If then fyy - Select one: O True O False f(x, y) 2(x² + x) (x - y) ³ x² + y x - y

Q: (xCsc-)dナ×

A:

Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

A: The integration formula for ∫xndx=xn+1n+1+C.

Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

A:

Q: x = 1 only if x2 = x.

A:

Q: f(x) =-2x - 4 if xs2 | 4x -9 if x> 2 f(-4) = f(8) = f(2) =

A:

Q: Show that A×(BxC) + Bx(CxA) + Cx(AxB) =0.

A: We have to prove that LHS=RHS

Q: Find x and y if: 16*+2y 32*+3y 32 and 8x-y 16*+2y 8. ||

A:

Q: Show that 22x-1 Г(2x) - r(x) r

A:

Q: 2+3jy X-j

A: (2 + 3jy)/(x - j) = 2j            (2 + 3jy) = 2j (x - j)              2 + 3jy = 2xj - 2j2 We know…

Q: If x=y, then 6+4(x-y)=

A: Here the given condition is x = y.That is, the value of x and y are same.

Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

A:

Q: X2 dx ex+3

A:

Q: 1 x(4 + х)3dх 24

A: To evaluate the integral: ∫2426x4+x13dx Solution: Here lower limit of integral is 24. Upper limit is…

Q: a (x + 4y) = ax + 4ay Select one: O True O False

A: Given here a function and asked to find whether it is true or false

Q: 2.-1 fx(1 + x²³)¯¯¹dx 88

A: Given that ∫-∞∞x(1+x2)-1dx

Q: 2 1 x²dx -3x

A: Given:

Q: Find yll if x²+4y²=7

A:

Q: sーy-xゴャx |

A: Given that y dy/dx -xy^2+x=0

Q: If x > 4 and y > 4, then x + y > 8.

A: Since, we have been given that:-x>4 -(i)y>4 -(ii)Our Aim is to Prove that:- x+y>8

Q: Find 00 x² (x²+4) (x²+2x+2) dx

A:

Q: 2 x -dx 6. Jo 1-x

A:

Q: x+4 c) Evaluate dx х3 + 3x2+ 2х

A: We have to evaluate the given integral.

Q: 6 8. 6x - 3y = 15 4x – 3y =-5

A:

Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: 1 dx D x(x*+ 1) Select one: a. x2 In +C b. In 2+1 C. In + 1 d. In 4 + C

A: Solution

Q: 1. Differentiate: y = 3(²-1) A. (In 3) 3(x²-1) C. 2x (In 3) (3x²-1) B. (2x) 3(x²-1) D. x²(In…

A:

Q: In R show that (9) 20x1²" ² + 2 |1|y|1 ² = 11x + y 11²2² + 11x -y 11 ²2

A: Inner product space:: parallelogram law.

Q: Evaluate G r. d.x. (x2+1)(x+1) 0.

A: The following integrals are useful, while evaluating the integral that is provided. ∫dxx =ln x +C…

Q: Let f(x)- 3x-4 and gix)= x² +4x +5. Find f(3) = f(-2)- 9(-3): g(2): flat2): glar2)

A:

Q: Evaluate x²+ 3x – 7 if x2 12 x=2 с. f(2) d. f(3)

A: