If X is finite dimensional hor med space o T: X-Dy is a Linear operator from X to normed space y. show that T is continue

Q: Q2\ Evaluate : fot√x dx

A: The given integral is ∫cot2xxdx use the identity  cosec2x-cot2x=1 cosec2x-1=cot2x therefore the…

Q: What is angle XWZ

A: A round quarter, additionally called a circle quarter or a disc quarter, is a segment of a disc…

Q: nny is observing a rocket that is

A: Given that Benny is observing a rocket that is being launched from a distance of 5km. From his point…

Q: wave equation

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Q: a. Solve the initial value problem (x² - 1)y" + 4xy' + 2y = y(0) = -1, y'(0) = -5, given that 1 1 Yı…

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Q: Solve the following by using In

A: 5. (i) Given,              s2s4-1

Q: egral of the c 8v

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Q: · ds, where y²+² and S is the

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Q: Determine if the relation R on the set of all integers is reflexive, symmetric, or transitive, where…

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Q: Q4 Calculate the integral Se²y-2x (y + 2x)³ da Where R is the region formed by joining the vertices…

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Q: Problem 94. Let T be a self-adjoint operator on a Hilbert space H. Show that its norm is given by…

A: Given T is self adjoint operator on a Hilbert space H.

Q: н-ду +1д=

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Q: Find the half-range sine series for the function f(t) = nt-t², in the interval 0<t<n.

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Q: If Z is integers ring, then each non zero element in a proper ideal of Z is......... O (i)…

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Q: is poured into the tank a te of 2 liters/min. Let y(t ial model for (t) and gol

A: The figure as,

Q: Find f'(x). -2 f(x) = (x³ + 1)-² f'(x) =

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Q: ! (9) Let K be integer ring module 12 and let I-([4]) and J-([6]) be ideals of K. Then ([0]) (i) I +…

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Q: The graph G is a planar connected graph. It has 22 edges, and 15 vertices. How many faces does G…

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Q: n: n(10P₂) = 10 C8.

A: Explanation of the answer is as follows

Q: For the values 2, 4, 6 thee variance is 1.66 2.77 2.11 O 1.33 O 2.66

A: We have to find the variance from the given data.

Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: (1) Let I be ideal and a does not exist in I, then I is a subset of (a, I). T O F

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Q: Let K be integer ring module 12 and let 1=([4]) and J=([6]) be ideals of K. Then ([0])

A: We have given a integer ring module 12 which have given two ideals I and J  so first we find the…

Q: Exercise 4.22. Suppose K is a continuous function on R that is zero for all 02. Assume f |K(0)| d0 =…

A: Given: K is a continuous function To find: Solution

Q: In Numerical differentiation, explain and solve a sum using Newton's forward method clearly with…

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Q: The particular integral of the difference equation Yn+3 - 6yn+2 + 12Yn+1-8yn = 3h is

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Q: 2) How many elements are in the union of 5 sets if the sets contain 10,000 elements, each pair of…

A: Given that there are 5 sets and sets contains 10,000 elements, each pair of sets has 1000 elements,…

Q: partial differential equation

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Q: (8) If F is a field, then it has no proper ideal. От F

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Q: The complete solution of the ordinary differential equation d² y dy + P + qy = 0 is dx² dx - 3x - y…

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Q: Q10. Using Crammer's rule method to solve the following linear system x+y+z=3 2x + 3y + 7z = 0

A: The given system of equation is as follows x+y+z=32x+3y+7z=0x+3y-2z=17 Find Determinant D as follows…

Q: Determine the singular and ordinary points of the given differential equations. Classify each…

A: Note :  Please repost remaining parts as your all parts are not too small.

Q: 3. Find all integer solutions to the pair of congruences (if any) x = 1 (mod 2) x = 2 (mod3) x = 3…

A: To Find: Integer solutions to the pair of congruences(if any) x≡1(mod 2), x≡2(mod 3), x≡3(mod 5)…

Q: = {1,2,3,4,5} and define a relation R on S x S by (a, b)R(c,d) if ad = bc. Show that R is an…

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Q: Determine true or false. are linearly independent. True False 1 2 ··· 2 0 -3 The vectors

A: The given statement is                             The vectors 12-3 , 20-1 , 04-5 are linearly…

Q: . Use the Ratio Test to determine if the following series converges or diverges. n! Σn=1 (2n+1)!

A: Given series is ∑n=1∞n!(2n+1)!   Let  un=n!(2n+1)!

Q: Classify each statement as true or false. If the statement is false, give a counterexample. Part 1…

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Q: Find the optimal solution to the following problem. Minimize f (x1, X2, X3) = x₁² + 2x₂² + 10x3²…

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Q: 14 1 01 5. Find the eigenvalues and eigenvectors the system X'= 0 4 1 1 [X]. lo o Use the…

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Q: 4. In one of the biggest schools in Metro Manila, 80% of their high school students are known to…

A: Given: Hypergeometric Probability Distribution To find: Solution

Q: B)ls w = z²1² analytical function or not?

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Q: xy" + 2y' - xy = sech²(x)

A: Given: xy''+2y'−xy=sech2(y) To find: Solution

Q: The Laplace inverse of 5/(s^4) is: O Non of These O 5^3 Ot*4/5 O 415 51^3/6

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Q: In commutative ring with identity each proper ideal is contained in prime ideal. O T OF

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Q: Q4/(A)Find the derivative of f(x, y) = xey + cosxy at the point (2,0) in the direction. дz дz (B)If…

A: Please see the attachment According to the guidelines we are supposed to do one problem...

Q: (c) Continuing from part (b), suppose we can find functions and z so that (uoz)(x, y) is an μ…

A: Note: : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: When the load L is 8.0 m from point C, the tension T in the cable has a magnitude of 9.6 kN. Express…

A: Please see the attachment

Q: oes the line segment from (0,0) to (a,0) subtend th

A: The objective is to find at what point on the line y=b does the line segment from (0,0) to (a,0)…

Q: Let g C[0, 1] be a fixed function. Consider the operator A = B(C[0, 1]) defined by (Au) (s) :=…

A: Compact Operator: A compact operator is a linear operator A:X→Y where X, Y are normed vector spaces…

Q: Find the angle between the two vectors A = i +j+k and B = 2i+j-k

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