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Relation and FunctionsQuestion and Answers: Page 5 |
f(x)+ f((1/(1−x))) = 1+(1/(x(1−x))) f(x) = ?? |
f(x)=((−ln∣x∣)/x)+x−2 , g(x)=−x^2 +1−ln∣x∣ Calculate the derivative of f(x) as a function of g(x) |
let f(x) = x+(2/(1.3))x^3 +((2.4)/(1.3.5))x^5 +((2.4.6)/(1.3.5.7))x^7 +......... ∀x∈(0,1) the value of f((1/( (√2)))) = ? |
Let f:R→R be polynomial function satisfying f(x) f((1/x))=f(x)+f((1/x)) and f(3)=28, then f(x) is |
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if x+(1/x)=cosθ find x^n +(1/x^n ) interm of θ |
Let f(x)=((2x−7)/(x+1)) . Compute f^(1989) (x). note f^2 (x)= f(f(x)) |
If the function f is continuous in [a,b] express lim_(n→∞) (1/n)Σ_(k=1) ^n f((k/n)) as a definite integral. |
let f(x)=e^(−x) arctan(2x) find f^((n)) (0) |
Σ_(n=2) ^(n=∞) ((3/4))^n cos (180°n)= ? |
f(x^2 − 3) = (√(x − 5)), f((√(21))) = ? |
f((1/x))+f(1−x)=x f(x)=? |
f(x+f(x))=3f(x) and f(−1)=7 faind f(27)=? |
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{ ((f(3x−1)+g(6x−1)=3x)),((f(x+1)+x g(2x+3)=2x^2 +x)) :} f(x)=? |
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∫_2 ^( 4) ((√(ln(9−x)))/( (√(ln(9−x)))+(√(ln(3+x))))) dx |
etudier la continuite de [ x ] − (√(x − [ x ])) |
Given: x.p(x−1)=(x−5).p(x) and p(−1)=1. Find p((1/2)). |
find Σ_(n=1) ^∞ (((−1)^n )/(n^3 (2n+1)^4 )) |
Find range of function y=((cos 4x+4sin 4x+1)/(cos 4x+2)) |
Use the binomial theorem to write the first four terms of the expansion of (√(2+3x−x^2 )) |
f^( 3) (x)+x^2 f(x)=2x^3 +4x^2 +3x+1 ∀x∈R |
sin(√(1+π^2 n^2 )) ∼ (((−1)^n )/(2πn)) ? |
Let f(x)= sin^3 (2x) for −(π/4)≤x≤(π/4) then Df^(−1) ((1/8))=(a/(b(√b))) so { ((a=?)),((b=?)) :} |