Express 7 (cos 300° – i sin 30°) in polar form.

Q: Problem 1: Given: -2,3,8, 13, ... Find the following: (a) 6th term of the sequence; (b) an formula…

A: Here we use arithmetic progression.

Q: 3. Find the dot product of à = and B =. 4. Find the scalar product of P = 10î – 4f + 7k and Q = -2î…

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Q: of all sequences that are "eventually zero," that is, al

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Q: 21 [x] -308 X If (2x 3 0, then the value of x is 23 2 13 2. 2 13 3. 2 23 4.

A: Given equation 2x312-30x8=0. We have to find the value of x. Zero matrix A zero matrix is just a…

Q: 2 = 1+ 2i 2- i and w = what is z + 3w ? a. 7+i C. 5+ i b. 7-i d. 5-i

A: Solution

Q: Solve this ODE using the Frobenius Method x*y"+x°y'_2y = 0

A: In the Frobenius method we will start by assume a solution of the form  y=xk∑n=0∞anxn

Q: Given [1 4 1 -3 -1 A = 3 4 -6 8 0 -1 3 Find a basis of the range of A.

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Q: 2. Determine a basis for and the dimension of the solution space of the homogeneous system X3 + X4 +…

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Q: y'sec*xdx – (1– 2y'tanx)dy = 0

A: We solve the given DE  y3sec2xdx-(1-2y2tanx)dy=0.......(1)

Q: Use Simpson's rule to evaluate the integral S (x2 + 4x) dx by dividing the interval into N = 4 equal…

A: The interval of integration is 2,4. The length of the interval is 4-2, i.e. 2. The value of N=4.…

Q: . Use Taylor's neries, to prove that ein z tan (x+ h)3tan" % + (h sin z). sin 3z sin 2z + (h sin zj…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Introduction: In three dimensional geometry, a line has three different types of equations. These…

Q: ) (4,0) ) (이14) ) (4,시) S. x* dy - 2y dx whare L is 2° J. circle arc x+y% =1, x >O X 70

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Q: Solve the dy *+g+ 3 differential %3D equation.

A: The given problem is to solve the given differential equation. Given differential equation dy/dx…

Q: Find the solution. (D + 602 + 110 + 6)y = 0 A y = c,e-2«, +c,e y = c,e '+c,e -3x c) y = c ,xe" + c,e…

A: Consider y=emx be the solution of the given differential equation. Differentiate the equation y=emx…

Q: On a garage sale, a hoodie jacket costs ₱795 after a 75% discount. How much is the original price of…

A:

Q: Consider the sequence {a„} where a, is given by (n³ – 1)/nº, (n² + 1)/n², if n is even. if n is odd,…

A: The given question is related with  sequence. Consider the sequence an , where an is given by…

Q: 1 7 8 r5 1 2 -2 3 5 -6 -9 12 -2 -3 -4 0 -9 -7 -8 -4 1 A B 5 [10 -11 1 3 4 С %3D diag(6, —4, 13, -15)…

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Q: How Long Will It Ta

A: Given, A veterinarian has instructed Harrison to give his 75-lb dog one 325-mg aspirin tablet for…

Q: You are charged $177 for a new bicycle. Assume sales tax is 7.6%, what was the original price for…

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Q: 2. Given matrix M below, sin? A sin A cos A cos² A M = |sin? B sin B cos B cos² B Lsin² C sin C cos…

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Q: = The value X3 .3 -2 x1 + 6 x2 + X3 – X1 +x2 + 7 x3 = -6 4x1 – x2 – X3 = 3

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Q: Ax) = Ln=0 n! e Show that: GAx)dx = En=1 n(n+1) (–2)"-1 (n +2)! ||

A: Here we use integration and series theorems to find the solution.

Q: 3 4 f(x) 0 2 4 6 8 10 12 14

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Q: 'What Is Ci-a a. l17 + 44 b.117-4i C. 44 ti17 d. 44-1171

A: complex problem

Q: Find the Laplace Transform of f(t) = cos? 3t A F(s) = -+ s2+36 B F(s) = 2s?+36 s²+36 , © ru) - :)…

A: We have to find the Laplace transform of f(t)=cos23t .

Q: Find the future value, using the future value formula and a calculator. (Round your answer to the…

A:

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

A: Given : the equation of a plane is  x-y+z=5  and the line passes through (1, -4, 1)  and (4, -10,…

Q: f(x)=x3-7x²+8x-3 iF Xo =5

A: Using Newton-Raphson Method we determine the approximation to the solution, where  f(x)=…

Q: 1 1 1 -1 2 1. A = 1 -1 2. 1 3. 3 2 -10 0 -10 -5 0 10 0. 0. 2. B = -2 6. 4 -5 -4 -2 From the given of…

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Q: what Is the conjugate of Js -J2i ? a. Jo -Joi d. -i b.Ja -ぶ

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Q: Vy E R Ja E R [ (x² + y² + 1)ª+y+1 = 1] O True O False

A:

Q: 1. Testthe convergence of the power series below: (n – 1)2 -(2x + 1)" 3"-2 Calculate the following:…

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Q: Q7-8. Is it possible to convert a present value of an ordinary annuity table to the present value of…

A: Given:To convert  a present value of an annuity of an ordinary table to the present value of an…

Q: Given two lines L1 : x =t+1, y = 3t + 1, z = 2t – 1, and L2 : x = 2t – 2, y = 2t + 3, z =t +1,…

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Q: Match graphs A-D in the following figure with the functions below. Assume a, b, c and d are positive…

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Q: 5. Let A 3D, В %3 and C %3 Find a) (A · B)C b) А : (2С) c) ||B||2

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Q: Given y1 (t) = t° and y2(t) = t¯1 satisfy the corresponding homogeneous equation of t°y'" – 2y = - t…

A: The solution is below.

Q: Which of the following gives the minimum cost assignment for this problem? O Taxi A picks Customer…

A: Given:A taxi company has four available taxis (A, B, C, and D) and four calls for taxi service (W,…

Q: HW Problem 32. various reasons. Suppose this figure was obtained from a random sample of 20…

A: Because of less sample size we use T distribution.

Q: gcd(334'517º, 210579l1312). Determine the value of æ. Let x O 5 O 180 O 20 O 60 O 220 O none of the…

A: The given problem is to find the gcd of the given two numbers in the exponent form. Given…

Q: 5 =DA

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Q: Draw a colored ball from the bag. There are five balls of different colors ( red, blue, pink, green…

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Q: The measure of arc BC is 97 degrees. What is the measure of angle BCE to the nearest 100th? C D Type…

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Q: investment products were made available to the small businesses and single entities. These…

A: Here we generate a equation then solve that.

Q: Using the theorem on determinants, show that a a? b b2 1 |1 A = 1 (b – a)(c – a)(c – b) - C

A: We have to show that A=1aa21bb21cc2=(b-a)(c-a)(c-b) by using the theorem on determinants .

Q: A particle travels along the x-axis such that its velocity is given by v(t) = ť2.³ sin (t – 1) .…

A: velocity of a particle along the x-axis is given by vt=t2.3 sint-1 claim- find all the times when…

Q: Evaluate |[A.ndS where A = 2xyi+yzj+xzk and S is the surface of the region bounded by x = 0, y = 0,…

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Q: Please answer the question in the attached file.  The more steps the better as I'm not confident…

A: We determine weather for a homogeneous system of rank r and with n unknowns, the dimension of the…

Q: REGIONS/SCOPE. Determine the regions occupied by the curve. y= x^2 / (x-1)

A: To determine the region occupied by the given curve: y=x2x-1