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nevsk [136]
2 years ago
14

Evaluate the integral: ∫dx/(sqrt((x^2)+16))

Mathematics
1 answer:
Lorico [155]2 years ago
7 0
Let x=4tanβ, then dx = 4sec²βdβ.  Now

    ∫(4sec²β)/(4secβ)dβ
=  ∫secβdβ
=  ln |tanβ - secβ| + c
=  ln |(x/4) - (√(x²+16)/4| + C
=  ln |x/√(x²+16)
<u />
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Rewards for answering the question below will be in place.
nadya68 [22]

Answer:

It is the distance that - 5 is from 0 on the number line.

Step-by-step explanation:

We have to select a statement that is true about the value of StartAbsoluteValue negative 5 EndAbsoluteValue i.e. |- 5|

Definition of the absolute value function is given by, |x| = x for, x ≥ 0 and |x| = - x for x < 0.

Now, an absolute value function gives the positive value of any value in the function i.e. |- 5| = 5.

Therefore, it is the distance that - 5 is from 0 on the number line. (Answer)

6 0
2 years ago
Read 2 more answers
What is meant by the term financial planning?
guajiro [1.7K]

Answer:

<h2>a. Long-term goals are reached over an extended period of time, so your current income does not affect them.</h2>

Financial Planning is determining how you're going to handle your money.  Usually after seeking out it's competition, a company will create goals to ensure that money continues to flows through smoothly after their objectives are set.

<em>I hope this helped you!</em>

5 0
3 years ago
9/20
Stella [2.4K]

<u>Question:</u>

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

<u>Answer:</u>

The number of real solutions for the equation x^{2}+5 x+7=0 is zero

<u>Solution:</u>

For a Quadratic Equation of form : a x^{2}+b x+c=0  ---- eqn 1

The solution is x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}  

Now , the given Quadratic Equation is x^{2}+5 x+7=0  ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a} , b^2 - 4ac is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0
3 years ago
The car travels an average of 40km per litre of fuel, and the cost of fuel is £1.25 per litre. Calculate the cost of the fuel fo
Nuetrik [128]

31075  \div 40 = 776.875 \\ 776.875 \times 1.25 = 971.09375
The cost of fuel was £971.09
5 0
3 years ago
Write in expanded form. Use parentheses to indicate multiplication. (-3x) 4
tester [92]
Multiply the number together ....
(-3x)4 = -12x
4 0
3 years ago
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