If A is a positive definite matrix and B is positive semi-definite, show that trace (AB) 2 O with equality if and only if B = 0.

Q: Show that (C(X),|| · ||∞,x) is a metric space.

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Q: 2. Change the following IPV4 addresses from dotted- decimal notation to binary notation. [ a. 114.13...

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Q: 1.Sketch the graph of the following conic: 5x^2+9y^2-18y-36=0 Then determine the focal point and ecc...

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Q: Date... Q. Find the Fourier Series o x)--x-X

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Q: Use an appropriate linear approximation to estimate 1/3.99 (Round your answer to three decimal plac...

A: Using an appropriate linear approximation we estimate 1/3.99  

Q: . Let a and b be integers. If 7 | (17a + 256), prove that 7 | (10a + 11b).

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Q: (s-s? – t²)ds + (t + s? +t ?)dt = 0 %3D

A: sds + t dt  + ( s2 + t2)  ( dt - ds)  = 0 Multiplying by   I . F . = 1s2+ t212 (s2 + t2)  ( 2sds + 2...

Q: Explain the significant implications or consequences of the completeness of R

A: Completeness property of R: Every non-empty bounded above subset of real numbers has a least upper b...

Q: 4. Show how to find a vector ẽ = c – Ab that's perpendicular to b and is a linear combination of b a...

A: This is a problem of vector calculus.

Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p = 40 − ...

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Q: 7-17 The Outdoor Furniture Corporation manufactures two products, benches and picnic tables, for use...

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Q: Display a Hilbert-style derivation of ~~P → P.

A: Hilbert - style Deductive Systems:  A Hilbert system, sometimes called Hilbert calculus, Hilbert-sty...

Q: Q:01:Why we study Cylinder and what is its importance in daily life routine.

A: We know that a cylinder is a three-dimensional shape that consists of two parallel circular bases wh...

Q: In answering a question on a multiple-choice test, a student either knows the answer or guesses. Let...

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Q: 2. Find the Laplace Transform of t? cos 2t

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Q: -. Express f(t) in terms of the step function. Simplify your expression. - Solve for the Laplace tra...

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Q: Let a, b, c e R, and consider the plane P with equation in vector form given by x = [a, b, 3] + s[a,...

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Q: -즐 <x<픈 끌 <x<프 Find the Fousier Series od d (x) = x

A: Fourier series of f(x) defined in c,c+2π is given by fx=a02+∑n=1∞an cosnx+∑n=1∞bn sinnxwhereea0=1π∫c...

Q: a sin a + In v ) da + tan adv = 0 COs a

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Q: Question 8 * For a given function f(x), the divided -differences table is given by: S [xo]= -1 S[x]=...

A: To find the required approximation, we will use Newton's Gregory's formula

Q: {}:} 2 1 5. Let H = Span be a subspace of R³. Suppose j = -3 (a) Using the least-squares solution to...

A: Solution:-

Q: Gt) = e2-t U lt-2) L{ Gt} = }00 G4) e st dt %3D e2-t Ult-2) est dt ° e2-t est dt de-t -st) dt 2-t-st...

A: Laplace transferom

Q: nd the Fourier Series od (x) = x %3D

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Q: f (x, y) of a smooth real-valued function f defined on a bounded Consider the graph z subset D of R²...

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Q: e graphs of 23 57 50 sin (-) 14 25 49 50 y= and y = 50 e ve been plotted on the same axes below. 2 2...

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Q: (3, 2) 1- -2 1 2 3 4 Graph of g' 15. The graph of g', the first derivative of the function g, consis...

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Q: Find the value of x5 in 3 decimal places (positive value) using Newton-Raphson Method (5th Iteration...

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Q: a sina f da t tanddv cOs a

A: By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy problems....

Q: () 2p n! (a) (") = 2 (mod p), where k for 0 <k <n. k!(n – k)! (b) (Зр - 1)! 2р2 (mod p3)

A: As per our guidelines we are supposed to answer only fast question. Kindly repost other part in the ...

Q: Determine x so that (4x), (5x+4), (3x^2 -1) will be an arithmetic progression. Show complete solutio...

A: We know that in an arithmetic progression the common difference between two consecutive terms is the...

Q: 5. (2v2 + 4u?v)du + (4uv + 3u)dv 0

A: We have to find the solution of differential equation.

Q: A company is in the business of buying and selling pens. During the year it purchased 1000 pens that...

A: Introduction: The idea of profit and loss is very important in business mathematics. A company makes...

Q: Q1) Answer the questions by true or false 1) If y = In then the derivative of y is = (x2 + 3) * 2x d...

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Q: Write True if the statement is true. If the statement is false, explain briefly why it is so (a) If ...

A: Introduction: A sequence is nothing but a set of functions. The domain of the function is the set of...

Q: Approximate the function values using the (1) first five terms, and (2) first ten terms of the corre...

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Q: Determine the inverse Laplace transform of the following: 5s – 2 F(s): s2(s – 1)(s + 2)

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Q: True or False: "Calvin Butterball is a math major." is a statement? True O False

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Q: Find the length of the given curve: r(t) = (-3t, -3 sint,-3 cos t) where-3 sts 5.

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Q: What does the remainder theorem tell us?

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Q: 3 Q2. Find an approximation to V11 using 4 steps Newton's method.

A: We find an approximation to 111/3 by using 4 steps Newton's method.

Q: Solve te following DE using laplace trancform - 3X ty =e cos2x when ylo) = 0 %1

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Q: Using f (x) = In(3 – 2x), determine the Maclaurin Series expansion and generalize it. Also, give its...

A: Here we can use Maclaurin series of f(x)=ln(1-x) is given by ln1-x=-∑n=1∞ xnn  Interval of convergen...

Q: Let a be increasing in [a, b]. Suppose a sequence of real continuous functions in [a, b] converges p...

A: Given that α in increasing in a,b and a sequence of real continuous function fn in a,b converges poi...

Q: Determine C if u=v=O (20 — 5и + 3)du - (20 + 4и — 6)dи %3D O 27 L- C

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Q: A. Laplace Transform of Elementary Functions. Find the Laplace Transform of the following. 7. (VF -1...

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Q: Math114 Logic and Set Theory Worksheet #2 1. Let U = {1,2,3, 4, 5, ,10} A = {2,4,6,8, 10} B = {3,6,9...

A: Sets and relations

Q: Evaluate the double integral. | 7z (64 + y*) dA; R is the region in the first quadrant enclosed by y...

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Q: Write the general (Cartesian) form of the line that contains the point P=(1,6) and is parallel to th...

A: This is the cartesian geometry and application.

Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by th...

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Q: Graph the image of the figure using the transformation given. 1) roțațion 90° counterclockwise about...

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