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antiseptic1488 [7]
3 years ago
12

Which is an exponential growth function

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Step-by-step explanation:

what exactly are you asking

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Show that tangent is an odd function.Use the figure in your proof.
svlad2 [7]

We have to prove that the tangent is an odd function.

If the tangent is an odd function, the following condition should be satisfied:

\tan(t)=-\tan(-t)

From the figure we can see that the tangent can be expressed as:

We can start then from tan(t) and will try to arrive to -tan(-t):

\begin{gathered} \tan(t)=\frac{\sin(t)}{cos(t)}=\frac{y}{x} \\ \tan(t)=\frac{-(-y)}{x}=\frac{-\sin(-t)}{\cos(-t)} \\ \tan(t)=-\frac{\sin(-t)}{\cos(-t)} \\ \tan(t)=-\tan(-t) \end{gathered}

We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.

7 0
1 year ago
Which expression is equivalent to 16³? <br>2⁷ <br>2¹¹ <br>2¹² <br>2⁶⁴​
aleksklad [387]

Answer:

2^12

Step-by-step explanation:

16^3 can be rewritten as (2^4)^3 which can then be rewritten as 2^12 by multiplying the exponents

7 0
2 years ago
the height of an equivalent triangle is 15cm and it's perimeter is 36cm find the area of the triangle​
OlgaM077 [116]

Answer:

The area is 72 cm².

Step-by-step explanation:

Since it is equivalent triangle

h = b

so,

b + b + b (since all sides are equal)= 36 cm

3b = 36 cm

or, b = 36/3

so, b = 12 cm

so

area of triangle = (1/2)×b×h

= (1/2)×12cm×12cm

= 6cm × 12cm

= 72 cm²

4 0
3 years ago
A square garden has an area of 1,600 square feet. How long is each side of
kiruha [24]

Answer:

40

Step-by-step explanation:

why? because 40x40=1600

6 0
3 years ago
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 241 cubic units.
kifflom [539]

Answer: 6 units

Step-by-step explanation:

8 0
3 years ago
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