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Find dy/dx when y = x^2(cos(x)).

y = x2(cos(x)) therefore we will need to use the product rule, 

dy/dx = u dv/dx + v du/dx

where u = x2 and v = cos(x)

du/dx = 2x and dv/d...

JS
Answered by Joseff S. Maths tutor
31342 Views

Calculate the value of 2^(–3) as a fraction in its simplest form.

To calculate the value of 2-3 first we know that a negative exponent is equivalent to the inverse of the same number with a positive exponent. 

Therefore 2-3= 1/2

JS
Answered by Joseff S. Maths tutor
230361 Views

Calculate the largest share when £400 is shared in the ratio 1 : 2 : 5.

To calculate the largest share, first we need to find out how much each part that makes up a share is worth.

To find out how much the smallest part is (i.e 1 part), we divide the value £4...

JS
Answered by Joseff S. Maths tutor
25123 Views

How do I solve the simultaneous equations 5x - 3y = -1 and 3x + y = 5?

One method of solving these is by elimination. We can try to subtract a multiple of one equation from the other to cancel the x's (or y's).

5x - 3y = -1 (A)
3x + y  = 5  (B)<...

AK
Answered by Alex K. Maths tutor
12740 Views

If y = 5x^3 - 2x^2 + 2, what is dy/dx?

Differentiation can be done term-by-term, so we can treat the 5x3, -2x2 and 2 separately. We can also 'take out' the coefficients: to differentiate 5x3, for example, di...

AK
Answered by Alex K. Maths tutor
9042 Views

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