All categories

3 years ago

What is the d/dx tan^3x

1 answer:

6 0

$\frac{d}{dx}(tan^{3}x) = \frac{d}{dx}(tanx)^{3}$
$= 3(tanx)^{2} \cdot sec^{2}x$

$\therefore \frac{d}{dx}(tan^{3}x) = 3tan^{2}x \cdot sec^{2}x$

You might be interested in

If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that the first will

aleksandrvk [35]

Answer:

$P(T\ n\ S) = \frac{1}{14}$

Step-by-step explanation:

*Missing Part of the Question*

4 stars

5 triangles

3 circles

3 squares

Required

Determine the probability of triangle being first then square being second

$Total = 4 + 5 + 3 + 3$

$Total = 15$

Represent the triangle with T and square with S

So, we're solving for P(T n S)

$P(T\ n\ S) = P(T) * P(S)$

Solving for P(T)

$P(T) = \frac{n(T)}{Total}$

$P(T) = \frac{5}{15}$

Solving for P(S)

The question implies a probability without replacement;

Hence Total has now been reduced by 1

Total = 14

$P(S) = \frac{n(S)}{Total}$

$P(S) = \frac{3}{14}$

Recall that

$P(T\ n\ S) = P(T) * P(S)$

$P(T\ n\ S) = \frac{5}{15} * \frac{3}{14}$

$P(T\ n\ S) = \frac{15}{15 * 14}$

$P(T\ n\ S) = \frac{1}{14}$

Hence, the required probability is

$P(T\ n\ S) = \frac{1}{14}$

3 0

2 years ago

Negative 33 divided 11 as a fraction

Elodia [21]

-33 / 11 = ?

-33/11

Simplify

-3/1 would be the answer

6 0

3 years ago

Read 2 more answers

Y is directly related to x and y is 81 when x is 27 the constant of.variation is

suter [353]

Answer:

The constant of variation is 3

Step-by-step explanation:

Given.

$y=81$

$x=27$

And y is directly related to x

$y$ ∝ $x$

Here k is constant of variation

$y=kx$

$k=\frac{y}{x}$ --------------(1)

Put the $y$ and $x$ value in equation 1.

$k=\frac{81}{27}$

$k=3$

So, the constant of variation is 3.

6 0

3 years ago

How do you solve 6 x + 5 x − 25 = − 5 x − 28

Travka [436]

Answer:

x = -3/16

Step-by-step explanation:

6x + 5x - 25 = -5x - 28

11x - 25 = -5x - 28

Add 5x to both sides.

16x - 25 = -5x + 5x - 28

16x - 25 = -28

Add 25 to both sides.

16x - 25 + 25 = -28 + 25

16x = -3

Divide both sides by 16

16/16 = 1

-3/16

x = -3/16

3 0

3 years ago

What is a number that when you divide it by 2 and subtract 3.8 from the quotient, you get 7?

Black_prince [1.1K]

Let the number x.

Then the number divided by 2 gives

$\frac{x}{2}$

Subtract 3.8 from the quotient gives

$\frac{x}{2}-3.8$

Hence,

$\frac{x}{2}-3.8=7$ $\begin{gathered} \frac{x}{2}-3.8=7 \\ \frac{x}{2}=7+3.8=10.8 \\ \Rightarrow x=2\times10.8=21.6 \end{gathered}$

x = 21.6

5 0

1 year ago