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(1)it was reported that the mean temperatire in california has incre.pdf
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(1) clearly identify its type and (2)find a solution, unless it is o.pdf
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(1) At what points does the helix r(t) = < sin t, cos t, t > intercept the sphere x2 + y2 + z2 = 5 (a) Sketch the plane curve with the given vector equation. (b) Find r\'(t) (c) Sketch the position vector r(t) and the tangent vector r\'(t) for the given value of t. Solution Substitute into the equation of the sphere. (sin t)^2 + (cos t)^2 + t^2 = 5 ==> 1 + t^2 = 5 ==> t = 2 or -2. We have two points of intersection: If t = 2, then r(2) = (sin 2, cos 2, 2). If t = -2, then r(-2) = (sin(-2), cos(-2), -2) = (-sin(2),cos(2),-2) I hope that helps!.
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- (1) clearly identify its type and (2)find a solution, unless it is of the "special integrating factor"- type: then you must find the special integrating factor only. (x^2 - 3y^2)dx + 2xydy = 0 Will give 5 star rating for help. Thanks! Solution it is homogeneous form dy/dx = 3y*y - x*x/2xy dy/dx = (3/2) y/x - x/y put y = mx dy/dx = m + x dm/dx dy/dx = m + x dm/dx = (3/2)m - 1/m now it becomes variable separable form
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