For z = 6 + 6 i, find z^ 2 in exponential form (c) z^2 = (36) e^(i T1/2) O (b) z ^ 2 = (36) e^(i n) O (a) z^ 2 = (72) e^(i Tt/2) O (d) z ^ 2 = (V72) e^(i T/2) For z = 4 + 4 i, find z^ 4 in polar form (c) z^4 = (16 )^4 (cos t/2 + i sin n/2) (a) z^4 = (32)^4 (cos t/4 + i sin n/4) (b) z^4 = (32)^2 (cos n + i sin rn) (d) z^4 = (V32)^4 e^(i Tt/4) O

Q: find y^1 if y= 4^square root of x^2 +1 / x^2 -1

A: To differentiate the given function with respecto to x.

Q: Suppose that y^-1= 7x ^-2/6z^-1 Which equivalent to y? A. 6x^2/7z B. 7x^2/6z C. 7z/6x^2 D. 6z/7x^2

A: I have given the answer in the next step. Hope you understand that

Q: Determine f(x) from the table: X f(x) -1 0.5 1 2 4 0 1 2

A:

Q: 1 L-1 (s + 1)2 S Select one: O a. -te^t O b. te^(-t) O c. te^t O d. t^2 e^(-t)

A: option (b) is correct. see below the answer and explanation

Q: Calculate |(1 – i)12|. e^6log2

A:

Q: Calculate A100 where A = 3 2 -2 -1 0 0 1 1

A: Given that,       A=3-10200-211    Let λ be the eigenvalue of A .Then det(A-λI)=0…

Q: Evaluate the equation   9^(4x) + e^(11x-7) = 0

A:

Q: Simplify the expression using the prope 8y^(7)z^(5)y^(6)z^(3) Show your work there

A: We know,        x^(a).x^(b) = x^(a+b) We use this formula to evaluate the given expression.

Q: If y= 4sqrt(9x^3+10), then y'=

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: Put the function P=10(3.6)^t in the form P_0e^(kt). When written in this form, you have: k = ? P_0…

A:

Q: 2 (e^)² = e²x why rather than (e^)² = etz 2

A: To find the integral.

Q: Solve for x using sci notation (2x)(2x) / (0.2) = 1.4 x 10^-5

A: In scientific notation, numbers like 0.0000053 will be written as 5.3x10-6

Q: It is projected that, t years after the start of the 2020, the population of city will be…

A:

Q: fill in the boxes with the missing exponets  (5^()x^()y^(-2))/(xy^())=(x^(2)y)/(25)

A:

Q: find the inverse functions  f(x)=8^(2x+1)

A:

Q: If x=5/3 then x^-2=

A: Topic - exponents

Q: Solve for the particular solution of the given IVP: Q y^(-3) = 9/5x^(-1) - (49/5)x^(-6) Oy^(-3) =…

A:

Q: 0) V (1

A: Given                   (1∧0)∨(1∧1)=

Q: (D^2 - 6D +9)y = (6e^(3x))/x^4 + 3a^2 e^(3x) (a+1)

A: We have to solve the given differential equation   (D^2 - 6D +9)y = (6e^(3x))/x^4 + 3a^2 e^(3x)…

Q: Rewrite y = 3 * (8) ^ (t / 15) in the form y^ prime =a(1+r)^ t or y = a(1 - r)

A:

Q: If P(t) = 2 and h(t) = 1+3t, compute the following functions and values. If your answer is a number,…

A: Given that : P(t) = 2t and h(t) = 1 + 3t

Q: Given f(x) = 4x^2-3 and g(x) = 6 - 1/2x^2a. (f of g)(4)b. (g of f)(2)c. (f of f)(1)d. (g of g)(0)

A: Composite function:A composite function is a function that depends on another function. This…

Q: For f dw ,w = w-wa O w = u^(1/3) O w = u^3 %3D O w = u^(2/3) w = u O O

A: The formulas used are 1.∫dxax+b=1aln(ax+b)+c2.ddxxn=nxn-1

Q: why X"/X=-lamba and T"/(a^2)*T=-lamba.

A: Consider the given information: X"/X=T"/(a^2)T =-λ

Q: The equation N(t) = ac^t can be used to model the growth of of a human embryo, where N(t) represents…

A: In the given question we have to find the value of a and c for the equation N(t)=act and the…

Q: Differentiate In(7x+8)^1/7

A: ln(7x+8)1/7

Q: The number of bacteria in a culture is modeled by the function n(t)=30e^rt where t is in hours.…

A: