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BabaBlast [244]
3 years ago
7

Tangent Line h(t) = sec t / t @ (Pi, 1/pi)

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0
Take derivitive

note
the derivitive of sec(x)=sec(x)tan(x)
so
remember the quotient rule
the derivitive of \frac{f(x)}{g(x)} = \frac{f'(x)g(x)-g'(x)f(x)}{(g(x))^2}
so

the derivitive of \frac{sec(t)}{t} = \frac{sec(t)tan(t)t-(1)(sec(t))}{t^2}
so now evaluate when t=pi
we get
sec(pi)=-1
tan(pi)=0
we get
\frac{(-1)(0)(pi)-(pi)(-1)}{pi^2}= \frac{pi}{pi^2}= \frac{1}{pi}
slope=1/pi

use slope point form
for
slope=m and point is (x1,y1)
equation is
y-y1=m(x-x1)
slope is 1/pi
point is (pi,1/pi)

y-1/π=1/π(x-π)
times both sides by π
πy-1=x-π
πy=x-π+1
y=(1/π)x-1+(1/π)
or, alternately
-(1/π)x+y=(1/π)-1
x-πy=π-1
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Tom is going to turn little Quacker into roast duck! He goes to the grocery store to get some salt and pepper seasoning to his d
MAVERICK [17]

Answer:

He can buy 3 scoops of salts and 4 scoops of pepper or 4 scoops of salts and 3 scoops of pepper spent maximum.

Step-by-step explanation:

Given that:

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The cost of pepper =75 cents / scoop = $ 0.75 / scoop

Let he buys x scoops of salt and y scoops of pepper.

As he plans to bring home no more than 8 scoops of seasoning, so

x+y\leq8\cdots(i)

The total cost of x scoops of salt and y scoops of pepper = 0.5x+0.75y

As he wants to spend less than $5, so

0.5x+0.75y

Here, x\geq 0, y \geq 0 and x,y are counting numbers.

On plotting the graph of equations (ii) and (ii), the possible solution is the integral values in the shaded as shown in the figure.

The maximum possible integral values, for expances less than $5, are (x,y)=(3,4), (4,3).

Hence, he can buy 3 scoops of salts and 4 scoops of pepper or 4 scoops of salts and 3 scoops of pepper to spent maximum.

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3 years ago
 In the equality -x>5 what must you do to solve the problem
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Answer:

x < -5 (~Divide -1 to both sides)

Step-by-step explanation:

-x > 5

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julsineya [31]

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2600 yd cubed

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