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d(sin3y)/dx= 3cos3y*(dy/dx)d(3ye^(-2x))/dx = -6ye^(-2x) + 3(dy/dx)e^(-2x)d(2x^2)/dx = 4xd(5)/dx = 0so3cos3y(dy/dx) - 6y*e^(-2x) + 3(dy/dx)e^(-2x) + 4x = 0rearrange the equationdy/dx ...
ln(a^x) = ln(b^y) = ln((ab)^(xy))xln(a) = xyln(ab)ln(a) = yln(ab) = y(ln(a) + ln(b))y = ln(a)/(ln(a)+ln(b))with same analysis for ln(b^y):ln(b) = x(ln(a) + ln(b))x = ln(b)/(l...
(2-9x)^4 [2(1-4.5x)]^4 (2^4)(1-4.5x)^4 Using the binomial expansion formula 16[1+(4*(-4.5x))+(((4*(4-1))/(12)))(-4.5x)^2] 16[1-18x+121.5x^2] 16-288x+1944x^2
To find the gradient of a function, that has constant gradient you pick any two points. You label both the x and y co-ordinates of these two points.Then you subtract the y co-ordinates of these two points...
Answer: Integral= x3/3+ x/2 - cos(x) -1/4 sin(2x) + C Using the general rule that integrating xn results in x(n+1)/(n+1), x2 integrates to x3/3.sin(x...
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