Use De Moivre's Theorem to find the identity of the following: a. cos 80 b. sin 90 c. cos 100

Q: 2 Let A and B be 3 × 3 matrices such that A 3 = B 6. The matrix C = A – 2B is invertibl [5] l10. A) ...

A: We want to find C is invertible of not

Q: Express the given complex number in rectangular form (3cjs40) (4cjs80) Answer: a. –6 + 6/3j b 6 + 6/...

A:

Q: Recently, the bowling scores of a certain bowler were normally distributed with mean 202 and standar...

A:

Q: Let A be a 5 x 5 matrix and |A| = 3. The determinant of 2A is equal to 32 48 6. 96

A: Here A is a 5×5 matrix. |A|=3. We find |2A| ,that is determinant of 2A.

Q: Which of the following matrices corresponds to the elementary row operation 3R1 + R2 → R2 on-a 3x3 ш...

A: We want to find matrix with given operation

Q: Construct a box-and-whisker plot f of 18.5, and a maximum of 22. So

A: Given,                    Minimum=12 First Quartile(Q1)=15.5                 Median =17Third Quartil...

Q: The point (2, -1) is on a function. State the corresponding point on the inverse relation. a) (-1, -...

A:

Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

A:

Q: If A and B are nXn matrices, then (AB)²=A²B? A True

A:

Q: Use the Newton-Raphson method to obtain successive approximations of v2 as the ratio of two integers...

A: Newton's Raphson method

Q: Obtain the general solution valid near the origin: x(x − 2)y" + 2(x − 1)y' − 2y = 0

A:

Q: 1 3s 11. Set F(s) = +e s/2 +s s2 +1 {, 0 7/2 1+ cos r, (a) 1+3 sin x - cos r, 0 n/2 1- cos x, (b) 1+...

A:

Q: Problem 7. Let Q(3, 1, -6) and let I be the line passing through the point Q and perpen- dicular to ...

A: We have to find the equation of line L.

Q: Which of the following is a solution of the following equation valid near the origin for x>0? 2x2(1-...

A: There are two solutions , from the given options we choose one of the solutions.

Q: If T : R^3 -> R3 is a linear transformation defined as T(x, y, z) = (x + 2y, y + 4z, x + 3y + 4z), f...

A:

Q: Which of the following matrices corresponds to the inverse of the elementary row operatio 3R1 + R2 →...

A: We have to find true option

Q: A rectangular tank with a square base, an open top, and a volume of 27,436 ft° is to be constructed ...

A: Let the dimension of the tank be x ft×x ft×y ft. Given, volume=27,436 ft3. ⇒x2y=27,436⇒y=27,436x2 He...

Q: Determine whether or not the given vectors in Rn form a basis for Rn a. v1 = (2, 0, 0, 0), v2 = (0, ...

A:

Q: Prone the tollowing Stadement . Fa any integes thint comesder h as odd & also n as even) n22, n3 is ...

A:

Q: A lamina (flat plate) bounded by y = Vx , y = 0, and x = 27 with uniform density p = 8. a) Find the ...

A:

Q: Using the disk method, find the volume of the solid generated by revolving the region bounded by the...

A:

Q: A matrix A can have many row echelon forms. ... True False

A:

Q: 2. Draw the graph z = - cos(y) for 0 < y < 2n, and then use it to help you sketch solutions of y' = ...

A: Firstly we draw the graph of z=-cos(y) for the given interval. Then we find the critical points and ...

Q: Suppose that the following matrix A is the augmented matrix for a system of linear equations. 1 2 3 ...

A:

Q: Which of the following is not in reduced row echelon form?

A:

Q: Find a value a > 0 so that the graph of the exponential function f(x) = a" contains the point (3,1/2...

A:

Q: -2 -1 2 01 4 5 3 21 3. Which of the following 5] 1 -31 , B = B. and C = Let A = -1 6. 2 4 is the thi...

A:

Q: diffrentfal Equatton 2c05(5t+ 1•0472) UL4) %3D %3D where ultl Unut stop funchion finell the compleme...

A:

Q: Given the trapezoid below find the measure of GH.

A: Given,        

Q: Write the following sentences in symbolic logical form: 1. If Tom is Anne's father, then Joe is her ...

A:

Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate the...

A: Given: hx=x4 To approximate the values of 34 and 44 using linear approximation of hx. Note: the line...

Q: Solve J. e-t sint dt. 0,

A: Introduction: The Laplace transformation is very useful in determining the integral. The Laplace tra...

Q: Determine u(x,t) para o problema abaixo: a2u 25 ax2 u(0, t) = u(16, t) = 0, t>0 u(x, 0) = 0, du(x, 0...

A:

Q: Solve the solution of this equation using frobenious method, 2x² C\-x)y'l - x(i+ 7x)y'+y=O y= 5x+ Σ ...

A:

Q: Let R = R \ {-1} and define the operation ♡ on R by a♡b = ab + a + b Va, b E R. Show that (a) ♡ is a...

A:

Q: Obtain the general solution valid near the origin: x(х — 2)у" + 2 (х — 1)у' — 2у 3D0

A: The differential equation has singularity at the origin. So we find the solution by Frobienius metho...

Q: (-글 +V) Evaluate the given equation z (bar) where z = Answer: a. - b.-- V 1 C. d. 을 +

A:

Q: Problem 1: Prove that any (simple) graph with |E| < |V| –- 1 is disconnected.

A: We know that the minimally connected graph of n vertices is a tree.  A tree with n vertices has (n-1...

Q: -2 -1 2 01 4 5 3 21 3. Which of the following 5] 1 -31 , B = B. and C = Let A = -1 6. 2 4 is the thi...

A:

Q: For each of the following, write TRUE if the statement is always true. Otherwise, write FALSE. (a) I...

A:

Q: 2. Find the equation of the normal line to the graph of el tan(ry) – In(x² – 3y) = sin (7x) at the p...

A:

Q: In a certain general assembly, three major prizes are at stake. In how many ways can the first, seco...

A:

Q: -2 Use Gauss-Jordan Method to find the inverse of -4 1 -1 1 1

A:

Q: Consider f(n)=7n+8 and              g(n)= n2 Is f(n) = Ω (g (n))?

A:

Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (2, 4, 6), (6, 3, 2)}...

A: We determine whether S is a basis for the vector space R3,  S = {(0, 0, 0), (2, 4, 6), (6, 3, 2)}.

Q: Consider a quadratic interpolating polynomial g(x) obtained by Newton's divided difference method on...

A:

Q: Find a differential equation whose general solution is y = cje% + cze¯74. = 0

A:

Q: There are 4 different Mathematics books and 5 different Science books. In how many ways can the book...

A:

Q: For a square matrix A, AAT = AT A. A True В False

A:

Q: 8x²y" + 10xy' – (1+ x)y = 0

A: