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Find the coordinates of the stationary point on the curve y=2x^2+3x+4=0

The stationary point on the curve is the point on the curve where the gradient is 0. In other words the tangent to the curve at that point is horizontal. The gradient of the curve can be expressed as dy/dx w...
QZ
Answered by Qais Z. • Maths tutor
5799 Views

Solve the equation cosec^2(x) = 1 + 2cot(x), for -180° < x ≤ 180°.

First, we want to convert the equation to a simpler form involving just one function of x. Squared trigonometric functions are normally good candidates for simplification, thanks to the trigonometric identit...
MH
Answered by Max H. • Maths tutor
11316 Views

Integrate cos(x)sin^2(x)

Answer: sin^3(x)/3 + c The student can either solve by inspection by noticing that the derivative of sin^3(x)=3sin^2(x)cos(x). OR The student can use the longer method of integration by parts.
MS
Answered by Milan S. • Maths tutor
9760 Views

In the triangle ABC, AB = 16 cm, AC = 13 cm, angle ABC = 50 and angle BCA= x Find the two possible values for x, giving your answers to one decimal place.

Using the sine rule: sina/A = sinb/Bsinx/16 = sin50/13sinx = 16 * (sin50/13)sinx = 0.943x = 70.5 and 109.5
YP
Answered by Yva P. • Maths tutor
14635 Views

Find the general solution of the differential equation: d^2x/dt^2 + 5dx/dt + 6x = 2cos(t) - sin(t)

First solve complementary function, i.e. d 2 x/dt 2 + 5dx/dt + 6x = 0. To do so, let x = e mt , where m = arbitrary constant. Differentiating gives dx/dt = m e mt and d 2 x/dt 2 = m 2 e mt . Substituting int...
MG
Answered by Mick G. • Maths tutor
7370 Views