Which of the following line is normal to x² + y² – z² = 6 at the point (3,-1,2)? x + 3 y – 1 z +2 | %D -2 4 x + 3 1 z + 2 - || 3 -1 -2 х — 3 y+1 z – 2 - 3 -1 -2

Q: V5-X +|= Vー4×

A: We need to solve 5-x+1=-4x. So,                 5-x+1=-4xSquare both…

Q: .3 If U = 2– x, | x 2-xdx=

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Q: Chose the slope-intercept form of the equation of the line through the point (-1,2) and…

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Q: . Which of the following lines passes through the point (2, 5)? y = 2z – 1 y = 2z +1 y = 4z -2 y =…

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Q: 2 X 2.- (D*- 4D +4)y = x *

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Q: 3.2 X(x²-1)-y=xy* ;y(2)=-

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Q: If f(x.y)= x?+2xy+5y² then дудх

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Q: @3Dy+12 D3=24

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Q: For the given data (0, 5), (1,9), (4, 3) find the curve y = a + byx that best fits the data in the…

A: Given the data (0, 5), (1, 9), (4, 3)

Q: in z 3D 2x, + 4х2 + 3x; Зх, + 2х2 + хз 0

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Q: 5). If you have a problem with one dependent variable and two independent ones, show how the errors…

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Q: Which point is in the solution set for question 9? ys-2x+5 y²-3x-2 0 (2,4) O (0,0) (4,1) O(-2,-3)

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Q: +3. . Find the linearization of _9). Can you tell anything about the error? at (3,2). Evaluate at…

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Q: -x+y+3z = 3 x+2y-z 0 3x+2y %3D -5z = -2

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Q: Is the ordered pair (4, 7) a solution to which equation O 3x + 4y = 4 O 3x = -4y+ 4 O y = 3/4x + 4…

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Q: The linearity between two variables X and Y, in pairs, defined as X=[4,2,3,5,2,4] and…

A: Linearity x y xy x2 y2   4 6 24 16 36   2 4 8 4 16   3 6 18 9 36   5 8 40 25 64   2 5…

Q: 3. y = (x+b)(x-a). (x-b) ; y

A: A detailed solution is given below. Use logarithmic differential to solve it.

Q: 9+xm 6. 3x+2y < 0 yD mx:

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Q: Find the values of w, x, y, z and Dx x + y + z + w = 13 2x + 3y - w = -1 -3x + 4y + z + 2w = 10…

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Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

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Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

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Q: If y 0 then 25y2- 9y? V25y2 -9y2 O 16y 04y O4y?

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Q: What is the sum of 7x*+2xy-5y and 2x+3xy+2y7 14x +6x3y2-10y 14x +6xy-10y 9x8+5x3y2-3y 9x*+5xy-3y3

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Q: 4. у + 2x &y(1) = 2. y3

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Q: Determine D,f (4,-1,6) for f(x,y,z) = ery + 4zx in the direction of (-3,2,6).

A: Given fx,y,z=ex2y+4zx3 in the direction of -3,2,6

Q: Find a parallel line that passes through the given point (3,4); y = 2x7

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Q: 1 2. S- 9y²+64 dy

A: Given: The integral is ∫19y2+64dy. Evaluate the integral.

Q: Which of the following lines pass through the point (7, 5) and is perpendicular to the line X + 3y =…

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Q: j. Min Z = 12x, + 8x, subject to: 4x, + 2x, 2 24 2x, + 2x, 2 10 2x, < 8 X,, X2 20

A: To solve the Linear programming problem using the graphical method  Consider the constraints as…

Q: If f.(x, y) = 13x + 8y + 11, || f.(3, 2) = a. b. f„(5, 2)

A: Given, fx(x,y) = 13x + 8y + 11 a). fx(3,2) = 13*3 + 8*2 + 11 = 39+16+11 =&gt; fx(3,2) = 66

Q: Find y'when yex = 3y+ x and y(0)=3

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Q: Let x = (m , 1 , 0 , -2)", m > 0 and ||x|l2 = v30, then m = Select one: а. 4 b. 5 с. 6 d. 7

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Q: dw If w(x,y,z) = xe % and x= -4t, y = 4-1, z = -4 + 4t. Find di . (4-1) (4+4) 41(4 - t) -4 + 4 (-4 +…

A: Given, wx, y, z = xeyz     and x = -4t   y =4-t z = -4 +4t We have to find dwdt