Given radial force field F = xi + yj
For Parabola C1, x,y coordinates are x = t , y = t2
Parabola r(t) = t i + t2 j , 0 ≤ t ≤ 10
Apply derivative with respect to t on both sides.
dr(t) = (i + 2tj)dt
F•dr(t) = (xi + yj).(i + 2tj)dt
= (xi.i + 2tyj.j)dt
since i.i = j.j = 1
= (x + 2ty)dt
Also, we have x = t , y = t²
F.dr(t) = (t + 2t*t2)dt = (t + 2t3)dt
Now integrate with respect to t in the interval 0 to 10
The work done is...
Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*See Solution
Q: If f(x) 3x-2then f(x) = x 2x+ 2x5/3 2x 2x-1 12 1+5x8/3 3x2 2x-53-3x-3/2 x2 none of the above
A: The given function is,
Q: How do I do this?
A: We are given a function and at a point
Q: Help please..
A: The general Taylor series for ex at x = 0 is as follows.
Q: Kindly help me with this differential equation and identify P(x), Q(x) and v(x).
A: The given differential equation is,
Q: The region is formed by the graphs of y 4x and y 12-x. Find the volume of the solid obtained by revo...
A: For the shaded part the outer radius = 12-x and inner radius = 4sqrt(x).
Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...
A: Given infromation:The given funcion is
Q: Find the area of the following surface using a parametric description of the surface. The cap of t...
A: Consider the surface that is the cap of sphere:
Q: What is Calculus
A: Refer to the question what is calculus,It is topic of maths which helps in studying curves, and find...
Q: a. find a possible function f and number a b. evaluate the limit by computing f`(a).
A: We first write the given function in the form of the definition of the derivative.