2道英文导数的数学题原题1.A conveyor belt delievers coal onto a stockpile at the rate of 0.3 (m^3/s).the coal forms a conical heap with height equal to its radius .How fast is the height of the cone increasing when it consists of 20 (m^3) o
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2道英文导数的数学题原题1.A conveyor belt delievers coal onto a stockpile at the rate of 0.3 (m^3/s).the coal forms a conical heap with height equal to its radius .How fast is the height of the cone increasing when it consists of 20 (m^3) o
2道英文导数的数学题
原题
1.A conveyor belt delievers coal onto a stockpile at the rate of 0.3 (m^3/s).the coal forms a conical heap with height equal to its radius .How fast is the height of the cone increasing when it consists of 20 (m^3) of coal .
翻译：
一个传送带传以每秒0.3立方米的速度把煤传送到库存.这些煤形成一个高等于半径的圆锥.求当它有20立方米的煤,它的高增加的速度是多快.
2.
原题
The raius r cm of a circular ink spot,t seconds after it first appear ,is given by
r=(1+4t)/(2+t)
a)the time taken for the radius to double its initial value .o which r tends as t tends to infinity.
b)the value t
翻译：
半径为r厘米的圆形墨水点,t秒后第一次出现.关系式：
r=(1+4t)/(2+t)
求
a)半径是第一次到两倍所花的时间
b)当t趋向于无限大时,求r的趋向.
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2道英文导数的数学题原题1.A conveyor belt delievers coal onto a stockpile at the rate of 0.3 (m^3/s).the coal forms a conical heap with height equal to its radius .How fast is the height of the cone increasing when it consists of 20 (m^3) o
r=(1+4t)/(2+t)=f(t)
f(0)=1/2
2f(0)=1
(1+4t)/(2+t)=1
1+4t=2+t
t=1/3
a)半径是第一次到两倍所花的时间是1/3秒
r=(1+4t)/(2+t)
＝(1/t+4)/(2/t+1)
=4/1
=4
b)当t趋向于无限大时,r的趋向4
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