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Solve for x, 5sin(x) - 3cos(x) = 2 , in the interval 0<x<2pi

5sin(x)-3cos(x)=2 Express in the form Rsin(x-@) = Rsin(x)cos@ - Rcos(x)sin@ Rcos@ =5 Rsin@ = 3 tan@ = 3/5 @=tan -1 (3/5)= 0.540 R = sqrt(5 2 +3 2 )= sqrt(34) sqrt(34)sin(x-0.540) = 2 sin(x - 0.540) = 0.343 L...
SM
Answered by Stefan M. • Maths tutor
5020 Views

Use implicit differentiation to find dy/dx of: 2(x^2)y + 2x + 4y - cos((pi)y) = 17

Tackle this problem one part at a time: First differentiate 2x 2 y using the product rule, showing dy/dx(2x 2 y) = 4xy + 2x 2 (dy/dx). After this, the remainder of the question is easier, as there are no mor...
NE
Answered by Nick E. • Maths tutor
6177 Views

Solve x^2+2x-4, leaving your answer in the simplist surd form. (4marks)

Simplist surd form means use Quadratic equation Write out Quadratic equation Write out value of a, b and c Fit these values into equation Now the maths starts. Area's where students are likely to make mistak...
DR
Answered by Desnie R. • Maths tutor
3642 Views

Why is n^0 always 1 and not 0?

Anything raised to the zeroth power is a difficult thing to get your head around. The easiest explanation (not a full proof) is to look at what happens as we go down in powers of n: n^3=n n n n^2=(n^3)/n=n n...
JC
Answered by Joseph C. • Maths tutor
5104 Views

If the area of a rectangle is A, why is the area of a rectangle with lengths twice as long not 2A?

This is because you are doubling both the length of the rectangle and its width. If it were extended by a factor of 2 in only one direction then its are would be 2A. Extending it in the other direction as we...
JC
Answered by Joseph C. • Maths tutor
3723 Views