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X is a prime number higher than the square of 5 and lower than the square of 7. What are the smallest and largest possible values for X?

The square of 5 is 25 and the square of 7 is 49. The prime numbers found between these 2 values are: 29, 31, 37, 41, 43 and 47. This means the smallest value fitting the criteria is 29 and the largest val...

Answered by Oana C. • Maths tutor

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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)

Answered by Tutor94163 D. • Maths tutor

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Integrate 1/((1-x^2)^(1/2)) by substitution

arcsin(x) + c

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.

(y²)/2 + y = (2x²)/ 2 + C Don't forget the constant.

Answered by Daniel M. • Maths tutor

3639 Views

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...

Answered by Hoagy C. • Maths tutor

6046 Views