Please show work. This is my calculus 3 hw.Part B Given F(x, y, z)=(-2yz, y, 3x), and C is the curve of intersection of z=₁and z = 3.Sketch a representative drawing. Assume C has counterclockwise orientation when viewed from above.(a) SET UP the line integral [F·drevaluate.dr as a line integral (do not use any theorems). Simplify but DO NOT(b) Use a theorem to find [F. dr. Which theorem did you use? Evaluate completely. Indicate theorientations on the curve and the surface you are using.5

Answered: Image /qna-images/answer/23b53b44-ce15-49e2-87d7-7ebdcd95f937.jpg

Answered: (b) Use a theorem to find [F.dr. Which…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

See similar textbooks

Similar questions

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Let f(x, y) = 5ex - Y. Find the equation for the tangent plane to the graph of f at the point (5, 5).
Find the equation of the tangent line to the curve of intersection of the surface z = x² - y² with the plane x = 9 at the point (9, 1,80). (Express numbers in exact form. Use symbolic notation and fractions where needed.) equation:
Find F.dr when F(x, y) = (2x,3y²) and C is only the first quadrant part of a circle of radius 3 centered at the origin oriented clockwise.
Find an equation of the tangent plane to the surface z = 2y? – 3x? at the point (-3, -3, -9). = Z
Find an equation of the tangent plane to the surface z = 3x³ + 3y + xy at the point (-1,-1,-5). z=-15x-15y-5
Find an equation of the tangent plane to the surface x-xyz 56 at the point (-4,5,2). Select one: a.-9x+4y+10z=76 b.3x+2y-5z=-6 c3x-5y+2z%3D 76 d.-9x+4y-10z 76
Assume that y is a function of x. Find (d2y)/(dx2) for x2y-y2-2(sqrt x)+4=0 at point (1,2) 7/6 8/6 11/6 13/6
Let f (x, y) = e3x-4y). Find the equation for the tangent plane to the graph of ƒ at the point (1,2). (Use symbolic notation and fractions where needed.) z =
Let r be a positive real number. The equation for a circle of radius r whose center is the origin is x² + y² = r². dy (a) Use implicit differentiation to determine dx (b) Let (a,b) be a point on the circle with a + 0 and b # 0. Determine the slope of the line tangent to the circle at the point (a, b). (c) Prove that the radius of the circle to the point (a, b) is perpendicular to the line tangent to the circle at the point (a, b). Hint: Two lines (neither of which is horizontal) are perpendicular if and only if the products of their slopes is equal to –1.
Find the equation of the tangent plane to the surface 9x +36y +4z? = 108 at the point (-2,1,–3). Write your final answer in the form ax+by+cz = d with all integer coefficients. 6.

Recommended textbooks for you

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

(b) Use a theorem to find [F.dr. Which theorem did you use? Evaluate completely. Indicate the orientations on the curve and the surface you are using.