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3 years ago

A ball is thrown into the air from the roof of a building that is 25

Mathematics

1 answer:

guapka [62]3 years ago

6 0

See https://web2.0calc.com/questions/help_29603.

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I need help in this!

In-s [12.5K]

For a function to begin to qualify as differentiable, it would need to be continuous, and to that end you would require that $a$ is such that

$\displaystyle\lim_{x\to0^-}g(x)=\lim_{x\to0^+}g(x)\iff\lim_{x\to0}ax=\lim_{x\to0}x^2-3x$

Obviously, both limits are 0, so $g$ is indeed continuous at $x=0$ .

Now, for $g$ to be differentiable everywhere, its derivative $g'$ must be continuous over its domain. So take the derivative, noting that we can't really say anything about the endpoints of the given intervals:

$g'(x)=\begin{cases}a&\text{for }x0\end{cases}$

and at this time, we don't know what's going on at $x=0$ , so we omit that case. We want $g'$ to be continuous, so we require that

$\displaystyle\lim_{x\to0^-}g'(x)=\lim_{x\to0^+}g'(x)\iff\lim_{x\to0}a=\lim_{x\to0}2x-3$

from which it follows that $a=-3$ .

3 0

2 years ago

C = 1 /2Rt solve for R

Vladimir [108]

C = 1/2 RT

1. C/2 = RT

2. C/2 * 1 / T = R

R = C / 2 * 1 / T

7 0

3 years ago

In △XYZ , XZ=9 , YZ=4 , and XY=7 .

Mamont248 [21]

Answer:

$A=6\sqrt{5}\ units^2$

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

$A=\sqrt{s(s-a)(s-b)(s-c)}$

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

$a=9\ units,b=4\ units,c=7\ units$

Find the semi-perimeter s

$s=\frac{9+4+7}{2}=10\ units$

Find the area of triangle

$A=\sqrt{10(10-9)(10-4)(10-7)}$

$A=\sqrt{10(1)(6)(3)}$

$A=\sqrt{180}\ units^2$

Simplify

$A=6\sqrt{5}\ units^2$

8 0

3 years ago

The (greatest, least) of the common factors of 2 or more numbers is the (greatest, least) common factor of the numbers.

Liula [17]

Answer:

The greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

Step-by-step explanation:

As we know that

The greatest common factor of two or more whole numbers is the largest whole number that divides evenly into each of the numbers.

Thus, the greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

For example, lets find the greatest common factor of $36$ and $54$ .

The possible factors of $36$ are:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

The possible factors of $54$ are:

1, 2, 3, 6, 9, 18, 27, and 54.

The common factors of 36 and 54 are:

$1, 2, 3, 6, 9, 18$

So, from the common factors, it is easy to figure out that 18 is the greatest common factor.

4 0

3 years ago

Is 10 + 0.01 rational or irrational

Lady bird [3.3K]

Answer:

its a rational number because 10+0.01 is 10.01 and thats rational

3 0

3 years ago

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