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Real and imaginary values of complex numbers

For each complex number z, find Re z (real z), Im z (imaginary z), and magnitude of z. 1. z = e^(1-2i) 2. z = i^(1/2) 3. z = i^i 4. z = tan(i) 5. z = [(1-i)/(2^(1/2))]^40 Im not really sure how to

How do you solve this? Absolute value and inequalities

-5 + 7 |1 - 3b| > 114 im a little confused on how to do this step by step. can anyone help? thanks!-−5 + 7|1−3b| > 114 7|1−3b| > 119 |1−3b| > 17 1−3b 17 −3b 16 b > 6 or b

The perimeter of a rectangular garden is 374 feet. If the length of the garden is 99 feet, what is its width

The perimeter of a rectangular garden is 374 feet. If the length of the garden is 99 feet, what is its width? __________________ Please Help-perimeter is l + l + w+w = 374 2l + 2 w = 374 2*99 + 2w

Calculus Implicit Differentiation Help

Hello Everyone, Heres the problem: Find dy/dx by implicit differentiation. sqrt(7x+y) = 9+(x^2y^2) sqrt = square root (x^2y^2) = x squared times y squared, just to clarify. Thanks everyone, best a

How to find dy/dx of 2sin(ay)cos(bx)=1 by implicit differentiation

a=4 and b=3 and Im looking for explanation, not just answer =P Thanks!-Well, lets put the numbers in: 2 sin (4y) cos (3x) = 1 Implicit differentiation means we just differentiate both sides of the eq

At what point does the normal to y=2+1x+4x2 at (1,7) intersect the parabola a second time

At what point does the normal to y=2+1x+4x2 at (1,7) intersect the parabola a second time? ( __________, ___________ ) (The normal line is perpendicular to the tangent line. If two lines are perpend

Basic Math addition problem 10 points!!

At one point during a race, Chuck was 15 feet behind sally and 18 feet ahead of lucy.Lucy was trailing kyle by 30 feet.By how many feet was sally ahead of kyle?-Spacing is as follows L--18ft---C--12ft

Anyone? Can you please help me? Its a math problem.

2+9^1/2 Please help me with this. Please show your work so I can understand. Thank you. Also is there a difference between 6+3-2(without quotes) and 6+3-2(with quotes).-2+9^1/2 = 2+(9)^(1/2) = 2+{(3^2

Approximate the definite integral

Definite integral |4-t| dt from x=3 to 7 using midpoint Riemann sums with the following partitions of the interval : [3,7] (a) Partititioning into two nonequal subintervals [3,4] and [4,7] . Then the

Factor the polynomial completely. A zero has been provided

f(x) = 48x^3 - 80x^2 + 41x - 6 = 0 Zero: x = 2/3 Any help would be greatly appreciated! I have a test tomorrow and do not understand this content :(-Since youve been given a zero, (x - 2/3) or (3x -

Limits and Continuity Question!! Please Help!

Find the values of a and b that make f continuous everywhere: f(x) = (x^2 - 4)/(x - 2)if x ax^2 - bx + 3if 2 2x - a + bif x>=3 Thanks so much!!!! :)-We can rewrite this as f(x) = x + 2 if x .

How do I find the number of sides of a polygon has if one exterior angle is given

Problem says: Find the number of sides this polygon has by knowing the that one exterior angle =s 20? How do I go about working this problem?-The sum of the exterior angle of a polygons add up to 360

Help with simple Triple Integral

Evaluate ∫∫∫ f(x,y,z)dV for the function f and region W specified: ∫∫∫f(x,y,z)=54(x+y) W: y dV=-Work from the inner most integral first. ∫(x = 0 to 1) ∫(y = 0 to x) ∫(z = y to x) 54(x + y) dz dy dx

Can you solve this calculus area problem

A publisher decides that each page in a new book must have an area of 73.125 in^2, a 0.75 in. margin at the top and at the bottom of each page, and a 0.5 in. margin on each of the sides. What should t

Find the equation of the tangent line to the curve y=x*(sqrt (x) ) at the point (4,8)

Find the equation of the tangent line to the curve y=x*(sqrt (x) ) at the point (4,8)? y=?-y = x*sqrt(x) = x*x^(1/2) = x^(3/2) --> y = (3/2)x^(1/2) = (3/2)sqrt(x) At x = 4. y = (3/2)sqrt(4) = (3/2)*2
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