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m_a_m_a [10]
3 years ago
8

Find the derivative of the function. y = sin−1(6x + 1)

Mathematics
1 answer:
liraira [26]3 years ago
7 0

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}}

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What is fractions on a lineplot question 5
Ghella [55]

So, we know that

4/5n = 2/3

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The answer is Fraction 5 over 6 hopes this help

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3 years ago
In circle S with mZRST = 86 and RS = 4 units find area of sector RST. Round to
Andru [333]

Answer:

Area = 12.00

Step-by-step explanation:

Given

\theta = m\angle RST = 86^o

r = RS = 4

Required

Area of RST

The sector area is calculated using:

Area = \frac{\theta}{360} * \pi r^2

So, we have:

Area = \frac{86}{360} * 3.14 *4^2

Area = \frac{86* 3.14 *4^2}{360}

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8 0
3 years ago
Solve the polynomial x² - 7x + 12 = 0 Show each step used to find the solutions.
umka2103 [35]

Answer:

x=4 and x=3

Step-by-step explanation:

The first step to find all factors of 12

1,2,3,4,6,12

and their negative form

-1,-2,-3,-4,-6,-12

we must add two of these numbers to get -7

and the two numbers that add up to -7 are -3 and -4

we can simply plot them into the polynomial (x-3)(x-4)

since x-3=0

we add three to both sides to get x=3

and since x-4=0

add four to both sides

we get x=4

and now check out work which

we can use First out in last (foil) method

(x-3)(x-4)

first

x^2

out

-4x

in

-3x

last

12

now we simplify to get x^2-7x+12

so it x=4 x=3 works

6 0
3 years ago
Read 2 more answers
Please help asap !!!!find f(-2) for f(x)=2*3^x
vovangra [49]

Answer:

2/9

Step-by-step explanation:

f(x)=2*3^x

Let x=-2

f(-2) = 2 * 3^(-2)

When the exponent is negative, it flips from the numerator to the denominator

      = 2 * 1/(3^2)

      = 2 * 1/9

     = 2/9

6 0
3 years ago
Read 2 more answers
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