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4 years ago

-3<3x less than or equal to 9 on an number line

Mathematics

1 answer:

liraira [26]4 years ago

7 0

-3 < 3x ≤ 9
-1 < x ≤ 3

hope it helps

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Find the equation of the tangent line to the curve at the given point?

Over [174]

Answer:

The equation of the tangent line

$y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )$

Step-by-step explanation:

Step(i):-

Given function y = x cot (x) ....(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = x (-Co sec^{2} (x)) +cot(x) (1)$

Step(ii):-

The slope of the tangent line

$\frac{d y}{d x} = -x Co-sec^{2} (x) +cot x$

$(\frac{d y}{d x} )x_{=\frac{\pi }{4} } = -\frac{\pi }{4} Co-sec^{2} (\frac{\pi }{4} ) +cot \frac{\pi }{4}$

We will use trigonometry formulas

$Cosec(\frac{\pi }{4} ) = \sqrt{2}$

$sec(\frac{\pi }{4} ) = \sqrt{2}$

$Cot(\frac{\pi }{4} ) = 1$

Now the slope of the tangent

$\frac{dy}{dx} =-\frac{\pi }{4} (\sqrt{2})^{2} )+1$

$\frac{dy}{dx} =-\frac{\pi }{2} +1$

Step(iii):-

Given

Substitute $x=\frac{\pi }{4}$ in y = x cot (x)

$y = \frac{\pi }{4} cot (\frac{\pi }{4} )$

$y = \frac{\pi }{4}$

The point of the tangent line $(x ,y ) = (\frac{\pi }{4} , \frac{\pi }{4} )$

The equation of the tangent line

$y - y_{1} = m ( x - x_{1} )$

$y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )$

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A landscape designer has a drawing of a flower bed that measures 6inches by 9 inches. The owner wants the actual flower bed to b

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How can you write the prime factorization and find the greatest common factor and least common multiple of two numbers?

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Https://vm.tiktok.com/ZMeh8q4cP/ valid?

Harlamova29_29 [7]

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4 years ago

Read 2 more answers

Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edg

Andreas93 [3]

3 3/4 -2 1/2=
15/4-5/2=
15/4-5/2*2/2=
15/4-10/4=
5/4=

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5/4 / 2/1=5/8 inches from the edge

I think this is correct. Hope it helps

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3 years ago