82 cities were surveyed to determine sports teams. 23 had soccer, 19 had football, 17 had basketball, 10 had soccer and football, 10 had soccer and basketball, 9 had football and basketball. 4 had all three. I II III V IV VI VII VIII Let A = soccer, B= football, C = basketball. How many had only a basketball team?

Q: ipounded instantaneous interest rate curve is given by 6. Assume that the ri(t) = 0.02 + 0.05 In(1 +...

A: Given :The Continuously compounded zero rate curveri (t) = 0.02 + 0.05 ln(1+0.2t)  

Q: a. Show that the series is conditionally convergent at æ = 3. %3D b. Identify the interval of conver...

A: This is a problem of series.

Q: Determine continuous time Fourier transform for the given signals. x(t) 1 1, t20 0, t < 0

A:

Q: y 2x - 1 Graph: ys -글a-2 -5 -4 -3 -2 -1 3 4 5 -2 -4 -5+ Clear All Draw:

A: Given:  y≥2x-1y≤-12x-2 To sketch: Graph of given inequalities.

Q: Given the following weighted voting system [16: 12, 7, 4], is there a player that veto power? If so,...

A: In this question, the weighted voting system is given as- 16:12,7,4 Do we have to determine which pl...

Q: 1. Use the Euler, improved Euler and Runge-kutta methods to solve the following ODES:

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

Q: If the extremal of a functional J(y) is given by y(x) = A(x? – 1)² + e2« and the associated Lagrangi...

A:

Q: For the function:     F(x) = x3/3 – 3/4x2 – 27/2x +39 (i) What is the range of values over which ...

A: Introduction : The function F(x) will be concave downwards if F"(x)&lt;0  

Q: The paths r(t)=(12, t3)" (t) = (t", t") and r1(t)=(t4, t6)"1 (t) = (e", t") trace the same curve, an...

A: Given : rt=t2,t3 r1t=t4,t6

Q: DAG Constant Folding Algorithm Examine a DAG recursively and collapse all operators on two constants...

A: To examine: A Directed Acyclic Graph (DAG) recursively and collapse all operators on two constants i...

Q: Prove by contradiction that if m, n € Z, then m² - n is even or m-n-1 is even.

A:

Q: Suppose U and v are conformally equivalent. Prove that if U is simply connected, then so is V. (Rema...

A: Given that U and V are conformally equivalent that is there exist a mapping f from U to V such that ...

Q: The table shows the total number of trade apprenticeships in Canada each year from 1991 to 1997 a) C...

A: (a) Plot the data on the cartesian plane using the Desmos.

Q: Let f (z) = e10z Part (a) Find the integral of the function f (z)on the circle of radius 2 centered ...

A:

Q: a) Find the sohition. Set zlog,2-3 log, y=t aind log,x-llog %3D

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

Q: What is the volume of the solid obtained by rotating the region bounded by the graphs of y = Va =2-r...

A:

Q: (Use The Figure (10.20) to find the solution of this question) An embankment load on a silty clay so...

A:

Q: Determine from the graph whether the function has any absolute extreme values on [a, b]. Then explai...

A: For given graph, Absolute Maximum is at x = d. and  Absolute minimum does not exist.  

Q: Let A E Mnxn(R), show that it is possible to express A as the product, A = PQ where P,Q E Mnxn(R), a...

A: Given: A matrix A∈Mn×nℝ   To show: A=PQ, where P,Q∈Mn×nℝ such that P is positive semi-definite and Q...

Q: Q2.) for the function shown in fig 1) At what value of t, the function is continuous. 2) Is the func...

A:

Q: 15-20 1 Solve the initial-value problem. 15. х*у' + 2ху 3 In x, у(1) 3 2

A: Since you have posted a multiple question according to guildlines I will solve first question(Q15) f...

Q: Show that - a is not the inverse of a e N for the addition operation + on 1 N and - is not the inver...

A:

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H)+ K. where t...

A:

Q: 3) Let r(x) = 2x2 Sketch the graphs of the functions in the same xy-plane in the following steps. x²...

A:

Q: A circle of radius r has area A = r. If a random circle h

A: Given, a circle of radius r has the area A=πr2.  If a random circle has a radius that is uniformly d...

Q: 10. Find the dimension of the subspace of P3 consisting of all polynomials ao + ajx + a¿x² + a3x³ fo...

A:

Q: X = {p, q, r, s} Y = {4, 5, 6, 7, 8} The function f: X → Y is defined as: f = {(s, 8), (r, 8), (q, 8...

A: We want to find elements in the range of function f.

Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will ...

A: Given- The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular an...

Q: Q4 B) Find y' for the functions cos(xy) + 3*+cos ly+ In(xy) + log-7 dy

A:

Q: Let T: V → V be a linear operator whose characteristic polynomial is pT(x)=x2(x−1)3(x+2)2. Judge eac...

A:

Q: 10. Using Newton's method and an initial guess of xo = -3, approximate the solution of x3 – 3x + 3 =...

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to approximate t...

Q: 8. Consider the region bounded by y =- * , y = Vx, x=1. х

A: Let us consider the curve y=f(x) and y=g(x) The area under the curve y=f(x) and y=g(x) in the interv...

Q: Q1. Let V 12) : x € R. Is W a subspace of V? Expalin your 3x = R3 and W = answer? Q2. Show that M2x2...

A: Note: Our guidelines we are supposed to answer only one question. Kindly repost other questions  as ...

Q: A coin is tossed three times. Let H and T be the head and tail shown on the side of the coin facing ...

A:

Q: What is the median of a normally distributed random variable with mean ? and standard deviation ??

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is ...

Q: 10. Find the dimension of the subspace of P3 consisting of all polynomials ao + ajx + a2x² + azx³ fo...

A:

Q: 2 Simple Complex Roots. Initial Value Problem Solve the initial value problem y" - y" + 100, - 10y =...

A:

Q: [3.0 augmented matrix is 0.6 2.0 1.5 -0.3 2.0 1.5 -0.3 -5.0 | 8.01 -5.4 | 2.7 2.4 | 2.11 1.2

A:

Q: Compute * sin x dx. x4 + 1 p.v.

A:

Q: (a) The quadratic equation produced to model the trajectory of a test missile is y = -0.0822 + 2.15r...

A:

Q: 1. Prove that for every real number x, if |x-3| > 3 then x² > 6x. (Hint: Consider two cases)

A: Solution

Q: 1. Use the Euler, improved Euler and Runge-kutta methords to solve the following ODES: d. ý =(1+)y, ...

A:

Q: Let M be a real square matrix such that M3 + M = 2M². Prove that M is diagonalisable.

A:

Q: Use the direct methods to Solve the fellowng systems of algeboriac equatiens XI + X2+ X3 t X4 = 3 2X...

A:

Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 2 7 -1 -2 -3 i. A(4) = i. A(9)...

A: (i) The integral for x=4 can be represented as follows:

Q: Determine the rank and nullity of the matrix. 2 -1 0 1 5 2 1 -4 -1 -4 -1 6 -8 -5 -2 9 The rank of th...

A:

Q: Prove that every maximal matching in a graph G has at least a'(G)/2 edges.

A:

Q: i = r? + y? – 13 ý = ry - 2x – 2y + 4

A:

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assum...

A: Force on the vertical sides is given by  F=w∫0ahy Ly dywhere a=height of the tankw=weight-density of...

Q: QUESTION 30 -1 POINT 16z + 36z – 3y +36y – 2 does the critical point 3 2) correspond to alocal For t...

A: