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Differentiate y = x(x+3)^4

To differentiate this function we use the product rule. In the product rule we, leave the first alone, differentiate the second, and leave the second alone, differentiate the first. Say y = U * V (U and V ar...
HH
Answered by Harry H. • Maths tutor
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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 value ...
OC
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)
TD
Answered by Tutor94163 D. • Maths tutor
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Integrate 1/((1-x^2)^(1/2)) by substitution

arcsin(x) + c
TD
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
DM
Answered by Daniel M. • Maths tutor
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