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laiz [17]
4 years ago
14

Lim as x approaches pi/4:

Mathematics
1 answer:
lozanna [386]4 years ago
5 0
\lim_{x \to  \pi /4}  \frac{tan x - 1}{x- \pi /4}  =  \frac{0}{0}
With L` Hospital`s Rule ( ( tan x ) ` = 1/ cos^2 x ) :
\lim_{x \to  \pi /4}  \frac{1}{cos ^{2} x} =  \\ = \frac{1}{cos ^{2} ( \pi /4)}  = \\  \frac{1}{1/2}   =  2


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The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the
jolli1 [7]
If you've started pre-calculus, then you know that the derivative of  h(t)
is zero where h(t)  is maximum.

The derivative is            h'(t) = -32 t  +  96 .

At the maximum ...        h'(t) = 0

                                       32 t = 96 sec

                                           t  =  3 sec . 
___________________________________________

If you haven't had any calculus yet, then you don't know how to
take a derivative, and you don't know what it's good for anyway.

In that case, the question GIVES you the maximum height.
Just write it in place of  h(t), then solve the quadratic equation
and find out what  't'  must be at that height.

                                       150 ft = -16 t²  +  96  t  +  6 

Subtract 150ft from each side:    -16t²  +  96t  -  144  =  0 .

Before you attack that, you can divide each side by  -16,
making it a lot easier to handle:

                                                         t²  -  6t  +  9  =  0

I'm sure you can run with that equation now and solve it.    
The solution is the time after launch when the object reaches 150 ft.
It's 3 seconds.  
(Funny how the two widely different methods lead to the same answer.)

The answer is from AL2006

6 0
4 years ago
Lucy bought a motorcycle for eight thousand dollars. The motorcycle decreases in value every year by five percent. How much shou
Harrizon [31]

Awnser:

Explanation:

4 0
3 years ago
Please help question in the picture
andreyandreev [35.5K]

Answer:

the third answer

Step-by-step explanation:

8 0
4 years ago
The slope of line is -1/3. what is an equation of a line that is perpendicular to line of t
-BARSIC- [3]

Answer:

well you have to use y=mx and plugg your numbers in

Step-by-step explanation:

sorry its not much help

6 0
3 years ago
Plz help me with my math :)
ale4655 [162]
Hi there! To find the answer, we need to try out the numbers. 3 * -3 is -9 + 0 is -9. -9 < -8. A is out. 3 * -2 is -6 + -1 = -7. -7 > -8. B works. Score! But wait. 3 * 0 is 0 + 10 is -10. -10 < -8. C is out. 3 * 2 is 6 + -16 is -10. -10 < -8. The answer is B: (-2, -1).
3 0
3 years ago
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