4. Use row operations to show that det X y y² 2² Z = (z − x)(z − y) (y – x).

Q: 3.Find [, (3x² + y)dydx -2

A:

Q: Findtheintersectionof2x+2y+z=4andx+2y+3z

A:

Q: 1. Find an orthogonal change of variables that eliminates the cross product terms in the quadratic…

A: Given Q=x12-4x1x2+x22

Q: Circle all of the QUADRATIC relations y = x(x– 2) y = 2* +5 y = 10x – 7x² y =-9x

A:

Q: Consider the following equations: (1) 2x-3y+z=7 (2) - +4y=z=2 (3) -x-2y + 5z = √2 (4) 2x + xy - 3z=7…

A:

Q: if y = 3x² – 4r³ + 3ª + VI + a, then dy/dr is:

A: Given that     y = 3x2-4x5+3x+√x+π Here we have to find dy/dx . We know that        dxn/dx = nxn-1…

Q: Find the product D (xD – 3) A) xD²– 2D B xD²+4D (c) xD² – 3D D xD²+3D

A: .

Q: A hiker realises that the sun is going down and she forgot her headlamp. If the surface of the…

A:

Q: Eliminate the arbitrary constant from the relation cy²=; (x + y − 1)2 = c/x. 3) 2 = x² + y.

A:

Q: Tgir.y) = (2ry, 1+2+) and g(1.0)=8, then g(4.1)-9(2.1) =

A: Topic:- calculus

Q: 1. 3x + y – 2z = 10   6x – 2y + z = -­2  x + 4y + 3z = 7

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is

Q: Calculate (x+y+z) ds

A: In this question, we evaluate the surface integral for the given intersection of the curves.

Q: Consider the LP problem below: Max P= 12x + 10y Subject to: 4x+3y =0 Which point is the…

A: Given: To find - Intersection point of,

Q: Obtain the largest value of x with which X 1 (y+3)dy-33 2

A: Please see the attached image for the solution. If there are queries, please do not hesitate to ask.…

Q: 1. Find the maximum and minimum points and point of inflection of y = x3 – 3x2 – 9x + 20.

A:

Q: Find the change of variable x = Py that transforms the quadratic form x¹ Ax into y¹ Dy as shown. -…

A:

Q: 2. d-4 d+9 2d a²+3d-28

A:

Q: Which of the following functions satisfy x²dy+ y(x + y)dx=0 with y(1) = 1 ?

A: A detailed solution is given below.

Q: find the general salution of ly-3y12)de = xdy,

A:

Q: Use row reduction to find 0 3 1 3 -3 . Demonstrate that your inverse is correct.

A:

Q: /| (9x + y – 2z) dS. Is Evaluate S: z = x + 0 < x< 4, 0 <y< 7

A: Given: ∫∫S9x+y-2zdSS:z=x+y2, 0≤x≤4, 0≤y≤7

Q: 1. Find y if y =x In(4x+1).

A: Use the product rule of differentiation.

Q: Consider the equation x² + y³ + zª − 8xyz = z². Find z point (1,1,1). at the

A:

Q: 3.Find [, L (3x² + y)dydx

A:

Q: .What is the set of points given by (a) x² + 2xy + y² = 1 (b) x² + y² - 2x + 4y + 5 = 0?

A: To find the set of points satisfying the given relation.

Q: 21. Find the standard form of the equation. 100x + 600x+16y² +160y – 300 = 0 (x+5)* , (v+3)² [A] = 1…

A:

Q: The vertex, x-intercepts, y-intercept, and line of symmetry for a. V (1,-5); 2 -2- Vī /10 -2+ V10…

A: Here the given function is,  f(x)=2x2+4x-3…

Q: 1. If 4 = xy i+yzj+zxk, find curl4 and curl curl A at points (1,2, –3).

A: Given that A = xy i + yzj + zxk and find curlA and curlcurlA at point (1,2,-3). Here i attached…

Q: (b). Show the traces and intercepts of x² +y +z² +3z+2=0

A: The equation of the sphere is defined by   x-x02+y-y02+z-z02=r2 The traces of the sphere are the…

Q: if X = y = Z = 2-1 3 1 3 3 2 -2x 2 X Z 14 find x, y, and z

A:

Q: Find // (5x + y)dA where D : {(x, y) | x² + y? 0}

A:

Q: Find the change of variable x = Py that transforms the quadratic form x Ax into y Dy as shown. -…

A:

Q: If C is the square with vertices (+1, ±1) oriented counter- clockwise, then -y dx + x dy =

A:

Q: 2 2xy) dy, v es (0, 0), (2, 0), (

A:

Q: 2 – 2ay) dy,

A:

Q: A chemist creates 200 milliliters of a 52.5 % alcohol solution by combining a 30 % alcohol solution…

A: Here, 30% of the solution is represented by x and 75 % of solution is represented by y. Now, the…

Q: e the value of k in y = kx? - 6: 7 with the quadratic at one

A: Equations: The equation of the line is y=-2x+7 y+2x=7 The co-ordinates are, (3.5,0) ,(0,7)