1. A girl has 6 bags, 11 dresses and 7 pairs of shoes. On how many different ways can she dress up? 2. A student must take a science course, a social studies course and a mathematics course, If he may select of 3 Sciences, 2 social studies and 3 mathematics course. In how many ways can he arrange his program?

Q: If u = x² cosy+ ye", where x = s+2t and y = st, prove that ди ди 2- (s – 21) (x siny- xye – e"). - a...

A:

Q: Two players, Fredo and Karl, on different teams wanted to find out who scored the higher number of p...

A:

Q: dy-yin(yedx=ycos

A:

Q: aximum v al [1, 5] is

A:

Q: (x) = 5sin2x

A:

Q: 3. Ca For all sels A. Band C. A-CRIC) = CA-B)NCA-C)

A:

Q: 4. Let H be a subgroup of R under addition. Let K = {2a : a € H). Prove that K is a subgroup of R' u...

A: Due to Bartleby guidelines i can only answer first question kindly upload rest question seprately Fi...

Q: Classify the number as a member of one or more of the following sets: the rational numbers, the inte...

A:

Q: A band of 23 weary travelers entered a lush forest where they found 63 piles each of containing the ...

A: The Diophantine equation is very important in number theory. It contains two variables and one equat...

Q: = x2 – 5x + 7, what ar x- 2)?

A:

Q: 4. (y² cos x - 3x²y – 2x) dx + (2y sin x – x³ + Iny) dy when x = 0, y = e %3D 5. (x² – 1) dy = ((1 +...

A:

Q: A sequence ao, a1, a2, ... satisfies an = n· an-1+(-1)" for n > 1. If a5 = 44, then az %3D %3D Answe...

A: We have a sequence, an = n · an-1 + (-1)n  ,  n ≥ 1 We have ,  a5 = 44 we need to find ,  a3 Now, Pl...

Q: Y = %x + 2 Sl Slope: 3- Y-intercept: 2- Y- -2 -1 2 3

A:

Q: A UFO (Unidentified Flying Object) is moving in such a way that the vertical distance between the gr...

A:

Q: List the first 10 terms of the sequence whose nth term is 3 raise to n − 2 raise to n.

A: Given  Sn=3n-2n  

Q: Which of the following is equivalent to the propositional form -(E→P)v¬Q if we apply De Morgan's Law...

A:

Q: Determine if the graph shown below is Eulerian or Not * Eulerian   Not Eulerian

A: We have given the graph we have to show that weather the given graph is Eulerian or not  

Q: Find the equation of the osculating plane of the helix x = sin 2t, y = t, z = cos 2t at the point (0...

A:

Q: Let f(x) = x2 – 6 and po = 3 and pi = 2. Use Secant method Example: to find p3.

A: Given: f(x)=x2-6, p0=3 and p1=2 To find: Value of p3 using Secant method.

Q: DB1.1: Mathematical modelling is an important skill in egineering. If there are behaviors and phenom...

A: Solution:- Modeling involves to formulate the real-life situations or to convert the problems in mat...

Q: 8. Give an exanmple of each of the following : (a) a set which is a nbd. of each of its points, (b) ...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Let f(x) = x² +1 € Z3[x] and let R= Z3[x]/I, where I = (f(x)). (a) Show that R is a field with 9 ele...

A:

Q: Let u(x, y) = 2x + 3x²y - y³. |(i) Show that u is a harmonic function. i) Find a harmonic conjugate ...

A:

Q: dx (x+5)+9

A:

Q: 2. Use the identity coss+ sin s=1 to find the value of x or y, as appropriate. Then, assuming that s...

A: To find- Use the identity cos2s + sin2s = 1 to find the value of x, y, as appropriate. Then, assumin...

Q: The earth is approximately 92,900,000 miles from the sun. If 1 mile = 1.61 x 10° m, what is the dist...

A:

Q: Use the substitution x = e' to transform the given Cauchy-Euler equation to a differential equation ...

A: When a differential equation is written in the form of xndnydxn+xn-1dn-1ydxn-1+...+xdydx+y=fx The eq...

Q: Q4: using scalar prodect to find the angle between A= 2i+3j+1k B= -4i+2j-1k

A:

Q: consider the initial value problem 2y" – xy + y = 0, y(0) = 2, y/ (0) = 3

A:

Q: Given f(a) = and g(x) = 4x + 5, find (go f)(x). Select a single answer 4x + 15 x + 10

A:

Q: Use the augmented Euclidean Algorithm a. to find (201, 147) b. Solve 201x + 147y = (201, 147). c. Us...

A:

Q: Cool Down: What Did You Do to My Graph? Here is a graph of a function, ƒ, and graphs of two transfor...

A: Vertical Translation To move a graph up vertically by 2 unit, we adjust the yy value. Every point of...

Q: 10. Let - 2 1 0 A=| 0 4 3 1 (a) Find elementary matrices E3 E,E,A = I3 (6) Express A as a product of...

A:

Q: If there are 350 four-block partitions of n that contain the set {n}, how many three-block partition...

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

Q: 1. Consider the following groups G and H, K < G. If G is isomorphic to H × K, give an isomorphism v ...

A:

Q: A predicate is a sentence that contains a finite number of variables and becomes a statement when sp...

A:

Q: Consider the following Tarski world: b d A h i k Predicates exist as follows: Blue(x) means x is blu...

A:

Q: Simplify the expression (ūm - ) (1 +i). 4) (1+ i).

A:

Q: The table below² shows the median monthly rent (in January) for a one-bedroom apartment in the Hyde ...

A:

Q: atrix A-1

A:

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is eq...

A: We have to prove the identity 1+tan2x1+cot2x=tan2x. Use formula tanx=sinxcosx and cotx=cosxsinx Take...

Q: Find

A:

Q: Find integral of 24 du 2. (4²-1)²

A: We need to find ,  ∫2uu2 - 12du Now, plug ,  u2 - 1 = v ⇒ dv = 2u du  

Q: Calculate f 4y dydx, Where R is a region bounded by y=x² and y=-3x-2 R

A: The given question is related with double integral . Given that R is a region bounded by y=x2 and y ...

Q: In the first game of the playoffs, the Toronto Maple Leafs scored six more goals than the Montreal C...

A: Given: Toronto Maple Leafs scored six more goals than the Montreal Canadiens. Total goals are 104

Q: Let m and n be positive integers. Prove that mZe nZ is an ideal of Z e Z and that Z eZ S Zm O Zn. mZ...

A:

Q: 4 Emission Cuts by Poor Countries A • 2 1 (larger cuts) 5 SQ 3 Emission Cuts by Rich Countries (larg...

A:

Q: 5

A:

Q: grating factor o

A:

Q: (-1)"n For positive integer n, let a, 3n Determine whether the sequence {an} is convergent. (a) (b) ...

A: