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Poiseuille’s law asserts that the speed of blood that is r centimeters from the central axis of an artery of radius S(r)=c(R^2-r^2), where c is a positive constant. Where is the speed of the blood greatest?
A right cylinder has a fixed height of 6 units find the rate of change of the total surface area A with respect to r.
Determine the critical numbers of the given function and classify each critical point as a relative maximum, a relative minimum, or neither. f(t) =(t^2)/t^2+t-2
Poiseuille’s law asserts that the speed of blood that is �џ centimeters from the central axis of an artery of radius �х is �ц(�џ)=�ѐ(�х2−�џ2), where �ѐ is a positive constant. Where is the speed of the blood greatest?
The dimensions of a box are b, b+1, b+4. Find how fast the volume increases as b increases
For each of the following functions determine the inverse image of T = {x ∈ R : 0 ≤ x 2 − 25}.
1. f : R → R defined by f(x) = 3x3.
2. g : R + → R defined by g(x) = ln(x).
3. h : R → R defined by h(x) = x − 9.
Let f : Z → Z be defined by f(a) = 2a 2 − a and g : Z → Z be defined by g(x) = x(2x − 1). Determine whether f is equal to g. Justify your answer.
For each of the following functions determine the inverse image of T = {x ∈ R : 0 ≤ x 2 − 25}.
1. f : R → R defined by f(x) = 3x3.
2. g : R + → R defined by g(x) = ln(x).
3. h : R → R defined by h(x) = x − 9.
Absolute extrema in closed interval
a. h(x)=x²-2x, [0,4]
b. f(x)= (2x+5)/3, [0,5]
Q. Write down 10 uses of Surface Integration.
