Civen tz f(x,y) = J 36-9x=y

Q: Determine the voctor ficld of F. F(x, y) = 12i - 4j

A: We have to draw vector field of given vector.

Q: + 2x - + (1 – y²) - dx²y Show that the equation dx2 dy? 2 + y² < 1, parabolic on the boundary is…

A:

Q: Find the amount necessary to fund the given withdrawals. Semiannual withdrawals of $900 for 7 years;…

A:

Q: Vz - 2 limz→4 Z - 4

A: To find: limz→4z-2z-4.

Q: dz and dy IV. Suppose z is a function of x and y, and tan Vy² + x² = z"eby. Solve for

A: As per policy, we are solving only the first Question, Please post multiple questions separately.…

Q: Show by means of an algebraic proof that (A − B) ∪ (B − A) = (A ∪ B) − (A ∩ B).

A:

Q: Use the method of Lagrange Multipliers to find the maximum and minimumvaluesof x2+y2 subject to the…

A:

Q: A function is defined on R2 as f(x,y) = 2x3 – 6xy + 2xy2 +2. Find any critical / stationary points…

A: Given function  f(x,y)=2x3-6xy+2xy2+2 …………………………(1)  Part-a) i)    Differentiating partially…

Q: Find an equation for the plane tangent to the level surface x² + y² + z = 4 at the point Po(1, 1,…

A:

Q: f Loeig)= by? Iny). por yso Determine the partial der Ivatives df, de , deAPc Ond show that d²f = af…

A: The solution is given as

Q: Prove the converse of the Pythagorean theorem based on this Proof of the Pythagorean Theorem. A…

A: We will use the basic knowledge of triangles and Pythagoras theorem to answer this question for you…

Q: . Using the tables and partial fractions, find the inverse Laplace transform of the following: 7s+5…

A: Solution

Q: Perform the following conversions 185.7510 to binary, octal and hexadecimal

A: The given decimal number is                                    185.7510

Q: For two concentric spheres with radii r = a and r, = b, with a<b, the temperature T(r) of the region…

A: To solve: the boundary value problem: 3T''(r)+2T'(r)=0T(2)=10T(4)=30 where T(r) represents the…

Q: 0 if 0 3 Solve the IVP y" + 5y' + 6y =

A:

Q: (b.) Consider the ordinary differential equation in (t > 0) ty" – (t+1)y' + y =0 Note that Y1(t) =…

A: The given ordinary differential equation is ty''-(t+1)y'+y=0...................(1) Write…

Q: х — у 3. fx, y, г) y? + z? а. f(3, —1, 2) b. с. d. f(2, 2, 100)

A:

Q: 1 1 1 0100 0120 00 0 Let A = Write A as C DC , where D is a diagonal matrix. Hint: You can always…

A: Given : matrix A=1110010001200000 We have to write A as CDC-1, where D is a diagonal matrix.

Q: f(x) = In(x),e = 1 Derivatives Find P:(x) Taylor Series Σ Interval of Convergence (Ratio Test)

A:

Q: QUESTION 3 a) A sunflower grows 12% taller each week. Currently the sunflower is 2 m tall. Chris…

A:

Q: The joint PDF of two continuous random variables X and y is given: S(x, y) = e),x>0, y> 0. Let U =…

A:

Q: Xị f(X) Af(X}) A²f(X) A³f(X) A*F{X) 0.7787 0.0930 0.05 0.8717 0.0177 0.0064 0.1107 0.0036 0.10…

A: Given that fx=12tanx+1 and also the difference table is given. To find f0.07

Q: Draw a graph:

A: Given,              f(x)=e-x22

Q: Find all solutions between -2π and 2π of the equation:  Cos (θ) =  √3 / 2

A: We use the following: If Cos (θ)  = cos(α) [ 0 ≤ α ≤π ]      ...(i) then   θ = 2nπ ± α   ,where n is…

Q: Calculate r1(t)·r2(t)] and dt [r1(t) × r2(t)] first by differentiating dt the product directly and…

A:

Q: e?y cos?x dy y? Ln(sinx) dx ニ。

A:

Q: If f(z) = u + iv is entire and u(x, y) is bounded above, apply Liouville's Theorem to exp(f(z)) to…

A:

Q: Use Newton's Method to approximate the root of x In x = 2 accurate to five decimal places. Begin by…

A:

Q: Find the decimal approximation of V22 to the nearest hundredth without using a calculator. Show all…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: Calculate the power series solution of the differential equation of y'- y=e* up to the five terms.

A:

Q: 7. The cost per computer produced at a factory depends on how many computers the factory produces in…

A: (7) Cost per computer produced by a factory is given by the function; C(n)=1500n2-n+200. where n is…

Q: a. The price of a jumper was reduced in a sale by. The new price was later reduced by . What…

A: Since you have posted multiparts question and we can answer three subparts. So,  answered the first…

Q: Test for an ext remum o f t he functional 1 [2? y² + x? y']dæ, y(0) = 0, y(1) = 1 0.

A:

Q: United Metal, Inc., produces alloys B1 (special brass) and B2 (yellow tombac). B1 contains 50%…

A: We have to find the maximum net profit using the simplex method.

Q: Find the limit, If it exists. Im X--- X+1

A: The limit does not exists We get the limit value as infinity

Q: For the following exercises, determine a definite integral that represents the area. 196.Region…

A: Given: r=3-4cosθ To determine the definite integral that represents the area of the region enclosed…

Q: BohusiSuppose e lwe measure the shadow. of a 2m lons stick to be Om in one and 252m in a city 800 km…

A: Given: Distance between the cities = 800 km. In city 1, the shadow of the stick is 0m long. In city…

Q: Find the eigenvalues and bases for the eigenspaces of A³ for -2 -4 -4 A 2 4 2 -2 -2

A:

Q: %3D MUTM az əz +y= əz X- dv ay TTM UTN

A:

Q: Evaluate the following integrals. (a) / (csc0)(1+ sin² 0 + sin 0 cot² 0) d0 (b) /: (e) / dr VI-2r2 +…

A: Part(a) We need to evaluate ∫csc θ1+sin2θ+sinθ cot2θdθ Consider: ∫csc θ1+sin2θ+sinθ cot2θdθ=∫csc…

Q: [3 4 11 What is element a22 in B* if B = 2 3 2 lo 1 1]

A: The matrix B is given.  We first find the determinant of B and then adjoint of B and find  B-1…

Q: A cellphone manufacturer has developed a profit model that depends on x number of cellphones per…

A:

Q: Solve the followings P. D. dz 0 ду Z. dx? satisfying the boundary

A:

Q: III. Find the parametric equations of normal line to the surface given by f(x, y) = tan 2 V + y? at…

A:

Q: o He are going to invest $100,000 in account that Pains 7.5% 00000 at निगाननी interest for 4 S4…

A: Let us solve the compound interest  problem in the next steps.

Q: Directions: Write T if the truth value is true and F if false. 1. Let Q(x) denote the statement "x…

A:

Q: Solve using the differential operator D=d/dx. Use Method of Variation of Parameter [D2 - 8D + 16] y…

A:

Q: (b) Find the solution of the following initial value problem y" – 4y" – 5y' = 9+ 5z, y(0) = 0, y' =…

A: (b) Given ODE: y'''-4y''-5y'=9+5x with initial value conditions y0=0, y'0=0, y''0=4. As per company…

Q: c) Mr Jason deposited $5000 into an account paying 6% annual interest compounded monthly, how long…

A: Solution :-

Q: 5. A family driving across Canada in the summer experienced a delay when their motor home's engine…

A: We will use given equation of heat transfer and values to form equation ,from which we can find k