COMPLEX NUMBERS arctan(3-3i) = ?

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

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Q: Evaluate the integral | (2x + 9y)dx + (21x – y)dy along the parabolic arc y = x from (0,0) to (1,…

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Q: Problem 12.1.6. Show that each of the following sets countable. (a) {2,3, 4, 5, ...} = {n}2 (b) {0,…

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Q: A pilot wants to fly on a bearing of 656. By fying due east, she fnda that a 4.7mph wind, bowng from…

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Q: Determine the particular solution of the given differential equation: y" - 4y +3y = e' + t? O y, =…

A: The solution is given as

Q: 14.

A: The given matrix is A = -1-201

Q: Find the location of the point A after a translation of 9 units up. DELETE RESET UNDO POINT 4 B 3 -6…

A: We want to find location of point A after translation.

Q: Find the coefficient of x^23 in (x^3 + x^4 + x^5 +...)^5?

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Q: a to graph the region. Also if the evaluation of the double integral is very complicated, you can…

A: Introduction: The formula of the green's theorem is given by, ∫C(Pdx+Qdy)=∬D∂P∂y-∂Q∂xdxdy.

Q: Consider the function f(x) = 2,/T +2 on the interval [2, 5]. Find the average or mean slope of the…

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Q: By using variation of parameters, what is a possible value for u' for the differential equation y' +…

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Q: Express (-2/3+ j2) in rectangular form.

A: Rectangular form of the given complex number

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Solve the given linear system. -2 5 X' = -2 4 X(t) =

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Q: 10z? + 7z – 12

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Q: Observe that 213 = 8192 8191 + 1, and 8191 is prime. Use this data to compute an eight-digit perfect…

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Q: What is the coefficient of x^n for the generating function (1)/(1+x)^2?

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Q: alve for y" (2) : y" - ấy = 0, y(0) = 12, y'(0) = 0

A: Differential equation and it's solution by using Laplace transform

Q: a. Find the vertex of the following quadratic equations. b. Determines whether the vertex is a…

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Q: Consider the following Cayley Table defined by the binary operation M. M y y y y y а. Is M…

A: (a). Since the Cayley table is symmetric about the principal diagonal, so M is commutative. (b).…

Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

A: Let s(t) = t3 -6t2 -15t+60  Then velocity v(t) = s'(t) =3t2-12t-15 =3(t2 -4t-5)  =3(t+1) (t-5)  If…

Q: If all fruit bearing plants are flowering plants, and all flowering plants attracti nsects. Which of…

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Q: Ex. (12) Solve [D2+3D -4]y=2sin (5x) Sals-

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Q: Let -4 -6 4 6. A = 6. 2 -2 -6 Find an orthonormal basis of the kernel of A.

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Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

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Q: In Exercises 13-16, determine whether the matrix is strictly diago- nally dominant. 13. .3 14. 5. 12…

A: Given matrix is 2135

Q: Lesson 4. 9. Write the amplitude, period, horizontal shift, and midline for each function: a. y =…

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Q: Question 2/8 The point Z (3, -3) is rotated 180° counterclockwise around the origin. What are the…

A: The given point is Z(3, -3)

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Let P denote a matrix whose columns are eigenvectors K,, K2, ..., K, corresponding to distinct…

A: Given that P is a matrix whose columns are eigenvectors K1,K2,.....,Kn corresponding to distinct…

Q: y" – 4y' + 4y = (12x² – 6x)e2*

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Q: luate the integral by making an appropriate change of variables. /| 3(x + y) cos (x? - y²) dA, where…

A: Introduction: The formula for the double integration is given by,…

Q: ||r(t) × r"(t)|| Use the formula «(t) to find «(t). r(t) = ti+t'j K(t) =|

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Cunsider the following two sets ef numbers. 7, 9, 11, 13. 15 and 8, 10. 11, 19, 27 (a) Calculate the…

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Q: Find the work done by F over the curve in the direction of increasing t. Work means line integral F…

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Q: Solbing linet differential equartions X dy 24

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Q: Find the area enclosed by one loop of the lemniscate with equation r2 = 49 cos 20 shown in the…

A: To find the area enclosed by one loop of the below polar curve. r2=49cos2θ

Q: Are the following statements logically equivalent? Justify your answer.  a. A real number is less…

A: Solution

Q: Find the work done by F over the curve in the direction of increasing t. F = -8x i + 9x 3y 4 j +…

A: The word done by the vector field F along the curve C is given as, w=∫C F· dr  The differential form…

Q: Find the missing digit in the number 1234x34780 if we know this number is a multiple of 9

A: Introduction: If the remainder is zero, a number is said to be divisible by another number.…

Q: 2 - 2)2

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Q: Find the minimum and maximum values of the given objective function, subject to the indicated…

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Q: Using Modified Euler's Method, approximate the initial value problem for various values of x given…

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Q: Find the solution to y - x +t y' = y if æ(0) = 1 and y(0) = 4. a(t) : help (formulas) y(t) = 8, help…

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Q: Prove that a natural number (an-1an-2a1ao)10 is divisible by 9 if and only if the sum of the digits…

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Q: 9. Which of the following complex number is on the third quadrant? O z = 3 + Oi O z = 2i - 3 z = i -…

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Q: Use Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above.…

A: Given that  Fx,y,z=i+x+yzj+xy-zk and C is the boundary of the part of the plane 5x+4y+z=1 in the…

Q: Solve the initial value problem y"-10y'+50y-D0 for y(0)=1 and y'(0)=5. After getting the equation…

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Q: нatrix A 3D |2 5 2 -4 -1, suppose azn is the pivot. This means that Row ? v is being zeroed out by…

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Q: Problem 12.1.9. Prove Theorem 12.1.8. Theorem 12.1.8. Show that Q is countable. in-context

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