In a certain school, 60 students in a certain class were enrolled in three subjects as follows: 2. 40 Discrete Mathematics 38 Statistics & Probability 35 English 25 Discrete Mathematics and Statistics & Probability 28 Discrete Mathematics and English 20 Statistics & Probability and English 15 Discrete Mathematics, Statistics & Probability and English

Q: Show that u (X ) = 3X+ 2x is asolution to the integral equation 3(1+x)? X - S sinh (x-t) ultJ dt

A:

Q: Disjoint Set 4. 1. If every element of A is oalso an element of B. If the they have common element I...

A: We know that if two sets are disjoint then they don't have any element in common. Elements of two di...

Q: Obtain general solution of the D.E. y + (1/3)y = e'y A) 1/x = e (c - 3x) B 1/y³ = e* (c - 3x) 1/y = ...

A: The given equation is Bernoulli equation we will solve this by substitution method

Q: QUESTION 1 Carter rolls three dice five times, and records his totals below. 9. 10 17 8 16 Carter's ...

A:

Q: Let a,b be two real numbers and define a*b=ab+a+b. What is the identity element for this operation? ...

A: Given operation is a*b = ab + a + b

Q: Find the volume of the solid generated by revolving the region bounded by y = x2 +1, y = x+ 3 about ...

A: The volume of the solid of revolution  about x-axis is obtained as Volume=∫abA(x)dx Where A(x)=πoute...

Q: Use the assumed Babylonian square root algorithm of the text to approximate 21. Begin with the value...

A: We use basic knowledge of numerical analysis, in particular, the Babylonian square root method to an...

Q: If limkoo ak 0 then Eak is convergent.

A:

Q: Find the modulus and argument of the com

A: Given,          7-xi5+3i2 and  x = 2.

Q: What must be true of the discriminant a

A: Given, the general second-degree equation is                                        Ax2+Bxy+Cy2+Dx+E...

Q: Problem: in the polynomial (x+1)³ (x+2)³ (x+3)®, let a, be the coefficient of x*. Find the sum of a,...

A: To find- In the polynomial x + 13x + 23x + 33, let ak be the coefficient of xk. Find the sum of a2 +...

Q: Let L be the line in R3 through the origin and the point (1, 2,3), and let T: R3 R³ be the linear tr...

A:

Q: Solution of dy/dx + 2xy = y is (A) y = ce* B y = ce -? © y=ce*²_ - x (D y=ce*-x2

A:

Q: determine its root using newton-raphson method. Start at x1 = 0 and carry out the first 5 iterations...

A:

Q: In(3x – 2) dx

A: It is known that: ∫ln xdx=xln x-x+C, where C is the integration constant.

Q: AD = 12.363 "(-1.2278 x 10-1"7² + 6.1946 x 10-°T + 6.015 x 10-)dT a. Use 6 segment Simpson's 1/3 Rul...

A:

Q: dy What is the general solution to the differential equation x = x + y? dx y = x In|x|+ x + C y = x2...

A: The given problem is to solve the given differential equation, we can use substitution method to sol...

Q: 8 24 Let a = and b 26 Is ba linear combination of a and az ? OA. b is not a linear combination. B. Y...

A:

Q: Solve the following: 1. (x-2iy)-(y-ix)=2+i, x=?; y=? Express in Polar Form: 1. 3+i4 2. -3+i4

A:

Q: 3y(x? - 1)dx + (x? - 8y - 3x)dy = 0 when x = 0 and y = 1 A xy (y - 3) = 4(1 - x²) B y (x² - 4) = 3(1...

A:

Q: A steel manufacturing company has 2 types of steel: High Carbon and Low Carbon. The table below prov...

A:

Q: Which among the choices is linear differential equations? dy +ycosx= sin x dx a. d*y = (k + dx4 b. d...

A: The standard form of linear differential equation is: dydx+Py=Q where P and Q are functions of x onl...

Q: z eaz dz 1 Evaluate 2ni is a real constant. where C : |2| = 2 described once in the anticlockwise di...

A:

Q: QUESTION 5 Find all the elements of order 12 in Z48000 -

A: Number of elements of [m] in Zn is phi(m)

Q: Question 6 5 12 B = |1 11 and C = |-9 1 -5 |. Which of the following 14 6 -11 [16 -7 4 -3 13 7 10 0 ...

A:

Q: A computer gaming company employs 10 programmers, 6 graphics specialists, and 3 cre- ative designers...

A: We will use basic knowledge of combinatorics to answer this question.

Q: a0

A: a) The given recurrence relation is: an+2 = -4n+1 + 5an The relation can be written as follows: an+2...

Q: 22 M 19 13 16 25 21 |17 23 14 18 N 20 24

A:

Q: (MULTIPLE CHOICE) Determine which of the following set of functions is(are) linearly depen- dent on ...

A:

Q: Question 2 The median of a sample is the most frequently occurring value in the sample. A) True Fals...

A: In statistics and  probabiliy  theory the median is the value separating the higher half from the lo...

Q: a. Then U \ V)U (V \U) C (U U V) \ (UnV) b. Then UC n V° = (U n V)° (U x V) \ W = (U \ W) × (V \ W) ...

A: According our guidelines I have solved first three subparts.so kindly request you to repost the rema...

Q: 3 Expand (2x? + 3)° 3 Expand (5x° + 5)°. 3 Expand ( 4x 25 +11) 3 4 Expand (* + 20) 3 Expand ( + 2 2 ...

A:

Q: answer part 2 only

A: We will use basic knowledge of Boolean algebra and logic to answer this question.   Since you have e...

Q: 1. Solve the differential equation (4x*y² - 6x°y – 2x – 3)dx + (2x*y-2x³)dy=0

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

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

A: Here we use the technique of Auxillary equation .

Q: Question 19 Find the two square roots of 4i. A v2 - v2i and -v2 - V2i B v2 + v2i and v2 - V2i (c) -v...

A:

Q: .2 dx V4x – x2 3.

A:

Q: 102÷ x 12Z 16275° (a) 2215° (b) – 79. 3

A: It is known that complex notation in angle notation (Phasor): z=z∠θ°   and in Polar form it could be...

Q: 1. Let a and b be natural numbers, where a, b > 2, such that gcd(a, b) = 1 and ab = (x + y)" for som...

A:

Q: z eaz dz 1 6. Evaluate 2ni is a real constant. where C : |z| = 2 described once in the anticlockwise...

A:

Q: Consider the initial value problem and find the solution: a. y" + 5y" + 17y' + 13y = 0, b. y" + 4ay'...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Determine the square root of 155 by finding the numerical solution of the equation x^2 - 155 = 0. Us...

A:

Q: An article in Human Factors (June 1989) presented data on visual accommodation (a function of eye mo...

A:

Q: Jo (1+ For which valMcs af v does twe tamproper inbeg

A: Ghh

Q: Consider the following loan. Complete parts (a)-(c) below. An individual borrowed $90,000 at an APR ...

A:

Q: Find the angle between the vectors a=(2,2,-1) and b=(5,-2,3)

A:

Q: ·x+yi dz Vaz + b

A:

Q: Explain the Pythagorean Theorem, its proofs and applications.

A: The Pythagorean Theorem states, "In a right-angled triangle, the square of the hypotenuse is equal t...

Q: Obtain general solution of the D.E. y' + (1/3)y = e%y4

A:

Q: If e* and xex are solutions of y"tay'tby=- Are soluhons linearly independent? write the soluhion. Al...

A: Given that e−x and xe−x are the solutions of y''+ay'+by=0. We have to check whether the e−x and xe−x...