DETAILS MY NOTES LARCALC12 15.1.071. [-/4.54 Points] (V Find curl(curl F) = ▼ × (▼ × F). F(x, y, z) = 3x³yzi + yj + 3zk curl(curl F) =

Q: Area of a regim enilosed is by Curves y= 12 and

A: To find the area enclosed by the given two equations

Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

A: We have to find the value of x if dydx=6x2-2x and the curve passes through the point (1,5).…

Q: Find x so the distance between (x, 3) and (4, 7) is 2/5.

A: Answer

Q: 4. Calculate fx J₂ dx

A:

Q: Find the exact length of the curve. v= In(1 – x²). y 0 <x < 1 In(|3|) - 8.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: a dx Evaluate (4a² +9x*)

A: This question is based on Indefinite Integration.

Q: Find all points on the graph of 3x2 + 6y² + 3xy = 64 where the tangent line is horizontal. y X.…

A:

Q: Create a 3-D plot of the function sin(/x² + y²) Vx² + y² for -8 <x5 8 and –8 < x < 8.

A: Note: Here, we are considering -8 ≤ x ≤ 8 and -8 ≤ y ≤ 8 rather than -8 ≤ x ≤ 8 and -8 ≤ x ≤ 8. We…

Q: 3. Why can you not use the power rule to differentiate y = e*?

A:

Q: Find the points on the graph of z = xy +8y where the tangent plane is parallel to 9x + 5y + 9z = 0.…

A:

Q: 9. f 6 sec¹ xdx

A:

Q: Given DEF -> WHY through a reflection across the line y = x. What are the coordinates for the image…

A: We need to find coordinates of H.

Q: y=ー-x+5 3 y=-x+7

A: This question is based on Substitution.

Q: Let F = (2yz – 3x) i + (3xz + 3y) j – (2xy+ ∞z) k. Find div F and curl F.. |

A:

Q: Find the area of the segment cut from the curve y=x (x-3) and the ordinates x=0 and x=5

A:

Q: 2. Circle One. Are (x-3) and (x-2) factors of: f(x) = x'-3x -4x+12 YES or NO

A:

Q: 3. y = -4 x-2: (4, -4)

A:

Q: Find the length of the curve: - for 1< y<3. 3 4y 4. x=

A: As we know that the length of a curve x=f(y) is given by:- L=∫ab(f'(y))2+1dy

Q: An F-curve has df = (12, 7). What is the number of degrees of freedom for the a. numerator? b.…

A: The degrees of freedom for the F-statistic is, df=(k−1, n−k). The F-distribution has two numbers of…

Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

A:

Q: Find a value for x so that distance from (x,3,6) to the origin is 9

A:

Q: nd the ndcaed liml lim 15X +3

A:

Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

A: