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Explain the process of ultrafiltration in the kidney.

Ultrafiltration begins in the nephron in the kidney. Blood travels through a coiled structure of capillaries called the glomerulus surrounded by the Bowman's capsule. The hydrostatic pressure of the flow of ...
NM
Answered by Nuala M. • Biology tutor
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Find, using calculus, the x coordinate of the turning point of the curve y=e^(3x)*cos(4x) pi/4<x<pi/2 (Edexcel C3)

The turning point of a curve is the point at which the gradient is 0 as from there it stops rising and starts falling or vice versa. To find this we differentiate y with respect to x (dy/dx) to find the gene...
JW
Answered by James W. • Maths tutor
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State the nth term of the following sequence: 3, 7, 11, 15, 19

First we look at the jump between each term:7-3=4, 11-7=4, 15-11=4, 19-15=4So we know that the difference in each step is 4. So our expression with look like 4n+d for some number d.Comparing what we have wit...
HD
Answered by Huw D. • Maths tutor
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The equation (k+3)x^2 + 6x + k =5 has two distinct real solutions for x. Prove that k^2-2k-24<0

We argue using the discriminant of a quadratic polynomial. For a quadratic ax^2 + bx + c=0, the discriminant D is D = b^2 - 4ac. When this quadratic has two distinct real roots, we have that D &gt; 0. So we ...
HD
Answered by Huw D. • Maths tutor
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I don't understand why the function "f(x)=x^2 for all real values of x" has no inverse. Isn't sqrt(x) the inverse?

I don't understand why the function &quot;f(x)=x^2 for all real values of x&quot; has no inverse. Isn't sqrt(x) the inverse? I like to think of a function a bit like a machine. It takes in a number, and turn...
BM
Answered by Benjamin M. • Maths tutor
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