If ||v|| = 6 and ||w|| = 4: What is the smallest possible value of ||v What is the largest possible value of ||v – w||? w||? What is the smallest possible value of v · w? What is the largest possible value of v - w?

Q: 3. LetR be the region shown in the accompanying figure. Fill in the missing limits of integration.…

A: The equation of the straight line between the points x0, y0, x1, y1 is y-y0=y1-y0x1-x0x-x0.…

Q: ... 4 B = (-1,4) A A = (1,0.25) %3D -4 -3 -2 -1 2 3 4 5 A y= - 4× y=4-x O f(x) =| D y=4•1*

A: We want to find the equation of given curve.

Q: → M2x2 be the linear transformation defined by C T(ax? + bx + c) = ne matrix for T with respect to…

A:

Q: Using the method of undetermined coefficients, find the particular solution of the following initial…

A: The given initial value problems  a)y''+4y'+4y=2te-2t, y(0)=1, y'(0)=-3 b)y'''-y'-y=0, y(0)=0,…

Q: A fair die is rolled four times. What is the probability of obtaining no 2​'s?

A: Given a fair die rolled four times.

Q: Label each statement True or False. Not all circles are similar. There is only one transformation…

A: Below given clear answer

Q: For the given matrices, verify directly that (RS)*=S*R* and (EP)*=P*E* 3- 2i 2 + 3i 1-i II. E = P =…

A:

Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5 5 5 -5+ -5+

A:

Q: 2. Given that cos pv o v+B? 2B (a) Find the Fourier transform of x+b? (b) Use the result from (a) to…

A: Sol

Q: Solve the problems below: 1. Find the positive real root of f(x) = x* - 8x²-35x + 450 x - 1001 using…

A:

Q: The slope of the surface z ry in the r-direction at the point (2,3) is. slope of this surface in the…

A: The slope of the surface z=xy2 in the x direction at the point (2,3) is =∂Z∂x2,3 . Now ∂z∂x = y2.…

Q: Use false position methodto find the solution to the following within 10−6

A:

Q: 4. The equation f (t) = models the bacterial count, in thousands, for a sample collected from pond…

A: Given that,The equation f(t)=7tt2+5t+4 models the bacterial count, in thousands,for a sample…

Q: 4. Evaluate the iterated integral: dydr.

A: To Evaluate:∫141∫x2xxydydx

Q: Question no. 1 Find the possible flows in each of the following networks of pipes. 600 500 X4 600…

A:

Q: Bossing bought two bags, one for P700,000 and the other for P300,000. He sold the first at a gain of…

A: Given that Bossing bought two bags, one for P700,000 and the other for P300,000. He sold the first…

Q: 6. f(t) = 5cosh(3t)-sinh(4t) %3D

A: 1) L{af(t)±bg(t)}=aL{f(t)±bL{g(t)}2) L{cosh(at)}=ss2-a23)L{sinh(at)}=as2-a2

Q: The half Tunctión of the Fast Fourier transform algorithm is given by: F(u) = [F.n (1) - Fta (1)]…

A: Solution

Q: S = 5 and s7+1 14s, +1 for n21. %3D %3D

A:

Q: NOTE: Round your answer to two decimal places when needed. r(t) = cos(nt)i – In(t)j+ vt – 12k; to =…

A: Given r(t) = cos(πt)i - ln(t)j + t-12k

Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.9 m. Find the work…

A: 1st we will find work done to empty a horizontal slice of water , Then integrate it to find total…

Q: a) ir(A - 1)1- ( -2) %3D Find the matrix A

A:

Q: Differentiate Numerical Methods and Analytical Methods

A: Sol

Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x +y Subject to: 2x + y56…

A:

Q: 4 Solve y" – y" – y' + y = 2e¬t + te' + 3 by using both the method of undetermined coefficients and…

A:

Q: A function y = f(x) and an x-value xo are given. f(x) = x + Vr; xo = 1 (a) Find a formula for the…

A:

Q: Determine the exponential function given the graph. A y (0, –1) (-1, –5) F(x) = (5) " A - 2 B f(x) =…

A:

Q: Q1) Write True or False for the following: 1. To optimize the profit for a certain company we…

A:

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: Integration using Greens theorem

Q: A fair die is rolled three times. What is the probability of obtaining at least two 5​'s?

A: Given a fair die rolled three times.

Q: a. Use the formula for general solution to solve the following equation b. Check for your answer.…

A: The solution is given as

Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x + y Subject to: 2x +…

A:

Q: اسخدملط Find the akeaf fakthie fallowingregions: Area enclesed by thediagram. V= sin 3 to

A: Given polar curve isr=sin3θThe area enclosed by the polar curve is determined as shown below.

Q: Q3/ Find the area of zone bounded by curves: y= x? y= 3x+8

A: The given curves are; y=x2, y=3x+8 Now find the point of intersection between the given curves.…

Q: min flx,,x) = (x, - 1)*+ (n,- 1)² Subrected to 」+Z2コ4 X,ーュ-2 き6 Hint : Convert to standard fom and…

A:

Q: f circle, x2 + y2 = S.

A:

Q: 1. pv(~ рӨq) P ( ~p q) V F F 2

A: The logical symbol "∨" is used to denote "OR". The logical symbol "⊕" is used to denote "XOR". The…

Q: 24. The following data resulted from a stress-strain experiment where a given strain was applied and…

A: Sol

Q: (x² + 2x + y) dx + 2dy = 0

A:

Q: f(t) = e-4(t-cos(t))

A: We will use laplace transformation properties and table to find value of laplace transformation and…

Q: 1. Let f : Z6 → Z6 be such that f(7) = x² + 3. %3D (a) Is f a well defined function? (b) Is f…

A:

Q: Find the value of X and Y in given that; 1 - 2y 4 7 2 2 - 2x 4 - 5 I3D 3. 2.

A:

Q: Show that COS x dx a² – x² sin a 2а where a is some positive number.

A:

Q: v(t) = cos(2t)

A:

Q: 3.) Find the area bounded by the curve y? = 2x and y =x-4 a.) Using Vertical strips b.) Using…

A: Given: The equation of the curve y2=2x andy=x-4. to find the area bounded by the curve using…

Q: f(x) = - and g(x) = find (f o g)(3) and (g o f)(3) %3D x+1 X-

A:

Q: ) Find the image of p(t) = 2 – t+ t? ) Show that T is a linear transformation. :) Find the matrix…

A:

Q: sin x – e-* = 0, [0,1]

A: Sol

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: Sol

Q: B. Find the value of x and y given that; - 5 S = 2 x 3 1 6 (a) R = 3R + S = 4 2 y -1 8 1.

A: