Recently Active Calculus Questions

Q2)When we shift the graph of(x) through a towards left, we transform f(x) to f(x-a).Say funct be y=x.If I change it to y=(x-1). first f(2)=2, f(3)=3 f(4)=4.Now (3)=2 f(4)=3 f(2)=1.this means initially, 2 was the value for 2 ...

if 1-x2 + 1-x2 = a(x-y), prove that dy/dx= 1-y2 / 1-x2 ...

Plz help me on this one............ ∫(sinθ-cosθ)dθ/{(Sinθ+cosθ) (sinθcosθ+sin2θcos2θ)}= cosec-1{f(θ)}+c then f(θ)=???? ...

Sketch following functions *Image* ...

\lim_{x\rightarrow0}\frac{e^\frac{-1}{x}}{x} I Cannot Solve it ! I Even Dont Know The Answer ! ...

Q1 Statement 1: \int e^x(log_{e}x + \frac{1}{x^2}) dx = e^x (log_{e}x - \frac{1}{x}) + C Statement 2: \int e^x (f(x) + f^{ '}(x)) dx = e^x f(x)+ C Answer: Both are true and 1 is correct explanation for 2 But shouldn't Stateme ...

1.Let f(x) be a function satisfying 2f(x)-3f(1/x)=x2 for any x≠0.then the value of f(2) is.... Ans.-7/4 ...

In limit we often come across terms like 0∞,∞0etc etc. Now i give some terms .please tell whether they are determinant or determinant and their values if determinant. 1.0∞=(my ans 0) 2.∞0=(my ans 1) 3.∞∞=(my ans â ...

lim 2.x1/2 +3.x1/3 +4.x1/4+..........+n.x1/n x→∞ (3x-4)1/2+(3x-4)1/3+..........+(3x-4)1/n (WITHOUT USING L-HOSPITAL) plzzzzzzzzzz HELPPPP!!!! ...

how to identify different types of differential equation ...

f(x) = x - l x - x2 l x ε [ -1 , 1] Then the no of points at which f(x) is discontinuos (A) 2 (B) 1 (C) 0 (D) None ...

*Image* @Q1 its only tan x,not tan2x ...

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a function f(x) satisfies f(1)=3600 and f(1)+f(2)............f(n)=n2f(n) for all +ve integers n>1 find f(9) ...

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Please solve this one for me : *Image* ...

∫ (cos2x/sin2x) ...

\texttt{find the domain of } \sqrt{2\left\{x \right\}^2 -3\left\{x \right\}+1} where {x} is fractional part dbt 2.given \left[x \right]+ \left[x+\frac{1}{n} \right]+ \left[x+ \frac{2}{n} \right]+...\left[x+ \frac{n-1}{n} \rig ...

plz solve 1) \int_{0}^{\infty}{\frac{1}{(x^2+a^2)(x^2+b^2)}}dx 2) \int_{0}^{\pi}{log(1-6cosx+9)}dx 3) \int_{0}^{1}{\frac{x^{a-1}-x^{-a}}{(1+x)logx}}dx ...

*Image* which theorem is this based on? ...

Find the limit(x→π/2) (sinx)tanx ...

Let us define two functions f (x) = ax2 + bx + c; a, b, c ∈ R & a ≠0 g (x) = dx2 + ex + f; d, e, f ∈ R & d ≠0 If both the equations has imaginary roots and real part of complex roots of both equation f(x) = 0 and g(x) ...

Lt [16-16cos(10 cos x)]/x4 x→o ...

*Image* which theorem has been used to solve this question ? I have never studied this in my NCERT. ...

Differentiate with respect to x, sec-1 x+1/x-1 +sin-1 x-1/x+1 ...

f[x]= [2Ï€-3]3 +2x-cos x Find.. ddxf-1[x]=? at x=Ï€ Note-[x] is not any greatest integer func.,just my keyboard wasn't working. ...

1)∫ sin x dx ...

lim (xy-yx)/(xx-yy) x→y ...

Find Domain of the following- \sqrt{(4-x^{2})/([x]+2)} ...

I am starting a thread after a long time - hope everyone participates [1][4] *Image* *Image* 2 > *Image* = ?????? ...