limits
limx->3(12x^2+40x+28)/(2x+2)
what is 32
dy/dx (3x/x)
what is 0
∫2->3 (6x^5 + 4x^3)dx
762
A particle is moving across the graph with the equations x=3cos(t) and y=4sin(t)+3x. What is the slope of the particle’s position at t=3?
what is dy/dx = -1
limx->2 (x^3-8)/(x^4-16)
what is 3/8
dy/dx 3y+2x=75
what is -2/3?
∫(3x^2(sin(x)))dx
what is -3x^2cosx+6xsinx+6cosx+c
dy/dx is given as 3cos(x)+5. Find its position vector and evaluate from 0 to 2pi.
what is
y=3sin(x) +5x, 10pi
Find the area of the region common to the two curves r = -6cosθ and r = 2-2cosθ.
what is A = (½∫2pi/3->4pi/3 (2-2costheta)^2dtheta) + ∫pi/2->2pi/3 (-6costheta)^2dtheta = 15.708
limx->3 (3x/x)
what is 3
dy/dx (3cos(x)sin(7x))^2
what is
6cos(x)sin(7x)(-3sinxsin(-7x)+21cosxcos(7x))
∫pi/6->pi/3 (3xcosx)dx
what is (pi-3)sqrt3/2 - pi/4 - 3/2
The velocity of object X is given as v = 5cos(t^2). What is object X’s acceleration at t=8?
what is
a(8) = -80sin(64) = -73.6020830557
Find the derivative of the polar coordinates of r=6sinθ+cos8θ at θ=pi
what is -1/6