Evaluate the indefinite integral. (- 56е* — 19)е* - 7) 19)e" -dx 4e* — 6) (— 4eт + 7)

Q: 4. Express (-2/3 + j2) in rectangular form.

A:

Q: Evaluate by Residue Theorem fºº dx 1+x3/2

A:

Q: A = = || we ๆๆ -2 0 1 4 B = - 3 2 Ho - o blo

A: We have to find the matrix

Q: X1+iy,=X2+iy2" ューx,○ X =X ,=y,O *ュ=ソ,○

A:

Q: 1. dr (3r + 1)2 1.

A: The given question can be solved as shown in step2.

Q: 9. y" - у' - 2у 3 -2t + 4t?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find (2a° + 3x*) dæ + C

A: We evaluate given integral

Q: 2. fox" -4x dx 9x²

A:

Q: 2- AU (BNC) =(AUB)N(AUC)

A: It is an important part of statistics. It is widely used.

Q: 2 4 E (x² + 2)V4 – x² dx 3

A: Let's find.

Q: 2 S. x*- 4x +4 dx (メ-2)(x4) |

A: Solution: Consider the given integral is: I = ∫x2-4x+4(x-2)(x2+4)dxI = ∫x-22(x-2)(x2+4)dxI =…

Q: 1) x'+ 64 - 0 2) x* - 7x + 12 - 0

A: We have to factorize the given expressions. 1. x3+642. x4-7x2+12=0

Q: Simplify by expanding: (4x - 2y*) O A. 16x* - 32xy-4y O B. 16x*- 32xy² +4y OC. 16x* + 32x'y -4y* O…

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Q: In 2x dx

A:

Q: Which expression is equivalent to (8x y) (9x*y)

A: Given,            8x3y6139x8y-412

Q: -2 -1 -4] A = 11] 2 -81 3 -1 B = 7 3 6 14

A: We use simple matrix multiplication technique