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BARSIC [14]
3 years ago
14

PLEASE HELP ME !!! 35 POINTS

Mathematics
1 answer:
butalik [34]3 years ago
5 0
D. Corrresponding. ........
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Find the derivative of the function. y = sin−1(6x + 1)
liraira [26]

If you don't know the derivative of the inverse of sine, you can use implicit differentiation. Apply sine to both sides:

y=\sin^{-1}(6x+1)\implies\sin y=6x+1

(true for <em>y</em> between -π/2 and π/2)

Now take the derivative of both sides and solve for it:

\cos y\dfrac{\mathrm dy}{\mathrm dx}=6

\dfrac{\mathrm dy}{\mathrm dx}=6\sec y

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\cos\left(\sin^{-1}(6x+1)\right)}

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\sqrt{1-(6x+1)^2}}

7 0
3 years ago
Solve for xxx. Your answer must be simplified. \dfrac x{-6}\geq-20 −6 x ​ ≥−20
Tems11 [23]

Answer:

x ≤ - 27

Step-by-step explanation:

\frac{x}{-9}\ge \:3\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\frac{x\left(-1\right)}{-9}\le \:3\left(-1\right)\\\\Simplify\\\\\frac{x}{9}\le \:-3\\\\\mathrm{Multiply\:both\:sides\:by\:}9\\\\\frac{9x}{9}\le \:9\left(-3\right)\\\\\mathrm{Simplify}\\\\x\le \:-27

7 0
3 years ago
Solve -2.5n + 8.7 &gt; 5.45.
AlexFokin [52]
A. n<1.3

-2.5n+8.7>5.45
subtract 8.7 from both sides
-2.5n>-3.25
divide -2.5 from both sides 
(since you divided by a negative you flip the sign!!)
n<1.3


5 0
3 years ago
Carry out the following division.​
kifflom [539]

Answer:

1: 8a²

2: 9a²b²c²

Step-by-step explanation:

1: 48a³ ÷ 6a

48÷6 = 8

8a²

2: 72a³b⁴c⁵ ÷ 8ab²c³

72÷ 8 =9

9a²b²c²

4 0
2 years ago
Read 2 more answers
The women of latvia are the tallest in the world with an average height of 170 cm, which is what in feet and inches?.
Leto [7]

Step-by-step explanation:

Convert the given value in cm into feet and inches.

<u>Use the unit rates:</u>

  • 1 foot = 30.48 cm
  • 1 inch = 2.54 cm

<u>Convert:</u>

  • 170 cm = 170/30.48 feet = 5.58 feet (rounded)
  • 170 cm = 170/2.54 inches = 66.93 inches

or

  • 170 cm = 5 feet and 17.6 cm = 5 feet and 7 inches (rounded)
6 0
3 years ago
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