5x² + 4x - 20 = 0<br> Solve this using the quadratic formula

What is this equal<br> how can I solve similar trigonometric integrals like this one

Angelina_Jolie [31]

Answer:

ln|sec θ + tan θ| + C

Step-by-step explanation:

The integrals of basic trig functions are:

∫ sin θ dθ = -cos θ + C

∫ cos θ dθ = sin θ + C

∫ csc θ dθ = -ln|csc θ + cot θ| + C

∫ sec θ dθ = ln|sec θ + tan θ| + C

∫ tan θ dθ = -ln|cos θ| + C

∫ cot θ dθ = ln|sin θ| + C

The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.

∫ sec θ dθ

∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ

∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ

ln|sec θ + tan θ| + C

3 0

3 years ago

Nina wants to buy a bicycle thats costs $150. she has saved 6 percent of the total cost of the bicycle.how much money has nina s

notka56 [123]

The understanding one needs to work with percentages is:
1/100 = 1% = 0.01
Also
6/100 = 6% = 0.06
also
25/100=1/4=0.25=25%

To find a spesific share of a total, we can multiply the perectage with the total, like this: Total * 6% or in a way easier to work with: Total * 0.06 or (Total * 6)/100

If you have a calculator i would recommend using the decimals, as they are one of the easiest to type in - and remember once you get the hang of it.

To find the money Nina has saved, you do the following.
150*0.06=9$
Nina has saved 9 dollars.

The remaining percent she needs, is
100-6=94%

She still needs money for 94% of the bike.

8 0

3 years ago

5,049 +48=105

Alborosie

<h2>Solution (a) :-</h2>

Let the cost of the less expensive comic book be x .

Then :-

$1284 - 11x = x$