n3" E(-1)"; 22n+1 n=1

Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

A: The given problem is to show the given sum and product of two complex numbers in terms of polar coor...

Q: Fpuation: 16

A:

Q: Detremine the Inverse Laplace of the ff: F(s) = 2s - 1 s2 + 4s + 8 show complete solution

A:

Q: What is the transformed equation for y = x2 when it has been translated down 7 units? %3D Oy-(x-7)2 ...

A: To find the translation of function y=x^2

Q: Evaluate the given integrals. Sx-2 (cot) (log,sin-) dx 7.

A:

Q: 2. Find the Laplace transform of the following functions. (Use the table.) (a) g(t) = 2e“ + 21²e“

A:

Q: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. Show that A x (B x...

A: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. To show :-A x (B x...

Q: Find the root of 2x3 – 2x – 5 = 0 by using the fixed point iteration method. |

A:

Q: If A = -9 -31, then what is I + 2A + 3A² + 4A³ + 5Aª + ... ∞? 3.

A: We use definition of nilopotent matrix.

Q: V f(x = - (x – 8) (x – 15) V g(x) = -x + (10,15) 15 V Label: (10, 15), (14,9) V Label: 10 (14, 9). P...

A: To find the area of region enclosed by functions f and g

Q: The arduous task of combing and tying up long hair and a desire to assimilate has led to approximate...

A: Given - 25% of Sikh youths do not wear turbans. To find -  P= Probability of an Event x a) P(x=2) b)...

Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

A:

Q: 3 3 = 0, then x = ? Зх — 8 13. If 3 Зх - 8 3 3 3 3x – 8|

A:

Q: (7) What is the value of the series Σ 2 Tn + 1)2"+1 -? Justify your answer. n=0

A: Solution is below.

Q: Which of the following is NOT proportion? * A. 25:100= 1:4 B. 7:8= 21:24 C. 9:12= 3:4 D. 13:26= 1:3

A:

Q: Given the initial conditions x(pi/2)=0 and x'(pi/2)=1 Being the ODE: x''+ x = 0 and its family of so...

A:

Q: 1 1 1| |1 1 1 15. If A =|1 1 then A2018 =_A?

A:

Q: Compute sin z dz , where a is the piece of the parabola with equation y= a?, which lies between the ...

A:

Q: Equahon: Anawer: 52%/ao

A: Cosine angle in right angle triangle

Q: 2. For the set of equations 2x, + 5x, = 1 2x, + x, + x, = 1 3x, + x, = 2 (a) Compute the determinant...

A:

Q: Ursula polled her classmates to see what their favorite kinds of juice were. Eight times as many stu...

A: Solution

Q: Show that the solution u(t, x) of the initial value problem du +ar-; du t > 0, x € R at u(0, x) = f(...

A:

Q: The population of a town, t years from now, is modelled by P(t)= t3 -7t2 +7t +115 where P(t) is meas...

A: Solution

Q: If F(x,y,z)=1i+2j+3k, then O1. P=1 Q=2 and R=3 are vectors of F. O II, P=1 Q=2 and R=3 are gradient ...

A:

Q: sec x + cosx csc csc x csc? x secx cOS X cos? x cos x cos x f f(x)dx _ , then If f(x) 1

A: f(x)=secxcosxsec2x+cosxcsc2xcos2xcos2xcsc2x1cos2xcsc2x

Q: Simplify: i29 + i?1 + i2050 in form a + bi.

A:

Q: On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the...

A:

Q: 7- A SOlidconsistof a cone.of radusY- and Gone o O7 radiu5Y- and height h and a hemis Pher of radius...

A: We know,  Volume  of cone = 13πr2h And Volume of hemisphere = 23πr3 Thus, Volume of given solid = Vo...

Q: a. For what vaiue(s) of a are the vectors r= (3, a, 9) and y (a, 12, 18) collinear? b. For what valu...

A: Collinear and perpendicular vectors

Q: 12. Let A be a 3×3 matrix, and suppose that the matrix B is obtained from A by the following row ope...

A: Remark: Effect of elementary row operation on a matrix: If two rows of a matrix are interchanged, th...

Q: t+/t+vE lim t→+∞ Vt+1

A:

Q: ze and dz Draw a dependency diagram, and write a chain rule formula for where z = k(n) and n= f(r,s)...

A:

Q: Describe (in the form y = (x)) the images of the lines u = 6 and v = 6 under the mapping G(u, v) = (...

A: Solution

Q: Prove that the cartesian product of a countable set is countable

A: This is question related to set theory's topic countability.

Q: 51 3 2 LO

A: Z transform of the function

Q: A ball is shot upwards from a cannon which is on a platform 180 m high. The height, h, in meters, of...

A:

Q: If 72 students which represent 2/3 of the class participated in the Alay Lakad, how many students di...

A:

Q: 3x lim 20 et – 1

A:

Q: Зх — 8 If 3 = 0, then x = ? 3 3 Зх— 8 | 3 Зх — 81 3.

A:

Q: Using De Moivre's Theorem, solve the following; z5 = 1– 2i

A: We have to find the roots of complex number.

Q: The topic is algorithms and analysis so the proof should be along those lines I think. Thank you! 2....

A:

Q: a solid is obtained by rotating the region bounded by the curves y = x-1/2 1 and y = 1 about the y-a...

A:

Q: Find a particular solution to the differential equation. x(t)”-4x’(t)+4x(t)=te^(2t)

A:

Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

A:

Q: 20. Wind Chill The function cruf=0.013 w--W-2 estimates 1e wind tempercture D°F for wind Speedds w f...

A: For the solution follow the next step.

Q: etermine the intervals where the function f(x) = x 2 e −x is increasing and where it is decreasing

A:     Determine the intervals where the function f(x) = x 2 e −x is increasing and where it is decrea...

Q: A large mixing tank currently contains 110 gallons of water into which 6 pounds of sugar have been m...

A:

Q: Find the absolute extrema (max and min) of the function f(x) = ex 2−4 on [ -1,2]

A:

Q: Find the value of x that intersect to the given equation.. 2x1 + 5x2 = 16 3x1 + x2 = 11

A: Given that  2x1+5x2=163x1+x2=11 We have to find the value of x=x1,x2 that intersects the given equat...

Q: Solve the boundary value problem. y"+ y = x2 + 1, y(0) = 5, y(1) = 0

A: We solve the given boundary value problem  y"+y=x2+1.......(1) y(0)=5,y(1)=0