Q. Let X = {a, b, c},define the function . : P(X) [0, 00) by 2 if a E B 0if a ¢B then Pa(B) = is not a measure. 2. 1. Pa a measure and H.(X\{a,b})= 1. Ma is %3D is a measure and u(X\{a,b}) = 0. 4.None of these. 3. Pa Option 1 Option 2 Option 3 Option 4

Q: Select all the real numbers M among the choices below such that the two planes given by r- = -2 -2…

A: To select the value of M such that the given two planes do not intersect. If the two normal vectors…

Q: Question [5 points): L{4e * – 12t} = 4 -(0-3)t *dt – 12 te*dt Select one: O True O False Question [5…

A:

Q: Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y…

A: Given quadratic surface is 100x2+36y2+225z2=900. a  We have to write the name the given quadric…

Q: Solve the system of linear equations using direct methods x + y+ z+ w = 6 2x + 3y - w = 0 -3x + 4y +…

A: Introduction: Gaussian elimination, often known as row reduction in mathematics, is a method for…

Q: Consider the linear system X1 -x2 +x3 +x4 3 -2x1 +x2 -2x3 -7 3x1 -2х2 +3х3 +x4 10 Bring the…

A: System of linear equations, using argumented Matrix

Q: Approximate the solution to the wave equation: 1 ô’u (x,t)- 16r? a (x,t)=0 for 00 167' ôx? u(0,t)=…

A: Given : wave equation        ∂2u∂t2x, t-116π2∂2u∂x2x, t=0  for 0<x<0.5 and t>0subject tou0,…

Q: For a certain product, cost C and revenue R are given as follows, where x is the number of units…

A:

Q: (a) Employ Crout's decomposition to solve the system. 5x1 - x2 = 9 -X1 +5x2-X3 = 4 -X2 + 5x3 =-6 %3D

A:

Q: 9. Using calculus to show minimum and maximum values taken by functions, find and prove(Create your…

A:

Q: The relation on the set of integers R {(x, y) : 5 divides a- y} is O a. an equivalence relation O b.…

A:

Q: Endthe nadiuy vt convergenue fserser 多 2m 26

A: Radius of converges of power series

Q: You should use algebra in all parts of this question, showing your working clearly. (a) Solve the…

A:

Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

A:

Q: (EP)* = P*E*

A:

Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Solution

Q: X 5. Use a graphing calculator to determine the linear, quadratic, or exponential equation that best…

A: Solution:

Q: (1) Using the fact that you can sort a 5-long array of numbers with 7 comparisons, describe an…

A: Given: 5 long array of numbers with 7 comparisons. An algorithm that can sort 7 long array with 13…

Q: Question 9 101 v-1 s an elgenvector of the matrix A- 0 11 correspondng to the elgenvalue A- 110

A: The solution is given as

Q: List the solution: xi = x2 = %3D O x3 = T3 is not needed O x4 = %3D C4 is not needed

A: claim- find the maximum value of f and the set of variables that gives this maximum value.

Q: Question 10 Consider teh following equation: 2x + 4xy + 5y-7 The matrix correponding to this…

A:

Q: onsider the following three matrices 1 0 0 (1 0 C = 0 0 1 0 1 0 0 0 1 0, 0. 0 0 1 1 A = 0 0 B =0 1 2…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: where did you get the 657? the given was 675.

A: Solution

Q: Consider the SIR model with the square root dynamics ds A- uS – BVSI, dt IP dt dR BVSI - (u+7)I, I-…

A: We will use the basic knowledge of ordinary differential calculus for linear homogenous ordinary…

Q: Select all the real numbers Mamong the choices below such that the two planes given by and r. 2 - M…

A: We can calculate using the given information

Q: It is the a theorem useful in bracketing method, define as Let f (x) be continuous function defined…

A: We have to determine the name of theorem of the following statement ; " Let f(x) be a continuous…

Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…

A:

Q: i) find the relative extrema of ?; (ii) determine the values of ? at which the relative extrema…

A: Since 25-x2 is defined -5≤x≤5, the domain of the given function is -5≤x≤5. Substitute fx=0 in the…

Q: Evaluate the integral (2.x - y)dA, where D is the region in the first quadrant enclosed by the lines…

A:

Q: Calculate the circulation of the field F around the closed curve C. F = (-x - y) i + (x + y) j ,…

A:

Q: ) Let S be the surface given by the equation y? = 9+ xz. Find the point(s) on S that are closest to…

A: We have to find the shortest distance from the point to the plane. We will write the formula for the…

Q: 28. Bounded by the planes z = x, y = x, x + y = 2, and z

A: Solution:-

Q: 9. A sports mortgage is an innovative way to finance cash-strapped sports programs by allowing fans…

A: Locked in price period (n)= 50 year Mortgage fee (F)= $130000 Interest rate (r) = 8%

Q: Solve the system of differential equations x' - 95x + 36y y' = – 264x + 100y 2(0) 3D — 6, у(0) — —…

A:

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: The three dimensional surface is represented by the equation f(x, y, z)=0. If the graph of f(x, y,…

Q: I need detailed solution of last step

A:

Q: Find for f'(x) | f(x) = x – cos(x) f(x) = e* – 2x - 2

A: To find f'(x).

Q: Let lį be the line described by the Cartesian equations • x = 1 • y-5 = 2(z-4) Let l2 be the line…

A: To find the distance between two lines we need to find general point on the two lines and then the…

Q: 2. In each of the following, find fyzz, fæyæ, fryz. 2. f(x, y, z) = ln(xyz) + z² tan-'(e=")

A:

Q: y'+2xy=2x^3, y(0)=1, y(2) using h=0.2

A: As per the question we are give the following first order differential equation : y'+2xy=2x3 With…

Q: Find the Fourier series

A: Given,          f(x)=1if -π≤x<0-1if 0≤x<π

Q: (a) Let p EN be a prime number, p # 5, and let n E N. Determine the number of solutions to the…

A: First we shall show that a solution doesn't exists for all primes. For p=11 there is only one…

Q: ii) 2yt'dy + 3y°®dt = 0

A:

Q: f(1) =-cos" (21)+ e² 2 - cos° e

A:

Q: what happened to the (7(s+1)e^-s)/s^2? why is the answer just (7e^-s)/s

A:

Q: Question 6 Consider the endomorphisms deifnined on p 3 by Tx,y,z) = (7x+2y+z, 3y-z, -3x+ 4y-2z):…

A:

Q: Find the definite integral o tan(x)dx using strips of width for the trapezium rule correct to three…

A:

Q: Use CoordinateTransformData to find the Cartesian coordinates of r 2, 0 = 30°, = 15°.Check your…

A:

Q: Find the Fourier series expansion of: So, sin nr, 0<r< 1 0. f(r) = and then use it to find the…

A:

Q: Compare the Trapezoidal rule and Simpson's rule app 4 x sin x dx

A: Given: An integral ∫0π4xsinx dx. To find: Bound for the error using the formula for each rule and…

Q: Calculate the flow/line integral in the field F along the path C. F = (x - y) i - (x2+y 2) j; C is…

A: