multivariable calc

Please help!

Find the point where the curve

r(t) = (12sint)i -(12cost)j +5k

is at a distance 13pi units along the curve from the point (0,-12,0) in the direction opposite to the direction of increasing arc length.

(Hint: ty -13pi for arc length)

  1. 👍 0
  2. 👎 0
  3. 👁 109
asked by Chris

Respond to this Question

First Name

Your Response

Similar Questions

  1. MATH--Please help!!

    I'm desperate! Find the point where the curve r(t)=(12sint)i - 12(cost)j+ 5tk is at a distance 13pi units along the curve from the point (0,-12,0) in the direction opposite to the direction of increasing arc length. Thanks for any

    asked by JDS on December 10, 2007
  2. 12th Grade Calculus

    1. a.) Find an equation for the line perpendicular to the tangent curve y=x^3 - 9x + 5 at the point (3,5) [* for a. the answer that I obtained was y-5 = -1/18 (x-3) ] b.) What is the smallest slope on the curve? At what point on

    asked by Eliza on November 28, 2010
  3. Math

    Given that x²cos y-sin y=0 ,(0,π): a)verfiy that given point is on the curve. b)use implicit differentiation to find the slope of the above curve at the given point. c)find the equation for tangent and normal to the curve at

    asked by Abdullah11 on March 23, 2017
  4. calculus

    1. Given the curve a. Find an expression for the slope of the curve at any point (x, y) on the curve. b. Write an equation for the line tangent to the curve at the point (2, 1) c. Find the coordinates of all other points on this

    asked by Fareha on December 3, 2011
  5. calculus

    A curve passes through the point (1,-11) and it's gradient at any point is ax^2 + b, where a and b are constants. The tangent to the curve at the point (2,-16) is parallel to the x-axis. Find i) the values of a and b ii) the

    asked by Amponsah on April 9, 2012
  6. calc

    for the parametric curve defined by x=3-2t^2 and y=5-2t ...sketch the curve using the parametric equation to plot of the point. use an arrow to indicate the direction of the curve for o

    asked by kelly on April 17, 2007
  7. AP Calculus

    Consider the curve given by x^2+4y^2=7+3xy a) Show that dy/dx=(3y-2x)/(8y-3x) b) Show that there is a point P with x-coordinate 3 at which the line tangent to the curve at P is horizontal. Find the y-coordinate of P. c) Find the

    asked by Leanna on January 26, 2011
  8. Calculus Help Please!!! Check

    A curve passes through the point (0, 2) and has the property that the slope of the curve at every point P is three times the y-coordinate of P. Find an equation of the curve. dy/dp = 3y or ∫ (3/y) dy = ∫ dp or 3 ln(y) = p + c

    asked by Tenshi on April 2, 2014
  9. math

    A curve has implicit equation x^2-2xy+4y^2=12 a)find the expression for dy/dx in terms of y and x. hence determine the coordinates of the point where the tangents to the curve are parallel to the x-axis. b)Find the equation of the

    asked by Matteo on March 7, 2011
  10. Maths

    a curve ahs parametric equations x=t^2 and y= 1-1/2t for t>0. i)find the co-ordinates of the point P where the curve cuts the x-axis which i found to be P(1/4, 0) the next part i cant do ii) find the gradient of the curve at this

    asked by Hannah on February 22, 2011

More Similar Questions