Show that the vectors (1, 1, 1), (1, 2, 3) and (3, 3, 4) are linearly independent?

Q: The population of a country has been decreasing for several decades. In 1990, the population was abo...

A: The population has decreased to 151 million from 154 million.  So, that is a decrease of (154 - 151)...

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C. T...

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first questi...

Q: Evaluate: 2

A: Complex number, value Using De Moiver's theorem.

Q: Prove that the additive and multiplicative identity in R are unique note that R is a set of real num...

A:

Q: f Ct) 2 (3t-5) e 4t f(t) = 2Ct-4)"

A:

Q: Prove that the additive and multiplicative inverses of each nonzero elements in R are unique note th...

A: Additive and multiplicative inverses

Q: Find the inverse of the given matrix, if it exists. 1 -2 1 A = - 2 5 -3 4 -6 ... Find the inverse. S...

A: A matrix is said to have an inverse when the matrix is non singular and a matrix is said to be non s...

Q: Write the sentence in symbolic form. Use v, p, and t as defined below. v: "I will take a vacation." ...

A: v: "I will take a vacation." p: "I get the promotion." t: "I will be transferred."

Q: Given that lim n²(x- 5)" converges by the Ratio test. If x e Z then the numerical n- 00 value of x i...

A: Introduction: The ratio test is also used to test the convergence of a sequence. According to the st...

Q: Find lcm and hcf of 1. 75,85,95,105 2. 105,180 3.140,210,350

A: To find the lcm and hcf of 1 75,85,95,105(2) 105,180(3)140,210,350

Q: Every bounded sequence is convergent. True False O

A: A sequence is of the form an The limit of the sequence is obtained as limn→∞an=L Bounded sequence: A...

Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: 2. Solve y"(t) + 4/(t) + 5y(t) = -2 cosh t

A:

Q: 6. Find the aheolute mininmam and absolute maximum values of f(r) - 3r-4r-36r, -3 <I5 5.

A: Given function is f(x) = 3x4 - 4x3 - 36x2

Q: Goal: To integrate f(x, y, z) : = x over the region B consisting of the points (x, y, z) such that •...

A:

Q: 5. (Induction) We will prove the formula 1.1.1, 1 248 valid for n-1,2,3,.., using induction. (a) Ver...

A:

Q: Use implicit differentiation to find the specified derivative at the given point. Find at the point ...

A: Find the implicit  derivative at point.

Q: 1. Why we need Laplace Transform. Introduce at least 4 relevant applications of Laplace transfrom. F...

A: We have to find the laplace transform .

Q: XCt) = Ct +2)sin Ct -4) xct) = 3(t/4) e 78

A: Some of the properties of Laplace transformation Ltnf(t)=(-1)ndndtnf(t) Laf(t)=aLf(t)Lsinat=as2+a2Lc...

Q: Prove that the cube of any integer in the form 9k or 9k + 1 or 9k + 8 .

A: Let n be some integer then by the Division Algorithm, n = 3p , 3p+1 or 3p+2 for some integer p 

Q: Use the circle graph to answer the question. A library classifies its DVDS into one of the categorie...

A: Total number of DVDs = 1717 Percentage of Foreign DVDs = 6%

Q: Use any test for convergence/divergence to show that the series converges. V12(-1)" 3" (2n + 1) 00 (...

A: This is a problem of series.

Q: Use Stokes' theorem to evaluate the surface integral I of the two-form w = dŋ, with n = (xz+ yz²) dæ...

A: η=(xz+yz2)dx+(sin(y)+z+5x)dy+xyz dzz=13-x2-y2,   z≥9 F→=xz+yz2i+(sin(y)+z+5x)j+xyzk z=9⇒9=13-x2-y2 x...

Q: (c) The velocity of a particle v ms-1 at time t s satisfies the differential equation dv t- = v + t,...

A:

Q: (5) Find all integer solutions to the equation w² + 2x² = 7(y² + 2z²).

A:

Q: to hundrea

A: Introduction: A number system could be a means of expressing numbers through writing. it's a notatio...

Q: our bells toll at interval of 12 minutes,18 minutes ,20 and 25minutes.If they toll together at 10:00...

A: Given that four bells toll at interval of 12 minutes, 18 minutes, 20 and 25 minutes. And they toll t...

Q: Let f(x) = (x - 3)-2. Find all values of c in (2, 5) such that f(5) – f(2) = f'(c)(5 – 2). (Enter yo...

A: Introduction: The mean value property is a very important and advanced property shown by a different...

Q: 1. Consider arranging flags along the length of a flagpole. Rectangular flags come in six different ...

A: We have to find different possible option for different cases 

Q: ɢɪᴠᴇ ᴀᴛ ʟᴇᴀꜱᴛ 3 ᴇxᴀᴍᴘʟᴇꜱ ᴡɪᴛʜ ꜱᴏʟᴜᴛɪᴏɴ ᴏꜰ ᴏʀᴛʜᴏɢᴏɴᴀʟ ᴛʀᴀᴊᴇᴄᴛᴏʀɪᴇꜱ

A:

Q: 4. (Sets) In a survey of 400 people about COVID-19 vaccination, the following information was obtain...

A: Given are three types of vaccine information which is obtained after surveying 400 people. First we ...

Q: Log(2 – 5i) Evaluate:

A: Introduction: The logarithm of a complex number can also be calculated. The obtained result is again...

Q: Determine the odds in favour of rolling the sum of 9 or more, with a standard pair of die. Fill in t...

A:

Q: Show that the following limit ry lim (.v)-(0,0) 22 +y? does not exist.

A: Substitute y=mx, and check by applying limit.

Q: 4. Let u o, where o is the zero vector. Show that there are exactly two unit vectors that is proport...

A: This is a problem of vector algebra.

Q: If x1/2 =(42)1/24 then find the value of x

A:

Q: Given: A = 8 – 2i B = 4e-i C = 5260 1. ABC in POLAR FORM А-С 2. * in EXPONENTIAL FORM B (): 3. C in ...

A:

Q: In order to start a small business, a student takes out a simple interest loan for $5000.00 for 3 mo...

A: Introduction: The formula that gives the amount of interest in the case of simple interest is I=Ptr1...

Q: (r+ simo - coso)dr+r Csino tcoo + co-B

A:

Q: (5) Consider the set T= {(-1)"(1-): n E Z4). (i) Show that 1 is an upper bound for T. (ii) Show that...

A:

Q: Find all the local maxima, local minima, and saddle points of the function. 3 3 f(x,y) = x° - 12xy +...

A:

Q: Test for convergence the series 3 5 1 (i) 1.2·3 2.3·4 ...... 3.4.5

A:

Q: 4. The Taylor series of the function f (x) about x = 0 is given by x4 x6 x8 f(x) = 1 + x² + 2! to 3!...

A: Introduction: Suppose, a function is continuous and differentiable at a certain point in the domain ...

Q: 3n3 + 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity" or ...

A:

Q: 16 (ii) 8. 25 mDAS

A:

Q: A basket contain 450 eggs .If 8% of the eggs are rotten, find the number of good eggs

A: Percent: It is the one hundredth of the whole It is denoted by % a% of P means a100xP Whole of any i...

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How ...

A:

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

A:

Q: Ten national leaders are to be seated at a round table at a summit. If the presidents of the US and ...

A: Given that ten national leaders are to be seated at a round table at a summit. We have to find the c...

Q: Find the solution of the initial value problem y" + 6y' +10y = 0, v5) = 0, y' (5) y(t) || How does t...

A: To obtain the solution of the homogeneous second order differential equation, use quadratic formula ...