Fill in the blanks: (a) C.P. = 400, Profit per cent = 15% %3D %3D (b) C.P. = 300, Loss per cent = 25% %3D %3D (c) C.P. = 700, Loss per cent = 30% %3D %3D (d) C.P. = 800, Profit per cent = 20% %3D %3D

Q: GIVEN COMPLEX NUMBER 2. (4 + 5i )(4 – 5i)

A: Given complex number is (4 + 5i)(4 - 5i)

Q: 3. Let S be the set of BS Math students, M be the set of math courses/subjects, and p(s, m) be the p...

A:

Q: (3-i)

A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy problems....

Q: 3. If mAD = 85° and mBC= 31', find the value of x. 31 (13r- 21)

A:

Q: Find the harmonic conjugate of the following. 10. х2-y2+y

A:

Q: One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 25...

A: Lets say 1 ounce glass of apple juice contains x mg of vitamin C and 1 ounce glass of orange juice c...

Q: Two cars started at 8:00 AM from Agoo each heading for Baguio. One car’s average speed is 10 kph mor...

A: let the speed of one car is x kph according to question , other car's speed is 10 kph more  implies,...

Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y? = x and y = 2 ...

A:

Q: Honey's store has a number of bikes and tricycle for sale. There are exactly 60 wheels all together....

A: There are x bike and y tricycle.  Total number of wheels=60.

Q: Eratosthene5-Legendre

A: It is problem of analytic number theory

Q: In a trivariate distribution, 01 = 3, 02 = 03 = 5 12 = 0-6, r23 = 31 = 0-8 Find () r23.1 and (i) R1 ...

A:

Q: Let f : [0, 3] – R be the function x - 1, 0< <1, 1<x < 3, f (x) = 5, x = 3. Evaluate L(f, P) and U(f...

A:

Q: Use technology to maximize the following. You may round answers to 2 decimal places if desired. Maxi...

A:

Q: (-2 2 13 -1 -2 8 0 6 What is the cofactor of the element zero (0) in the matrix (-1 -34 3 34

A:

Q: Problem 3.5. Find the second order asymptotic expansion at (r, y) = (1, 1) of the following function...

A: Since you have asked multiple questions, we will solve the Question Q1 for you. If youwant any speci...

Q: 1) Write f(x). 2)Find the continuity at (x = -3, x= 0, x 2) 3) Find D & R 4) Sketch f(.3t+3) 5Find D...

A: As per the company rule, we are supposed to solve only the first three subparts of a multi-part prob...

Q: 1. Define the function f(x, y) on the non-negative integers recursively by (2f(5,y) y + f(x – 1, y) ...

A: The complete solutions are given below

Q: The handle of a newly manufactured skillet pan, which is of length 6 inches, has a perfectly insulat...

A: In part (a), we form the initial and boundary conditions from the given data in the question. In par...

Q: c f(t) = 10cos2wtsin2wt %3D

A:

Q: Find the products AB and BA for the diagonal matrices. 5 A = -3 0 B = 0 -2 0 4 AB = I 1 BA =

A: Given Matrices are A = 500-2  ,   B = -3004

Q: 4. Find a quadratic polynomial with roots -1 and 2. A. a2 a + 2-0 B. a2- a 2-0 C. a2 + a 2 0 D. a2 +...

A: We have to find the quadratic polynomial with roots -1 and 2

Q: Construct a function that is undefined at points 2,3 and π

A: We have to write a function fx which is not defined at the points x=2, x=3 and x=π. We know that a f...

Q: Let T = {o E S4|0(3) = 3}. (a) Show that T is a subgroup of S4. (b) Prove that T= S3.

A:

Q: A musical scale has 12 half-tones that correspond to the 12-hour clock. What note is 6 half-tones ab...

A: Solution:- as per guidelines I submit first question only

Q: Find the harmonic conjugate of the following. 9. ex*-у* cos (2ху)

A:

Q: y' = 2x y+a²y? y(0) = -2

A:

Q: 1. (a) Let e be some positive number. Show that |r- 4| <+ 13r – 12| < « (b) Assume that g(x) is a fu...

A:

Q: Compute the determinant using a cofactor expansion across the first row. Also compute the determinan...

A:

Q: Write a vector of magnitude 5, parallel to the plane 3x + 4y + 5z = 10 and perpendicular to the vect...

A:

Q: How long was ₱30,000 invested at a bond growing at an average rate of 8.25% compounded monthly if it...

A: The compound interest formula is  A=P1+rnnt where A= total amount P= principal r= interest rate t= t...

Q: Use technology to maximize the following. You may round answers to 2 decimal places if desire Maximi...

A:

Q: (a) y-y-0 K0)-1 (b) +V-2y-3t (0) 0

A:

Q: (a) +-y-0 (0)-1 V(0)-0

A:

Q: 7. You must explain your reasoning. Consider the following radial vector field F: (a) Is Fa conserva...

A: The complete solutions are given below

Q: For the complex number z = 3 – 4i, solve for z2 – 12z + 52.

A:

Q: 50. Pigs will fly and monkeys will fall out of my nose, if I ever take another logic class. (PFMNT)

A: Pigs will fly and monkeys will fall out of my nose. If I ever take another logic class.  This statem...

Q: Suppose there are two firms (the industry is a "duopoly"), each firm's cost function is the same, gi...

A: The complete solutions are given below

Q: Use the method of variation of parameters to find a particular solution to the following differentia...

A:

Q: 3. A bag contains 8 red, 6 blue and 4 green marbles. In how many ways can these drawn be made: a. 6 ...

A: The word combination is required when there are no order fro selection. The total number of marbles ...

Q: 2 – 1 Find the values of a for which the matrix A = 2– 2 1 is invertible. 2

A:

Q: 1. Prove that a bounded divergent sequence has two subsequences converging to dif- ferent limits.

A:

Q: Consider the sequence 5, 10, 15, 20, ..., 5n + 5. a. How many terms are there in the sequence? Your ...

A:

Q: b. Recall that f(x) = 2*-1 - 1. Graph of f,(x) = f(-x) + 2, f2(x) = f(-x+ 1) +1, and fs(x) = f,(x) +...

A:

Q: A real number r is said to

A:

Q: The A-Plus auto parts store chain has two outlets, one in Manila and one in Laguna. Among other thin...

A:

Q: (2.4 2xdx 1+ x2

A:

Q: Problem # 5e Is the function 0, x2, -2x² + 6x + 3, 1 3 a spline function? Why/why not?

A: We use definition of spline function to answer the question no. 5

Q: y' + z' - 2y = 1 z – y' = t %3D Yo = 20 = 1 %3D -

A:

Q: 2 (a) Derive a formula for the Taylor series expansion of f(x) = using a = 0. 2-x Use f(x) = E f") (...

A:

Q: -4 - n<t < 0 f(t) = { 4 0<t<n

A: Given periodic function is:f(t)=-4   -π&lt;t&lt;04          0&lt;t&lt;πWe have to find b1