Chapter 9.4, Problem 50E

Find the average rate of change of f(x)=x2x on the interval [1,9] .

When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream After t minutes is given by C(t)=0.06t0.0002t2 where 0t240 and concentration is measured in mg/L .When is the maximum serum concentration reached, and what is that maximum concentration?

Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?

Decide whether you can find each integral using the formulas and techniques you have studied so far. Explain. (a) ∫2dx / √(x2 + 4)        (b) ∫dx/x√(x2 − 9)

x? - 29x +5 dx (x – 4)* (x² + 3)*

Q4

MATH MASH Evaluate the following. 21. (2x +1)(2x* + 3x - 4) dx 22.)(x +6x - ) (x +3) dx 2,3. (2x-1)(5x- Sx+4)' dx 24.(3x +4) x de 25.) S(2 +x")* x'dkx 26. S X dx (x* +3) x dx 27. | (3x² - 7) (2x-3) 28.)/ dx 3 (x' - 3x+1) x'dx 29. | x* + 2 3 30. xVx -7dx 2 6x°dx 31. Vx'+2 3 (x + 2) dx 32.) (x²+4x+1) 2.

2x + 73 dx Evaluate I = | q²+ 4x + 7`

Gaussian functions G.1 G.2 G.3 G.4 G.5 G.6 G.7 G.8 8 S 8 0 e-ax² 8 1 [["new" daw ! dx= 0 2a dx= 8 [x²e-dx-1(5) x²e-ax² dx = 4 1 T erfz= 8 S™ 0 11 S x³e-ax² dx= 0 0 2 a 2 3 [x²e-max->()" x¹e-ax² dx= 1 2q² So 1/2 1/2 e-x² dx 1/2 TC¹ m! x² ₂2m+1e¬ax² dx = 2qm+1 x²me-ax² dx = 1/2 erfc z=1-erf z (2m-1)!! T 2m+1 am (2m-1)!!=1×3×5...×(2m-1) (1) a 1/2