[微甲] 貴美習題(7-5~7-6)
貴美習題又來啦
()是要交的 *是第六版沒有的
7-5
第六版
3 (9) 13 (20)
第五版
* (*) ** (**)
7-6
第六版
7 10 (13) 25 (30) 31 (35) (39) 56 (46) (51) (54) 58 61 (63) (67) (69)
(74) (77)
第五版
7 10 (13) 25 (**) 31 (35) (39) 56 (46) (51) (54) ** 61 (**) (67) (69)
(74) (77)
以下是第五版沒有的
第六版
7-5 第3題
A becteria culture initially contains 100 cells and grows at a rate
proportional to its size. After an hour the population has increased
to 420.
(a) Find the expression for the number of becteria after t hours.
(b) Find the number of becteria after 3 hours.
(c) Find the rate of growth after 3 hours.
(d) When will the population reach 10,000?
第9題
The half-life of cesium-137 is 30 years. Suppose we have a 100-mg sample.
(a) Find the mass that remains after t years.
(b) How much of the sample remains after 100 years?
(c) After how long will only 1mg remain?
第13題
A roast turkey is taken from an oven when its temperature has reached
85 ℃ and is placed on a table in a room where the temperature is 22℃.
(a) If the temperature of hte turkey is 65℃ after half an hour, what is
the temperature after 45 minutes?
(b) When will the turkey have cooled to 40℃?
第20題
(a) How long will it take an investment to double in value if the
interest rate is 6% compounded continuously?
(b) What is the equivalent annual interest rate?
7-6
第30題
Find the derivative of the function. Simplify where possible.
y = arctan √{(1-x)/(1+x)}
第58題
Find f(x) if f'(x) = 4 / (√(1-x^2)) & f (1/2) = 1
第63題
Evaluate the integral.
∫ (1+x)/(1+x^2) dx
有錯要跟我說喔~~~
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