If f(0)=3 and for each integer n>=0,f(n+1)=3*f(0)*f(1)*f(2)...*f(n),then f(10)=p to the a power(p的a次方) ,for some prime p and integer a,compute(p,a).

If f(0)=3 and for each integer n>=0,f(n+1)=3*f(0)*f(1)*f(2)...*f(n),then f(10)=p to the a power(p的a次方) ,for some prime p and integer a,compute(p,a). AP微积分题If f is differentiable and difference quotients overestimate the slope of f at x=a for all h>0,which must be true?A f'(a)>0 B f'(a)0 D f''(a) 英文原版：For any polynomial f,f(a)=0 if and only if (x-a) is a factor of f(x).Please explain it in a PHYSICAL way(not in a mathematical way).大致翻译：对于任意的多项式函数f,当且仅当（x-a）是f（x）的一个因式,f(a)=0. =IF(B8>0,IF(AND(B8 1.Does formula f(x)=1/(x²-2) define a function f:R->R?A function Z->R?2.If there are 2187 function f:A->B and |B|=3.What is |A|?3.Give an example of a function f:A->B and A1,A2 in the A for which f(A1∩A2) ≠ f(A1)∩f(A2)4.If A={1,2,3,4,5} an for x >= o f(x)= x2-x how is f defined for x < 0 if (a) f is even (b) f is odd if the function f satisfies the equation f(x+y)=f(x)+f(y) for every pair of real numbers x and y,what are the possible values of f(0) A.any real numberB.any positive real numberC.0 and 1 onlyD.1 onlyE.0 only IF(AND(F>=5,G>=5),1,IF(AND(F>=1,G>=1),2,IF(AND(F IF(AND(D8>=3),103,IF(D8=0,100+D8),IF(D8=3),103,IF(D6 2道英文的数学题,1)If f (x) = ax^2 + bx + c; f (2012) = 0; f (2010) = 0 and f (0) = 8,088,240then for what value of x is f a maximum?What is the maximum value of f 2)What is the remainder when2011x^2010+ 2009x^1005+ 2005x^201+ 2003x^67+ 2001 is 关于凸函数,凹函数的证明题求助!急~~~~~!Let f(x) be a function on R^n. Prove that f is both convex and concave if and only if f(x)=(c^T)x+b for some vector c and scalar b.翻译：f(x)是R^n上一函数.证明f既是凸函数也是凹函 If the function f satisfies the equation f(x + y) = f(x) + f(y) for every pair of real numbers xand y,what are the possible values of f(0) A.Any real numberB.Any positive real numberC.0 and 1 onlyD.1 onlyE.0 only 微积分和微分方程问题Suppose f(x) is a continuous function with positive values and f(0)=1.If for any x>0,the length of the curve y=f(x) over the interval [0,x] is always equal to the area of the region below this curve and above the x-axis, Find out F(1)=?If dy/dx =1/2x,and f(e)=0 If f(x)=(3x-1)/2 and f-1 is the inverse of f,what is the value of f-1(3)? suppose that f is a continuously differentiable function and f(x/3)=f(x)/3 for all x in Ra) show that f(0)=0b) show that f ' is constant and in fact for all x,f ' (x)=f(1) C语言解读方法,一窍不通#includeint main(){int i,a,b,c,d,f[4];for(i = 0; i < 4; i++)scanf(%d,&f[i]);a = f[0] + f[1] + f[2] + f[3];a = a / f[0];b = f[0] + f[2] + f[3];b = b / a;c = (b * f[1] + a) / f[2];d = f[(b / c ) % 4];if(f[(a + b + c + Let f be a function such that f(x)=f(1-x) for all real numbers x.If f is differentiable everywhere,then f'(0)=?为什么是-f'(1)而不是f'(1)?