Maximize B = 4xy, where x and y are positive numbers such that x+ y 3. The maximum value of B is (Simplify your answer. Type an exact answer, using radicals as needed.)

Q: For the following function, (a) plot the graph of f(x), (b) write an integral that would be used to ...

A: The arc length, L, of the function: y=f(x) in the interval: a, b is calculated using the formula: L=...

Q: The curve C is the circle of radius 5 contained in the plane z 5 and centered around the z-axis, ori...

A:

Q: For Exercises 7 through 12, determine whether the distribution represents a probability distribution...

A:

Q: Find the area of R = {(x,y) € R² : x € [-1,2], y e [x²,x+2]} integrating first along horizontal dire...

A: Area under the curve can be obtained using the double integral  The integartion according to horizon...

Q: the following dineor sytam of linear matiz faderiation lwe egs using 2x. + X4

A:

Q: The function is xn+1 = 1+0.7xn

A: This is a problem of the dynamical model.

Q: 1.44 -0.36 5.52 0.00 0.04 -0.36 10.33 -7.78 0.00 -2.15 A : b = 5.52 -7.78 28.40 9.00 0.00 0.00 9.00 ...

A:

Q: 1 5. If the Laplace transform of f(t) = e %3D find F(4s)

A: Given that the Laplace transformation of f(t) = e^(1/s)/s. We have to find F(4s).

Q: (i) Deduce that the difference in the number of integers in the numerator and denominator of (* 2N N...

A: Properties of floor functions will be used.

Q: 1. Evaluate the integral ab- a + b à) + a(b a)-2(à ab - bla dt in which a, b are the derivatives of ...

A:

Q: Evaluate dx

A: To find- Evaluate ∫01x2 ln1x3dx      Formula Used-  ∫ u v dx = u ∫v dx - ∫ddxu ∫v dxdx

Q: PROBLEM: lim CSch 2 ATTEMPT: CSch csch x In %3D Ix1 _csch x = In I+ (0)= In ! (히 %3D In Ito 4. 101 1...

A:

Q: 7. Produce the quadratic polynomial interpolating the data {(-2, -15), (-1, -8), (0, -3)}. Find the ...

A:

Q: 6+ -0 -3 -4 The plot above is created with the parametric equations S¤(t) = a cos(bt) l y(t) = c sin...

A:

Q: The arc length re-parameterization of the line l: F(t) = (1,1, 1) + t(1,2, 3) with 0 <t < 1 is given...

A: This is a problem of curve parametrization.

Q: 1 dæ = -2 In |1 – Væ| +c I Tæ(1– væ) -

A: Note: It is assumed that the question is asking to test the validity of the given equation.   We kno...

Q: If z = x2 + y?, x = e' cos(s) and y = e' sin(s), then %3D dz at (t, s) = (1,0) is as %3D

A: Given that z=x2+y2, x=etcoss and y=etsins First we have to find ∂z∂s.

Q: Find at (2, -2, 1) if dy x2 + y? + 22 = 6xz + 6yz + 21 %3D

A: Given that x2+y2+z2=6xz+6yz+21 Then we have to find ∂z∂y

Q: 2y 2 Given that 7* ×49' = 1 and 5x x125 3 1 calculate the value of x and of y. 25

A:

Q: 1 dx = arcsec(x – 3) + c - (х — 3) Vx? — 6х + 8 6x + 8 -

A:

Q: Laplace Transformation

A:

Q: Determine the Laplace transforms of these functions: (a) f(t) = (t – 4)u(t – 2) %3D (b) g(1) = 2e-u(...

A:

Q: Solve & Discuss It! Gabrielle wants to cover the floors of a room and a hallway in her dollhouse. Sh...

A: Given:

Q: X + 2Y = 0 (a) 2X + 3Y = 1

A:

Q: If 2x3+3ycos(xy)+(cx2y2+3xcos(xy))y'=0 is the exact differential equation then c =?

A: The exact differential equation is defined as the differential equation of the form Mx,ydx+Nx,ydy=0,...

Q: Calculate the order of the local truncation error of the Crank-Nicolson method for approximating the...

A: The heat equation given is as follows: ∂u∂t-∂2u∂x2=0 We are asked to find the order of the local tru...

Q: Find the polynomial f(x) for which x.f(x -1) = (x - 3).f(x) for all values of x in Real numbers

A: Consider the equation: x×f(x-1)=(x-3)×f(x) To find the polynomial f(x) satisfying the equation x×f(x...

Q: Find all primes that divide 50!

A: Solution:-

Q: Find the Fourier transform 1-x, | x | 1 sin x Cos X CoS x Hence evaluate dx.

A:

Q: Explain your reasoning clearly for the following. (a) Suppose a pyramid has 100 faces (including the...

A:

Q: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into a ...

A:

Q: rz cos 0 12. Let F(r, 0, z) = rz sin 0 (а) Find F'. (b) Find det(F').

A:

Q: 3. f (t) = e2t cos 5t – 3t3

A: The given function is ft=e2tcos5t-3t3. The Laplace transform formula for eatcosbt is given by leatco...

Q: For f(z) = 2es the value oflog(f(z)) is %3D

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1. An...

Q: . Integrating factors found by inspection 1. y(y – x)dx + x(y³ + x)dy = 0 when y(1) = 0 2. (x³y³ + 1...

A:

Q: Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 -1 %3D 1 -...

A:

Q: The system of linear equations: X1 + x2 + x3 = 6 1 – x2 – X3 = 3 is: Select one: О а. a 2 x 3 system...

A:

Q: Determine the maximum and minimum values ​​of the function f(x, y) = 2 +x+ 3y, in the region  x ≥ 0...

A:

Q: The absolute minimum of

A: Given,             f(x, y)=x2+y2-4y and     D=x, y | y≥0, x2+y2≤9 

Q: may only use methods shown in class. 1.) Use the graph of f(x) below to evaluate the following: b.) ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the directional derivative of f(x, y, z) = xy² + yz° at P(1, –1, 1) in the direction of a = î +...

A: The directional derivative of the function f(x, y, z)  at point P in the direction u Find the gradi...

Q: Round 234 to the nearest ten and hundred.

A: The hundreds place, tens place and unit place of a number can be represented as:

Q: Solve the differential equation y = x – 1+ xy – y.

A:

Q: What would you do in order to solve the following equation 4b=20

A: Given equation is 4b=20. We have to solve the given equation. Divide both sides by 4 and further sim...

Q: -6 -5 -4 The plot above is created with the parametric equations Sx(t) = a cos(bt) ly(t) = c sin(dt)...

A:

Q: Let y : 7(t) = (ť² , t° tangent line to Y at ī(t) is parallel to the vector (1, 3, 8) ,t² ). Select ...

A: Given that                       γ : r¯(t)=t2, t3, t4.

Q: 6. For which positive integers n > 2 can V2 be constructed? Justify your answet

A:

Q: 3. f (t) e2t cos 5t – 3t3 -

A: Note:- 1.   Ltn  =n!sn+1 2.  Lec t cosdt  = s-cs-c2 +d2   Given function is ft = e2t cos5t -3t3

Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

A:

Q: = tan x. bns znoitsailggA yt = cos x, andh(x) n rroblems 43–48, use the figures to evaluate each fun...

A: Given (43) fx=sinx, gx=cosx, hx=tanx and given figure is (49) sinπ2+θ=cosθ