Use the circle graph to answer the question. A library classifies its DVDS into one of the categories shown. The library owns 1651 DVDS. DVD Categories I Science Fiction 9 % O Foreign 9% I Horror 14% Determine the number of science fiction DVDS. I Drama 12% I Romance 12% O Action 17% O Comedy 27% The number of DVDS is. (Round to the nearest whole number as needed.)

Q: Q2. Let a b c A =|d e g hi f Assuming that det(A) = -7, find (a) det(3A) (b) det(A) (c) det(2A-) a (...

A:

Q: Sketch a graph of the funcloos, 2x,0L×ム a oftended ao a ar - periodio dd functions, graph three full...

A: the given function is fx=2x0<x<π21π2<x<π It is given that the given function is 2π-perio...

Q: A bag contains x red paper clips, (x + 4) blue paper clips, and (3x– 11) white paper clips. a) Find ...

A: The number of red paper clips is x. The number of blue paper clips is x+4. The number of white paper...

Q: If f : [a, b] → R and P be a partition of a, b . Then f is Riemann integrable if and only if its upp...

A:

Q: 4x Find the linearization L(x.y) of the function f(x,y) = e cos (5y) at the points (0,0) and 0,- The...

A:

Q: 2 Let A = -1 -4 Find AN and sin -1 A 2

A: For the solution follow the next steps.

Q: 4) A box contains 5 green, 7 yellow & 10 orange pingpong balls. How many ways can 5 balls be selecte...

A: Permutations and combinations. No.of possible way to selecte gorup of different balls.

Q: Problem 17. (a) Prove that <r is a reflexive, transitive relation on P(E*). (b) Prove that =r is an ...

A:

Q: onsider the following situation, which involves two options. Determine which option is less expensiv...

A: Make a table for the data given for two cars for 1 year  old car New car Insurance 600 900 re...

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

A: Volume of the bounded curve along x-axis. Using disk method

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

A:

Q: b) Solve (D2 – 3D + 2)y = x² + sin x where D = dx

A:

Q: 16. Prove that, for integers a and b, gcd(a, a + b) gcd(a, b). [Hint: Mimic the proof of Lemma 4.2.5...

A:

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...

A:

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: 1 Bin x į sin x, 0sxsn, Prove that f (x) = + 2 2 · If f (x) = { 0. cos 2nx -- n=1 4n? - 1 1 Hence sh...

A:

Q: Let A be a diagonalizable nx n matrix and let P be an invertible n x n matrix such that B = P-AP is ...

A: The complete absolution is in given below

Q: (d) Work through phase 1 step by step. e) Construct the complete first simplex tableau for phase 2. ...

A: The complete solutions are given below

Q: xn+1 = yn     ,     yn+1 = 1 - a (yn)2 + b xn 2) xn+1 = 1 - a (xn)2 + b xn-1 3) un+1  = vn       ,...

A: Given: xn+1=yn, yn+1=1-ayn2+bxn xn+1=1-axn2+bxn-1  un+1=vn, vn+1=a-vn2+bvn xn+1=byn, yn+1=1-ayn2+xn...

Q: 1. Why we need Laplace Transform. Introduce at least 4 relevant applications of Laplace transfrom. F...

A: We have to find the laplace transform .

Q: The terms of the Maclaurin series of the function f (x) = are 1-x OA. 4-2x +-x 2 4 3 OB. O B. 1+-x+ ...

A: Given f(x) = 41-x

Q: 6. Let f: A R be a continuous function. Show that if A is compact then sup f(A) e f(A).

A: Sup(A) under the continuous function

Q: Use the divergence theorem in R to evaluate the surface integral I of the two-form w= (zry + e) dy A...

A:

Q: 2. For the set of equations 2x, + 5x, = 1 2x, + x, + x, = 1 3x, + x, = 2 (a) Compute the determinant...

A:

Q: For the given surfaces, classify the indicated trace (empty set, point, lines, ellipse, hyperbola, o...

A: we have to find the trace on x = 0

Q: 4. Let u o, where o is the zero vector. Show that there are exactly two unit vectors that is proport...

A: This is a problem of vector algebra.

Q: Evaluate (100,000,000,000,000)^2 - (99,999,999,999,999)^2

A: The given expression is 100,000,000,000,0002-99,999,999,999,9992 use the formula a2-b2=a+ba-b

Q: 1. What is the probability that a randomly drawn A number between 1 and 100 for the lottery is divis...

A:

Q: Determine whether x= (0, ,0) is an optimal solution to the following linear program. maximise 3x1 + ...

A:

Q: Thus option (c) is correct. Let G be a group with G| = 96. Suppose H and K are subgroups of G with [...

A: for abelian group -: condition -: 1 closure ,2 associative , 3 -: identity ,  4 -: inverse ,5-: comm...

Q: 5. Let A, Be M¸. Show that I. If A is idempotent, then P'AP is idempotent for any invertible PeM,: (...

A:

Q: 00 (-1)" Given the series 2 n=0 Which one of the following is TRUE? n2+1 A. The series is divergent....

A:

Q: Show that the following limit ry lim (.v)-(0,0) 22 +y? does not exist.

A: Substitute y=mx, and check by applying limit.

Q: Determine whether each of the following series is convergent or divergent using the appropriate te f...

A:

Q: Examine the convergence of the series : (i) 1+x 00 1+ x3 (а + 1) (2а + 1) , (а + 1) (2а + 1) (За + 1...

A:

Q: Solve the differential equation using series: (x + 1)y'' - (2 - x)y' + y = 0.  where y(0) = 2 and y...

A:

Q: The set of exhaustive values of m for which both roots of the equation x2 – 2mx + m2 – 1 = 0 are gre...

A:

Q: Show that the hypotheses: It is not weekend today and it is gloomy than yesterday. (¬WAG) We will go...

A: We first see that not gloomy and sunny or not sunny and glooomy are equivalent.  i.e., ~Gloomy ≡Sunn...

Q: 2. An automobile travelingat the rate of 20m/s is approaching an intersection Whenthe automobile is ...

A:

Q: NUMBERS: 1. A = 6 + 7i POLAR FORM 2. B = 5230 > RECTANGULAR FORM 3. С 3D 15 — 201 EXPONENTIAL FORM 1...

A:

Q: The terms of the Maclaurin series of the function f (x) = are given by O A. 15 4 4 O B. 4– 2r 3 4- 2...

A:

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How ...

A:

Q: to hundrea

A: Introduction: A number system could be a means of expressing numbers through writing. it's a notatio...

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

A:

Q: Find Fourier transform of f (x) = x e¯×,0 < x < ∞. %3D

A: We have to find the Fourier transformation of the given function f(x).

Q: 16 (ii) 8. 25 mDAS

A:

Q: Theorem 10 bounded veriation on la bl Then f is bounded on lo. bl Let (a, b] C R and f : [a, b] → R ...

A:

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: One of the following is a general solution of the homogeneous differential equation y" – 7y + 10y = ...

A:

Q: Many package delivery services charge a base price for packages up to some weight and a surcharge fo...

A: The following steps are used to find the solution of the given problem.  Identify the decision vari...