If \('R'\) is the least value of \('a'\)such that the function \(f(x) = x^{2} + ax\  +....

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=He0ZA8imY2k



Duration: 4:28
1 views
0


If \('R'\) is the least value of \('a'\)such that the function \(f(x) = x^{2} + ax\  + 1\) is increasing on \(\lbrack 1,2\rbrack\) and \('S'\) is the greatest value of \('a'\) such that the function \(f(x) = x^{2} + ax\  + 1\) is decreasing on \(\lbrack 1,2\rbrack\), then the value of \(\left| R - S \right|\) is ________? 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-06-29A wire of length \(20 \mathrm{~m}\) is to be cut into two pieces. A piece of length \(l_1\) is b....
2024-06-29The shortest distance between the point \(\left(\frac{3}{2}, 0\right)\) and the curve \(y=\sqrt{....
2024-06-29The shortest distance between the line \(x-y=1\) and the curve \(x^2=2 y\) is:....
2024-06-29If the curves \(x=y^4\) and \(x y=k\) cut at right angles, then \((4 k)^6\) is equal to...........
2024-06-29Let the function \(f:(0, \pi) \rightarrow R\) be defined by\[f(\theta)=(\sin \theta+\cos \theta)....
2024-06-29\(\max _{0 \leq x \leq \pi}\left\{x-2 \sin x \cos x+\frac{1}{3} \sin 3 x\right\}=\)....
2024-06-29The function \(f(x)=x e^{x(1-\pi)}, x \in \mathbb{R}\) is....
2024-06-29The surface area of a balloon of spherical shape being inflated increases at a constant rate. If....
2024-06-29If \(p(x)\) be a polynomial of degree three that has a local maximum value 8 at \(x = 1\) and a ....
2024-06-29Let \(f(x)=3 \sin ^4 x+10 \sin ^3 x+6 \sin ^2 x-3, x \in\left[-\frac{\pi}{6}, \frac{\pi}{2}\righ....
2024-06-29If \('R'\) is the least value of \('a'\)such that the function \(f(x) = x^{2} + ax\  +....
2024-06-29A box open from top is made from a rectangular sheet of dimensiona \(a \times b\) by cutting squ....
2024-06-29Let \(f(x)=2 x+\tan ^{-1} x\) and \(g(x)=\log _e\left(\sqrt{1+x^2}+x\right), x\) \(\in[0,3]\). T....
2024-06-29The number of real roots of the equation \(e^{4 x}+2 e^{3 x}-e^x-6 =0\) is:....
2024-06-29If the functions \(f(x)=\frac{x^3}{3}+2 b x+\frac{a x^2}{2}\) and \(g(x)=\frac{x^3}{3}+a x+b x^2....
2024-06-29A wire of length \(22 m\) is to be cut into two pieces. One of the pieces is to be made into a s....
2024-06-29Let \(x=2\) be a local minima of the function \(f(x)=2 x^4-18 x^2\) \(+8 x+12, x \in(-4,4)\). If....
2024-06-29Let the function \(f(x)=2 x^3+(2 p-7) x^2+3(2 p-9) x-6\) have a maxima for some value of \(x<....
2024-06-29Let \(f:(0,1) \rightarrow \mathrm{R}\) be a function defined by \(f(x)=\frac{1}{1-e^{-x}}\) and ....
2024-06-29Let \(f: R \rightarrow R\) be given by \(f(x)=(x-1)(x-2)(x-5)\). Define \(F(x)=\int_0^x f(t) d t....
2024-06-29Let us consider a curve, \(y=f(x)\) passing through the point \((-2,2)\) and the slope of the ta....