Use the Divergence Theorem to calculate the flux of F across S, where F=zi+yj+zxk and S is the surface of the tetrahedron enclosed by the coordinate planes and the plane

Q: Find the limit. lim (t i – 3 j+ t?² k) t-2 lim (t i- 3 j+1? k) = j + i i+ i i k

A:

Q: ф бху dх + 2ху dy %3D i

A:

Q: Find the second derivative (y") of the given function: 6. 2-e

A:

Q: Find V (V × F), if F(r, y, z) = 7e"i+6xe"j – 2ev²k. V· (V × F) =|0

A: We have to find ∇.∇×F→

Q: Evaluate: 3 A 1–x*) 2 + C 3 (1-x*) ² + C --(1-x*) ² +C D 1-x*) 2 + C 3

A:

Q: 23 + 7x + 9 Find dy: y = 1² + 4 dy :

A:

Q: For the given function find dy/dx. = x +2

A:

Q: 3 Evaluate the following indefinite integral: 1.) f 10ma dx

A:

Q: dy Solve the separable differential equation dt t t?y + y Use the following initial condition: y(0)…

A:

Q: Find r(t) · u(t). r(t) = (7t – 4)i + j + 4k u(t) = t?i – 8j + t?k r(t) · u(t) = Is the result a…

A: Use dot product concept

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 4 cos(t)i+5 sin(t)j+ 6tk;…

A:

Q: 5 x X LOS

A: Given: I=∫0πsin5x2cos7x2dx  ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C

Q: Given: 4 2 y = -arctan sinh 3 х — find y' at x = 2 - cosh 1 - y 1 + sinh? 1 %3D cosh 1 y = 1 + sinh…

A:

Q: In +1- 2 dt, if we let V Vt+1-2, then dt is equal to t+1– 2, then dt is equal to A) None 4x³dx ©…

A:

Q: Find div F and curl F if F(x, y, z) = 4y°z°i – 8a*zl°j – 7xy°k. div F= curl F

A: we have to find curl and divergence of F.

Q: 1. Use the right hand rule to determine which of the following vectors ( î, -î, ĵ, -ĵ, k, –k ) would…

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: 4. SET A. Evaluate di/dt, correct to 4 significant figure, when t 0.1 and I 15t sin 3t. %3D

A:

Q: xe' – ye* = In(xy). Find dy/dx

A:

Q: A A A A A A A A A A AA A A A A A A A A A A A A A A A AAA 6. What is the sum of the series TC + ... +…

A:

Q: Current Attempt in Progress Find curl(6z i + 7x j + 9y k). curl(6z i + 7x j+ 9y k) = ( i Di +( i )j…

A:

Q: Find the conservative vector field for the potential function by finding its gradient. h(x, y, z) =…

A: Given problem:- Find the conservative vector field for the potential function by finding its…

Q: Find the area of the surface generated by revolving the curve about each given anis. *- 7t. y= st,…

A:

Q: Find the derivative, dy/dx: y = log3 (2x +1) Oy =- (2z+1)3 In 3 Oy = (2r+1) In 3- Oy= log, e (2z+1)3…

A:

Q: Use continuity to evaluate the limit. 16 + Vx lim 16 + x

A:

Q: Sx sin(3x – 2) dx |

A:

Q: y' + 4y = e^(4t) %3D

A:

Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify as possible:…

A:

Q: Find curl (4z i+ 5x j+ 9y k). curl (4z i + 5x j + 9y k) = ( Di + ( j + ( i i )k

A:

Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of f(x) = 8x + 7 %3D…

A:

Q: Show clear and clean solutions. 1. By definition, find the derivative of a.y = %3D x+4 b. y = 4x2 –…

A:

Q: 3. y = In? (csc2x). Find y"

A: y=ln2(csc2x)

Q: Vx² -9 What trigonometric substitution should be used to evaluate ? x2 A x=3 sece В x=3 tane C) None…

A:

Q: Find curl (5z i + 6x j + 9y k). curl(5z i + 6x j + 9y k) = ( i )i + ( i )j + ( i )k

A: Given: To obtain the curl (5z i+6x j+9y k)That is to find: ∇×Fwhere here F=5z i+6x j+9y k

Q: Find the derivative: 2 (2 + y) = y? O y = y(2-y) z(1+2) z(2z+y) y(1-2) Oy = 2+) z(1-2) y(22+) |3D Oy…

A:

Q: about the line, x- | (E'1) puo (!!)'(0) squiad %3D V= T RG) 3-X y= 2x+1 Idy 3 - 23. x- V= T 29 12

A:

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A:

Q: Use the below graph of f(x) defined on the interval (0,12] to answer 4 through #9. 4- 11 4) Over…

A:

Q: Find div F and curl F if F(x, y, z) = x°i – 6j + yzk. - div F= curl F=

A:

Q: The most conveneient way to evaluate x2- by substitution is to let Vx2- 4 =y A True B) False

A:

Q: y = (sinh(@)) Solve for y'. Express your answer by factoring out a common facto

A: First I have taken the log on both side to the given function and then differentiating it with…

Q: Find div F and curl F if F(x, y, z) = 4y®z°i – 11a°z°j – 5xy'k. div F= curl F=

A:

Q: 422+3r-2 Given z+1 determine y" 18 (z+1) (z+1) 2 (z+1) 10 (z+1)

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A:

Q: Sing do Coso + Cose-2

A: LetI=∫sinθcos2θ+cosθ-2dθPut cosθ=uDifferentiate on both…

Q: v (km/hr) t (hours) -b The figure above gives your velocity during a trip starting from home.…

A:

Q: Find the general solution of the given linear diff eq. y'' - y = cos(x) - 5sin(2x) by VARIATION OF…

A:

Q: x2 - 8 R2.1 J x2 + 5x + 6 Answer with text and/or attachments

A:

Q: Find sin 0. cot 0 = 4 O in quadrant IV sin 0 = (Simplify your answer, including any radicals. Use…

A:

Q: Evaluate the integral (12x + 6y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

A:

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

A: