Compute the upward flux of the vector field Ĥ(x, y, z) = (x, 0, 2z) across the portion of the paraboloid z = = x² + 2y² that lies above the triangle on the xy-plane with vertices at (0,0), (1,0) and (1,3) .

Q: Given the vector field F=rcoso ar+sine ae +rap After solving for the question, what is the scalar…

A:

Q: • Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7,-1,8) lie on…

A:

Q: 9) If f(z)=u-iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

A:

Q: Let f and g be functions which are differentiable on R. For each of the following statements,…

A:

Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. z = x² + y² − 4, z = 8…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 8. The value V (in thousands of dollars) of an industrial machine is modeled by V(N) = (3N + 430)…

A:

Q: • Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7,-1,8) lie on…

A:

Q: tan x-4 What is the slope of the tangent line that touches the curve f(x) = where x=5? Round your…

A:

Q: D 11. What is the measure of arc AC? A. 54 deg B. 137 deg C. 180 deg D. 111 deg E. 174 deg F. 23 deg…

A:

Q: Find the surface area of the following figure. Round your answer to the nearest tenth. 14.2 m 11 m…

A:

Q: 3. Find the maximum and minimum values of z-a 1 āz on |z| ≤ 1 (where a with |a| < 1 is fixed)

A:

Q: -sine ae +r a evaluate the line integral of when evaluated from n (2,π/2,1/3) to (2,ñ,π/3). sin F…

A: Using the orthogonality of the spherical coordinates.

Q: Problem nas Find ypt y" - 4y +4y урт 9.5e²+ = +² +1

A:

Q: Let f and g be functions which are differentiable on R. For each of the following statements,…

A:

Q: 2 The region bounded by the y-axis and the curve y = 6x - x²: D[0,3] is rotated around the y-axis.…

A:

Q: (6). If V (km/hr) and R(kg/ton) are related by a relation of type R = a + bV2, find by the method of…

A:

Q: Find by implicit differentiation, given that x²y — 8y³ = −4. Your answer dy dx could involve both x…

A:

Q: Find the Inverse Laplace Transform of the following: 8 F(s) F(s) = 53(s²-5-2) = s(s²+4) F(s) =…

A:

Q: Example 9.2. From y = A2" + B(-3), derive a difference equation by eliminating the constants.

A: Given yn=A2n+B(-3)n......(1) We derive a difference equation by eliminating the constants.

Q: Kindly help me solve the following problems. Show details and illustrations. A cable is to be run…

A: Given: d=9002+x2 To find: Distance

Q: Find general solutions for the given differential equations 6. (x+22³)dx + (y-2y2)dy = 0. 7. y' -…

A:

Q: (e) Calculate the length of AC in metres. (d) Show that the length of BC is 19.1 metres correct to 3…

A:

Q: If f(x)=3*-9 and g(x)= tanx, then what is the domain of (g+f)(x) on the interval [0,2m]?

A:

Q: (2x - y)dx + (4x + y - 6)dy = 0

A:

Q: 8. Given the parallelogram ABCD below, with E and F the midpoints of sides AB and CD, AF||EC, and BP…

A:

Q: Example 8.15. The velocity vlkm/min) of a moped which starts from rest, is given at fixed intervals…

A: Consider the given table of values, t 2 4 6 8 10 12 14 16 18 20 v 10 18 25 29 32 20 11 5 2 0…

Q: 4. Read this problem carefully. Row reduce the matrix to reduced echelon form. Circle the pivot…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: A completely regular space is also T1-space 1 True 2 False

A:

Q: 2 COS X Let f(x) 1 and g(x) = = 1-sinsin x find the inverse function of f(x) * g(x) sinx+tanx 1+secx

A:

Q: Find the zero-divisors of Z6.

A:

Q: What are all the transformations that could have been form in the picture ?

A:

Q: What is a root correct to three decimal places of the equation x^3  – 3x= 5 by Using Newton-Raphson…

A:

Q: II. Solve the initial value problem. 1 y= dr x+1 *(x + 1)¹3(e) = 1 (b) / + y tan r= cos² r, y(0) =…

A:

Q: 3. Determine if b is a linear combination of a₁, a2, and a3. 2 3 a1 = 1 , A2 = 2 , az = 1 b= 4 1 1 0…

A:

Q: QUESTION 6 Solve the following boundary value problems a. y"+4y= 0, y(0)=-2, y (7) = 5 6 b. y"+3y=0,…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 7. If f(x) = mx²-x+2 and g(x) = 3x² +nx-4, and the points (-2, -14) and (1, -11) are on the combined…

A:

Q: Find the zero-divisors of Z6.

A:

Q: 2 cos x Let f(x) 1 and g(x)= = = - 1-sinsin x find the inverse function of f(x) * g(x) sinx+tanx…

A: Given that,fx=cos2x1-sinx-1gx=sinx+tanx1+secxThe inverse function of fx*g(x) is determined as shown…

Q: 1. Let V be the set of all 2 x 2 matrices 4= such that the product abcd = 0 with standard operations…

A:

Q: Let T: R³ → R³ be a linear operator and B = [v₁, V2, V3] a basis for R³. Suppose 0 T(v₁) =_=A T(v₂):…

A:

Q: 2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) =3, f(3) = 55 using…

A:

Q: 8) Find the Laurent series of f(z) = (z-1)(z-2) b) ·+3+3+3+3+3² +22² +22³ **** + c) .... + I d) NOTA…

A:

Q: . The given family of functions is the general solution of the differential ec licated interval.…

A:

Q: 2 3. 4. S 5. A logic 6. 7. 8. Stack Use the clues to deduce which linear equation goes in which…

A:

Q: Example of a function that is dot convergent but not uniformly convergent

A:

Q: Let us solve the following equation via separation of variables du(x, t) Ət = 3 Pu(x, t) dx² a)…

A:

Q: +3u +5u -u +10u =0 is of 6. Show that the equation 3u -2u +2u-2u -21x₂x3 xqJ₂ x-x₂ elliptic type by…

A: Coefficients of fifth term of tha last expression will be negative

Q: Q4. Solve the given ODE using the method of undetermined coefficients. - y" - 4y = (x² − 3)(sin2x)

A:

Q: 3. Find the maximum and minimum values of z-a 1 āz on |z| ≤ 1 (where a with la| < 1 is fixed)

A:

Q: Consider the curve C = C₁ U C2 U C3 U C4, piecewise smooth, oriented from the point A (3, 7, 3) to…

A: