How large should n be to guarantee that the Simpson's Rule approximation to to (₁ 15ex² nz dx is accurate to within 0.00001?

How large should n be to guarantee that the Trapezoidal Rule approximation to 14x – 60z? – læ + 3)dx is accurate to within 0.1. 5 n = How large should n be to guarantee that the Simpsons Rule approximation to | (-24 – 14x – 60z? – læ + 3)dx is accurate to within 0.1. n = Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n

A typical human heart pumps 70 milliliters (mL) of blood with each heartbeat. Assuming a heart rate of 60 beats per minute, a reasonable model for the outflow rate is V'(t) = 70(1 + sin(2πt), where V(t) is the amount of blood in mL pumped since time 0, and t is measured in seconds. 1. Use the FTC to verify that the amount of blood pumped in the first second is 70 mL. 2. Sketch a picture of V'(t) for 0 ≤ t ≤ 2 and explain your answer to 1. geometrically. 3. Find V(T), the amount of blood pumped up to time T.

Suppose ?∼Geom(?) V ∼ Geom ( p ) with ?= p = 0.64 and that ?=2? W = 2 V . Find ℙ(?≥8) P ( W ≥ 8 ) , giving your answer correct to two decimal places