Differentiation – Page 131

x-1-h-x-dx-x-3-sin-2x-x-2-1-c-h-1-

Tinku Tara June 4, 2023 Differentiation 0 Comments

Question Number 144389 by liberty last updated on 25/Jun/21 $\int (x - 1) h (x) dx = x^{3} - \sin 2 x + \sqrt{x^{2} + 1} + c$ $\Rightarrow h^{'} (1) = ?$ Answered by mathmax by abdo last updated on 25/Jun/21…

Evaluate-0-sin-x-1-3-log-1-x-x-dx-

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Question Number 144351 by mnjuly1970 last updated on 24/Jun/21 $E v a l u a t e ::$ $ϕ := \int_{0}^{\infty} \frac{s i n \sqrt[3]{x}) l o g (\frac{1}{x})}{x} d x = ?$ $$ \…

Nice-Calculus-Find-the-value-of-n-1-1-4-n-cos-2-pi-2-n-2-

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Question Number 144311 by mnjuly1970 last updated on 24/Jun/21 $\dots \dots Nice \dots . Calculus \dots \dots$ $Find the value of ::$ $Θ := \underset{n = 1}{\sum^{\infty}} \frac{1}{4^{n} {c o s}^{2} (\frac{π}{2^{n + 2}})} = ?$ $$\:\:\:\:……….…

Question-144301

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Question Number 144301 by liberty last updated on 24/Jun/21 Answered by imjagoll last updated on 24/Jun/21 $we convert the rate of 2 t + 3 liters$ $per minute to 60 (2 t + 3) = 120 t + 180$ $liters per hours . The total amount$ $of water in the tank at time T$ $$\mathrm{hours}\:\mathrm{past}\:\mathrm{noon}\:\mathrm{is}\:\mathrm{the}\:\mathrm{integral}…

if-x-3-y-3-3axy-find-dy-dx-in-terms-of-x-and-y-and-prove-that-dy-dx-cannot-be-equal-to-1-for-finite-values-of-x-and-y-except-x-y-please-help-

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Question Number 13226 by chux last updated on 16/May/17 $if x^{3} + y^{3} = 3 axy, find dy / dx in terms$ $of x and y and prove that dy / dx$ $cannot be equal to - 1 for finite$ $values of x and y except x = y .$ $$\mathrm{please}\:\mathrm{help}\: \…

Find-among-all-right-circular-cylinders-of-fixed-volume-V-that-one-with-smallest-surface-area-counting-the-areas-of-the-faces-at-top-and-bottom-

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Question Number 144200 by bramlexs22 last updated on 23/Jun/21 $Find, among all right circular$ $cylinders of fixed volume V$ $that one with smallest surface area$ $(counting the areas of the faces$ $at top and bottom)$ Answered by MJS_new last updated…

If-y-x-1-3-Find-dy-dx-from-the-first-principle-

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Question Number 13068 by tawa tawa last updated on 13/May/17 $If y = \sqrt[3]{x} Find \frac{dy}{dx} from the first principle$ Answered by ajfour last updated on 13/May/17 $$\frac{{dy}}{{dx}}=\underset{{h}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\left({x}+{h}\right)^{\mathrm{1}/\mathrm{3}} −{x}^{\mathrm{1}/\mathrm{3}} }{{h}} \…

2xsin-2x-2x-sin-2x-2-dx-

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Question Number 78581 by john santu last updated on 18/Jan/20 $\int \frac{2 x \sin 2 x}{{(2 x - \sin 2 x)}^{2}} d x ?$ Commented by john santu last updated on 19/Jan/20 $c o n s i d e r$ $$\frac{\mathrm{2}{x}\:\mathrm{sin}\:\mathrm{2}{x}}{\left(\mathrm{2}{x}−\mathrm{sin}\:\mathrm{2}{x}\right)^{\mathrm{2}}…

f-x-y-x-y-2-x-2-y-2-f-u-f-v-x-uv-y-u-v-

Tinku Tara June 3, 2023 Differentiation

Question Number 424 by 123456 last updated on 25/Jan/15 $f (x, y) = \frac{{(x + y)}^{2}}{x^{2} + y^{2}}$ ${\begin{cases} \frac{\partial f}{\partial u} = ? \\ \frac{\partial f}{\partial v} = ? \end{cases}$ ${\begin{cases} x = u v \\ y = u + v \end{cases}$ Answered by prakash jain last updated…

In-1790-the-population-of-the-United-States-was-3-93-million-and-in-1890-it-was-62-98-million-Using-the-Malthusian-model-estimate-the-U-S-population-as-a-function-of-time-

Tinku Tara June 3, 2023 Differentiation

Question Number 131481 by bemath last updated on 05/Feb/21 $In 1790 the population of the$ $United States was 3.93 million$ $and in 1890 it was 62.98 million$ $Using the Malthusian model,$ $estimate the U . S population as$ $a function of time$ Answered by EDWIN88…

Category: Differentiation