Consider vectors C = 5a, 3a + 2a and D = 3a, - 2a0 – 4a in spherical coordinates. (a) Transform C and D to rectangular coordinates if they are located at (5,30°,60°). (b) obtain the addition, subtraction, dot product and cross product of C and D in spherical coordinates and rectangular coordinates.

Q: In a dance crew with 32 members, 9 are are part of unit A, 10 are in unit B, and 6 performs solo. 3…

A: Given: Dance crew - 32 members Unit A - 9 members Unit B - 10 members Solo performers - 6 members To…

Q: ЛХ B: Solve the equation f(x) = e-* + sin Xo= 0. use Newton Raphson Method,

A:

Q: Evaluate and express in Polar Form b. E= (8 - j5)¹/3

A:

Q: Show that the transformation T. R² R² that reflects points through the horizontal x₁-axis and then…

A: The standard matrix of the transformation that gives reflection about the horizontal x1  axis is…

Q: Let k (x,y) = e4x cos (x + 2 y). Considering any value for (x, y) an element of the domain of k,…

A:

Q: Let us divide the odd positive integers into two arithmetic progressions; the red numbers are 1, 5,…

A:

Q: Operation of Complex Number Given the following complex numbers, evaluate the following operations…

A: a. T=j06-j08+j2022 b. E=8-j51/3 c. M=ej1.570796-4 d. A=cosh3-j4 e. P=sin5∠-306.8699° f. X=81∠30°

Q: Common monomial factor 7w^2-16w

A:

Q: Q4. B. Find the tangential vector (T), normal vector (N) and binomial vector (B) for the position…

A:

Q: Solve for the triple root of the given function using Modified Newton-Raphson. Use x₁ = 5.5 and…

A:

Q: 1. Determine the dau of the given fi Note that som (a) x' = tan sin (d) x' = COS (g) r' = 2x² 2x (j)…

A:

Q: 4.2 Related Rates (#differentiation) Solve the following problems using the related rates method.…

A:

Q: A W C р 3 a 6.0 g h f B

A:

Q: Prove that if n is composite, then n has a prime divisor p satisfying p ≤ √n.

A:

Q: The rabbit population on a 73 -acre wildlife preserve was 22 on January 1,2012 . a) Assuming the…

A:

Q: Given u and v, find proj, u. u = [4, 6, 5] v = [0, -7, -6] proj, u = Ex: 1.234€, Ex: 1.234, Ex:…

A:

Q: A brine solution of salt flows at a constant rate of 6 L/min into a large tank that initially held…

A:

Q: 2. For each of the following sequences, determine whether or not a graph exists that has this degree…

A:

Q: Find the Laplace transform of this periodic function 1 0.5 -0.5 -1 1 2 3 4 5 6 7 8 9 10

A:

Q: Solve the ordinary differential equation 2xy” + (1 - 2x2 )y' - 4xy = 0 . Then evaluate the first…

A: To solve this ordinary differential equation we use substitution method. Then we find y(x)  Then we…

Q: y²dx + x(x+y) dy=0

A: This is a homogeneous differential equation.Substitution x=vy .

Q: Show that the following limit does not exist: lim xy ³ (x,y)→(0,0) (3x² + 2y³)²

A: A limit in two variables exist only when we get a unique value of the limit irrespective of the path…

Q: OA. There is only one vector, which is x = OB. X3 OC. x₁ OD. X3 + X₁ +x₂ + X₁

A:

Q: 8x - 7y + 10z = 15 2x + 3y + 8z = 7 -4x + 5y - 2z = -9

A: Given: The below system of linear equations, 8x-7y+10z=152x+3y+8z=7-4x+5y-2z=-9 To find: The…

Q: 1. For each of the following, give two equivalent statements that will guarantee that a. A system of…

A: A system of equations AX= b  ( A is m x n matrix ) has a solution   if and only if rank(A) =…

Q: X-(² -Ex.3. Find the equat

A:

Q: I.B. Sketch the graph of a function f satisfying ALL the given conditions. • The domain off is…

A:

Q: Find the amount (in $) of interest and the maturity value of the loans. Use the formula MV = P + I…

A:

Q: (a) Use DeMorgan’s Laws to write the negation of the following statement. Bob lied or I’m the Queen…

A: Solution: (a) (Bob lied or I'm the Queen of England)'      = (Bob lied)' and (I'm the Queen of…

Q: The growth rate of a certain tree (in feet) is given by  y =  9 t + 1  + e−t 2/2,  where t is time…

A: Consider the given function, fx=9t+1+e-t22, n=2 Let a,b be divided into n sub-intervals, each of…

Q: Problem 2. Find the solution matrix (et if the system is a continuous time system and Ak if the…

A:

Q: Simplify the following functions. Show your work: (a) F(A,B,C,D) = Σm (2, 4, 7, 10, 12, 14) (b) F(x,…

A: Given:   (a) F(A, B, C, D) = ∑m(2, 4, 7, 10, 12, 14)(b) F(x, y, x) = ∏M(3, 5, 7)(c) F(x, y, z) =…

Q: y²dx+x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) © xy²=c(2xy) x+y²=c(2xy)

A:

Q: Approximate bsinh ax") do dx C√ x 0 using the first four terms of the series if a = 5, b = 28, c =…

A:

Q: Σ() k=0 1. Give a combinatorial proof of the identity - - 2" by using lattice paths...

A: Given : ∑k=0n nk=2n Prove : ∑k=0n nk=2n

Q: Solve the equation f(x) = ex+ sin use Newton Raphson Method Xo= 0.

A: If y=fx is a function, then the equation in form f(x)=0 is called a transcendental equation. In this…

Q: Complex Variables as: a. b. c. Given the following complex function expressed w = f(z) = 6z² + 8z +…

A:

Q: 15. Even though we will normally use "implies" and "if ..... then... " to describe implication,…

A: Translate each of the following propositions into symbols , using the letters p, q and r and the…

Q: y' + y² sin x = 0 Ans: + cosx = c y

A: We want to solve the given first order first degree differential equation.

Q: 10. Use the graph of f(x) to answer the following questions. Write N/A if it can't be determined.…

A:

Q: lim 8118 30x - 7 √36x² + 7x

A:

Q: 1. Write x(t) in terms of the Heaviside function shown in Figure A x(1) -2 0 1 2

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Given u and v, find compu. u = [−1, 6, -7] v = [2,-4, -8] compu Ex: 1.234 -

A:

Q: Let S be the set of all students at FIU. Determine whether the relation R on S (defined below) is…

A:

Q: Complex Variables as: Given the following complex function expressed w = f(z) = 6z² + 8z + 20-j22 a.…

A: Given : w=fz=6z2+8z+20-j22 To Find :  a . u and v             : b . f(1-j5) and Express in…

Q: Q2. Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) =…

A:

Q: Eliminate A and B from the relation y = Ae²x + Bxe²x

A: To eliminate the constant in the equation use differentiation. As many constant are there as many…

Q: The eight blood types are shown in the Venn diagram to the right. In blood transfusions, the set of…

A:

Q: Eliminate A and B from the relation y = Ae²x + Bxe²x 2x

A:

Q: t(+²-3) x² = C X x³ + (t²-3) = C₁ practice Problem: dy 1) (2²4-y) casx du = ~ Sinax वर e 2) dy…

A: