Express the following in the form r(cos 0 + i sin 0), - < 0 ≤ π: (1 - i)(√3+ i) (1 + i)(√3-i)

Q: for 2 sin (xy t 22) W ニ

A:

Q: Evaluate f da V5-

A: we have to use substitution method to solve this integral. these are basic integral formulae which…

Q: Show that T (1-i) cos- +isin- 40 40 (81-8√3) 6 10 = -√2

A:

Q: trace the equation in 3 -dimension

A:

Q: Determine the two roots of sin x + 3cosx - 2 = 0 that lie in the interval (-2, 2). Use the secant…

A: Method by solving trigonometric equation

Q: Let r (t) = (sin (6r), cos (6t) , sin (6t) cos (12t)). Find the point where r (t) intersects the…

A:

Q: The minimum value of cos x + 3 sin x + 5 is: - V10e A 5 - V10- в 5+ V10 D -5 - V10

A:

Q: [1] S(4x³ + x)V4x² + 1dx > [2] S(2x7/2 – vx)* d. [3] S V1+ 2sin3xcos3xdx

A: As per bartleby guidelines we are support to answer only 3 subparts of a question. This post…

Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

A: Given integral:- ∫sec27ttan27t1-tan27tdt

Q: 1-T= 3- Z= +cos(y)tan ( √x-b cos (n) 2-sin²(n) 2-B=sin(x) sec(x)/cscf(x) 4-(w+n)²(a+) x-3

A:

Q: Find all xE[0,2pi] that satisfy sin 2x + cos x = 0 x =

A: Topic- Trigonometric Equations We are given, sin(2x)+cos(x)=0 and x∈[0,2π] We know that sin(2x)=2sin…

Q: Q) prove that (1) -2P xSinx 2.

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5) (320° – sin 20 + jln5)*

A:

Q: d) √3 cos x + sin x = 0 [-2π, 0]

A: By converting the given equation in single trigonometric function,, 99, 254); position: relative;…

Q: sin mx = m sin x 1+m 1-m 3 2 2 2 sin x

A:

Q: 4.) Compute the following: x sin 2x dx x2 +3

A:

Q: Find a sin²(x) dr. 16 +1 R

A:

Q: a sin(x) -dr. Jr (r² + 1)(x² + 16) R.

A:

Q: Find So Cosx (x² + 1)² - ex

A: We shall be using basics of residue calculus to evaluate this integral

Q: Solve the problem. If it has been determined that the probability of an earthquake occurring on a…

A:

Q: The solution of some second order linear DEQ is exp(-7x)[5sin(1x)+ 7cos(1x)] which can also be…

A: