Minimize c = 2x + 2y + 3z subject to + z2 180 2 90 y + z2 90 x 2 0, y 2 0, z20. 2x + y (x, y, z) =

Q: Integrate S(csc 3x + cot 3x)²dx A. cot 3x –csc 3x –x+ C -cot 3x -csc 3x – x+C -를cot 3x- sc 3x + x +C…

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Q: Which equation has x-intercepts of (3, 0) and (7, 0)? O y = z + 10z + 21 O y = r- 10x + 21 O y = 12…

A: (3,0) and (7,0) satisfy the required equation

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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Q: Find the Cross product of A= and B=

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Q: Minimize p = -2x + 4y subject to ( 2x + 3y 2 30, x - y 0, y > 0.

A: Given the LPP problem:                                  Min.p=-2x+4y     2x+3y≥30       x-y≤15…

Q: x+2y-z=2, y+2z=1, x+y-3z=1 what's x,y and z here?

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Q: Find all the possible points of intersections of 9x2 + 4y2 + 18x – 16y = 0 and (x + 1)2 + (y– 2)² =…

A: Given curves: 9x2+4y2+18x-16y=0   ········(i)x+12+y-22=5         ········(ii) From equation (ii)…

Q: (D² + 4)y = 0

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Q: Minimize c = 4x + y + 5z subject to x + y + z 2 70 2x + y 2 50 y + z2 50 x 2 0, y 2 0, z 2 0. C =…

A: The given constraints are  x+y+z≥70, 2x+y≥50, y+z≥50 and x≥0, y≥0, z≥0. Obtain the coordinates x, y,…

Q: 2x + 2y + z = 16 x + z = 34 y − 3z = 34

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Q: A line goes through the points (-4,7) and (1, 2). What is the equation of the line? A y = x – 3 By =…

A: In this question first of all we find slope of required line, then solve it further to find out the…

Q: Iff (x, y) = 4x³ +7y², findf (1,2).f; (1,2).f, (1, 2). f (1, 2) = fx (1, 2) = fy (1, 2) =

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Q: Maximize f = 7x₁ + 6x2 + 10x3 subject to 4x1 + 5x2 + 3x3 18 2x1 + 3x2 + x3 0, x3 ≥ 0 If no…

A: The given problem is to find the solution for the linear programming problem with given constraints.

Q: The graph of the linear equation r=y passes through the point: O (4, 4) O (4,0) O(0,-4) O (4,-4) O…

A: Given equation  x=y

Q: Suppose that x and y are two positive real numbers so that x + y = 10. Maximize the product xy

A: To find the solution of the given problem use the second derivative test. Second derivative test:…

Q: Determine whether u= (-1, 11) is a linear combination of x =(1,3) and y=(2,-1).

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Q: z' dz 2 (3zª – 4z + 8) /1+z + C 15

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Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: Find the perimeter of rectangle WXYZ with coordinates W(3,7), X (3,-1), Y(6,-1), and Z(6,7).

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Q: Minimize c = 12x + 12y subject to x + 2y ≥ 14 2x + y ≥ 14 x ≥ 0, y ≥ 0. p= x,y=

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Q: (d) (* + y, x - v)

A: We have given a vector field (x+y,x-y) with four diagrams;

Q: 12. x = 2y + 7 10. y= x-4 y = 4x - 10 11. y= 2x + 5 y = 3x - 1 3x-2y = 3

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.