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a) Find the equation of the line that passes through (2,10) and (4,16) b) Find the point where the line in (a) intersects the line y=5x-2

a) y=3x+4 b) (3,13)
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Answered by Tutor94163 D. • Maths tutor
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Integrate 1/((1-x^2)^(1/2)) by substitution

arcsin(x) + c
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Answered by Tutor94163 D. • Maths tutor
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y' = (2x)/(y+1). Solve for y.

y' = dy/dx = (2x)/(y+1) Separate x's and y's in this case. y + 1 dy = 2x dx Now integrate both sides. (y 2 )/2 + y = (2x 2 )/ 2 + C Don't forget the constant. (y 2 )/2 + y = x 2 + C
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Answered by Daniel M. • Maths tutor
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Find the differential of (cos2x)^2

This is a question that can be answered in two ways: using the product rule and the rule for differentiating powers, we will do both to see how the two rules are equivalent. chain rule: split the function in...
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Answered by Hoagy C. • Maths tutor
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How do you complete the square?

Completing the square is often useful when solving equations! An example: x 2 +6x-7=0. Step 1) We want to move the constant to the right hand side: x 2 +6x=7. Step 2) Now, add the square of the coefficient o...
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Answered by Lisa W. • Maths tutor
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