The required result based on given continuous functions is: 207. See the explanation for same below.
<h3>What are continuous functions?</h3>
A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.
<h3>What is the calculation for the above solution?</h3>
Since G and F are continuous functions,
= 19
= 35
Therefore,
![\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx](https://tex.z-dn.net/?f=%5Cint_%7B12%7D%5E%7B28%7D%29%20%5C%2C%20%5BK%20g%28x%29%20-%202%20f%28x%29%5D%20dx)
= K ![\int_{12}^{28}) \, g(x) dx -2 \int_{12}^{28}) \, f(x) dx](https://tex.z-dn.net/?f=%5Cint_%7B12%7D%5E%7B28%7D%29%20%5C%2C%20g%28x%29%20dx%20-2%20%5Cint_%7B12%7D%5E%7B28%7D%29%20%5C%2C%20f%28x%29%20dx)
So, given that K = 7, we have
7 x 35 - 2 x 19
= 245 - 38
= 207
Learn more about continuous functions at;
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If you are graphing quadratic equations of the type
ax^2 + bx + c = 0
The equation will look like a "U" <span>if "a" is positive </span>or it will look like an upside-down "U" <span>if "a" is negative </span>
Answer:
24.8
Step-by-step explanation:
We will have to use trigonometry here to find the value of x. The first thing we can see is that we need to work out the hypotenuse. We need to chose whether to use Sin, Cos or Tan. We do that by look at the sides .
→ 'x' is the hypotenuse
→ 12 is opposite
→ The adjacent is the side that doesn't have a numerical value to we look for a formula triangle without adjacent in it
Tan = Opposite ÷ Adjacent
Sin = Opposite ÷ Hypotenuse
Cos = Adjacent ÷ Hypotenuse
We can see the Sin formula has no adjacent in it so we use that formula. However we want to work out the hypotenuse so we have to rearrange the sin formula to get hypotenuse as the subject so
Sin = Opposite ÷ Hypotenuse
Hypotenuse = Opposite ÷ Sin
→ Let's substitute in the values
Hypotenuse = 12 ÷ Sin(29)
Hypotenuse = 24.7519841
So the value of x is 24.8 to 1 decimal place
Answer:
Square root function only continues in one direction forever whereas the cube root function continues in two directions forever.
Step-by-step explanation: