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Rudik [331]
3 years ago
10

Derivative of 2ln(secx)

Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0
2tan(x)

i. take the 2 out
ii. derivative of acos is -sin
iii. derivative of In is -ve inverse

so we have 2 times sin(x)/cos(x) hence 2tan(x)
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Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum.
Veronika [31]

The equation representing Max's number is 2\times(x+8).

<h3>What is an equation?</h3>

In its simplest form in algebra, the definition of an equation may be a mathematical statement that shows that two mathematical expressions are equal. It consists of variables dependent and independent variables. They can be linear or non-linear in nature.

Let the number Max is thinking be 'x'

He adds 8 to the number and then he doubles the sum.

Sum means we are adding a number to x, in this case it is 8.

Double the number means twice the given number in this case it is twice the sum of number with 8.

As per the statement:

The expression to represents Max's number

=2\times(x+8)

To know more about equations visit:

brainly.com/question/15457147

#SPJ9

7 0
1 year ago
PLZZZZZZzzzzzZzZzZzZzZZz BRAINLIESTTTTTTTT
Cloud [144]

Answer:

A) 3, B) 8 and 4, C) 12

Step-by-step explanation:

There are 3 terms: 8x^2, 4x, and 12.

The coefficiemts are numbers that come before a variable. That's why the coefficients are 8 and 4.

The constant is the number that doesn't come with a variable, thus 12.

5 0
2 years ago
Read 2 more answers
A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 for g and 3.14 for π. If you ente
OLEGan [10]
To answer the question above, we will have to use some calculus approach to this problem.


<span>volume of sphere = (4/3)(pi)(radius^3) = (4/3)(pi)(9^3) = 972pi </span>
<span>mass = (density)(volume) = (972pi)(1,000) = 972,000pi </span>
<span>force = (mass)(acceleration or gravity here) = (972,000pi)(9.8) = 9,525,600pi </span>
<span>work = (force)(distance) = (9,525,600pi)(4.5) = 42,865,200pi J 
</span>
I hope my answer helped you with your problem
6 0
3 years ago
option 1 drop down are: even-odd identity, quotient identity, Pythagorean identity, double-number identity.option 2 drop down ar
motikmotik

Answer:

The equation is given below as

\frac{\cos2x}{\cos x}=\cos x-\sin x\tan x

Step 1:

We will work on the left-hand side, we will have

\begin{gathered} \cos x-\sin x\tan x \\ \text{recall that,} \\ Quoitent\text{ identity is} \\ \tan x=\frac{\sin x}{\cos x} \end{gathered}

By substituting the identity above, we will have

\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x}=\cos x-\frac{\sin^2x}{\cos x} \\  \end{gathered}

Here, we will make use of the quotient identity

Step 2:

By writings an expression, we will have

\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x} \\ \cos x-\sin x\tan x=\frac{\cos^2x-\sin^2x}{\cos x} \end{gathered}

Here, we will use the definition of subtraction

\cos x-\frac{\sin^2x}{\cos x}

Step 3:

We will apply the double number identity given below

\begin{gathered} \cos 2\theta=\cos (\theta+\theta)=\cos ^2\theta-\sin ^2\theta \\ \cos 2x=cos(x+x)=\cos ^2x-\sin ^2x \end{gathered}

By applying this, we will have

\frac{\cos^2x-\sin^2x}{\cos x}=\frac{\cos2x}{\cos x}

Here, we will use the double number identity

\frac{\cos^2x-\sin^2x}{\cos x}

5 0
1 year ago
A group of n people enter an elevator in a building with k floors. Each person independently selects a floor uniformly at random
____ [38]

Answer:

Hence the person stop at floor by at least one person will be

E(X)=(summation from K=1 to k)[1-{(k-1)/k}^n]

Step-by-step explanation:

Given:

There are n peoples and k floors in a building.

Selects floor with 1/k probability .

To find :

Elevator stop at each floor by at least one person.

Solution:

Now

let K= number of floor at which at least one person will be stopping.

For getting E(X)

consider a variable Ak =1 if a least one person get of the elevator

and values for k=1,2,3.....k

K=(summation From k=1 to k)Ak

E(K)=((summation From k=1 to k) E[Ak]

=(summation From k=1 to k)[1-{(k-1/k)^n

Hence the person stop at floor by at least one person will be

E(K)=(summation from K=1 to k)[1-{(k-1)/k}^n]

4 0
3 years ago
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