Find all the roots of the equation (1-√3i)72³ - i = √√3 in polar form and sketch them in the complex plane.

Q: Q14: Use the properties of diagonalization of matrices to identify the given conic section:…

A: Given an equation for a conic section: Q: .One can write this equation in matrix form as .Let…

Q: Find a subspace of P(R) complementary to {at³ + Bt7a, Be R}. Find a subspace of P(R) complementary…

A:

Q: Café Michigan's manager, Gary Stark, suspects that demand for mocha latte coffees depends on the…

A: The data shows the numbers of these coffees sold six different price values.

Q: Consider the following. bk = 9bk-1-18bk-2, for every integer k ≥ 2 bo = 2, b₁ = 4 (a) Suppose a…

A: (a) Suppose a sequence of the form   where , satisfies the given recurrence relation and we have to…

Q: 1. Factoring by Grouping la. xy + 2x + y +2 2a. uv + 3u +2v+6 3a. x³ + 2x²+x+2. b. 8rs + 4r + 2s + 1…

A: Since you have posted multiple questions i can do first question as per our company guidelines.…

Q: Find the time required for $5000 to be equal to $23,000 when deposited at 6% compounded monthly…

A: The principal amount, or PV,, its future value If the annual rate of interest is 6%, thenThe monthly…

Q: Suppose that F: M N is a continuous bijection and M is covering compact. Show directly that F is a…

A: Given function  is a continuous bijection and  is a covering compact.We know that a map  is a…

Q: The function f(t) satisfies the ODE and the intial conditions f(0) = −5, d² dt2 -(0)=3. F(s)= | df…

A: Theorem:Suppose that are all continuous functions and  is a piecewise continuous function. Then…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: Mean = 100, Standard deviation = 15.P(X > x) = 0.3694

Q: 9), How many paths are from A to B. You can only travel South and East A B

A: We can only travel South and East.

Q: A car of mass m moving at a speed v₁ collides and couples with the back of a truck of mass 2m moving…

A:

Q: A study was performed to examine the personal goals of children in grades 4, 5, and 6. A random…

A: Observed (Oi)GenderTotalGoalMaleFemaleMake good grades96295391Be popular324577Be good at…

Q: 4) Let the composition of two functions f(x) = sin(x) - 2x² + 1 and g(x) = eº be h = fog. At a point…

A: f(x) = sin(x) - 2x2 + 1g(x) = e0 = 1 h(x) = ()(x)= f(g(x))= sin(g(x)) - 2(g(x))2 + 1= sin(1) - 2(1)2…

Q: The time required to assemble a part of a machine follows an exponential probability distribution.…

A: Given thatThe time required to assemble a part of a machine follows an exponential probability…

Q: Count the number of 1- and 2-dimensional faces in an arrangement of n planes in general position in…

A: 1-and 2-dimensional faces in an arrangement of n planes in general position in To count:the number…

Q: Hermite polynomial

A: Therefore, Therefore, Therefore,

Q: If g(t) has Fourier Transform G(), show that g (t) has transform G (-a).+

A:

Q: 19. Evaluate [2² over the path r(t) = (t², sin(πt/4), et²–2t) for 0 ≤ t ≤ 2. 2xyz dx + x² z dy + x²…

A: Let us consider the given integral is  over the path .

Q: The Venn diagram below shows the 13 students in Ms. Chen's class The diagram shows the memberships…

A: Event A is students in the art club son(A)= 6Event B is students in the dance club son(B)=8Student…

Q: 3. Using the information below calculate the sell-through percent for each item and the total for…

A: We are to calculate the sell-through percent for each item and the total for the departmentTotal…

Q: State the x-coordinates of the inflection points of the curve below. -8 -6 -4 -2 X = X X= 20 y 15 10…

A: A graph is given.Find out the inflection points of the x-coordinate s of the given graph?Inflection…

Q: Numerically integrate and plot the response of an underdamped system determined by m = 150 kg and k…

A: According to the given information,write the equation of motion for an under damped system subjected…

Q: Sketch a contour diagram for the function with at least four labeled contours. Describe in words the…

A: The given functions are:f(x,y)=3x+3y.f(x,y)=xy.We know that the contour diagram of a function…

Q: Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form…

A: The given quadratic form is                                                 The matrix of the above…

Q: Give a combinatorial proof of the identity below. 1-2 (0) 4k = 33 Μ j=0

A:

Q: It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to…

A: At o' clock the body temperature is The surrounding temperature is At  the body temperature is

Q: A lamina occupies the part of the disk x2 + y2 ≤ 16 in the first quadrant. Find the center of mass…

A: To find the center of mass of the lamina, you can use polar coordinates as suggested. The formula…

Q: Standard Normal Distribution. find the area of the shaded region. The graph depicts the standard…

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Q: Class Fare mean 1 2 3 An airline company offers four fairs as shown in the table below. The demand…

A: Given that an airline company offers four fairs…

Q: maya is buying a house for $200,000 she plans to make a 18% down payment

A: Given that Maya is buying a house for $200, 000 she plans to make a 18% down payment.

Q: 7.9. If X has a hypergeometric distribution with M = 3, N = 6, and n = 2, find the probability…

A: Let  has a hypergeometric distribution.And its parameters are:, , and

Q: cos“ I dr 4 sin* I

A:

Q: Consider the following LP problem: Maximize earnings = $0.80X1 + $0.40X2+ $1.20x3 - $0.10X4 subject…

A: Simplex method is a widely used linear programming technique for optimizing objective functions…

Q: Suppose that three microchips in a production run of forty are defective. A sample of five is to be…

A: The provided information is as follows:The sample size is .The total number of microchips that are…

Q: Integrate the given function over the given surface. G(x,y,z) = z over the parabolic cylinder y =…

A: Given parabolic cylinder

Q: Use quadratic regression to find a model for this data. Round your coefficients to the nearest…

A: Using quadratic regression we have to model the given data