194 Answered Questions for the topic Calculus 3

Calculus 3 Calculus

10/18/16

The Cartesian coordinates of a point are given.?

(3, −5) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π.
Calculus 3 Math Calculus

10/14/16

10.2: Calculus with Parametric Equations

Find the surface area generated by rotating the given curve about the y-axis.x = 9t^2, y = 6t^3, 0 ≤ t ≤ 5    
Calculus 3 Math Calculus

10/11/16

3.1: Vector Functions and Space Curve WEBASSIGN?

x = (1 + cos 12t) cos t y = (1 + cos 12t) sin t z = 1 + cos 12t Explain the appearance of the graph by showing that it lies on a cone.

10/09/16

Find the parametric equations and the symmetric equations for the line.

Find the parametric equations and the symmetric equations for the line.   The line of intersection of the planes x + 2y +3z = 1 and x - y + z = 1.   Please explain and thanks in advance!

Vector Functions and Space Curves PLEASE HELP!

At what points does the curve r(t) = ti + (4t − t^2)k intersect the paraboloid z = x^2 + y^2? (If an answer does not exist, enter DNE.)   smaller t-value (x, y, z) = larger t-value (x, y, z)... more

10/08/16

Parametric Curves WEBASSIGN

(a) Show that the parametric equationsx = x1 + (x2 − x1)t, y = y1 + (y2 − y1)twhere 0 ≤ t ≤ 1, describe the line segment that joins the points P1(x1, y1) and P2(x2, y2).   (b) Find parametric... more

10/07/16

Parametric Curves

a. Describe the motion of a particle with position (x, y) as t varies in the given interval.x = 4 + 3 cos t, y = 4 + 3 sin t, pi/2 ≤ t ≤ 3pi/2   b. Describe the motion of a particle with position... more
Calculus 3

10/07/16

find the limit as (x,y) approaches (0,0)

given (x^3+y^3)/(x^2+y^2)
Calculus 3 Vector

10/04/16

Find an equation of the plane.

Find an equation of the plane.The plane that passes through the point (2, 4, 5) and contains the line x = 5t, y = 2 + t, z = 4 − t
Calculus 3 Math Calculus Vector

10/03/16

12.5: Equations of Lines and Planes

Find an equation of the plane.The plane through the point (7, −8, −4) and parallel to the plane 9x − y − z = 1

10/03/16

CALC 3 : Is the line through (-4, -6, 1) and (-2, 0, -3) parallel to the line through (8, 19, 8) and (3, 4, 18)?

Is the line through (−4, −6, 1) and (−2, 0, −3) parallel to the line through (8, 19, 8) and (3, 4, 18)?   Please use something along the lines of parametric and symmetric equations! This is... more
Calculus 3

09/30/16

Finding convergence/ divergence of a series- Calculus three

summation of (1/(n)^1/2)-(1/(n+1)^1/2)   Does this converge or diverge? I would assume it diverges but online sources say it converges with the comparison test. I don't see how that would work.   
Calculus 3 Calculus Physics Vectors

09/30/16

Vectors - Calculus 3

A clothesline is tied between two poles, 6 m apart. The line is quite taut and has negligible sag. When a wet shirt with a weight of 0.6 kg is hung at the middle of the line, the midpoint is pulled... more
Calculus 3 Word Problem Vectors

09/29/16

VECTORS!? PLEASE HELP!

A clothesline is tied between two poles, 10m apart. The line is quite taut and has negligible sag. When a wet shirt with a weight of 0.8 kg is hung at the middle of the line, the midpoint is pulled... more
Calculus 3 Math Help Calculus 2

09/26/16

Let f(x) = x^2. Find f(2x) - 2f(x) for x = -3. PLEASE HELP!!!

Let f(x) = x^2. Find f(2x) − 2f(x) for x = -3.   Here are the answer choices.    a. -18 b. -9 c. 0 d. 9 e. 18   Please explain and thank you in advance!

09/22/16

I need help finding the solution to a vector problem from my calc 3 lab.

I've tried to answer the problem but I'm pretty sure that everything I did was wrong. Here's the problem.   This fun problem relates to physics. In case you’re not a physics major, we urge you... more

09/14/16

equation of plane

find equation of a plane that contains the line x=3t y=2+t z=-2t and parallel to the intersection of planes 2x-y=0 and y+z=-1 i dont know what to cross im so confused please help

Solving for t in this equation.

205e0.005t = 280 + t   Please help me solve for t. I would like to know how to do it by hand.   

Find intervals containing solutions to the following equations.

Find intervals containing solutions to the following equations.(a) f(x) = x − 3^−x = 0b)f(x) = x^3 + 4.001x^2 + 4.002^x + 1.101 = 0.I want help how can I find intervals and solutions for these... more

08/26/16

find equation of line through the point (1,-1,1) perpendicular to the line 3x=2y=z and parallel to plane x+y-z=0

i have no idea solving the problem :((

08/25/16

equation of plane that contains point (2,0,3) and line x=-1+t, y=t, z=-4+2t

I tried solving it and I got -x-5y+3z=7 but it seems wrong. Any help please?
Calculus 3

08/22/16

Vectors and Force

Consider a 70 N weight suspended by two wires. The magnitude of F2=40 N, and angle B is 50 degrees. Find the missing angle and magnitude of F1.
Calculus 3

08/22/16

Geometric Descriptions

Give a Geometric description of the set of points in space whose coordinates satisfy the pair of equations or inequalities.    1) z=x+1 , no restriction on y   2) x2+y2+z2=25, x=3
Calculus 3

08/17/16

L'hopitals rule

Use l'hopitals rule to solve: Limit as x appriaches 0 of (tanx-x)/x  
Calculus 3

07/26/16

parametric equation

Find the parametric equation of the line passing thru the point A(1,0,-1) that is perpendicular to the lines r1= <3+2t, 3t, -4t> and r2= <t, t, -t>.   Thank you

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