Task 24 Proof the Poincaré-inequality in the n-dimensional case.

Q: Solve y'=14xy−2x, y(0)=5 y(x) =

A:

Q: The solution of the differential equation (x³ + 3xy?)dx+ (y³+3x²y)dy=D0 is

A:

Q: The sum o p? represents which of the following. Choose all that apply. Note that the answer options ...

A: Solution

Q: Estimate f(2.98, –1.99) given that f(3, –2) = 2, f«(3, –2) -3 and fy(3, –2) = -4. = f(2.98, –1.99)

A:

Q: 1. Find the length of arc of the curve y = from the point where x = 0 to the point where x = 2.

A: The formula for arc length is ∫ab1+dydx2dx. Here a is the starting point and b is the endpoint. Comp...

Q: Find the inverse of the following matrices: 1) (2 3 -2) A = |1 4 1 2 1 -3

A:

Q: 2x2 + 2y? and Find the center of mass of the solid S bounded by the paraboloid z = the plane z = 12....

A:

Q: Graph of f . The graph of the function f is shown in the figure above. Which of the following could ...

A:

Q: In error analysis, magnitude of error can be negative or positive. O True O False

A:

Q: How many 5 digit numbers can be written with the digits {1, 2, 3, 4, 5, 6, 7, 8} if they must be inc...

A: 8 digits are given out of which 5 digits are to be selected with the condition that no digit should ...

Q: The solution of the differential equation (x³ + 3xy?)dx+ (y³+3x²y)dy=D0 is

A:

Q: Sdulions © ty ze?u

A:

Q: e through C x sin-

A:

Q: Use technology to maximize the following: Maximize f = 3xı + 5x2 + 8x3 subject to Xi + 3x2 + 4x3 0,...

A:

Q: Evaluate the integral f 2x (x² + 6)° dx using the substitution u = x2 + 6. | 20(x² + 6)* dzx +C

A: In this question, the concept of Integration is applied. Integration Integration is a method of brin...

Q: 9 2/5 as an improper fraction

A: Given,            925

Q: (b) The Maclaurin series of sinx is given by sin x=| 1! 3! 5! 7! Use the above expansion to check if...

A:

Q: Let (M, d) be a compact metric space. Show that closed subsets of M are compact.

A:

Q: Evaluate the following limits. х* + 3х + 2 lim, 'x-1 v2 x² + 4x +3 a. x² – 2x lim, „2' Vx² +5- 3 b.

A:

Q: = 140 – 16t2, where t An object dropped from a height of 140 feet will fall according to the equatio...

A:

Q: Task 18 Let (X, || - ||) be a Banach space, J CR be bounded and F C C'(J,X). If sup ||f(x)|| < o, ƒ€...

A:

Q: In an experiment, a test tube containing a chemical is immersed in a water bath. At 1 = 0, the tempe...

A:

Q: What is the general ratio of round off error to that of truncation error? O 2:1 О 1:1 O 1:2 O 2:2

A:

Q: Lemma 2.56 Let (X,T) be a topological space, (M, d) be a complete metric space and ВС (Х, М) :%3D {f...

A:

Q: (a) Applying the Kirchhoff's second law, show that the system of differential equa- tions is dle L- ...

A:

Q: TASK 24 Proof the Poincar´e-inequality in the n-dimensional case.

A: 1) Let's assume that u is non-zero, then &lt;u, u&gt; is also non-zero and let's define a = &lt;u, v...

Q: 3. Five pieces of rolled paper, numbered 1, 2, 3, 4, and 5 are place in the box. If you pick one and...

A:

Q: Introduce slack variables as necessary, then write the initial simplex tableau for the following lin...

A:

Q: Find the solution of the equation e^x + 2^-x + 2 cos x = 6 using Newton Raphson method with an error...

A: Newton-Raphson method uses the formula: xn+1=xn-g(xn)g'(xn) to perform the iterations and to approxi...

Q: 6. Find all incongruent solutions to each congruence. Show your steps. (a) 135x = 108 (mod 612) (b) ...

A:

Q: L{(e' + 1) H (t –= 2)} O p 2s o(二+}) O None of these

A:

Q: Solve the Bessel Equation y''+ty'+ty=0

A:

Q: 5. Consider the surface S described by S = x + y = (5-z)*,0szs5). Parameterize S via the vector r(u,...

A: To parameterize the below surface S. S=x2+y2=5−z2, 0≤z≤5

Q: 9. (1+iv3). 10.

A:

Q: What is the minimum number of links L of an undirected network of N nodes? Select one: O a. 0 O b. N...

A: Graph theory

Q: (1 +iv3). 1/3 1/4

A:

Q: State the property used (Commutative Property, Associative Property, Distributive property, Inverse ...

A: We have to state the property used in the given expressions. First we will tell the meaning of each ...

Q: Given r(t) = (sin t – t cos t)i + (cos t + t sin t)j + tk , find the unit binormal vector and torsio...

A:

Q: Given the points T(6, 2, – 3), R(– 1, 4, – 2) and S(2,5, 1). Find the unit vector directed from T to...

A: Please find attachment for the details solution

Q: The Maclaurin series of sinx is given by sinx = 1! +.... 7! - 3! 5! Use the above expansion to check...

A:

Q: A money market mutual fund purchased $1.02 million face value of Honda Canada Finance Inc. 90-day co...

A: To determine the price that was paid if the paper was discounted at 2.12%.

Q: (3) The natural logarithm of square matrix X can be defined as In X = c, (X – I) + c2(X – 1)2 + c3 (...

A: Please find the solution in next step

Q: Transçorm the complex number into its tectangulan and exponential form.

A: We use transformation formula to write it in exponential form. The given complex number is already i...

Q: olving the determine blue in the same way of the determine gree

A: To determine: u8n−4=u8n−6+u8n−8+u8n−6⋅u8n−10u8n−8−u8n−10

Q: 3. Find the domain or range of the following functions f(x) =x -|x| Find the range. f(x) =. 2-x Find...

A:

Q: Let g(2) = cos(z) - 1+. Find the multiplicity of the zero z = 0 of g by (a) repeated differentiation...

A:

Q: I Solve the fllowing FODF 2y(x+y+2) dx + (y²-x²_ 4x-1)dy = o when x=2,y= 3

A:

Q: One method to obtain an approximate solution is to plot the function and determine where it crosses ...

A: True  is correct ans   

Q: Using differentiation fomulas, write the derivative with respect to x of the following. Find the sum...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Find all relations from S= {1,2} to T = {4,5} Find all functions from R = {2,3} to S = {4,5}.

A: