Answer:
x=−4+√22 or x=−4−√22
Step-by-step explanation:
Substitute all values in the quadratic formula.
Solve.
Answer:
<em>0.5 < x < 14.5</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem
</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining those inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We are given two of the triangle side lengths as y=7.5 and z=7, thus the third side length (x) can be in the range:
7.5 - 7 < x < 7.5 + 7
0.5 < x < 14.5
<u>Note: The latter is the correct answer but none of the choices is accurate. Choice D is closer to the correct answer but the endpoints cannot be included.</u>
The correct answer to this question is <span>d.) integral from 1 to 2 of (2/(x+1))
</span>To solve this:
Since Δx = 1/n.
lim (n→∞) Δx [1/(1+Δx) + 1/(1+2Δx)+ ... + 1/(1+nΔx)]
= lim (n→∞) Σ(k = 1 to n) [1/(1 + kΔx)] Δx.
x <---> a + kΔx
a = 0, then b = 1, so that Δx = (b - a)/n = 1/n
Since (1 + kΔx) combination, a = 1 so that b = 2.
Then, f(1 + kΔx) <-----> f(x) ==> f(x) = 1/x.
This sum represents the integral
∫(x = 1 to 2) (1/x) dx, so the correct answer is <span>d.) integral from 1 to 2 of (2/(x+1))
Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.
</span>
We are given our function as
For finding concavity , firstly we will find second derivative
now, we can find derivative again
now, we can know second derivative is undefined when denominator =0
so, we set denominator =0
and then we can solve for x
now, we can draw a number line and locate x=-4
and then we can find sign of second derivative on each intervals
so,
Concave downward interval:
