Let sin(3x4 + 6y5) if (x, y) # (0,0) f(x, y) x² + y4 if (x, y) = (0,0) Which of the following triples gives the triple (f.(0,0), fy(0,0), fza(0, 0))? O a. (1,3,6) O b. (1,12,3) О с. (0,6,6) O d. (0,3,6) О е. (0,6,3)

Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: = f(2y + 3)²√√y+2 dy

A: To solve the given integral

Q: 4. |f x=47+2j-ky=-3i+5)+4k, and ----]+2k, determine 2x+4y-

A: Step 1: Step 2: Step 3: Step 4:

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: Obtain the Selution of diffnential equation Sec Y x2-4x +5

A:

Q: dy if y= 3x Find dx х2+1 3(1-х2) D) (x2+1)2 3x2-3 A) 3. 3 B) 2x C) (x2+ 1)2 х2 +1

A:

Q: Find & for f(r, y) = y- 4ry + 5y .3 2

A: Using partial derivative.

Q: a2f ду? 1 If f(x, y, z) = - 2+y² + find ax2 az2

A:

Q: Let A = (-0,0), B=(0,0) then AUB=

A:

Q: Find A. C. d³y dx³ given y = 48(x²-3) (x² + 3)4 24x(x²-3) (x² + 3)4 2 x²-3 B. D. -48x(x²+3) (x²-3)4…

A:

Q: Find f.(x, y) and f,(x, y) for f(x, y) 3x3 + 8y? – 6x + 4y and evaluate each at f(4, 5). f.(x, y) =…

A:

Q: If LEFH= (2x + 2)° and its complement LHFI = (x+1)°, then what is the value of x?

A: If two angles are complement of each other,  then sum of both angle is 90°.

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: Compute gxxyz for g(x, y, z) = x²y³ z³. (Use symbolic notation and fractions where needed.) gxxyz =

A:

Q: is f(x) = -3x + 4 a bijection?

A:

Q: Which of the following expressions simplify to 4x? y? (4xy) (4x) (&xy²) (2r°yz) y(2x²y)

A:

Q: Find f(3, - 4) if f(x.y) = 4x² + 3xy– 6y +6x- 3y – 7. frox (3, – 4) =

A:

Q: Find: U(x1, x2) = 2X1X2 O X1X2 2x1 2 2x2

A:

Q: R= {(x,y) | X is the sister of y}

A: This is question of algebra Here set is given We have to find components of it Further calculation…

Q: |(5z* + 3z*) (4x³ + 3x*)° dæ

A:

Q: Determine fy (y3 +3y) dy 3 4. 1Y +3y+ C 4 11 11 3 11 y +y +C 11 11 .4 3 3 3. IL D Boş bırak 2.

A:

Q: 12. Find m/R. (&x - 12) (3x + 5)

A:

Q: 6x + 17y df f f(x,y) then i : 6x 17y ду 204x (6а — 17у)? - 204x - (бх — 17у)? 204x (6x + 17y)² 204x…

A:

Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

A:

Q: If (4x~ + xy ):(3xy – y²) = 12:5,find xxy ,

A: Given,

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.