Find the volume of the solid that results when the region bounded by x=y^2 and x=4y+5 is revolved about the y-axis please.

Q: Find div F and curl F if F(x, y, z) = 13y'z4i – 16x4z10j – 3xy'k. - - div F= curl F=

A:

Q: Find div F and curl F if F(x, y, 2) = 16y"z'i – 8x"zj – 7xy°k. div F= curl F=

A:

Q: Ise Newton's method with the specified initial approximation x, to find x, the third approximation…

A: Solve the following

Q: (-x+82.762) 1(x) = 0.5e - 25.7 12 М m(x) — 0.15(х - 90)2 — 25.7

A: To find thee first and second derivative of the functions given.

Q: If f(x) cos-(2x+5) 2, then dom(f) = %3D a+3 (A) (–3, –2) (B) [-3, –2] (С) (-3, —2] (D) (–1,1) (E)…

A:

Q: x+dx Using trigonometric substitution, - (1+x²) = tan odo A sece sin*Ðd0 cose sec 8d0 tan 20 D None…

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: Use substitution to find the indefinite integral. Зх + 7 (6x + 28x) 5 3x +7 (6x² + 28x) =xp.

A:

Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if a is the…

A:

Q: Find dy/dx. x = Vt y = 9-t dy dx

A: Here, x=t3y=9-t

Q: Suppose a product's revenue function is given by R(g) is units sold. 5g? + 500g, where R(g) is in…

A:

Q: 2. sin 2wcos 2wdw

A:

Q: 11 ti + dt

A:

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

A:

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

A:

Q: Use the Divergence Theorem to compute the net outward flux of the field F = (4x, y, - 2z) across the…

A:

Q: Find the points on the surface 6x² + y² – 3z² = 4 where the tangent plane to the surface is parallel…

A: We want (x,y,z) such that 6x2+y2-3z2=4 and ∇f(x,y,z)=λ(2i→+7j→-k→) for some λ where…

Q: Evaluate the integral. V3/2 dr V1- r2 |

A: We know, ∫dx1-x2=sin-1(x)

Q: Question 5 Given the expression below, y = ecos" arcsec(ln(r 1)) determine y. Upload Choose a File

A:

Q: Find V. (F x G), if F(x, y, z) = 3xi +j+ 10yk and G(x, y, z) = xi + yj – zk. - V. (F x G) =

A:

Q: dx Solve the separable differential equation dt and find the particular solution satisfying the…

A:

Q: x* +x? 5. lim, +* e* +1 In x 6. lim, csc(6x) csc(2x) 7. lim 5x+ 2lnx 8. lim, X+3lnx 2Tan 'x-x 9.…

A:

Q: Evaluate the integral. V3 8 dx /1/v31 + x

A:

Q: Find V· (V × F) if F(x, y, z) = 9 sin xi + 5 cos(2x – 3y)j+ 7zk. - V·(V × F) %3D

A:

Q: |i cos t?dt can best be evaluated by: A Trigonometric Transformation B) None C Integration by Parts…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 + 9x dx (x8 + 1)e*³.

A:

Q: S- 3 dy 3y - sin –+C 4– 9y2 3 A True B) False ||

A:

Q: What u-substitution should be made in order to evaluate the following integral? dx (6x² + 4)* u =

A:

Q: dx 3-x

A:

Q: Question 3 dy Given the following function, determine do sec 0 You may use Insert -> Equation to…

A:

Q: ind V × (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V x (V × F) = ||

A: Topic:- application of derivatives

Q: Question 3 Determine the derivative of In(csc x) cot x Csc I - cot x CS z Previous

A: A detailed solution is given below

Q: S Vcos 20 sin 20 do

A: To evaluate the following integral.∫cos2θ sin2θ dθ

Q: Find the series' interval of convergence and, within this interval, the sum of the series as a…

A:

Q: Attempt 3 A net is dipped in a river. Determine the flow rate of water across the net if the…

A: Given

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: cos²(x) + 2cos²G) . cos³(x) - .dx

A: We have to find the integral.

Q: Question 5 Determine the derivative of the given function: y = 5-2 Oy = 5"-2 (In 5)(x - 2) Oy = 5-2…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = 3x, x = 4, x = 5 and y =…

A:

Q: One of the correct steps to evaluate x²lnx dx to yield the correct integral (A x2 – 2 | dx x³Inx В…

A:

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: ||r'(t) × r"(t)|| ||r'(t)||* Use the formula k(t) = to find k(t). r(t) = e"i K(t) =

A:

Q: Sketch the region whose area is given by the definite integral. 8. x dx

A:

Q: Let f(x) = x - x? on 0, 1]. f(0) f(1) = Find c such that f'(c) = 0 or, if Rolle's Theorem does not…

A:

Q: Find the area bounded by the curve y = 8 – x and both coordinate axes in the first quadrant. Area of…

A:

Q: x2 + xy? lim (x,y)→(1,2) x4 + 2y2 or show that it does not exist. 2. (a) Evaluate the limit + xy? or…

A: We need to find limit.

Q: (2n)! for 1· 3·5 ... (2n – 1).) 2"n! Use the binomial series to find the Maclaurin series for the…

A:

Q: | (ax³+ bx² + cx) dx = 2b x²dx where a, b and c are constants. (A) True B False

A: We need to show in this question whether the two integrals are equal or not

Q: 4 Determine the set of x-values where f(x) 12z is continuous, using interval notation. (-x,5) u (…

A:

Q: For the cruciform in the figure below, the equation is x²y2 - 9x2 – 4y2 = 0, find the equation of…

A: To find the equation of the tangent line for the given curve.