Let fj= f(xj), f = f'(xj), ƒ!! = f'(x;) and so on, where ; are equispaced grid points with spacing h=j+1-xj. Applying Taylor's theorem about the point xj. fj+3 = fj+af'+bf!! + cf!" +df (iv) (t), where a = b= C= d= 团, AP.

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: Find an equation of the line tangent to the intersection of the cylinders x² +2²= 4, y²2 +2²=4 and…

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Q: Let f(x, y) = x² + 5y². (a) Find f (5, 1) and f,(5, 1). fx(5, 1) fy(5, 1) =

A: Find

Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

Q: Consider a function of 2 variable f(x, y) = 2x³y² – 5x²y* + 3x³ – 4y³ af and Əx af Find ду

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Q: -2+z) ds over t e point (0, 0, 0)

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). P(C) = 21²1 - 48 + ²P²H 2³k r(t) 3 (a) r(t) 3it…

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Q: Suppose that f(z, y) = 10z²y² + 8z? + 2y? then find the discriminant of f.

A: We have to find the discriminant of the function of two variables fx, y. It is given that the…

Q: Let f(x, y, z) = x³ + 5x²yz + 3xz+ 3, v = Then: D, f(a) = 201 0 -2 and a = -5 2 -5

A: Given that f(x, y, z) =x3 +5x2 y z +3xz+3 The directional derivative is a concept from multivariable…

Q: SF. dr, where F (x, y) = (6x − 2y)i +x²7, Evaluate from (6,-3) to (0, 0). and C is the line segment

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Q: find f c^) : 2x+3 5X+4

A: Topic :- Functions

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: Find the tangent plane to the equation z = z = 16x + 15y + 19 X - 2x² + 3y² - 3y at the point…

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Q: Suppose that I'm (f`∞x) = (x (24-1) and f(0) = 3-2i, f(1) = 6 -21, Find f(1+i)

A: Given that Imf'z=6x2y-1 To find: f(1+i).

Q: For two points (x1, y1) and  (x2, y2) such that xi > 0, yi > 0 for i = 1, 2, we say  (x2,…

A: There are about 4 functions provided.To show:They are Schur convex or not.Concept used:i) Any…

Q: b) Given a second order differential equation d'y 1 dy + d.x² x dx with boundary conditions. Y x² =…

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Q: What does it mean for the differentiability of a function if the Cauchy-Reimann equations (Ux = Vy…

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Q: Sketch the domain of f(x, y) = √4x² - y² x - y² on the ry-plane.

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Q: f(x, y) = √4x² + 2y² fz(-4,-5) =

A: To solve the following problem

Q: Parameterize the line from (-1, 5) to (2, 3) so that the line is at (-1, 5) at t = 0, and at (2, 3)…

A: I am going to solve the problem by using some simple trigonometry to get the required result of the…

Q: Find the gradient of w= 3x² - 5y* + 2z at the point (1, 1, -2)

A: The given function is: w=3x2-5y2+2z2

Q: Suppose that a large mixing tank initially holds 500 gallons of water in which 30 pounds of salt…

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Q: Find the orthogonal trajectories of the family of 2 curves x² + y² = cy A B Ⓒ с D none of the…

A: Given curve x2+y2=cy

Q: Wallis is seated on the line tangent to y=4-3x-x2 at the point (2, -6).

A: wallis is seated on the line  tangent to curve   y=4-3x-x2   at point 2,-6

Q: Find all zeros of f(x) = a + 4x² + x + 4. Enter the zeros separated by commas.

A: