4 units and up 1 unit? A) y = Vx + 4 +1 B) y = Vx + 1 C) y…

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Q: 13. Find an equation for the tangent plane of the graph of f at the point (xo, yo, f(xo, yo)) for:…

A: Note:-Since you asked multiple questions which are not interlinked to each other, according to our…

Q: kh= •a+h [ath 2xƒ(1) √ √ 1 + (ƒ' (1))² dt 2лf(t).

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Q: Consider the function f(x, y) = 2x²-3xy + 8y² + 2x - 4y +4 at the point P(-2,1). a) Find a vector…

A: Let  be a function, thena) the gradient  gives the direction of the steepest ascent at point…

Q: A particle moves along the x-axis with acceleration give by a(t) = 2t - 10 +12/t for t >= 1.  A)…

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Q: f(x,y) be defined implicitly as a function of x and y by the 3xyz =exyz Əz Əz yay ax Əz Əz Find and…

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Q: Q1. Let f(x, y) = x²y + x + y² +3. (a). Find f(x, y). (b). Find dy

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Q: of lf" (x) [0,2] f(x)=√1+x² HINT: Much like the previous question except that you are focussing only…

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Q: For the function f(x,y) = 6 of find and 8x+3y' dx dy

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Q: Find the displacement of an object on the interval 2 ≤ t ≤ 5 if its velocity is shown. V(Đ m 3 1 5 7…

A: Given: A graph of velocity-time.

Q: Let f(x, y) = x³ + 2ry – y² be a func the tangent plane to f(x, y) at the poi

A: Here we have f(x,y)=x3+2xy-y2  we have to find the equation of the tangent plane to f(x,y) at point…

Q: Compute F. dr where F (x,y) (6x + y) i+ (4y + x)j and C is a piecewise curve from the point (1,1) to…

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Q: 13. Find an equation for the tangent plane of the graph of f at the point (xo, yo, f(xo, yo)) for:…

A: Note:-Since you asked multiple questions which are not interlinked to each other, according to our…