If z1=1-1,z2=-2+4i. Evaluate |2z2-3z12. pdf.

Q: By using the substitution u = 4x +1, evaluate (4x + 1) dx %3D

A:

Q: The convolution of e2t ® sin(3t) S is | e2Usin(3t – 3u)du e2usin(3t – 3u)du Se-2usin(30)du…

A:

Q: y = In(In 2x)

A:

Q: Solve the following forr W=4xc for c %3D C = (Type an exact

A:

Q: Use a computer algebra system to approximate the it 2x 1I. * + 3y) dy dx

A: GIVEN DATA : The integral∫02∫x22xx3+3y2dydx Let the integral I=∫02∫x22xx3+3y2dydx First integrate…

Q: » / 13t – 41º + 4 dt = 6. (а) 1 - 5 Jū du: (b) dx = 4x3 (c)

A:

Q: Find the principal value of (1– V3i)".

A:

Q: Evaluate ze -dz, where C is z+ 2 ((+2+2)?

A:

Q: solve the following integoal రయి dx 22 Nx²+5

A:

Q: 3xy3 + Cln(x?) = 0 Зху

A:

Q: EX show that 2. J능 (x)

A:

Q: For z C, show that the solutions of cosh(z) = 1 are z= i2km, for ke Z.

A: We need to prove that the solutions of the equation: cosh(z)=1 are z=i2kπ, where z∈ℂ, k∈ℤ.

Q: Find H(−2) and H'(−2), where H(x) =

A: Here we have;  H(x)=∫-2xduu2+1

Q: for z = In(2® + y*). Find

A:

Q: d) solve to 1l o wing equan on. the differenti al 2 dy 3y = 3 n2 + 5 %3D

A:

Q: [ u#(u – 1)"-1 đu (1+x!/n dx = n

A:

Q: If f'(2) = 5 then [4f(x) – x³]x=2 %3D dx Select one: O 32 O 8 O 28 O 20 O none

A: Given f'(2)=5To find ddx[4fx-x3]x=2

Q: | 3t In(t)dt

A: We have to solve this question with the help of by parts integration. ∫fgdx=f∫gdx-∫∂f∂x∫gdxdx It is…

Q: Sy²el+2y®dy

A: Consider the indefinite integral ∫y2 e1+2y3 dy to evaluate the above indefinite integral, use the…

Q: Calculate the value for ∑j=3 to 7, (3j-2)

A: To calculate: The value of ∑37(3j-2)

Q: Express in the form x + jy Q7/ (2) In(3 – j)

A: Solution:-

Q: Question x²+5x+4 If y(x) = In *), find y' (x).

A:

Q: fx)x+3メん-4 チメナ3メムーリ Suな4i44xLO メメッメ0

A:

Q: Show that the following cosh 3 (0,0) r(3,5) x² y?. (10xdx +6ydy)

A:

Q: 3. Evaluate J,?-6x+5 1 dx if it exists. |

A:

Q: In r dr

A:

Q: 7. If DE = 11x + 15 and FG = 32x- 27, find DE. %3D D E

A: We are authorized to solve only 1 question, please repost remaining questions Circle property

Q: i) (i × j). k = 2.

A: This can't be equal to 2.

Q: If h(z) = 2 – 4, find h(z). %3D

A:

Q: 2ху 3. y' = -x?

A:

Q: POT Q3.If f(x,y) = sin'(x-3y) +sin xind: of af and ду

A: Given:     fx,y=sin2x-3y+sin-1xy Taking partial derivative with respect to x.…

Q: J (8 – 3sin2x)*cos2xdx

A:

Q: a) Let Z = 7 – 13i, find: i) Im ) ii) (Re Z)?

A: Complex Numbers: The complex number is basically the combination of a real number and an imaginary…

Q: - show that; L-1[e¬v$] = e %3D 2tynt

A:

Q: What is the relationship between ZW and ZX? 3,

A:

Q: Solve the D.E Seczx %3D

A:

Q: •1-i Evaluate 4z dz . J3i

A:

Q: Determine the value of k if |I +k dx = 2.

A:

Q: J with 2 equations Give an exa

A: Let ax+by=0 and cx+dy=0. These lines pass through the origin. Then  ax+by=0cx+dy=0 is a homogenous…

Q: 3. If PQ = x - 5, QR = 2x – 1, and PR = 21, find x. %3D

A: Explained below

Q: 1. Given A= For which value(s) of a and b will A be singular?

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Show that for B > 0, Be-Ba dx = 1. |

A:

Q: Write a in the form e(=) and hence find - [x*] for x > 0. dz

A: The given function is: xx=eln xx    =ex ln x

Q: If the substitution u=1+/x is made, then (1+/x)3/2 dx

A:

Q: If = =x - xy + 3y and (x, y) changes from (3. - 1) to (2.96, - 0.95), compute the values of A: and…

A: Given that            z = x2 - xy + 3y2 and (x,y) changes from (3,-1) to (2.96, -0.95). We have to…

Q: c) Evaluate [xV2–x? dx by using substitution method.

A: Integrate by substitutions

Q: Compute for the value of tanh-(1 – i) In 5 my + 2.13i In /2 + 2.13i Inv - 4.25i 2 In /2 + 2.13i

A: Let, tanh-11-i=z. Thus, solve for z:…

Q: I = 4t? dt J2

A:

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.