3. Show that |ab| < form of Young's inequality ] 01a + Va, b e R. [Hint: this comes from the first 2 0.2

Q: Solve the following inequality graphically in two-dimensional plane:y &lt; – 2

A: We first draw y=-2 line

Q: Solve the following LP problem: max Z 5x, + x, +4x, s/t -, - 5x, + 2x, + 5x, sS 3xL 2. x, + 2x, with…

A: Since the left hand side of the third constraint is not clear, taking it as 1 and solving the LP…

Q: The largest interval for which the IVP : (In(e - e?)) y + y = 1, y(5) = 0 has a unique solution is O…

A: We have to find largest interval for unique solution

Q: 4-The equation x^2+2x-3=O has only one root in the open interval O a. (-2,0). O b. (-1,1). O c.…

A: Thus is a quadratic equation we can find the roots of the equation by solving them

Q: Solve the Ssy stem by graphing. S2x+3y=6 he+ hei-ニsっ What is te soloution set?

A: We have to find the solution set of the given equations when they represents a graph. A solution set…

Q: Let C be the shortest path that connects a to ni and I = S, (coshz – 1)dz. Then %3D O I=-sinh n+…

A:

Q: 1 1. The solution to (x+)+x= is in which of the following 2 4 intervals:

A:

Q: Solve the following inequality graphically in two-dimensional plane:2x – 3y &gt; 6

A:

Q: 2] a) If Á. B = AB cos(0), then show that |A. B| < |A]. |B|.(Cauch-Schwarz inequality).

A: I am solving question 1 if you want second question then repost.

Q: Given a 2 0 and b > 0, let u = a and v = Vab Use the Cauchy-Schwarz inequality to compare the…

A:

Q: If X is uniform in the interval [-3,3] compute X(i.e. E{X}) and o² (i.e.E{(X-X)²}).

A: Given that X ~ U[-3,3] to find mean and variance

Q: Q1. Compute xdx x'+10 using trapezoidal and Simpson's 1/3 rules with the number of points 3 and 5.

A: The given integral is, I=∫01xdxx3+10 Dividing the interval (0,1)  into 2 intervals (for 3 points)…

Q: (+²+ 2) y² - 4 ty=4t, y(0) = 3

A:

Q: (c) Let z1 = 2+ 2i and let 22 =1+i. Prove that the triangle inequality |21 + z2| < |21| + |22|…

A: Left hand side is equal to, z1+z2=2+2i+1+i=3+3i=32+32=32 Right hand side is equal to,…

Q: 1. Find the interval(s) wheref(x) = xe6* is concave down, if such an interval exists.

A:

Q: 4. Prove the Triangle Inequality: If v, weV, then || v + w ||<|| v || + | w || -

A:

Q: 1. Find two positive numbers such that their product is 192 and the sum of the first and thrice the…

A: We have to use the application of derivatives to solve this given problem

Q: So, I heeve this HW problem I'm trying teo solve Prove thent if F(2) E cu eund Mrg C) is consten- en…

A: Prove that fz∈ℂW and Arg f is constant, then f must be a constant function. The function fz is…

Q: Find values a, b, c, d such that the function (x+ 1)³, -2 < r <-1 s(x) = { ar³ + bæ² + cx + d, -1 <…

A:

Q: Q-2: For what values of a, m and b does the function: 3, f(x) = -x² + 3x + a, 0<x <1. (mx + b, 1<x<…

A:

Q: QUESTION The minimum value of n required to approximate xedx by composite Trapezoidal rule with an…

A:

Q: The largest interval for which the IVP: (In(e* – e)) y' + y = 1, y(5) = 0 %3D X-6 has a unique…

A:

Q: If the inequality 1 - <1- sin [æ³y³[ < P ) |z*y*| for all æ and y. Then, find the lìm(z,9)→(0,0) 2…

A: We will use Squeeze theorem in the given problem.

Q: Use the following graph of ) to estimate the solution(s) of Ax) = 0 for osxS6.28. 3.14 471 6 28 -1-…

A: We know the values of f(x) are given in the y axis, so y = f(x). y is the dependent variable and x…

Q: 51. If objects of weights x and wi are suspended from the balance in Figure 14(A), the cross-beam is…

A:

Q: Question 4. Prove that L°[0, 1] C L°[0, 1). Hint: Hölder's inequality

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Q: Find the length of segment NL. N x-8 x- 5 4 K L. 0 4 15 O19 3.

A:

Q: Select all the points through which a unique solution for the DE y'-/5-x-y? is guaranteed by the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 2.2.7. Prove the full triangle inequality: for every x, y E R", | |æ| – |y|| < |x± y| < |æ| + \y]-…

A:

Q: Achilles and the Tortoise are going to race. A runs at 10 ft/sec. while T pokes along at 1 ft/sec. A…

A: find the explanation below

Q: and such that the sum of their squares is as small as possible. Give the sum of the squares.

A: Given problem:- 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such…

Q: 7. Consider the IVP y'=(2x-4)e" with y(5)=0. Verify that y = In(x² – 4x -4) is the solution to the…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: - Use the Exterior Angle Inequality to find an upper and lower bound for LMLK = y. %3D M 70° 50 K L.

A: Given: To Find: The upper and lower bound for ∠MLK=y° using exterior angle inequality

Q: a²x, a?x? Po(x) = 1, p1(x) = 1 + ax, p2(x) = 1 + ax + 2! P3 (x) = 1 + ax + 2! %3D 3! a?? ax? p4 (x)…

A:

Q: For p = (1, 0) and x = (x₁,x2,...,xn) ER", define ||2|p:= - ². |P Show that n jyjx|py|q for x, y…

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Q: 1). If r is not equal to one, show that a + ar + ar^2+ ....+ ar^n= a( r^n+1 -1)/( r-1).2).…

A:

Q: Solve the following inequality graphically in two-dimensional plane:y + 8 ≥ 2x

A: Given:

Q: Prove that Ix I - I y I &lt; Ix - y 1-Hint: Apply the triangle inequality to y and x - y.

A:

Q: Solve the following inequality graphically in two-dimensional plane:3x + 4y ≤ 12

A: We first graph 3x+4y=12 line We make a table for it x 4 0 y 0 3

Q: 4) Fund the interval of x-value on which the Carve is Con Cave up and Con Cave dawn 3 fex) = +x-3X

A:

Q: Solve the following inequality graphically in two-dimensional plane:– 3x + 2y ≥ – 6

A: We first sketch – 3x + 2y = – 6 line We will use a table for this x 0 2 y -3 0

Q: 1 : Determine the manimom and Nalve of the function minimumn x'tyス condition under the *+ 2 7?== 1.

A: To find the absolute maximum and minimum of the function using lagrange multiplier

Q: 1. Find an interval for which the following has an unique solution: (x-2)y"+3y = x, y(3) =2,y'(3) =…

A:

Q: 1. Let x (x,) E l. Find x if 11-- a. x = 2 %3D

A: This is a question of functional analysis in lp space.

Q: 2] a) If A. B = AB cos(0), then show that |A. B| < |A|. |B|.(Cauch-Schwarz inequality).

A:

Q: Let " - y' + 21 = In(t – 1.)the longest interval the solution is sure to exist (0.1).

A: Here is the solution of the given problem.

Q: 5. Find the general solutions to the nonhomogencous, lincar difference cquations. (a) x,12 + X141 –…

A:

Q: Let C be the shortest path that connects n to ni and I = S. (sinhz + 1)dz. Then O I=-sinh n+ Ti(i-1)…

A: Option C true.

Q: The inequality sec x > 1 + (x²/2) holds on (–7/2, 7/2). Use it to find a lower bound for the value…

A:

Q: Solve the following linear independent and Wronskian. 2. Are the functions y, = e* and y2 = x…

A: Here we have to determine whether the given functions are linearly independent.  We have,  y1=ex…