iven by 5x3 at x = 1 is: %3D

Q: ched image. Please provid

A: Given,                F(s)=3-5ss2+4s+5

Q: Find the mass of the solid with density p(x, y, 2) and the given shape. P(x, y, z) - 48, solid…

A: Mass of the solid

Q: w? + 21 F(w) w2 + 9

A:

Q: Given the plane † = (-2, 1,5) + s(3, – 2,0) + t(1, 1, 5), s, t e R. The plane cuts the x, y and…

A: Given the plane r→=-2,1,5+s3,-2,0+t1,1,5,s,t∈ℝ We have to find the volume of the pyramid.

Q: 24. Let G = - by o(n) =i" Verify that o is a homomorphism a) b) Find Ker( o )

A:

Q: 1. The function yı = e² is a solution to (I- 1)y/" - 2ry + (x + 1)y = 0, x> 1. Use reduction of…

A:

Q: 3 euler cauchy) 4. 11) €

A: Given question number 4 is related to ordinary differential equation. We will find the solution of…

Q: Find the area of the region inside r = 9 cos 0 and inside the rose curve r = 9 sin 0 Note: a.…

A: 1st we will find values of r and θ and also intersecting points  to trace the curves . Then shade…

Q: use Euler me thud to solve y's 3x?+y h=0.25

A:

Q: Let x, y ∈ Z. Use a direct proof to show that if xy is even and x is odd, then y is even.

A:

Q: Please help me find the sum or divergence with telescope methods

A:

Q: Use the Right Endpoint approximation method to approximate the area under the graph of the function…

A: The given function is fx=4e-2x.

Q: Question 1 John currently has a shipment with the below details: In this shipment there are two…

A: Please post the multiple parts separately.here I answered 1st three sub-parts as per our policy.

Q: 6. i,How many permutations are required to be sure of predicting the outcome of tossing a six sided…

A: Introduction: Permutation is arrangement of objects in different order. For example, if we want to…

Q: EX' 1) show That. the ring of Complex numbers can be imbed iny in ariny 2x 2 matreces.(M 241

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A:

Q: 1. Solve the following set of equations using Excel: 6x1 + 2x2 + 5x + 4x2 + X3 X4 14, X3 X4 3x5 0,…

A: Consider the set of equations: 6x1+2x2+x3+x4          =145x1+4x2+x3+x4-3x5=0…

Q: 022/ul…

A:

Q: Solve the differential equation with the appropriate method. Finalize the answer equated to ky^n 2.…

A: We have given a differential equation ,  dydx + y = y2 sinx This is Bernoulli equation of the form ,…

Q: 4. So ve the following initial value problem using Laplace transfor y"+3y +2y = g(t) with y(0) =0…

A:

Q: 1. Use Green's Theorem to find the counterclockwise circulation and outward flux for the given filed…

A:

Q: 1. Find the canonical prime factorization using Fermat's Method a) 40425 b) 491 2. Find the sum of…

A: 1. To find the canonical prime factorization using Fermat's Method: a. 40425 b. 491 2. To find the…

Q: Find the third order derivative of y = In(cos(2x))³. A. y' = -40sec² (2x)tan(2x) B. y' = -80sec?…

A:

Q: Consider the function f(x) = In(1+x). (a) Find the first five nonzero terms of the Maclaurin series.…

A:

Q: The Questions Question 4. The function f(t) is defined by (t- 2, 0<t<1 f(t) = 4, 1<t<5. Let f (t)…

A:

Q: Let the universe of discourse be N. Write the following statement using quantifiers, logical…

A:

Q: Evaluate the volume of the solid generated by revolving the plane region about an axis. Show your…

A:

Q: The function y1 = e is a solution to (x- 1)y"- 2ry + (x+1)y = 0, x > 1. Use reduction of order to…

A:

Q: For the vector fleid G = (ye +3 cos(3r + y)) i + (ze + cos(3r + v)) j, tind the line integral of G…

A:

Q: Solve the exponential equation by using the property that b^x= b^y implies x=y, for b>0 and b≠1.…

A:

Q: Find the projection of u = (7,21,-14) on v = (3,-1,2). Q.4 Solution: Q.5 I Find the arc length of…

A:

Q: Q2 Short answer question. No justification is required. a) How many 3-digit positive integers are…

A: .

Q: Please use Laplace Transform Method Consider the following IVP: y" -10y' +9y = 5t, y(0) = -1, y'(0)…

A:

Q: ems and RSA algorithm) 1. Find (19344 mod 30) (19344 mod 30)65 mod 11

A:

Q: Find 1 (9) Lp(p – 1). p(p²-1)3 (10) L-1 (p2+1)2,

A:

Q: let n be a fixed natural number.Verify that the set  n.Z={n.k l kEZ} is a group of (Z,+).

A:

Q: E-Le+R be asetof rCal number Preve that R' is Fing

A:

Q: Using Stoke's Theorem Evaluate [(2x- y)dx – yz²dy – y° zdz) where is the circlex + y = 9…

A:

Q: Euler methet to ve (۔ک use

A: It is given that y'=x+2y with the initial condition y0=0. Comparing with the initial value problem…

Q: y(4) + 2y" + y = (x – 1)²

A:

Q: In Exercises 13 and 14, find the best approximation to z by vectors of the form c V + C2V2. 2 4 -2…

A:

Q: 30 years with a) 6 % compounded monthly with no point 1 b) 6– % compounded monthly with 1 point: 4.…

A: Solution

Q: 14. If 3 a = 2a워= 45 ,. (2) ,(2) (2) ni 2nl

A: Given equation is  32n|=222n|=45s21|

Q: From the Laplace Equation show that there exist solutions in the form X(x) +Y(y) + Z(z)

A:

Q: et A = [aj¡], 1 s i, j<n with n 2 3 and ajj = i. j. Th ank of A is:

A:

Q: 4. Give the ratio of vowels to consonants in the alphabet

A: As per the policy first question that is 4 is solved. Please repost and specify which question is to…

Q: et +2e2t-et 6. dt e2t +1

A: Simplify the numerator of the given integrand. The integration formula of exponential states that…

Q: A. Complete the table if y varies B. Complete the table if y varies in- versely as x. directly as x…

A:

Q: iven: In(1+x) = Σ n +1 (-1)" if |a| < 1. n=0 Find the Maclaurin series for f(x) = x ln (1+ 5).

A: Macluarin series of the function

Q: Solve the following differential equations: (DE in 1st Order, 2nd Degree) 4.) (y')? - x2 (4x + 3)y'…

A: