Write z, and z2 in polar form. z1 = 2/3 - 2i, z2 = -1 +i Z1 Z2 = Find the product zązz and the quotients 1 and . (Express your answers in polar form.) Z22

Q: dy dx cos 9x +y

A: First of all we write the given equation is of the form of linear first order differential equation…

Q: Let A be the point with coordinates (6, 3, 3) and let B be the point with coordinates (5, 3, 4). Let…

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Q: 2. Show that the equations f(r, y,P. q) = 0 and g(r, Y.P. q) = 0 are compatible if %3D %3D a(f,g)…

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Q: Graph the polar equation and find the area of the region. Interior of r = 6+3 sin 0 a.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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Q: Let IIj be the plane with Cartesian equation z=0. Let II2 be the plane with Cartesian equation x=0.…

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Q: Standard Error of the mean used to estimate the population mean, and to estimate differences between…

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Q: 6x²+5 Determine the value of lim,→0 x²+3x+7

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Q: Dims 8. A right square pyramid has 15 cm on a side of its base and the base. lor hexagonal pyramid

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Q: Determine the linear approximation of f(x) = x° at x = 1. a. y= 8x +7 b. y=- 8 x - 7 C. Not in the…

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Q: 6. Consider a control system given by 1 2 2 2 1 3 3 () u, ra, with r(0) (1,0,0). Find a control…

A: The solution is given below

Q: Find the isolated singularities for the holomorphic functions f, g, h. Determine the types and…

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Q: what was the equation though?

A: Note: The previous solution is incorrectly solved. The end behaviors of the function are incorrectly…

Q: a particle is moving on the x-axis with a velocity of v(t) = t^2 - 3t - 18. For what values of t > 0…

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Q: Prove that f(x) = (x – 1)2 + (x + 1)² is an even function. A function k(x) is an even function if…

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Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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Q: Which of the forms would be most helpful in answering questions d-f

A: The various forms of a quadratic equation can be listed as follows. Standard form: f(x)=ax2+bx+c,…

Q: A lumber company owns 2,100,000 trees in the Adirondacks. They intend to harvest 6% of their stock…

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Q: 1. Express E-1 k () 3* in closed form (without using a summation sign or ellipsis).

A: Please check the next step for detailed solution

Q: Consider the following three matrices 0. 1 1 A = C = B = 1 1 1 Matrix C is in RREF OTrue OFalse C is…

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Q: d'r If r = (+ 2t)i – 3e-²j + 2 sin 5t k, find dt2 at t= 0. 12j -12j 12i -12k

A: Use the following formulae, to obtain the solution.…

Q: Prove that the subgroup {o E S5 | o (5) = 5} of Sg is isomorphic to S4.

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Q: The correct answer is 1/2 not 3/4.

A: To determine the area under the curve definite integral is used.  The definite integral is defined…

Q: Calculate the value of (1 + 2i)² and then use this value to find the roots of z – z + (1 – i) = 0.

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Q: You have 200 feet of fencing to enclose a rectangular plot that borders a river on two sides. If you…

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Q: 1 Let B be the surface with equation x = -1+ Y. (a) Provide a hand-drawn sketch of B. Label the…

A: The surface B is given by the following equation: x=-1+12y (a) We are asked to sketch the surface B.…

Q: Given the following function, choose the graph with the two possible angles with the domain 0 < A S…

A: Solution

Q: у? %3D —х,х? + 3у + 4x + 6 %3D 0

A: To find the area bounded by the curves  y2=-xx2+3y+4x+6=0

Q: 2. Use the binomial theorem to show that for all integers n 2 1, 3" = 6) + 2 (4) + 2ª (") + 2" (")

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Q: Psychologists have found that an equal number of students rate the following qualities as most…

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Q: Consider the function g defined by 1 g(x, y) = cos (Ta V) + log3 (r – y Do as indicated. 1.…

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Q: Determine whether the action results in independent or dependent event. Roll a standard number cube.…

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Q: Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to r + y…

A: Solution :-

Q: Date Page 28 uhore Jyln) psthe Bessel's fuction of the first kinf- uf onder Ur

A: To show: The identity, ∫Jv+1xdx=∫Jv-1xdx-2Jvxdx, where Jvx is the Bessel's function of the first…

Q: 28. Bounded by the planes z = x, y = x, x + y = 2, and z

A: Solution:-

Q: f^-1[f[A]]

A: The domain of a function y=fx is a set of possible values of the input variable at which the…

Q: 8 dy zy=9Secotano

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Q: i) find the relative extrema of ?; (ii) determine the values of ? at which the relative extrema…

A: Since 25-x2 is defined -5≤x≤5, the domain of the given function is -5≤x≤5. Substitute fx=0 in the…

Q: 12 months 12 months e months ing 1/31/02 12 months 12 months ending 1/31/03 237 ending ending…

A: In this question, the concept of the graph is applied. Graph The graph of a function is the…

Q: 1. Given a table of data a | 0|1|2 y 153 we want to find a linear function y = 0 +c1x that best fits…

A: We can solve this using given information

Q: Find the definite integral 5 tan(x)dx using strips of width for the trapezium rule correct to three…

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Q: Question 2. Given the iterated triple integral 32-x2-y²x+y² dz dy dx. -4"-V-x2+16 Vx2+y2 a): Write…

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Q: tion 1- ]: ): Determine whether the series 1 Σ (2n- 1)4 n=1 M8

A: According to guidelines we solve one question.

Q: b) Find the general and definite solutions of the first order differential equations (i) dy/dt +…

A: Solution of first order linear differential equation

Q: 1) An electronic manufacturing firm has the profit function P(x) = - x3 +? x² – ADx + A, and revenue…

A: a. Given, Px=-BAx3+DAx2-ADx+A and Rx=Ax3-Bx2-Dx+AD. The relation between profit, cost and revenue…

Q: 5 (b) f (x) = (x – 3) + 1

A: To find the relative extrema of f; (ii) determine the values of x at which the relative extrema…

Q: Use either integration by substitution or integration by parts as needed to evaluate x2+1 -dx x³ +…

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Q: Pidblem 74. Guppose U;Ua-Um are Finíte deningional subspaces prove that U. +hat . OF +Um is definite…

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Q: ) Find the extreme values of the function f (x, y) 2.x2 + 3y? - 4.x - 5 subject to the %3D…

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Q: A quadratic polynomial y = 4x2 +7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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