pi value

41. 10CI- (O(/) + 2MnO 4 " ((li/> + I6H + (iYi/) -> ? . 5CI 2te) + 2Mn* (rt| ,+ 8H 2 0 (l , The value of E for this reaction 25C is 0.15 V. What is the value of A" for this reaction (a) 2.4 x 10 25 (b) 4.9 x IO 12 (c) 1.2 x 10 5 (d) 3.4 x 10 2 42. When water is electrolyzed, hydrogen and o..

maxima and minima: extreme values

A function $f(x)=\sin x$ said to have a maximum (or local maximum) at$x=c,$ if $f(x)\leq f(c)$in some suitably small neighbourhood of$c$. Similarly, $f(x)$ is said to have a minimum (or, local minimum) at$c$, if$f(x)\geq f(c)$ in some suitably small neighborhood of $c$. The term extreme value or turning value covers both the..

numerical value of r

Inverse trigonometric functions have an infinite number of values. For example if $\sin\theta=\frac{1}{\sqrt{2}},then\theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$ $\Rightarrow\sin^{-1}\frac{1}{\sqrt{2}}=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\h..

principal value of an inverse function

The ranges of the inverse trigonometric functions found in the definitions, given above are called the ranges of the principal value of the inverse functions. (The inverse trigonometric functions are also called inverse circular functions. Thus, the principal value of $\sin^{-1}x,\tan^{-1}x,\tan^{-1}x,cosec^{..

p value calculator

$ (ordinates are all positive) and hence the area is regarded positive; between $x=\pi$ and $x=2\pi$, the curve lies below the x- axis(ordinates are all negative) and so the corresponding part of the area is considered negative; the algebraic sum of these two is zero. So ${\displaystyle \int_{0}^{2\pi}\sin xdx}$ gives..

net positive value

> The coupled exergonic-endergonic process with the overall net exergonic reaction can be explained with reference to the synthesis of gIucose-6-phosphate coupled to the hydrolysis of ATP (e.g. adenosine triphosphate). In reaction (1) the value ot AG is positive showing the reaction to be endergonic which cannot proceed spontaneously. Bu..

problems based on extreme values

Problems Based on Extreme values of $\sin x$ and $\cos x$ Example 1. Solve $2{\displaystyle \cos^{2}\frac{x}{2}\cdot s\mathrm{in}^{2}x=x^{2}+\frac{1}{x^{2}},0<x\leq\pi/2}$. Solution. In this problem, terms on the two sides of the equation are different in nature. L.H.S. is in trigonometric for..

measuring rf values

. The ratio of heat produced in series and parallel combination would be (a) 1:2 (b) 2:1 (c) 1:4 (d)4:l Ans: (c) Hint: Resistance of both the wires is R. Effective resistance in series combination 5. How is a voltmeter connected in the circuits to measure the potential difference between two points? Ans: The voltmeter is connected in parallel to t..

normal critical values

$\theta$ is (1) $\theta$ (2) $(\theta+2)$ (3) $\theta(\theta+2)$ (4) $\theta(\theta-2)$ 22. The equations of the common tangent and common normal to the curves$x^{2}+y^{2}=a^{2}$ and $x^{2}-y^{2}=a^{2}$ are respectively (1) $x=0,\; y=0$ (2) $x=\pm a,\; y=0$ (3) $x=\pm a,\; y=\pm b$ (4) $x=0$ and $y=\pm a$ 23. The curve $y-e^{xy}+x=0$ has a vertica..

rolle's theorem mean value theorem

$e^{x}\sin x=f (x)$ is continuous in $0\leq x\leq\pi.$ (ii) $f '(x)=e^{x}\sin x+e^{x}\cos x=e^{x}(\sin x+\cos x)$ exists in $0<x<\pi.$ (iii) $f(0)=e^{0}\sin0=0,f(\pi)=e^{\pi}\sin\pi=0$ $\therefore f(0)=f(\pi).$ Since f ( x ) satisfies all the three conditions of the Rolle's theorem, there exists at lea..

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