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2 years ago

Why do i have depression

Mathematics

1 answer:

Goshia [24]2 years ago

7 0

Answer:

are u ok tho

Step-by-step explanation:

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FACTOR ALL OF THE EQUATIONS INTO "y = (x-h)^2 + k," AND THE EQUATION'S VERTEX IS (h,k)

10. y = (x+2)^2 - 11 --> (-2, -11)

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13. y = -2(x+2)^2 + 5 --> (-2, 5)

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3 years ago

Ley y = tan x. (a) Find the differential dy.(b) Evaluate dy and Δy if x = π/4 and dx = −0.1. (Round Δy to four decimal places.)

amm1812

Answer:

Required differential (a) $dy=-0.0002\times10^{3}$ and (b) $\Delta y=-0.3370$ .

Step-by-step explanation:

Given,

$y=\tan x$

Let, $y=f(x)=\tsn x\hfill (1)$

(a) To find differential,

$dy$ differentiate (1) we get,

$dy=\sec^2 x dx$

when, $x=\frac{\pi}{4}$ and dx=-0.1, then

$dy=\sec^2(\frac{\pi}{4})\times (-0.1)=-0.2$

$dy=-0.0002\times 10^{3}$ (Correct upto four decimal places)

(b) To find,

$\Delta y=\Delta f(x)=f(x+h)-f(x)$ ( where h=dy)

when $x=\frac{\pi}{4}, dx=h=-0.1$

$\therefore \Delta y=\tan (\frac{\pi}{4}-0.2)-\tan \frac{\pi}{4}$

$=-0.3370$

Correct upto four decimal places.

4 0

3 years ago