show that the mapping w = (1 − j)z, where  w = u + jv and z = x + jy, maps the region y > 1  in the z plane onto the region u + v > 2 in the  w plane. Illustrate the regions in a diagram

Q: Q4:B/Simplify [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's theorem?

A:

Q: Consider the following polynomial functions. Answer parts a through f below. f(x) = (x-7)(x-8)(x +9)…

A:

Q: 5πT 4 Convert the angle from radians to degrees: 5πT 4 O

A:

Q: 27. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

A:

Q: Book Problem 24 If F(x) = f(t)dt, where f(t) = Stº F"(x) = Note: You gon I √7+u² U du, find: and F"…

A:

Q: Integrate: x² cos(2x) dx

A:

Q: Let f(x)=10-3x². Find the average rate of change of f(x) on each of the following intervals. (S…

A: Function

Q: Find the general solution of the given differential equations by the concept of Exact DE and…

A:

Q: Q3: Solve the differential equation subjected to the condition y(e)=e² and give the result in…

A: Let's solve given differential equation.

Q: (a) Prove, by mathematical induction, that for every positive integer n, 2²² =2²(n+1)²,

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Given that lim f(x) = 1 lim g(x) = −4 lim h(x) = 0, find the limits, if they exist. (If an answer…

A:

Q: 1337 + (2) =?

A: We have to find the value of given complex number.

Q: Given the functions f(x)=x²-3x+2 and g(x)=8-2x, write the integral to find the area of the region…

A: f(x)=x2-3x+2 g(x)=8-2x First of all, we have to write the functions in terms of y. Consider the…

Q: I f²f³ e dxdy

A:

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A: y =tanx y'''=2(y2+1)(3y2+1).

Q: Q4:B/Simplify [cos 20-i sin2018 [cos 30+ i sin30 1² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De…

A:

Q: A bicycle tire inner tube producer can sell 1111 inner tubes at a price of $1.54$⁢1.54 per inner…

A: Given problem:- A bicycle tire inner tube producer can sell 11 inner tubes at a price of $1.54 per…

Q: for the following P.d.f of x, find the p(x<1) and p(|x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other…

A:

Q: O Find the result of the following: 1. (3-4)³=? (Put your result in polar form) 2. 0.602×[(9/2) =?…

A: Note as per guidelines we support only 3 subpart of the questions.kindly repost next question in…

Q: 1337 (2) =?

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

A: Given:- y1=x-33 , y2=x-3

Q: Calculate the means and standard deviations of:1, 2, 3, 4, 5 O a. a. mean = 3; st. dev. = 1.414 O b.…

A:

Q: 3π Convert the angle from radians to degrees. 4 degrees

A:

Q: Rewrite the differential equation as. dy y(x+2)-(x+2) dx y(x-3)+(x-3) = (x+2)(y-1) (x-3)(y+1) dx (1)…

A:

Q: 3. Find the derivatives of the following in two ways: -by evaluating the integral and…

A: This is a problem related to integration of the function. Please follow the procedure given below.

Q: Find fogo h. f(x) = g(x) = x³, h(x) = x + 6

A:

Q: Needed

A:

Q: Given the integral: In(x) x² da

A:

Q: Needed to be solved correctly in 10 minutes and get the thumbs up please show neat

A:

Q: Q2:/ Sketch the region (R) of integration S x² dydx and evaluate the integration. Then reverse the…

A:

Q: Find the center and radius of the circle. (x - 3)² + y² = 36 center (x, y) = radius Sketch the graph…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) X-8 lim X-8 x² - 64 STEP 1: Factor the…

A:

Q: The angle between 0° and 360° that is coterminal with the 1545° angle is degrees.

A: Ans = 105 degree  For detail go through the solution ...I have solved in detail

Q: Evaluate the function g(x)=x²+4x for the given value of x. g(x+3) g(x+3)= X S

A: given that, g(x)=x2+4x evaluate g(x+3)

Q: 1. Evaluate the following integrals. d. f(r+1)³dr C. 3/4 fese xcot xdx /4

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Identify the special angles above. Give your answers in radians, using pi for and in the range…

A: As shown in diagram, we can conclude on following step.

Q: Find y' for sin x+sin y = 1. Find y' for xcos y=sin(x + y).

A:

Q: Book Problem 31 Find a function f and a positive number a such that f(x): a = = + [² 2+ f(t) dt =…

A:

Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: This is a problem related to probability distribution function. Please follow the procedure given…

Q: The function f is continuous where f(-5) = -1 and f(5) = 6, and g is a function defined by g(x) = 1…

A:

Q: Find the x- and y-intercepts of the graph of the equation y = √x + 9 x-intercept y-intercept (x, y)…

A: y=x+9

Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 5…

A:

Q: 4. Perform the indicated operations. Use principal arguments throughout. (a) [22(x/3)].[32(x/2)] (b)…

A: (a) We have to evaluate 2∠π3.3∠π2

Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

A: This is a problem related to probability distribution function. Please follow the procedure given…

Q: 6. f is a function that is differentiable for all reals. The value of f '(x) is given for several…

A:

Q: A random variable, z, has p.d.f. f (z) = e¯², 0 =< Z < 1. Calculate the expected value of z. a. b.…

A:

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

A: Solved below as per the definition of given terms.

Q: 2. Solve the initial value problem x' = (t+1)/√t, x(1) = 4.

A: Given, x'=t+1t, x(1)=4

Q: 22 e 1-§ 2(2-21) ² c: |z_11 = 1/2, 17-11-2

A: The given integral I=∮Ce2zzz-2i2   ;  C=z-i=12, z-i=2 Cauchy integral formula:   suppose that C is…

Q: 3. Find y' for y = cos(sin² x)

A: