Find the quotient of the complex numbers. Leave your answer in polar form. co cos

Q: Find the magnitude of the given vector. (-3, 6, 2)

A: Given,            The vector is <-3,6,2>.To find : The magnitude of the given vector.We know…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Indicate whether the following statements are True or False (write T for True or F for False in the…

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Q: Given Cost and Revenue functions C(q) = q° - 8q + 52q and R(g) = - 3q + 2500q, find the quantity…

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Q: 4- The graph of f is given in the figure to the right. Let A(x) = | f(t) dt and evaluate A(4), A(6),…

A: Integration gives area under curve  area above x axis is positive  area under x axis is negative.

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: This question can be solved using the concept of tangent and normal in vector form.

Q: Suppose a population function P(t)  the following differential equation. P is measured in millions…

A: Given dPdt = P(P-10) The slope field is plotted in Desmos slope field generator

Q: 00 (n+7)! Does the series converge or diverge? 7!n!7" n= 1 Choose the correct answer below. O A. The…

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Q: QUESTION 13 Refer to the graph below. Find the consumer surplus for the demand function, D, when x…

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Q: Convert x = 6 to an equation in polar coordinates in terms of r and 0. (Use symbolic notation and…

A: Given: x=6

Q: Given the function f(x) = 2x – 2, evaluate and simplify the expressions below. See special…

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Q: Use the given vectors to find v•w and v.v. v = 61 - 4), w= - 21 -J v•w= 2 (Simplify your answer.)…

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Q: hW (3 Xy'a4Y) dx + (3 X*y'+2x) dy = o I) sin X dy - Sin 2X -y Cos X dx

A: Given

Q: Sketch the figure of the described situation in the problem and then solve. Determine the equation…

A: Tangent and normal line: At the point of tangency, the normal line is defined as the line that is…

Q: Clairaut's Theorem Give one example of a function where the Clairaut Theorem fails, and justify your…

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Q: Find the area of the region bounded by y = (1/8)(-x² + 6x +7) and y = -6. Answer:

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: - 3 Let f(x) = 8xVæ + x2. f'(x) =

A: Use the derivative for finding the answer.

Q: You record the temperature every hour from midnight until 8:00a.m. You see that the temperatures (in…

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Q: An object moves along a line, where its velocity function is as described by the graph below. What…

A: answer is in next step

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. In(5x) dx u…

A: We will evaluate the given integral as shown below

Q: 2 Use only the fact that 3x(2-x)dx= 4 and the properties of integrals to evaluate the integrals in…

A: The solution is given below

Q: Find the speed of the curve F(t) = (4cos (t), 4 sin(t), 6t) at t = 3 %3| Speed =

A: Consider the curve  r(t)=<4cost2,4sint2,6t>

Q: QUESTION 12 Suppose the demand function D(x) = x² – 12× + 36 and supply function S(x) = x2. Find…

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Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y = 9 and…

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Q: SIL- W : x² + y} < 9, 0<z<6

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Q: Which of the following is NOT a correct way to express the vector v = (2,-4) a) 2î - 4 where î =…

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Q: The region R lies on the lines x – y = 8, x + 7y = 8, x - y =| and x + 7y =

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Q: Determine the following limit at infinity. lim (- 12x-8) Select the correct choice below and, if…

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: answer is in next step . as per guideline i can only answer one question

Q: S- 3 dy 3y - sin n -1 4-9y2 3 A True B False

A: We have to find out

Q: help answering

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Q: L3a²dx = 65 %3D Select one: O True O False

A: We have to find out integration

Q: if X-? yk 2 2 3D5 リ+1 yX Find

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed. Use the symbol o for…

A: Given: limx→∞ln(x)x7

Q: ||r'(t) x r" (t)|| Use the formula k(t) to find k(t). r(t) = eti+e*j 42 est K(t) %3D (36 el2t +…

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: an=n45nlimn→∞ an+1an=limn→∞ (n+1)4 5n5n+1 n4=limn→∞ (n+1)4 5nn4  5n 5

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 10…

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Q: Evaluate the integral using the Integration by Parts formula with u = x, dv = cos(4x) dx. (Use…

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Q: x++ dx 1.

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Q: x+1 1.

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Q: I) sin X dy dx Sin 2X - y Cos X

A: Explanation of the answer is as follows

Q: Write an equation for the ellipse that has vertices (+7,0) and co-vertices (0, +6). Provide your…

A: Vertices : (7,0) and (-7,0)Co-Vertices: (0,6) and (0,-6)Vertices are of the form : (h±a , k)h+a=7 ,…

Q: a) Find the average acceleration in the first 3 seconds. b) The particle changes direction twice.…

A: Here I am providing my handwritten solution.

Q: Jy csc?y dy is equal to A —у сoty — coty dy - Scon dy у сoty coty dy с) -у соѓу+ coty dy D) None E у…

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Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: The directrix is the line y =-3, this is a horizontal line. The vertex is at the origin (0,0), so…

Q: Use the ratio test to determine whether the series is Converyent divorgent or 2" n! (-1)" 5.8.…

A: an=(-1)n 2n n! 5·8·11·.....· (3n+2) When applying ratio test for alternatingseries, the absolute…

Q: 5n

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Q: Complete the following steps for the given function. a. Use polynomial long division to find the…

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Q: A particle is moving in a straight line according to the position function s(t) = t³ – 61² +9t +5, t…

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