your work. 91² - r°, t+ 21°, 1 +t- 9r?

Q: Find the value of a for which 4 1 is in the set 2 H = span -3 4 -2 a =

A:

Q: f (x, y) = 3x2 + y + 4xy? + 8 %3D What is the value of af(z,y) when x = 2 and y = 1? %3D fip

A:

Q: 1-Cosx The value of limx→0 by using series is 1+x-e*

A:

Q: 4444 is divided by a 1.19) find the remainder when 4444 * 2?=-1 (mod a).

A: 1.19 We have 4444  ≡  7 (mod 9). So, 44444444 ≡ 7 4444 (mod 9) Now,       73 ≡1 (mod 9) Or,…

Q: Find the maximum and minimum values of f(x, y) = 4x + y on the ellipse a² + 36y² = 1 %3D maximum…

A:

Q: whathis the chifHfeme betueen Cautinity gnal Vaitamıy Continity?

A: Use definitions to write the difference.

Q: (a) Show that the substitution x = e reduces the equation ax²y" + bxy' + cY = g(x) to an equation…

A:

Q: Using Runge-kutta mdhod of fouth oxden Solve dy with ylo)%=1at 2 +x2 2=0.2,0.4 .

A:

Q: f (t) is of exponential order at infinity.

A:

Q: Solve the following first order equations: (a) (x²y? + 1)dx + 2a²dy = 0, use the substitution ry =…

A:

Q: A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…

A: Given a checker that placed in the bottom row of checkerboard. The checker can move diagonally…

Q: sin(T x/ L) E. tan( x) . x2

A: Periodic, non periodic functions

Q: 5- write the following expression in terms of logs of x,y and z. Y= log 4vx³ y/z*

A:

Q: roe-t sin(v3t) (i) * sin(V3t) dt]

A:

Q: Ikdis a metricon a vector space (Xキ3)。 show that d connot be obtained from a norm.

A:

Q: Find the arc length of y = e* over [0, 1].

A: We have to find the arc length of y=e^x over[0,1]

Q: Find the Lebesgue integral fio.11 f, where f(x) = x. Note: although this can be done by various…

A:

Q: Find the coefficient of x® in (1+ x² + x4 + x®)4.

A:

Q: 2.1.3. If a, b are integers such that a = b (mod p) for every positive prime p, prove that a = b.

A:

Q: B/ Find solution for the homogenous differential equation below: dy x2+y2 dx 2xy ||

A:

Q: (Q)WUse T.Cx) =1 and Ticx)= X, to find TEcks and 万(x)

A:

Q: 15. y" – 10y + 50y = 0, y(0) = -3, y(0) = 1 %3D

A:

Q: Calculate the arc length of y = x² - In(x) over the interval [1, 10e]. %3D (Use decimal notation.…

A:

Q: to de 4

A: For    kx2 - a2  we can use substitution kx = asecθ . Then use trigonometric identity to simplify it…

Q: 1. Norah's bank offers personal loans for one to five years at 7.5% per year, compounded monthly.…

A: The formula we need to use here is n = lnDiDi-Pln1+i

Q: Q4. (a) Show that the substitution r= e' reduces the equation ar'y" + bry' + cy = g(x) to an…

A:

Q: -6 - 5 X = X2 メ5 2. -4 2. %3D %3D -3 3. X2 = 02 X3=0 %3D %3D How did you get the output I need step…

A:

Q: (Round off tc tons/yd² to pounds per square inch = ace)

A:

Q: Given the function f(x) = cos(x) - sin(x) defined on the interval [0.0, Tt/2]. The angle is in…

A:

Q: Solve the following first order equations: (c) ydr = (ye" – 2x)dy. %3D

A:

Q: In the inductive step, we assume that for any k > 10 , P(j) is true for any 8 <js (k-2) and we will…

A: The proof by mathematical induction consists of two steps: The proof consists of two steps: The…

Q: Determine the present value P you must invest to have the future value A at simple interest rate r…

A:

Q: 1)What is the numerical result of n! a) (n – 3)! = n(n – 1)(n –- 2) %3D | " ()-() - (3) 25 %3D 6. 10…

A:

Q: Use Euler's method to solve ordinary differential equation an dy 4e0.8x – 0.5y from x= 0 to 4 with a…

A:

Q: This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese…

A:

Q: Homework: Q)*Solve the following set of equations using: a) Direct method (Gauss elimination method)…

A:

Q: 1.al If 123x 78425167 is a muitiple of 1l, tind x.

A:

Q: (BOunded st) show that a subset M in a nor med space Xis bounded if and only If there is a positive…

A:

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

A:

Q: B/ Find solution for the homogenous differential equation below: dy x² +y² dx 2хy

A: Given differential equation is dydx = x2+y22xy

Q: Si6-X2 dy dx q +x?+y

A:

Q: Solve the system of equations +4x2 +2x3 +3x5 -4x6 -4 %3D -x4 +2x5 -2x6 -5xs +6х6 8 +4x2 %3D 14 -11…

A:

Q: the following questions for the function, p(x)=3x / x2−1. A) Is the point (0,0) on t

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Consider the function f(x) graphed below. For this function, are the following nonzero quantities…

A:

Q: Determine the surface area of f(x,y) = 2+ (2/3)x^(3/2) + (2/3)y^(3/2) over the region R, a triangle…

A: If we look x varies from 0 to 2  y varies from 0 to 2

Q: 3.45. Find all solutions to the following equations: (a) Log(z) = (e) cos(z) = 0 (b) Log(z) = i Злі…

A:

Q: 1- Let (R,+,) be aring which has property that a=a, UaER.prove that R is Commutabive ring (Every…

A:

Q: Braydon can afford to pay approximately 1400 per month on his mortgage. Determine his payment amount…

A: Monthly payment = $ 1400

Q: Let A and B be nonempty sets. Prove the following statements. (a) For any function f:A→A, if f◦f is…

A: (a) Let z be an element of A. Since fof is onto there is an element x in A such that fof(x)=z.…

Q: Let R be the rot ation ņ around the x-axis couuter clock wise in the posi tively oriented ON System…

A: The solution is below.