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Q: 2. Prove Lemma: For all sets A, B, and C, A x (BnC) = (A × B)n (A × C)

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Q: Set up an integral that represents the length of the curve. Then use your calculator to find the len...

A: The length of a curve x=f(y) between the limits y=a to y=b is given by the equation; L=1+dxdy2dy

Q: Write the following sentences in symbolic logical form: 1. If Tom is Anne's father, then Joe is her ...

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Q: -2 Use Gauss-Jordan Method to find the inverse of -4 1 -1 1 1

A:   To find inverse write given matrix in the form of augmented matrix [A | I] Perform row operation u...

Q: Find the center of mass and the M 2 dr ncit

A: Given, the curves          x=y2, and x=2y-y2 and density function ρ(x, y)=1+y          

Q: How many permutations of the letters ABCDEFGHIJ contain ) the string EF? D the strings BCA and FGH? ...

A: Use the given information.

Q: Finish labeling the number line. +++ -2 28

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Q: 3. Let A = {1, 2, 3, 4}. Let F be the set of all functions from A to A. (a) How many pairs (f, g) E ...

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Q: Explain how many intercepts the following trigonometric function has for -2T < x < 0, and determine ...

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Q: Prove by simple induction on n that 2^n > n

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Q: There are 4 routes from A to B, 8 routes from B to C, and 12 routes from C to D. How many routes are...

A: Given : The number of routes from A to B is 4 The number of routes from B to C is 8. The number of r...

Q: 51. Estimating a Definite Integral The table gives the values of a decreasing function f for various...

A: Riemann sum

Q: Use Gaussian elimination in matrix form to solve the system. z + 2y – 4z = 5 2x + y – 6z = 8 4x – y ...

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Q: Laura wants to accumulate P150,000 in her bank account by depositing P1000 at the beginning of each ...

A: We know that , Annuity  formula is given by ,  A =  P1 + rnnt - 1rn Where ,  A = Amount after t year...

Q: y" - J[2- +) y' determine the largest rectangular region r in which the IVP has a unique solution on...

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Q: A police department for some city has 108 new segways to be apportioned among six precincts. The dep...

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Q: Discrete Math Use induction to show that n^4 + 15 is a multiple of 16 for every positive odd intege...

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Q: Simplify down to a single integral in terms of . .3 /9-x² 63–42²–4z² Volume = 1 dy dz dx = Σ da. V9-...

A: ∫-33∫-9-x29-x2y3x2+3z263-4x2-4z2dzdx

Q: Given ƒ = {(0,1), (2, 3) , (5, 10)} and g = {(2,1), (3, 1), (1, 2) , (5, 3) , (4, 5)} , determine th...

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Q: dx dy 5et %3D dt dt

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Q: If AB = [0], then A or B is a zero matrix. .. True False

A: We have to find that if AB = [0]  then A or B is a zero matrix is true or false

Q: Let B = {12,20,22,24} and C = {3,12,15,20,19}. C= {12,20} - ... Which symbol inserted in the blank w...

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Q: Consider a tournament between N teams, each team playing each of the other teams. 1) How many games ...

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Q: Sketch the region below the function f(x)=1−x3 over the interval [0,1]. Sketch graphical interpretat...

A: We are given a function : f(x)=1-x3 over the interval [0,1]. We need to sketch rectangular approxima...

Q: Let G = A, and H = ((1 2 3)). a) Find the left cosets of H in G. b) Find the right cosets of H in G....

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Q: HW3: Using the variables separation method, find the solution for the = 0 regarding the initial cond...

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Q: Which of the following is not in reduced row echelon form?

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Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

A: Here given D is the triangle having vertices 0, 0, 2, 1 and 0, 3 And density function is  ρx, y=5x+y...

Q: Let T be a matrix transformation with standard matrix -4 3 2 -5 6. 1 A = 2 -7 2 8 1 -4 6. 5 1 -8 Wha...

A: Given : Matrix A is of order  4 × 5 To find : To find domain of transformation 

Q: solution

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Q: Find the exact length of the polar curve. r = theta^2,    0 ≤ ,theta ≤ pi/4

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Q: Combined test scores were normally distributed with mean 1493 and standard deviation 345. Find the c...

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Q: The determinant below is equal to ... 1 -2 5 2 0 0 3 0 2 -6 -7 S 4 4 -6 -3

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Q: Find a basis for the subspace spanned by the given vectors. What is the dimension of the subspace? 2...

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Q: [1 0 Which of the following values of a will make |2 2 ... non-invertible? lo 2 -a. A) 5 B) 0 c) 4 D...

A: correct option is C.4

Q: Using Upper and Lower Sums In Exercises 37 and 38, bound the area of the shaded region by approxinma...

A: Lower and upper sum of the function

Q: A resort plans to apportion 53 new toboggans among the four resorts based on the number of rooms in ...

A: Given:  Resort A B C D Total No. of rooms 89 120 143 248 600 To find: Find the number of tob...

Q: A coin is flipped 10 times and the sequence of heads and tails recorded. In how many ways can a sequ...

A: Here we need to use binomial distribution   

Q: c) Convert the following expression to operator prefix notation, and draw the derivation tree. 7*3-3...

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Q: 1 3s 11. Set F(s) = +e s/2 +s s2 +1 {, 0 7/2 1+ cos r, (a) 1+3 sin x - cos r, 0 n/2 1- cos x, (b) 1+...

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Q: A small country with a population of 8,000,000 consists of four states, A, B, C, and D. There are 16...

A: (a) Given standard divisor is 50,700, using this we need to find the modified quota. 

Q: Pls help ASAP.

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Q: x + 3 . (x + 3)² 1+- + ... 22 32 Show your complete solution. Indicate the test/s performed, if nece...

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Q: Show that for any planar graph, v – e + ƒ = 2. (Note that in the above example, we have v = 6, e = 7...

A: We will be solving Q.1 as mentioned. We need to prove that for a connected planar graph v-e+f=2, whe...

Q: 2 ... Let A and B be 3 × 3 matrices such that A 3 = B| 6. The matrix C = A – 2B is invertible, [5] l...

A: Given C = A - 2B

Q: [1 0 e (A 3 1 0 lo o 1l 0 0} 3 1 0 0 1] 1 [0 1 0 li [1 0 07 0 3 0 Lo

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Q: A cold drink inttially at 38°F warms up to 44°F in 2 min while sitting in a room of temperature 69°F...

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Q: Suppose you have just finished approximating f(x) = x' for 0<x <a and ended up with φ (α, x ) α x. %...

A: Given:f(x) = x3 for  0 ≤ x ≤αand φ∧(α,x) = α2x  

Q: (fif2..f)is di fferentiable at x, proofthat ... by using f(x)– f(*.) f (x)=lim, x-x,

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Q: A paint company has large outlet stores in two cities. Ten samples of the weekly sales (in tons) for...

A: The complete solution is in given below  

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.