Top answers

For what values of k does the graph y=x^(2)+2kx+5 not intersect the x-axis

Where the graph intersects the x-axis, x 2 +2kx+5 must be equal to zero. Thus we can answer the equivalent question: For what k does x 2 +2kx+5 = 0 not have a solution?This is now a simpler problem (roots of...
HK
Answered by Hugh K. • Maths tutor
30368 Views

How do you do integration by parts?

When you see a complicated product, split it into the form u.v', where u and v' are algebraic expressions such as x^2. You can then use the formula: uv'=uv-integral(vu') which you would take between any limi...
AB
Answered by Andrew B. • Maths tutor
3495 Views

How do you calculate the area of a circle?

The equation is 2πr. That is 2 x pi x the radius (not the diameter!)
NO
Answered by Nick O. • Maths tutor
3572 Views

The area of a square is 49cm^2. The perimeter of the square is equal to the circumference of a circle. Work out the radius of the circle. Give your answer to 1 decimal place.

Area of a square (A s ) = Side length (L) 2 L = square root A s L = square root 49 L = 7 cm Perimeter (P) = 4L P = 4 x 7 P = 28 cm P = Circumference (C) C = 28 cm C = 2pi x Radius (r) r = C / (2pi) r = 28 / ...
WD
Answered by William D. • Maths tutor
15829 Views

Find the equation of the normal line at the point H, where θ= π/6, on the curve with equations x=3sinθ and y=5cosθ

Step 1: We begin solving this problem by finding the gradient of the tangent line at H, which is equal to dy/dx. In this case, our curve has equations x = 3sinθ and y= 5cosθ. Now, we differentiate x and y wi...
PK
Answered by Pantelis K. • Maths tutor
9233 Views