Convert ff Incxag) dA.aver. the.regian.cx.

Q: Explain why F, contains a primitive nth root of unity if and only if p = 1 mod n. Hint : Use the dis...

A: To prove  Fp contains a primitive nth root of unity if and only if p≡1mod n (or n divides p-1).

Q: Given the series: Σ k=1 does this series converge or diverge? converges O diverges If the series con...

A: Let us consider the series ∑n=1∞an  The series can be  Convergent Divergent Oscillating 

Q: How many permutations are there of all the letters in the word STARBUCK if. a) the first letter is a...

A: Given word STARBUCK To find The total number of permutations in each case. 

Q: Find the general solution of the differential equation y(4) + 12y" – 64y = 16(2 +5t)e2t. - %3D Selec...

A: Let us consider the differential equation L[D]y=Q(x) Find the complementary solution, by obtaining ...

Q: An RL circuit has an emf given (in volts) by 5sin 3t, a resistance of 6 ohms, an inductance of 0.4 h...

A:

Q: (4) positive integer n is composite without actually factoring n. Then use this method to show that ...

A:

Q: E Valua te ?- 1X+2y) dx dy when.

A:

Q: Hiw-2 Find Zxx if Z =f(usdu= x? y ,V=2xy Exfress the answer interms of Xy, Zu, Zv

A:

Q: Determine all the roots of z8 – 2z4 + 1 = 0

A: We determine all roots of  z8-2z4+1=0.......(1)

Q: 11. Which model seems most appropriate for this scatter plot? a. linear b. quadratic c. exponential ...

A:

Q: What is the maturity value of a 10-year term deposit of $5691.06 at 6.6% compounded annually? How mu...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Show that the solution, of the differential 5x3 is of у — ху? — х*у dy equation: dx xy² – x²y – 2r³ ...

A:

Q: What is the present value? Amount: $3812.75 Nominal Rate: 1.8% Frequency of Conversion: monthly Time...

A: We know the present value formula ,  PV = FV×11 + rtn×t Where , FV = Future value                  r...

Q: (7) Suppose Q is a matrix with orthonormal columns. (a) Show that multiplication by Q preserves leng...

A:

Q: Übtain the solution to the following differential equations: 1. y'+3y=e, y(0)=4 2. y"+7y'+12y= 0, y ...

A:

Q: Samuel sells furniture. He receives a base salary of Php 2400 a week plus a commission on his weekly...

A:

Q: *New Text Document (2).txt - Notepad Edit Format View Help Ln 84, Col 1 100% Windows (CRLF) UTF-8 (b...

A:

Q: Consider the points A(3,-3,3), B(4, –5, 1), C(-2, –4, 1), and D(6,3,-5). (a) Find the volume of the ...

A:

Q: Solve y(x)=1–2x–4x² +[3+6(x-1)-4(x-1)ʻ]y(t)dt it.

A:

Q: Le t the Perametris -given as follows: : 2it) = (t,t², t

A: Introduction: The formula of the line integral for the function f(x,y,z) over the curve C:r(t) is gi...

Q: 2. Determine if the series n n4 + 1 n=1 Σ (-1)3n converges or diverges. 3. Consider the power series...

A: Series and sequences

Q: Consider the three following points of R'. A = (0, 2, 2) B = (1, 1, 1) C = (-1, 1,2) (a) Find the ar...

A: The scalar equation of a plane is of the form: ax+by+cz+d=0, where a, b, c ,d are constants. The equ...

Q: Express the given complex number in rectangular form (a + ib). 1. cos + i sin cOs + i sin

A: Since you have posted a multiple  question according to guildlines I will solve first   question fo...

Q: I need help :( can you please explain how the graph above can be used to solve the equation and what...

A:

Q: Find Ix, Iy and Io for the first quadrant area outside the circle r= 2a and inside the circle r = 4a...

A: Moment of inertia of a region A  about x-axis Ix=∫∫Ax2dA about y axis Iy=∫∫Ay2dA about origin Io=∫∫A...

Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.425 ...

A: Given figure is   where  Area A=1.425Area B=2.56Area C=5.843Area D=1.764

Q: Consider the nonhomogeneous system X': Find a fundamental matrix 4(t) for the associated homogeneous...

A: We will use the basic knowledge of ordinary differential calculus and linear algebra to answer this ...

Q: |°z\+|'z| |*z\-|°z| Z1 +z2 Z 2 +|z. Z3 + z, Prove: If Fs|#/z,) show that ' 4 VI

A:

Q: -2 -1 -4 A = 2 1 4 -1 -4 Find dimensions of the kernel and image of T(7) = Az. dim(Ker(A)) = | dim(I...

A:

Q: dN = -(a - bN)N dt

A:

Q: 2 + 2 + 2 = 6 . 3 3 = 6 4 4 4 = 6 5 = 6 6 = 6 7 = 6 8 = 6 6 6 7 7 8 8.

A: Use  BODMAS while evaluating2+2+2= 63×3-3= 64+4+4 = 65÷ 5+5 = 6

Q: Given the series: 3 k=1 does this series converge or diverge? O converges O diverges If the series c...

A:

Q: H.W: Evaluate the integral: VZ 3y 8-x2-y2 1.fS S dzdxdy 0 0 x2+3y2

A: Since you have posted multiple questions and we can answer one question. So, answered first question...

Q: (d) Consider the following system of linear equations 2x1 - 3x2 + x3 - 3x4 + 2x5 = 6 2x1 - 3x2 + 5x3...

A:

Q: A forest ranger at an observation point A sights a fire in the direction N27°10'E. Another ranger at...

A:

Q: Jackson sells two cars. Each car is priced at Php 450,000 and his commission rate is2%. How much com...

A:

Q: Suppose the random variable x is continuous and has the following cumulative distribution function F...

A: Given- Suppose the random variable x is continuous and has the following cumulative distribution fun...

Q: 2. Country X decides to run a simulation to determine what woukd happen if they went to war with cou...

A: We will use the basic knowledge of differential calculus to answer this question properly, in detail...

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A:

Q: Find the selling price of a DVD set which costs Rs.(Last four digit of your regestration number ) an...

A: The cost price of the DVD set is  Rs.2145. Percentage of increase in price is 30%.

Q: Solve the initial value problem. -2 X' = AX, X(0) = , where A = 5 2 [2 sin 2t+-4 cos 2t] e2t -5 cos ...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Fit a cubic spline to the following data to determine y @x =1.5 2 4 7 10 12 y 20 20 12 7 6. 6

A: Use the following formula, to obtain the cubic spline for the given data. fx=xi-x36hMi-1+x-xi-136hMi...

Q: 2 2 The matrix A has an eigenvalue A = 8. %3D 3 7 Find an eigenvector for this eigenvalue. Note: You...

A:

Q: Let i = [5 3 -2] and i = [0 -4 5]. Find the vector w = 5u – b0 and its additive inverse. [ 13 13

A: Given u→ = [5 3 -2]andv→ = [0 -4 5]

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y =r³ +1, r 1 ...

A: Volume is the measure of the amount of space occupied by a closed surface. The equation for the volu...

Q: Hiw.f Phavethat 22 22=o far the function dy z -2y Coos 2X 2. P cxxy) = Ln JxZeyZ

A:

Q: Do the following sets of vectors span IR? Select an Answer v 1. 6 -12 30 -3 12 -5 14 Select an Answe...

A: Do the following sets of vectors span  R3 Lets solve the problem

Q: Select an Answer 1. 3 -9 15 21 1 -3 7 -2 7 -11 -17 Select an Answer 2. -2 -6 -1 -3 1 4 Select an Ans...

A:

Q: 2 Evaluate į 8x'ax by the Gaussian quadrature method. Tolerance = Nx10

A: The integral given is as follows: ∫028x7dx We are asked to evaluate the integral using the Gaussian ...