Q1/ Solve the following system using Inverse matrix 0.5 x+3.1 y- 0.2 z 5.9 1.2 x- 2.5 y+0.7 z 2.2 0.3 x + 4.8 y - 4.3 z = 4.8

Q: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise Z = 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15     with x1, x2 ...

Q: : Find the length of the following parametric curve. x = 6 + 1", y = 1 + 7t21/2, 0 st s 2.

A:

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

A: We have to find the optimum solution of given LPP using graphical method.

Q: For a natural number n, let C, = {(aij) E M„(R): a;j = aki for all i, j,k,1 such that j-i=,l – k}. (...

A:

Q: 2) Use a change of variables to evaluate , zdV; where Dis bounded by the paraboloid z = 16 – x - 4y?...

A:

Q: Question 2: The linear transformation R : R³ → R³ is the rotation about the vector (0 1 o]" with the...

A: As per the question we have to find the rotation matrix R , reflection matrix S  Then the transforma...

Q: The second order differential equation for the instantaneous position s(t) for the vibrating mass is...

A:

Q: The object shown in the figure is axially symmetric and its curved surface is described in cylindric...

A: The given problem is to find the volume of the given surface described in the cylindrical coordinate...

Q: W= sin (xyZ) %3D find: Wx Wx z Wxy

A:

Q: Exercise 16 (#5.29). Let F be the collection of all distributions on R and z be a fixed real number....

A:

Q: (c) Solve the difference equation Yt+2 - 4Y¢+1 + 4Y; = 2(2') + t² Given initial values Yo = 2 and Y,...

A: Using Z-transform

Q: If the demand and supply curves of two commodities A and B are given below find the equilibrium pric...

A:

Q: If ||<1, determine the maximum modulus f(=) =+1 (a) f(=)==-2z+3, (b) f(=)==+=-1, (c) f(=)= 2z-1' (d)...

A:

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select ...

A:

Q: 5. (a) 2e' sin? (b) e cos ?1

A:

Q: A water tank has 142 gallons of water, At first, in t=0, a solution with 1/6 lb/gal of a chemical so...

A: it is mixing problem we use linear differential equation to solve this question.

Q: Prime Paints manufactures two types of paints, one for interior painting and the other for exterior ...

A:

Q: gtx) 6x - 7; h(x) 1.7* Find the derivative of f(x) g(x) h(x).

A:

Q: If A and B are similar, then there exists a matrix P such that B* = P'A^P. Use this fact to find B, ...

A: Here we need to find B5  using relation Bk =P-1Ak P  

Q: Write the differential equation cy" + xy' +y = 0 in standard form: y"+ y'+ y = 0 List the singular p...

A: Given differential equation is xy''+xy'+y=0.....1. First, we have to write the given differential eq...

Q: onsider the initial value problem f + 2y = 12t, y(0) = 6. a. Take the Laplace transform of both side...

A:

Q: 2. Let V = R" and let {e1,...,en} be the standard basis for V. a) Give an example of a subspace of V...

A:

Q: + 5

A: Introduction: The tangent of the function of the form y=f(x) at a point a is derivative of this func...

Q: Discrete Math Define 0! = 1. For any positive integer n, define n! = n·(n−1)!. For example, 6! = 6×...

A: We have to prove the statement using induction.

Q: Let a, b, c and d be distinct real numbers. Show that the equation (x – b) (x – c)(x - d) + (x – a)(...

A: Rolle's theorem:-

Q: Draw the graph of the periodic function f (t) =- t, t, 0 <t<T T <t <2 Tt. # IT - and find its Laplac...

A:

Q: In GF(2 ), find the multiplicative inverse of (x +x) modulo (x 8+x°+x+x + 1). Use table to show the ...

A: The complete solution is in given below

Q: Solve the maximization problem using simplex method. Objective Function: Z; = 2X, + X, + 3X3 Constra...

A:

Q: (c) Solve the difference equation Yt+2 – 4Yt+1+4Y; = 2(2') + t² - Given initial values Y, = 2 and Y,...

A:

Q: If |<1, determine the maximum modulus f(:) :+1 (a) f(=)==-2z+3, (b) f(2) == +z-1, (c) f(=)= (d) cos(...

A:

Q: certain differential equation has the form f(x)dx + g(x)h(y)dy = 0. th none of the functions f(x), g...

A: We have to prove that given statement .

Q: Determine if following integrals are Lebesgue integrable log æ log(1 – x)² dx, /1 – x dx log x

A:

Q: Evaluate. Express result in Rectangular Form correct to 3 decimal places. 2 = 4i3izi

A: To evaluate: z=4i3i2ii in rectangular form correct to 3 decimal places.  

Q: 1. If l = P+[v]=Q+[w] , how must P, Q, v, and w be related?

A: Given l=P+[v] is a line where [v] is a span of a unit vector v, we can write [v]=cv, c is a scalar w...

Q: 0.4. One can purchase a room cooler for Rs. 2400 cash or for Rs. 1200 cash down payment and two mont...

A:

Q: Consider the initial value problem dy + x(2y – 1) = 0, for 0 <x < 5, y(0) = 2, y(0) = 1. dx? (a) Ref...

A:

Q: Q5.Find a vector parallel to the line of the intersection of the planes 2x + y – 2z = 5 and. %3D N =...

A:

Q: Let f(x,y) =x²+y² +cxy be a function on domain R?; c is an arbitrary constant number. (a) Write down...

A: Given , f(x,y)=x2+y2+cxy is a function on domain R2 and c is constant To find : Value of c for which...

Q: A housing society charges for à flat Rs. 16,00,000 cash or Rs. 5,85,500 cash down payment and three ...

A: cash price of the flat = rs 1600000 cash down payment = rs 585500 balance to be paid in instalments ...

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your f(t) = t2 + 2t - 4 L{f(t)}

A:

Q: plz solve only last 2 parts within 30-40 mins I'll give you multiple upvote

A:

Q: # 2. Prove that for all sets A and B, (A - B) N B = Ø. Proof (A Proof By Contradiction):

A: The given problem is to prove the following statement using the method of contradiction. To prove : ...

Q: ii) in triple cross of vectors (A × B) × C = C x (B × A).

A: (ii) To prove that,                  A×B×C=C×B×A

Q: Q2: Solve by Separable Differential Equation. yy=xe 03: Dot

A:

Q: An object attached to a spring undergoes simple harmonic motion modeled by the differential equation...

A: Given, mass (m) = 17 kg displacement of spring (x) = 0.2 meters a = g = 9.8 m/s2 We know , F = kx   ...

Q: Given that the function f(t+27)= f(t) has odd harmonics only, t 60° 120 3 -2 4 I Calculate b, only I...

A: Given that, ft+2π=ft  has odd harmonics only and t 0° 60° 120° y 3 -2 4  

Q: Solve the following equations. i) e³ = 2+2i )=2+2i

A:

Q: A vector field v is expressed in spherical coordinates as v(r, 0, 6) = 2r cos 0 e, – r sin 0 eg. Cal...

A: For the solution of the problem follow the next step.

Q: Given A = {2, 3,4, 5}, B = {4, 5, 6, 7} %3D %3D Find AOB Also represent the figure?

A:

Q: Discrete Math Let a be an odd integer. Show that (a) 8 | a^2 − 9; (b) 16 | a^4 − 81.

A: