Assume that u E W%3 (R"). What is the largest q such that we can guarantee that u E Lº (Rº). O 30 7 О 30 O 3 15 2 60

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Distance = 4.41

Q: Q2) Find all the local maxima, local minima, and saddle points of the function: f(x, y) = x2 + xy + ...

A: Let us consider the function f(x ,y), to determine the local maxima, minima and saddle point  Find ...

Q: 1. Determine for y(s) if y(0)=3, y'(0)=-2 and y"(0)=7 dy dy dy +5 + 6- =D0 dt dt3 dt2

A: We have given differential equation, d3ydt3 + 5d2ydt2 + 6dydt = 0  It's Auxiliary equation is given ...

Q: [X - y1 Let T: R3 → R3 be a linear operator defined by. T| -z 2z a) Show that T is a linear transfor...

A: (a) Given T:R3→R3 be a linear operator defined by Txyz =x-y-z2z we have to show that T is a linear t...

Q: Combine the methods of row reduction and cofactor expansion to compute the determinant. - 1 - 5 - 4 ...

A:

Q: Find the augmented matrix of the system of equation. 2x – 14y + 9z = 47 -3x + 24y = - 52 2x -13z = 2...

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: how to find the M1,M2,M3,M4,M5,.....m1,m2,m3,...  CAN YOU EXPLAIN IT? I ALREADY CIRCLE IT

A: Here Mi are maximum values and mi are minimum values:

Q: dy Find dx by implicit differentiation. = 4 + In (x + y) , y -x Select the correct choice below and ...

A: If f(x, y) is a function and where x, y are two variable and x is independent variable and y is the ...

Q: %3D - What is the principle part forf(z) = zez at its essential singular point.

A:

Q: What is the Laplace transform of f(t) = (t^2)sinh(8t). %3D O (1024 + 48s^2)/(s^2 + 64)^3 O (1024 - 4...

A:

Q: Apply Gauss- seidal method to sulve the fotlowing fottowing Lineor Lineur equations 5 X-2 Xz -2X1+lo...

A: Let x1 = a, x2 = b, x3 = c So given equations are5a - 2b = 18-2a + 10b - 2c = -60-2b + 15c = 128

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A:

Q: ELEMENTARY APPLICATIONS OF DIFFERENTIAL EQUATION (DILLUTE AND MIXTURE) Lake Taal has a volume of 45...

A:

Q: 7- The function f(z) = z is: a) Analytic on C b) Analytic only at zo = 0 c) Not analytic

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: The vector that passes through the points: Ax1, y1, z1 and Bx2, y2, z2 is defined as AB→=x2-x1i+y2-y...

Q: a) ] Let W = span{(1, 1,0), (1,0, 1), (2, 1, 1), (0, 1, –1)}. i. Is (9,0,9) in W? Justify your answe...

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

Q: Use substitution technique (Vp+qx + x² = z – x) to show that dx 1 Vr2 + x + 2 +x – /2 - In Vx² + x +...

A: see the attachments

Q: 1. Vocabulary Describe the relative locations of the rational numbers -(-) and on a number line. Les...

A: Here,      -(-a/b) = a/b   [negation of negation is positive]

Q: DO NOT include spaces in between characters. x² - 4 ifx<2 Determine f#(2) if f(x)={2-x if 2<x<4. x-2...

A: We want to find f+'(2)

Q: Find an equation of the plane.

A: Given, the plane that passes through the line point (1, -1, 1) and contains the line with symmetric ...

Q: The circle with the equation x' + y= 16 is rotated about the x axis to form a sphere with a radius o...

A: Volume is the amount of space occupied by a closed surface. In this case, a circle with a radius of ...

Q: 1. Find the value of ø(0) for a solution ø(x) to the initial value problem: 6y" + y' – 2y = 0; y(1) ...

A:

Q: 1. . :) Determine the series solution to u' – tu = -ť², up to t.

A:

Q: -31 2: -6 -2 Find the eigenvalues and eigenvectors ofA = 特後值 -2

A:

Q: There are 1,050 seniors in the class. 483 seniors want to go to a basketball game What percentage of...

A:

Q: Ex.9. An ellipsoid y2, z2 = 1 is surrounded by a luminous a? b2 ring x = 0, y2 + z² = a². Show that ...

A:

Q: that to Sulve the fullowig Apply Jucobis equatisns me =4-5 yu=1-6 - 4 +37

A:

Q: Use Newton-Raphson Method to determine the root for the equation: S(z) = - tolerance is 0.00001. 4z ...

A: Follow the steps below to obtain the real root of the equation: f(x)=0 using Newton-Raphson method: ...

Q: Problem 2. Let z = a+ bi be a Gaussian prime and a, b > 0 positive integers. Show that its norm N(2)...

A: N(z) = a2 + b2. Now if possible, let N(z) be not prime.  Then, there is an integer, say r such that ...

Q: • TT /2 2 cos x dx 1+ (sin x)² п/2 dx V-x² + 4x – 3 2

A: d) ∫-π2π2  2cosx dx1+ (sinx)2Let sinx = t∫-11 2dt1+t2 = 2  [tan-1t]-11 = 2 [ π4+ π4]= π

Q: 8. 2n Σ en3 n=1

A:

Q: Apply Gauss-Seidal method to sulve the fotlowing Lineur equativns 5 X-2 X z =18 -2XI + lo X2 -2X3=-6...

A:

Q: 2. Determine whether the following series is convergent or divergent: (4n)²n evnn2n n=1

A:

Q: General Instructions: 1.) Represent each compound statements below in logical notations. 2.) Determi...

A:

Q: Find the sum of the series S.

A: Given,         3-3ln(2)+3(ln(2))22!-3(ln(2))33!+ . . .

Q: Use the method of variation of parameters to find a particular solution of the following differentia...

A:

Q: What is the Laplace Transform of f(t)=Dv((1-cos(8t))/2)? O s/(s^2+16) O 4/(s^2+16) O 4/(s^2-16) s/(s...

A:

Q: Consi der the power series DO (2r +3) Σ V2n2 +n - 1 n=1 (a) Determine the interval and radius of con...

A:

Q: 1. In the following weighted voting system example, identify the quota and the weights. [115: 25, 35...

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

Q: . Compute the line integral of E from B(0,0,0) to A(2,1,3) if E = -4xya, – (4y + 2x2)a, + 8zaz. Use ...

A: The line integral of vector field E→ along curve C is ∫C   E→.dr=∫abE→(r→(t).r→'(t)dt  where r(t)→  ...

Q: Consider the region R bounded by the curve y = ln(x), the x− axis and the line x = 5. Determine the ...

A: We will draw the region bounded by given curves and line . and then will find limits for x and y and...

Q: Consider the PDE P(x, y)o*u +et? +Q(x, y)Ou ди du ôxây +e. = 0, where P and Q are polynomials in two...

A:

Q: Examples: 1.) A curve wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendic...

A:

Q: Was absent and missed lesson. Confused with this problem. thank you. xy"+y'-y=0 a. show the given di...

A:

Q: Salve the fullowing equations using bisectrion thed me X siAx+CusX= fors] Xost

A:

Q: The union of these two orthogonal bases (put the basis for W and W- into one set) is an orthogonal b...

A: Since you have asked for part (d) and (e) , so i answered here only for part (d) and (e). 

Q: i) Obtain the complete and singular integrals of = px+qy + p°q. -31 ii) Find the Laplace transform o...

A:

Q: . If f is a continuous function from the metric space X to the metric space Y and {xn} is a sequence...

A:

Q: Solve the following initial value problem. y" + 16y = sin 2x; y(0)= 1, y'(0) = 0 %3D The solution is...

A: