50. The ancient Egyptians used a method for finding the area of a circle that is equivalent to a value of 3.1605 for T. Write this decimal as a mixed number.

Q: Consider the initial value problem I' + 3r = 45t, r(0) = 2. a. Take the Laplace transform of both…

A: Given differential equation is x' +3x =45 t,   x0=2

Q: Chantelle is swinging back and forth on a trapeze. Her distance from vertical support beam in terms…

A: Given that,Sinusoidal function is of the form y=asinkx-d+cAt 1 s, she is the maximum distance from…

Q: A "friend" offers you the following "deal". For a $10 fee, you may pick an envelope From a box…

A: Given- A "friend" offers you the following "deal". For a $10 fee, you may pick an envelope from a…

Q: The graph of a periodic function f is shown below. f(0) 1 -2 -3 -4 a. What is the period of f?…

A:

Q: An investor has $120,000 to invest in bonds. Bond A yields an average of 5% and the bond B yields…

A: Note: We are solving the question by supposing x = dollars invested in bond A and y = dollars…

Q: A Markov chain is described by the transition diagram 1/4 1/4 S 1/2 1/2 1/2 1/2 1/3 1/2 (S) Ss 1/3…

A: Given is a Markov Chain with the transition diagram.   Given that the process starts in state S0…

Q: Find the inverse Laplace transform. F(s) = 3s+1/s^2+4

A:

Q: Solve USING FACTOAING 34-3-1 -5

A:

Q: 3.7 Suppose f and g are in R[a, b] and f(x) < g(x) for all r € [a, b]. Prove: f(x) dr < | g(x) dr.…

A:

Q: 1. Harold expects to receive Php 200,000 five years from now. How much is the money worth now if the…

A: Asked two questions are given below. 1. Harold expects to receive Php 200,000 five years from now.…

Q: Compute the Laplace transform: (t) + u4(t)t*e

A:

Q: Theorem 11.2.20. Cauchy Criterion. The series Eo ak converges if and only if Ve > 0, N such that if…

A:

Q: Calculate the Laplace inverse of 4s +8 9. F(s) = (s-2)(s² + 2)²

A: Some of the properties of the inverse Laplace transform  L-1ss2+a2=cosatL-1as2+a2=sinatL-11s-a=eat

Q: It is known that f(x) = In(2 + x) a. Write down the 5 nonzero terms of the Taylor series around the…

A:

Q: The amount of $200 is deposited at the end of every six months into a savings account that pays 3%…

A: Given A=$200 n=5 years=10 half years Interest rate is 3% compounded semi annually. then i=32=1.5%…

Q: Classify the following initial value problems into regular and singular perturbed problems and, if…

A: Sol

Q: Three cards are taken from a pack of cards (and not replaced). What is the probability that you get…

A:

Q: В. It is known that f (x) = ln(2 +x) a. Write down the 5 nonzero terms of the Taylor series around…

A: Follow the steps.

Q: Find the inverse Laplace transform following: 0.2s+1.8 1. s43.24 4s+32 2. s-16 25-1 3. si-6s+18

A:

Q: Assume that T is a linear trans formation. Find the standard matrix of T for T : R² → R² first…

A:

Q: Find the Laplace transforms. f(t) = t - 2e^3t

A:

Q: cot Ve csc² Vo de 3 Vo2 (4+ cot2 Vo)

A:

Q: Find inverse F(S)= F(s)= 3(5*14) an %3D

A:

Q: which of the following describes the region inside the cirde (z- 5) + (y – 3)ª = 36 and outside the…

A:

Q: As x → -00, f(x) → 0 lim f(x) = +o∞ x→(-1)- lim f(x) = -o∞ x→(-1)* lim f(x) = –1 x→0 lim f(x) = lim…

A: Solution:-

Q: H-w.4 Find the Volumes for the fallowing solids whose heishts ae de finedby ECX,y) and bases are the…

A: Volume bounded by xy-plane

Q: ou need to buy some chicken for dinner tonight. You found an ad showing that the store across town…

A: Solution

Q: Click and drag the steps to their corresponding step numbers to prove that the given pair of…

A: Given- fx = 2x2 + x - 7 and gx = x2  To find- Click and drag the steps to their corresponding step…

Q: OURIS SPENT FOR NAIL HOURIS SPENT FOR HOUR/S SPENT

A:

Q: Use the arc length formula 2 dx dy L + dt dt dt to find the arc length of the curve. x = cos 12t, y…

A:

Q: +heetfhesion I- x५2x" ०Su% ०+ chebyshevpolynomiais is eguat ५ प Provethat

A:

Q: Determine if the vector feld F(=,3=-2) = (24=?y"=", 482"y7=,42'y4) is conservative on R". Select the…

A:

Q: Let Te(z) be the Taylor polynomial of degree 6 for the function f(z) = cos(z) at a = 0. Suppose you…

A: Solution

Q: tw.t Find the Volumes for the fallowing solids heishts are defined by ZCX,y) and bases are the…

A: Volume bounded xy-plane

Q: What is the correct answer to questions 1, 2 and 3? 1. What will be the value three years from now…

A:

Q: What is the negation of ( (P →Q)^(Q v P))? ((PA Q) ^ ¬ Q) ^(¬QV ¬ P) ((P^ Q) v ¬ P) ^(¬QV P) O ((P v…

A:

Q: Assume that T is a linear transformation, T: R3 → · R², T(e,) = ( 1, 3 ), T(e2) = ( 4,– 7 ), and T…

A:

Q: Describe the solutions of x1 + 2x2 – 3x3 = 5, 2x1 + x2 – 3x3 = 13, and –x1 + x2 = -8 %3D in…

A:

Q: -w.4 Find the Volumes for the fallowing solids heishts are defined by ZCX,y) and bases are the…

A: Volume bounded by xy-plane

Q: What is the correct answer in questions 1 and 2? 1. Calculate the principal sum which, if deposited…

A: Let us considre P be the principal amount, r be the rate of interest and t be the time period . Let…

Q: 41. Find the weage value of the periodie waveform of Fig 94 ver one full cyce (V) FIG. 94 Poblem 41.

A:

Q: Consider the matrix M Establish %3D 3 for which value of k, X 3 is an eigenvalue of M. In this case,…

A:

Q: Find the Volumes for the fallowing solids heights are defined by ZCXgy) and bases are the regiuns…

A: Volume bounded by the xy-plane

Q: T (y) = Vy² – 6y Find the Critical Points

A:

Q: Suppose that f : A → B and g : B → C are both injective functions, prove that the function go f : A…

A:

Q: 1. Determine the critical points of the function: 8(w) = ew³-2w²-7w %3D Enter your answer

A:

Q: The following are sets in R². Assume these sets include the boundary lines. For each, give a…

A:

Q: Let U and V be the subset of R' defined as U = { (a,b.c,d) : 3b-2d-a = 0 } and / = { (a,b,c,d) : a=c…

A:

Q: 12 2. X' = 4 %3D

A:

Q: The velocities measured at various points along the boundary layer in free convection over a…

A: