Solve the linear programming problems using the graphical method. (PS. use graphing paper) Minimize Z = 25 X1 + 35 X2 Subject to: 3X1 + 4X2 ≥ 48 2X1 + X2 ≥ 15 X1 ≤ 15 X1, X2 ≥ 0

Q: Evaluate av2 Sove (23 – 2) (2a² – x²) d

A: Walli's formula  ∫0π2sinnxdx=∫0π2cosnxdx=1×3×5×.....(n-1)2×4×6.....×n×π2    when n is even and ∫0π2s...

Q: Samuel sells furniture. He receives a base salary of Php 2400 a week plus a commission on his weekly...

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Q: Instruction: Solve the following system of homogeneous linear differential equations. Present your s...

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Q: 2. Determine if the series n n4 +1 n=1 Σ (-1)³n converges or diverges.

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Q: 4. Determine the eigenvalues and eigenvectors of the following matrices: (a) (b) 4 4 1. 5.

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Q: Given the series: 3 k=1 does this series converge or diverge? O converges O diverges If the series c...

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Q: 10 x2+9 dx 5

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Q: find the orthogonal trajectory of family of parabolas represented by the equation                  ...

A: To find orthogonal trajectories of  y2=4ax.

Q: 1. Construct the multiplication table for the the group Us = {1,a, a², a°, aª} where a = 2ni e 5

A: As per our guidelines we are suppose to answer only one ques. Answer of question 1 is as follows:

Q: Use De Moivre's Theorem to find the identity of the following: a. cos 80 b. sin 90 c. cos 100

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Q: Find the graph of this arclength

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Q: Find the antiderivative, G(t), of the function g(t) = (2n²t² – t*)v2n² – t².

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Q: 2. Find the general solution to the differential equation y(4) – 7y(2) + 103y' – 4y= 0. - %3D

A: We find general solution of y(4) -7y(2)+10y'-4y=0......(1)

Q: This complex number is pure real? 1-2i/i and why?

A: For a complex number, z=x+iy, where x is the real part, y is the imaginary part. The complex number:...

Q: ~(W=A) = ((~Wv~A) · (~AÉW))

A: This is a problem of logic.

Q: Find the optimum point of this given function using Gradient Descent method and show the error (2 it...

A: Note:- In this problem you mentioned  to perform 2 iteration. So, the solution is given on the basis...

Q: Find the Laplace Transform of the following. 1. F(t) 2. F(t) 3. F(t) 4. F(t) = e-tsinh (4t) 5. F(t) ...

A: To answer the given questions we shall use the following table of Laplace transformations           ...

Q: Consider the system of linear equations below. Solve for D. 2A - B + 3C - D = 5 A + B - 2D + E = 0 -...

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Q: 4. S dx 9-x x2-1 dx 5.

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Q: By using the Chinese remainder theorem, solve the following system of congruences x ≡ 4 (mod 11) an...

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Q: 1-18i C. Find the complex numbers z that satisfy the equation 4z – 37 = 2-i

A: Given 4z - 3z = 1-18i2-i

Q: 2. 8 cos + i sin 8 8 10 + i sin 16 cos 16

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Q: converjent

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Q: Find the selling price of a DVD set which costs Rs.(Last four digit of your regestration number ) an...

A: The cost price of the DVD set is  Rs.2145. Percentage of increase in price is 30%.

Q: Let 0 0 -1 1 0 1 A = %3D | 0 1 (a) Find all eigenvalues with their multiplicities. (b) Find the defe...

A: We can solve this using given information

Q: A. In the figure below, CE and LA are diameters of ON. Use the figure to answer the following. If mL...

A: Angle 3 is 62 degree

Q: 2 Integrate the function f(2) = (z - 10i) from z = 0 to z = 5 + 5i along the line x = y.

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Q: A local Chocolate Factory produces 3 varieties of Chocolate A, B & C. Ron bought a chocolate of each...

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Q: Consider the points A(1, –1, 2), B(2, –3,0), C(-1, –2,0), and D(2, 1, –1). | (a) Find the volume of ...

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Q: 2. After receiving a $1400 stimulus check, you cash the check and stuff the cash into a mattress. Yo...

A: We need to use sum of infinite geometric progression  If 1st term of progression is a and common rat...

Q: Use the definition of differentiability to show that f(x, y) = y² – xy+5x is differentiable everywhe...

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Q: Find AB if A = 2 1 -2 -1 1 1 B = 2 -2 -2 -1. 2 1 12 8 4 2 1 12 8 0 4 0 1 12 6 12 6. 4.

A: We have to find product matrix AB

Q: Question 5 Given matrices A and D 0 0 1 A =0 1 0 10 0 1 D =0 -20 Which of the following is correct? ...

A: It is given that ;                   A = 001010100      and    D = 1000-20001 And we have to find  A...

Q: A diet is to contain at least 1003 units of carbohydrates, 2815 unids of protsins, and 2660 calories...

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Q: Evaluate the definite integral using the first four Newton-Cotes quadrature а. x cos xdx 3 x + 3 dx ...

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Q: Evaluate the following iterated integral by reversing the order: 2.x cos(8y – y?) dy dx -

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Q: 10 Vx2 + 9 -dp- a. 15 .

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Q: 14. Determine if each subset below is a subspace of R. (a) Span (b) Span (c) x2 |1 = 0 • {}--} (d) x...

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Q: Find the volume generated by revolving bout the line y = -1 the area bounded by (x – 2)² = 4()y + 2)...

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Q: Consider the vector space V = R with respect to the usual vector addition and usual scalar multiplic...

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Q: y-5dy – y-dx = xdx; when x=Y3D0

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Q: Let p and q be propositions. Construct the truth table for the compound proposition (p→q) ^ (p → q).

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Q: A team of scientists are studying two species of deer in a park who are competing for the same grass...

A: We will be solving part(b) as mentioned. The given system of differential equation is: dxdt=x2.20-0....

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 9(x2 – ...

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Q: Find real numbers x and y such that ty 2 2 - i i+3 1 +1

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Q: Question 2. Consider the 2n x 2n block-diagonal matrix A, made up of n blocks (* :) of 2 x 2 matrice...

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Q: 2. Determine if the series n n4 + 1 n=1 Σ (-1)3n converges or diverges. 3. Consider the power series...

A: Series and sequences

Q: Differential equation solution. (D ^ 3 + D ^ 2 - D - 1) * y = e ^ x

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Q: Consider the system of linear equation below: A+ 2B + 3C + 4D = 8 2A - 2B - C + D = -3 A - 3B + 4C -...

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Q: A tank contains 7070 kg of salt and 10001000 L of water. A solution of a concentration 0.035 kg of s...

A: Given: The concentration of salt in 1000 L water is 70 Kg. The rate at which the 0.035 Kg of saltwat...