Find the value of r and θ. Solve for the variable over C. Find answers in rcisθ form.
1. x^6= 64i
2. -168 + 3x^2 = 2019

Find the value of r and θ. Solve for the variable over C. Find answers in...
[8] Plot the following complex number in the complex plane, write it in "long-hand" polar form with the argument in degrees, and write it in rectangular form. 137 5 cis 18 long-hand: rectangular: 19] Simplify (2)3 + 2i)". Write and circle your answer in both r cis 0 and x + yi form. [10] Solve for the variable over C. Circle answers in r cis form. x = 641 [11] Solve for the variable over C. Circle answers in rcise...
1. [6 marks] Solve for x. Answers that are not integers should be left in fractional form. (a) -2x + 3x-6=12-10 (c)-38.4 =-6.4x (b)-9x-14 =-16 오- (d)-x1 (e) 3x + 7 =-1+9x 2. [4 marks] Remove the parentheses and solve for the variable. Answers that are not int in fractional form. (a) 2(x + 2) = 3(x-4) egers should be left (b) 20-(2x + 6) = 5(2-x)+2x
9. Solve the vibrating membrane problem 11(r,θ,0) = f(r,0) b) F(r, θ) = 0. g(r, θ) = (1-rrsi20, a = c = 1.
9. Solve the vibrating membrane problem 11(r,θ,0) = f(r,0) b) F(r, θ) = 0. g(r, θ) = (1-rrsi20, a = c = 1.
6. L , Xn be a random sample from a population with pdf et X1,. . . 9x1, xe (0,1), 0, otherwise, where θ E Θ (0.00) (a) Find a confidence interval for θ with confidence coefficient 1-α by pivoting a random variable based on statistic T(X,)--Σ-1 log Xi. (Use quantiles of chi-square distributions to express the confidence interval and use equal-tail confidence interval) (b) Find the shortest I-α confidence interval for θ of the form a/T, b/T, where T(X,)...
a) Find the exact value of the slope of the line which is
tangent to the curve given by the equation
r = 2 + cos θ at
. You must show your work.
b) Set up, but do not evaluate, the integral that represents the
length of the curve given by
x = t - t2,
, over the interval 1 ≤ t ≤ 2.
D 4,3/2 y=7
D
4,3/2 y=7
5. Solve Au=0, r>1, 0 < θ < 2π, a(1,0) cos θ, 0 < θ < 2π.
5. Solve Au=0, r>1, 0
9. Find a bounded solution to the exterior boundary value problem Δυ = 0, r>R, u = 1 + 2 sin θ on r-R.
9. Find a bounded solution to the exterior boundary value problem Δυ = 0, r>R, u = 1 + 2 sin θ on r-R.
Find the value of the six trigonometric functions of θ, where θ is the angle formed by the positive x-axis and the line segment from (0,0) to (-6, -1). Find the value of the six trigonometric functions of θ, where θ is the angle formed by the positive x-axis and the line segment from (0,0) to (-7,-4).
5. Solve Au=0, r>1, 0 < θ < 2π, u(1.0) = cos θ, 0 < θ < 2π.
5. Solve Au=0, r>1, 0
Pls
solve fast
QUESTION 3 6 points Find the value(s) of a € R such that dim(span(A)) = 2 where A = {1+ 2x² + x4,2+x+4x2 +r? +5x*, 1+x+2x² + x + ax"} 0 a=3 0 0 R