Q. Let S = {(x, y), x² + y? = 1} C R2, then S is homeomorphic to a. {(x, y), a² – y? = 1} b. {(x,y), x +y = 1} c. {(x, y), 4x2 + 9y? = 36} d. R? - a O b O d

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A: Given:r=-3,4 and s=9,-12Formula:u=u.u

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

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Q: 17.) What is the vertex of y = - | x | - 2? a. (0, -2) b. (0,2) c. (2, 0) d. (2, -2)

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Q: Q3. Evaluate [(A +B). (à – B)] if à = 2î – 3ĵ + 5k and B = 3î + j – 2k

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Q: -4 and C = 7 A = y В 1 3. Let Find x, y, z 2 -3 such that AB =C.

A: The matrix multiplication of two square matrices is performed as follows. Let P=ab cd and Q=ef gh .…

Q: Let x = (m, 1, 0,-2)", m> 0 and ||x||2 = V30, then т — Select one: а. 4 b. 7 C. 6 d. 5

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Q: -3 -3 1 2. Let C = 6. and B = -6 -6 -3 4 7 A. Find PC→B. -5 B. Let u = 8 Find [u]c. -5 C. Use part…

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Q: 09. Find all le poista whe flaWe 25x-91 fale to bo diclerenti alle %3D

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Q: jw)² +5jw+6 =(jw)² +3jw+2jw + 6 =jw(jw + 3) + 2(jw+3) (jw+3) (jw+2) I

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Q: 3. Show Dat where re frenction s Centinueas? X+ y+2-H

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Q: 1- Sz x?e*y dxdy 2 exy 3

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: If æ – y2 + 3z2+ 2x – 3y – 4z = 1, then Select one: 32+2 O a. 6z Ob. 3z2+2 6z-4 O c. None of these…

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Q: _1. Differentiate the following w.r.to x (i) V(x? + 1)3 .3,-2x (ii) + In (3x + 1)

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Q: 8. Let D be the rectangle given by -1<ys0, 1s x< 3. calculate ff,(x2 + y)dydx

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Q: Let f (x, y, z) = -12x? – y + 5z?. Calculate Vf (0, 5, 6). %3D (Write your solution using the form…

A: Solution

Q: flx, y)=5x8-78 39. If find Fand Jy.

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Q: дz дz If z = f(x, y), find a and for the following equation əx ду z = x² + 3xy + y³

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Q: . Find the coordinates of if M is the midpoint of and M(2,-1).

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Q: .C(-1,2,1), B(0,1,0), A(1,0,–1) There is a straight line passing through the points True false

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Q: Given that J(9, -4), K(6, -10), L(1, -1), and M(x, 4), find the value of x so that JK LIM.

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Q: ²5° c) Evaluate x² (1 + x³)³ dx

A: We solve given integral by method of substitution.  To make integral easier,  we substitute some…

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Q: 41. For ), find all values ofx and y such thatx,y)=0 simultaneously. and yr.y)=0 f(x, y)…

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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: 9 Give with an not example of T: W≤X →Y, to XT Ext. .R. boundedag. - keše bes

A: Please find the solution innext step this is an non-example of Tietze extension theorem in Topology.

Q: 4x 4) y = Vx² +2x-15

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Q: If f = 5x²y² – XY² then find df at (3,1) dx O 28 O 20 O None O29

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Q: Find V. (Fx G), if F(x, y, z) = 4xi+j+13yk and G(x, y, z) = xi + yj – zk. V. (Fx G) =

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Q: S. Re{z²}dz; C is the square with corners 0, 1,1+i, i. [1+i]

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Q: Mark all points that are on the line y = 4x – 7. O (3, 5) (– 2, – 15) O (4, – 7) O(- 3, – 20)

A: Given : y = 4x - 7

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