Q.1 Evaluate

Q: th isr't rong r = 100 cos 20 (f ·g)' = fg' + f\g] i = (-200 sin 20)0 dr d?r dt dt2 do d20 = dt dt2 f...

A: The derivative of a function f(x) at any point x=a represents the rate at which f(x) is changing wit...

Q: Co sht

A:

Q: Given the point D(-4,5,3) and A = ya, + (x + z)z dy, express the D and A in: Kindly answer in vector...

A: Given the point D=-4,5,3 and A→=yax→+x+zzay→. To express D and A→ in: 1. Cartesian Coordinate system...

Q: To pay for an SIK,600 motorcycle, Raina made a down payment of $4700 and took out a loan for the res...

A:

Q: How many 8-character passwords can be made using the letters A through Z if repeats are not allowed?...

A:

Q: 2. Solve the following initial value problem in terms of g(t): y" – 3y + 2y = g(t) : y(0) = 2, y'(0)...

A: We can solve this using given information  

Q: `The matrix 8 A = 4 0 -4 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2...

A:

Q: Let X = {1, 2, 3, 4, 5} and Y = {3, 4}. We define the relation R on the set P (X) by the formula. ...

A: Solution:   This is an equivalence relation since:A U Y = A U YA U Y = B U Y implies that B U Y = A ...

Q: 1. List all the subgroups of z6 under addition mod 6 and draw the lattice diagram. l ा की कीे

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Recently, a certain bank offered a 5-year CD that eams 2.58% compounded continuously. Use the given ...

A: The compound interest formula for an initial amount of P compounded at r% every year for n years is ...

Q: Calculate the volume of the solid obtained by rotating the region bounded by the parabola 4py = x² a...

A: For the solution follow the next steps.

Q: ----j n(x, y) = x² + 3xy – 6y has a critical point at (2,- Use the second derivative test to describ...

A:

Q: While calculating correlation coefficient between two variables x and y from 25 pairs of observation...

A: The formula to calculate the correlation coefficient is given by r=n(∑xy)-(∑x)(∑y)[n(∑x2)-(∑x)2][n(∑...

Q: Find general solution One-dimensional heat equation 2 d²y du = C2 dx? dt

A:

Q: Find the Laplace transform (3)

A:

Q: 2. Use Parseval's formula and a suitable Fourier series to sum 2n=1 (2n–1)? · 1 Hint: Look at Table ...

A:

Q: 3. Given the matrix B below, 2 31 2 -1 3 2 B = 4 3 1 2 3 2 0 71 Solve for det inv B.

A:

Q: "Let h(x, y) = x² + 3.xy- 6y. What is the amount of the greatest increase of h at the point (3,2)? I...

A:

Q: ди One-dimensional heat equation at dx

A: To solve the equation we can use method of separation of symbols. In this method we put our dependen...

Q: :Show that if every point of a surface is elliptic, then any curve C on this surface positive curvat...

A: This is a problem of differential geometry.

Q: Solve the given linear system using: I.Gauss- Jordan Method(Elementsry Row Opetarions). Please attac...

A:

Q: b. If x is a nontrivial solution of Ax = 0, then every entry in x is nonzero. Choose the correct ans...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Sketch the region bounded by the given curves, then find the centroid of it area. 2. x = y², x = y +...

A: We have to find the centroid of the area.

Q: 3. Given an equation of a circle, determine how to find a point on the circle. Determine how to find...

A: Suppose (x-a)2 +(y-b)2 =r2  be an equation of circle with centre at (a,b) and radius is r. Two ways:...

Q: 2 DO NOT USE A CALCULATOR IN THIS QUESTION. Find the positive solution of the equation (5+4/7)x² +(4...

A:

Q: 4. Determine one real root of 8 (sin x) e¯* – 1 = 0 with xo = 0.30 using Newton-Raphson Method until...

A: Determine one real root of 8(sinx)e-x-1 =0 with x0=0.30 using Newton-Raphson Method .

Q: Find the solution of the following system y'1= y1 - y2 +y3 y'2 = 5y2 y'3 = -2y1 + y2 - y3

A:

Q: 2)

A:

Q: 3.3 hy grephing Solve A. Minimize C =10x +15y s,t. X+y 3x ry Zld ー2x +3y 23 x20, y 20 B. Maximize P=...

A: We have to solve the problems by graphing.

Q: A charity benefit is attended by 30 people and three $50 gift certificates are given away as door pr...

A: Given: Total people are 30. Total gifts that can be given are three. To determine: Total different w...

Q: Q6) Using the Newton's forward difference interpolation formula evaluate f (2.05) where f (x) = x, u...

A: The value of table for x and y x 2 2.1 2.2 2.3 2.4 y 1.414214 1.449138 1.48324 1.516575 1.54919...

Q: Find the centroid of the solid generated by revolving the region about the indicated axis the area b...

A:

Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2 s...

A:

Q: Let I be the flux of G = (5e", 7r e,0) through the upper hemisphere S of the unit sphere. (a) Find a...

A: We can solve this using curl F formula then for b) we can calculate double integral 

Q: What is the magnitude of the simple gain term for the following open loop transfer function: 24 G(s)...

A: Solution

Q: (1 – x²)y - 2ry' + 2y = 0

A: given differential equation 1-x2y''-2xy'+2y=0                ...i let the solution be of the form y=...

Q: Compute the Inverse Laplace of the following Laplace Transforms. Show complete solution F(s) = 3 - 1...

A:

Q: f (a) a theorem with direct proof (b) a theorem with indirect proof

A: this is a question of mathematical logic.

Q: 10. (a) Produce the linear Taylor polynomials to f(x) = In (x) on 1 < x < 2, expanding about x, = }....

A: (a) produce the linear taylor polynomial  fx=lnx on 1≤x≤2 expanding about x0=32.

Q: Q2. Find the radius of convergence and interval of convergence of n! n=02"

A:

Q: Find the directional derivative of f(x, y, z) = xy² + yz% at P(1, – 1, 1) in the direction of a = i ...

A:

Q: me Ik Pi p then

A:

Q: Solve one real root of e* – 2x – 5 = 0 with xo = -2 using the Fixed-Point Iteration Method until abs...

A:

Q: Calculate for one real root of tan r = 4x with xo = 1.2 up to four decimal places %3D using the Newt...

A:

Q: Use Adamss's method of apportionment to solve the following problem. 1. Suppose a nation has 6 state...

A: To assign the number of representatives to each state by Adams's method, use the following formulae....

Q: (a) Find the rank and nullity of th4e following system of linear equations: x, +2x, - x, +4x, =0 2x,...

A:

Q: Find the area of the region that lies inside r = 2 + cos 2θ but outside the curve r = 2 + sin θ

A:

Q: The author spoke with a representative of the U.S. Postal Service and obtained the following informa...

A: Given:  five-digit zip code, the first four digits can be any of the digits 0–9 and the fifth any of...

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 1 + e4t L{f(t)}

A: Given function is f(t) = 1 + e4t

Q: Solve X(n) of the given X(2) using the 3 methods X(2) = Ito. 32 + 0.52 :- It 0-8 2+ 0.152

A: