1.Given is the function f(x) =根号下(5x + 4)
Calculate the equation of the normal on the graph of f in point A
with x-coordinate 9
(帮忙翻译一下,是让求当x=9时的函数值吗?)
2.Given is the function f(x) =2^2x-1 Df = [-1,2]
a. Draw the graph of f:
The mirror of the graph of f in the y-axis is the graph of a function g.
b. Give the function g
The line x = a,a 属于 [-1,2] intersects the graph of f in A
The horizontal line through A intersects the graph of g in B.
Find the equation of the line AB when AB is 1.
(没怎么看懂这道题,mirror让我很费解。如果可以的话请帮我翻译出来并解答吧...)
3.Given are the following sets
A = {x 属于R |x is multiple of 4 ^ x < 42}
B = {x 属于R |x is multiple of 5 ^ x < 56}
a. Calculate: P(A|B)
b. Calculate: P(B|A)
(卷子上R是空心的,但我想就是实数而已应该没什么影响吧...)
4.其实不是题,而是两个小疑问。
turning point和inflection point有什么区别呢?我觉得后一个是拐点,应该是求使二阶导数为零的点吧?turning point是使一阶倒数为零的点吗?
最后一个问题,extremes;maxima(minima)是不是分别为极值和最值?
问题比较多,希望可以得到详细的解答,谢谢好心人了(*^__^*)
第二道题里f(x) =2^(2x-1),就是2的2x-1次方...