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laiz [17]
3 years ago
14

Lim as x approaches pi/4:

Mathematics
1 answer:
lozanna [386]3 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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Write a number in which value of the digit 3 is 10 times as much as the value of the digit 3 in 942381 show your thinking.
choli [55]

Answer:

943,281

Step-by-step explanation:

Just move the 3 up a value

If it's in the ten's place, then move it to the hundred's place value.

If it's in the hundred's place, then move it to thousand's place value.

So on and so on...

8 0
4 years ago
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PLEASE ANSWER THIS QUESTION <br>Show that 4x – 7 is equivalent to 4(x - 1) – 3 when x = 3.​
Drupady [299]

Answer:

4(3) - 7 = 4(3 - 1) - 3

12 - 7 = 4(2) - 3

5 = 8 - 3

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They are equivalent because when they are both simplified they have the same answer 5

7 0
3 years ago
Find the surface area of the cylinder. radius of 6. height of 7.
Sauron [17]

Answer:

SA = 156π

Step-by-step explanation:

The formula for surface area of a cylinder is

SA = 2πr² + 2πrh   where r is the base radius, and h is the height.

We are given r = 6 and h = 7.  Plug in those values and evaluate...

SA = 2π(6²) + 2π(6)(7)

SA = 2π(36) + 2π(42)

SA = 72π + 84π

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3 0
3 years ago
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2m² + 10 for m = -6<br><br><br> Help please
lbvjy [14]

Answer:

82

Step-by-step explanation:

2×m²+10

m²= -6×-6=36

36×2=72+10=82

7 0
3 years ago
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What is -1 7/8 + -2 1/4? Please explain why and a step by step :).
olya-2409 [2.1K]

9514 1404 393

Answer:

  -4 1/8

Step-by-step explanation:

Many people find it easier to factor out -1, then do the addition. The fractions need a common denominator before they can be added. A suitable denominator that is a multiple of both 4 and 8 is 8.

The fraction 1/4 = (1/4)(2/2) = (1·2)/(4·2) = 2/8.

__

So, the problem can be rewritten as ...

  -(1 7/8 +2 2/8)

  = -((1+2) +(7/8 +2/8))

  = -(3 +9/8)

The fraction 9/8 is an improper fraction equal to 8/8 +1/8 = 1 1/8. Then the sum is ...

  -(3 +1 1/8) = -4 1/8

8 0
3 years ago
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