1If f is an odd function and g is an even function must g o f be an oddfunction or an even function?What about f o Solve the equation 2 sin2 x+sinx = 1 for all values of x between 0 and 2πradians.没做过fog的题,明天需要用,符号没打上,2 sin^2 x+sinx = 1是根号2, 2【...
解析 f is an odd function, so f(-x)=-f(x). g is an even function, so g(-x)=g(x). Then (f⚬g)(-x)=f(g(-x))=f(g(x))=(f⚬g)(x). So f⚬g is even. Also, (g⚬f)(-x)=g(f(-x))=g(-f(x))=g(f(x))=(g⚬f)(x), so g⚬f is even....
aMany waveform of practical interest are either even or odd functions of time. If f (t) is even then by definition f(t) = f( - t) , whereas if it is odd f(t) = -f( - t) is even and we multiply it by the odd function sinnw1t the result is also odd. Thus the integrand...
百度试题 结果1 题目Determine whether the function is even, odd, or neither. A. even B. odd C. neither 相关知识点: 试题来源: 解析 C 反馈 收藏
试题来源: 解析 【解析】Assume that f is even. Then.f(-x=lim_(h→0)(f(-x+h)-f(-x))/h =lim_(h→0)(f(x-h)-f(x))/h. and substituting k =-h=lim_(h→0)(f(x+k)-f(x))/(-k) =-lim_(k→∞)(f(x+k)-f(x))/k=-f'(x)So. f' is an odd function. ...
To determine whether the given functions are even, odd, or neither, we will follow the definitions of even and odd functions:- A function
百度试题 结果1 题目Determine whether each graph is the graph of an even function, an odd function, or a function that is neither even nor odd. 相关知识点: 试题来源: 解析 neither even nor odd 反馈 收藏
Prove: b is an odd function1. b(x)=-a(x) (Given)2. a is an odd function (Given)3. a(-x)=-a(x) (Def. odd function)4. b(x)=a(-x) (Trans. Prop. of Equality using 1 and 3)5. b(-x)=-a(-x) (Substitute -x for x in 1)6. -b(-x)=a(-x) (Div. Prop. of...
14. Suppose that f(x)is an odd function defined in R and its graph is symmetric with respect to the line x=1,and f(x)=x for 0≤x≤1.Then the expression of f(x)is ( ) (A)1 k∈Z). 3 (B) ∈Z). (C) Z). (D) ∈Z). (英汉词典:odd function 奇函数;to define 定义;...
Suppose that f is an odd function; i.e., f(-x)=-f(x) for all x. Suppose that f'(x_0)