If n is a positive integer, prove that d/dx (\sin^n x \cos nx) = n \sin^{n - 1} x \cos ( n+ 1 ) x. If n is a positive integer, show that: d/dx (sin^n x cos nx) = n sin^{n-1} x cos(n+1...
GMAT数学题For all positive integers m and v,the expression m Θ v represents the remainder when m is divided by v.What is the value of A.-10B.-2C.8D.13E.17Answer:D感激不尽 答案 这个很简单的,就一道高中数学题,你试想一下,把26个字母对应成一串数字,结果就出来了.简单的说,我们把1-26...
3. For any positive integer n, let d(n) denote the number of positive divisors of n (including1 and n itself). Determine all positive integers k such that d(n)for some n.(BLR)3.对任给的正整数n,令d(n)表示n的正因数(包含1及n本身)的个数.试确定所有可能的正整数k,使得有一个正整...
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To analyze the statements given in the question, we need to understand the implications of each statement and how they relate to one another. Let's denote the statements as follows:- P: m divides n (m | n) - Q: m divides n² (m | n²) - R:
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of ((98Θ33)Θ17)-(98Θ(33Θ17)) ? 选项: A、-10 B、-2 C、8 D、13 E、17 答案: D
M denotes the product of the integers 1 through M. What is the largest integer n for which 5n is a factor of the sum 98!+99!+100! ?( ). A. 23B. 24C. 25D. 26E. 27相关知识点: 试题来源: 解析 D 用阶乘记号M!表示从1到M的正整数的乘积.则98!+99!+100!中最大的5n因数,其中n...
This is because n and n-2 are both odd, and by property (F2), any smaller odd positive integer k will give T(k)≤q T(n-2)≤q 2010 and any larger odd positive integer m will give T(m)>T(n)>2010 . We show that N =309 is the desired value of N by showing tha t T(309...
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This time, you are supposed to find A+B where A and B are two matrices, and then count the number of zero rows and columns. 输入: The input consists of several test cases, each starts with a pair of positive integers M and N (≤10) which are the number of rows and columns of ...