Use the circle graph to answer the question. A library classifies its DVDS into one of the categories shown. The library owns 1577 DVDS. DVD Categories I Science Fiction 79 O Foreign 8% I Horror 13% I Drama 14% I Romance 15% O Action 18% O Comedy 25% Determine the number of action DVDS. The number of DVDS is. (Round to the nearest whole number as needed.)

Q: Mr. W wants to divide a class of 20 students into 5 groups of 4 for a same task, In the class, Peter...

A: Given information total number of students =20 Number of students in a group =4 Total number of grou...

Q: Find the value OF the Modulus oF Z in z=(2-1)(5+j12) 3.

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Q: Every bounded sequence is convergent. True False O

A: A sequence is of the form an The limit of the sequence is obtained as limn→∞an=L Bounded sequence: A...

Q: Detremine the Inverse Laplace of the ff: F(s)= (2s + 1)2 s4 show complete solution

A: We determine the inverse Laplace transform of  F(s)=(2s+1)2/s4

Q: Series{ 1/n } from 1 to infinity find how many terms are required for the sum to exceed 100

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Q: Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and ze...

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Q: 2. Find the coordinate vector of & = (2, 3) relative to the basis B = {(1,0), (1, 1)} in vector spac...

A: As per your query the solution of the question (2) has been done. For the solution of the problem fo...

Q: Let în be a unit vector in a direction specified by the polar angles (0, ø). Show that the component...

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Q: Find the determinant using elementary row operation/cofactor expansion

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Q: using truth tables, show that the following premises leads to tautology: (A^~C)v((BvC)v~(CvA))

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Q: PLEASE don't use excel for this. Show the solution with formula needed. COMPOUND INTEREST 1. What ra...

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Q: Solve the following differential equation using determination of integrating factors: 2y (x2 - y + ...

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Q: Let D be the open unit disc in C. Lel g: D-> D be holomorphic, g() = () & let (g(2) h(z) = (s'(0) ,Z...

A: let D be the open unit disc in C , WE Using schwartz lemma . WE CHECK OPTION  ONE BY ONE 

Q: Hw find the vector whose length is 1o and Sumofit's components 8 is Min imum 9 11 12

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Q: Consider arranging flags along the length of a flagpole. Rectangular flags come in six different col...

A: Rectangular flag come in six different colors and triangular flag come in two different colors . Top...

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

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Q: Find the complete or particular solution of the following diffi- rential equations:

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Q: (a) The equation of a surface is given as f(a,y) = e"(x* -ay + y*). 1 (x2 (i) Calculate all first an...

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Q: Consider the group G = Dg × Z/6Z, and let N = Dg x {0}. Show that N 4 G and that G/N = Z/6Z. Now Z/6...

A: Given is a group G and a subgroup N of G. First we use the definition of Normal subgroup to show tha...

Q: Rodrigues formula prove

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Q: c) The operation (ao + a1r + azx², bo + bịx + b,x²) = aobo + a¡b1 – azbz defined on P2 has all the r...

A: We have to check whether the operation defined on P2 satisfies all the properties to be an inner pro...

Q: Ssin'r cos"xde .2 x cos-xdx xp: 4.

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Q: Eliminate the arbitrary constants in y = ex + c1e2x + c2e-3x

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Q: XCt) = Ct +2)sin Ct -4) xct) = 3(t/4) e 78

A: Some of the properties of Laplace transformation Ltnf(t)=(-1)ndndtnf(t) Laf(t)=aLf(t)Lsinat=as2+a2Lc...

Q: Solve the recurrences relation A¸ = 4 · A 3 · A n-1 1 n-2 subject to the initial conditions A¸ = 1 5...

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Q: Kindly solve this without shortcut. Very complete solution. Thank you! (4x3 y – 15x2 – y )dx +(x4 +...

A: we have given the differential equation  4x3y-15x2-ydx+x4+3y2-xdy=0 we have to solve the given diffe...

Q: Which of the following is NOT proportion? * A. 25:100= 1:4 B. 7:8= 21:24 C. 9:12= 3:4 D. 13:26= 1:3

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Q: The population of a country has been decreasing for several decades. In 1990, the population was abo...

A: The population has decreased to 151 million from 154 million.  So, that is a decrease of (154 - 151)...

Q: radius of convergence of the series - n=0 n2+ Σ is equal to ......... 2.

A: Given series is ∑n=0∞1n2+1x+12n

Q: Continuous Compound Interest. An investment of $25,000 earns interest at an annual rate of 8.4% comp...

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Q: If A and B are true propositions, and K and Mare false propositions, determine the truth value of* (...

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Q: Evaluate the unoriented line integral (2æ² + y² + z²) ds along the parametric curve a : [0, 1] → R³ ...

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Q: Given that lim n2(x- 5)" converges by the Ratio test. If x EZ then the numerical n- 00 value of x is...

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Q: II. Solve for the indicated variable. =(÷+(b - ), for t b. S d2.

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Q: Consider the function f(r,v)- (a) Find and sketch the domain of f(z,y). Shade the region correspondi...

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Q: 5. ydx - (x +3y')dy = 0 Ans. x = 6y In C

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Q: Homework. Find Sup, Inf, Max, Min of the following subsets of R: 1) S, = {2-P + 3-4 + 5-" : p,q,r €Z...

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Q: Given the set C=(2,4,6,8}.Consider the relations R 1 and R 2 defined on C as follow: (x, y)e Rz if a...

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Q: -. Which coordinate plane is closest to the point (7, 3, 8)? Find an equation of the sphere with cen...

A: we have to find the coordinate plane that is closest to the point 7,3,8 and also find the equation o...

Q: (1) Let x, y E R be positive real numbers. Then: a) 3n EN3 x< ny. (b) 3neN 9 0< < y. (c) 3n ENDN-1sy...

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Q: Given the set C=(2,4,6,8).Consider the relations R 1 and R 2 defined on C as follow: (x, y)e Rị if a...

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Q: (a) For what values of x is the following series convergent? Σ 00 n=0 (b) Find the value of x that s...

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Q: Consider the trigonometric function y= 2sin - Wewill il out the table and plot S points so that we c...

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to...

Q: 4 The terms of the Maclaurin series of the function f (x) = are given by OA 4 – 2x+ 2-+. 3 2 4 O B. ...

A: We have to find the maclaurin's series to the given function.

Q: a 'n+1 If the power series 2a (x- d)" is such that lim n=1 a L 00 - Which one of the statements foll...

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Q: n n ( a) Σ n3 +1 n=1 n² + 1 ( b) Σ n n3 +1 n=1 n3 (c) 5η n=1

A: (a). Given series is ∑n=1∞nn3 + 1 Here an = nn3 + 1 let bn = 1n2 So limn→∞anbn = limn→∞11 + 1n3 = 1 ...

Q: Please write if the set that is given is a semigroup or a monoid or a group of none of all with cons...

A: Given that H be a set with a binary operation * that assigns to each ordered pair (A, B) of elements...

Q: Given the set C={2,4,6,8}.Consider the relations R 1 and R2 defined on C as follow: (x, y)e R; if an...

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Q: an+1 Assume that | an | converges top = ÷. What can you say about the convergence of the given serie...

A: I have used ratio test to conclude the series is convergent. 

Q: 5) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-card hands are possible? ...

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