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When solving a trigonometric equation, like sin(x) = -1/3 for 0 ≤ x < 2π, why do I get an answer outside the range? Why are there many correct answers for the value of x?

Drawing the graphs of the trigonometric functions sin, cos & tan, we can see that they all extend along the x-axis to infinity. Indeed, the sin & cos functions move between 1 and -1 on the y-axis,...

Answered by Alexandra G. • Maths tutor

8144 Views

Find the equation of the the tangent to the curve y=x^3 - 7x + 3 at the point (1,2)

y_C=x³ - 7x + 3 ------> equation of curve.y_T=mx+c ----------------> equation of tangent, where m is the gradient of the graph and c is the value of the y-intercept (t...

Answered by Matthew B. • Maths tutor

3042 Views

How would you solve the inequality x^2-2x-8 >= 0?

We are looking for all the x values for which this equation holds. We know how to solve quadratic equations without the inequalities, and that is the first step here! So let's forget about the greater tha...

Answered by Kirsty G. • Maths tutor

16673 Views

Intergrate 8x^3 + 6x^(1/2) -5 with respect to x

2x³ + 4x^3/2- 5x + cGeneral rule for integration is increase the power by 1 then divide by the new powerAlways remember +C !!!!!!!

Answered by Tia-Marie M. • Maths tutor

3051 Views

Calculate the binomial expansion of (2x+6)^5 up to x^3 where x is decreasing.

In order to use the binomial expansion, we must have an 'x' with no coefficients - so no number before it.
So we take out a factor of 2:(2(x+3))^5
We can then simplify to:32(x+3)^5
by expa...

Answered by Sophie C. • Maths tutor

3574 Views