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A Cartesian equation is in the form ax + by + cz = d. The a, b and c constants are given by the normal vector to the plane so we must find this first. You find the two direction vectors of the plane by su...

First of all, label the sides in the right-angled triangle. Then, write out SOHCAHTOA, using three small triangles. Next, tick off the letters of the sides that either have a number, or the letter x, writ...

tan(x) is defined as sin(x)/cos(x) For a function which can be written as f(x) = u(x)/v(x) the quotient rule can be appliedThe quotient rule states f ' (x) = (u'v-v'u)/v^2 Applying this to the formula for...

Dy/dx = 6x²- 3x + 4y = 12x - 3 + c14 = 12(2) - 3 + (c)14= 24 - 3 + c14 = 21 + cc= -7y = 12x - 10

Firstly, integrate y with respect to dx. Increase the powers of x by 1 and then divide the coefficient of x by the new power of x. I.e.: x^3 becomes 1/4x^4. The power increases from 3 to 4 and the coeffic...