7. Solve the recurrence relation A, = 4 A2 - 3.A1 subject to the initial conditions A, = 5 and A, = 10.

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

A:

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). %3D %3D = (0, 6) V = a b...

A:

Q: Refer to the stack plot below. The vertical scale is the proportion of sales, (a) Describe the propo...

A:

Q: Use the Laplace transform to find the solution of the ODE y" + 4y = f(t), y(0) = 0, y(0) = 0, where ...

A:

Q: Eguation: Answor:

A:

Q: System of Lincar Eauation Slope Intercopt form Slope (m) Y- Intercept c6) 2x +y = 5 y= -2x +3 2 + y ...

A:

Q: How do u Evaluate 9× (2/9×1/2)

A:

Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

A:

Q: Given the curve: y = 4cos3x – 3cosx, find the following values of x (from 0 to 2pi radians) when a. ...

A: see the attachments

Q: Obtain an asymptotic expansion for I(z) = S e-zy*/2 cos y² dy, as z → 00 along [0, 0).

A: Here, we need to find an asymptotic expansions for I(z)=∫-∞∞e-zy22cos y2dy, as z→∞ along [0, ∞). We ...

Q: |a 16. If A = |1 | and B = Is , then A? = B if a =?

A: To find alpha when A^2=B

Q: A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. About h...

A:

Q: Prove that a set A is countable if and only if there exist an injection of A into N.

A:

Q: 21. z² + (3 – 2i)z + (2 + i) = 0

A:

Q: 21 Find rank (A) cud a besis for column spRce S,CA), row s pace SplA), an od hull space N (A) 2 -1 3...

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: Slne che Disferential Equateos: =x² -x+\ method of wndetermined Eocffidento. byuaing the

A: The given problem is to solve the given linear non homogeneous differential equation using the metho...

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: Series{ 1/n } from 1 to infinity find how many terms are required for the sum to exceed 100

A:

Q: 5. In the differential equation (xy +1)dr+x(x+4y-2)dy = 0, the integrating factor is

A:

Q: GIven the data set, find the five-number summary. Label each answer. 19, 2, 9, 5, 27, 6, 1, 7, 12, 1...

A: We have to find the five number summary of the given data set.

Q: A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at t...

A: Please see the attachment

Q: II. Solve for the indicated variable. =(÷+(b - ), for t b. S d2.

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

Q: The functions f and g are continuous and differentiable with f(x) = g'(x). Selected values of the fu...

A: To approximate the average value of g(x) over the interval [3,11]

Q: X1- X2 -X3 +. 3) х — у + 2z — и %3D- 1 2х + у — 2z — 2w %3D-2 —х + 2у — 4z +w %3D 1 Зх — Зw %3D —3

A:

Q: Simplify: i29 + i²1 + i2050 in form a + bi.

A:

Q: 1. Prove that cos²z + sin²z = 1 eiz + e-iz eiz – e-iz Note: cos z = and sin z = ; let z = x + iy 2i

A:

Q: Let în be a unit vector in a direction specified by the polar angles (0, ø). Show that the component...

A:

Q: Suppose the function ) has a domain of all real numbers except x-8. The first derivative of fx) is s...

A:

Q: Prove that the the following statement is true: if S = {⃗v1, ⃗v2,..., ⃗vn} is a basis for a vector s...

A: Given that S=v1,v2,....,vn is the basis of vector space V. Now let α∈V be any element of V and we wr...

Q: Prove that a subset of a countable set is countable. Give example using real number

A:

Q: 10

A: In this question, the concept of convergence is applied. Convergence The feature of approaching a li...

Q: suppose a sphere of radius 9 is sliced by two horizontal planes such that the resulting three solids...

A: We will use formula for surface area of sphere with radius R =4πR2 Surface area of cap of a sphere w...

Q: Let S = {0,1}. Let W be the set of finite strings over the set S. Define a function f : W → set of n...

A: (a) since the length of the string 0 is 1. so f(0)=1 (b) take two strings such as 1010 and 0101 then...

Q: If z^5=1-2i

A:

Q: 18. Show that every base 7 palindromic integer with an even number of digits is divisible by 8. 19 D

A:

Q: 1 4 5 6. y 1172 1971 3246 5558 8362 14766 Use regression to find an exponential equation that best f...

A: The given problem is to find the best fit curve of the exponential function y=abx with the given dat...

Q: Detremine the Inverse Laplace of the ff: F(s)= (2s + 1)2 s4 show complete solution

A: We determine the inverse Laplace transform of  F(s)=(2s+1)2/s4

Q: x – 4 lim 244 x2 – 3x – 4

A:

Q: Determine the range of the graph of y = 8cosx - 7. %3D O(-7 sxs 7, y e R} O {-15 s x s 1, y e R} O {...

A: We need to determine the range in 1st part and domain in the 2nd part of the question.

Q: the box that minimize the amount of material used. st, find a formula for the surface area of the bo...

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a fu...

Q: Kenton and his friend have  of a drawing pad to share equally. Based on the model, what fraction of ...

A: Given that Kenton and his friend share a drawing pad equally.  We have to find the fraction of the w...

Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the followi...

A:

Q: Find a mapping G that maps the disk u? + u < 1 onto the interior of the ellipse () + G) : <I. Identi...

A:

Q: PROBLEM 3 Apply the Laplace transform to solve the initial-value problem y'+2y = 0, y(0) = 1.

A:

Q: Sketch the graph of P(x) = x*(x+ 6)(x – 4)*(x – 7)². Scale is not important, but your graph should h...

A: We have to sketch the graph of p(x).

Q: (r,1) = (r sin (f), r– cos (1)), (r.1) = (5,-) s numbers in exact form. Use symbolic notation and fr...

A: In this question, the concept of the Jacobian of functions is applied. The Jacobian of Gr,t is calcu...

Q: Let R be the region bounded by the functions f(a) = -3x² – 10x and g(x) = -6 as shown in the diagram...

A:

Q: 10. A firm borrows 2,000 for 6 years at 8%. At the end of 6 years, it renews the loan for the amount...

A: