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A) To find acceleration from a velocity equation, we must differentiate velocity, v = 50 - 10t.This gives us dv/dt = -10 = accelerationB) To find displacement from velocity, we must integrate the velocity...

Setting the two equations equal to one another to find the intersection boundaries:x^2+16x+4=6x+4; x^2+16x+4-6x-4=0; x^2+10x=0;x(x+10)=0; x=0, x=-10. Setting up the vol...

1. Stationary points occur when dy/dx=0, therefore determine dy/dx first:
   dy/dx= 2x² + 4x - 6
   2) solve dy/dx=0 for two values of x (using quadratic formula, if necessary):
   (x+...

We firstly need to find the slope of the line normal to the curve at the point (c, lnc). To do this, we will differentiate implicitly the equation of the curve to find the slope of the tangent. By implici...

We are dealing with a geometric sequence here, we will therefore focus on the geometric sequence formulas that are given in the math HL formula booklet. The first part of the information we are given stat...