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Rudik [331]
3 years ago
7

Since f(x, y) = 1 + y2 and ∂f/∂y = 2y are continuous everywhere, the region R in Theorem 1.2.1 can be taken to be the entire xy-

plane. Use the family of solutions in part (a) to find an explicit solution of the first-order initial-value problem y' = 1 + y2, y(0) = 0. y = Even though x0 = 0 is in the interval (−2, 2), explain why the solution is not defined on this interval. Since tan(x) is discontinuous at x = ± , the solution is not defined on (−2, 2).
Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0

Answer:

(3x, 6)

(3, 8)

Step-by-step explanation:

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Ater a blizzard the amount of snow on the ground melted by 3 inches one day and then another 8 inches the next day. Write an exp
Hoochie [10]

Answer:

11 inches

Step-by-step explanation:

Let the level of ground level be g

On first day, amount of snow melted by 3 inches

So, level of ground melted= (g- 3) inches

Next day, amount of snow melted by 8 inches

So, level of ground level melted = (g- 3-8 )inches

Hence, total change in the ground level = ( g- 11) inches

Hence, amount of snow on ground level melted by 11 inches

Hence, the correct answer is 11 inches

6 0
3 years ago
There were a total of three football games a month. The season is played for four months. How many football games are in the sea
svp [43]

Answer:

12

Step-by-step explanation:

Because 3 games per month and there are 4 months in a season SO 3*4=12 games

5 0
2 years ago
Read 2 more answers
Please please please help me with this question, this is my third time posting it.
netineya [11]

I wanna say B cause on my calc 1/3x is less steep than g(x) but idk good luck <3

3 0
3 years ago
Given f(x) =
sergejj [24]

Answer:

A

Step-by-step explanation:

We are given the function:

\displaystyle f(x) = \left\{        \begin{array}{ll}            2\cos(\pi x) \text{ for }  x \leq -1 \\ \\          \displaystyle   \frac{2}{\cos(\pi x)}\text{ for } x > -1        \end{array}    \right.

And we want to find:

\displaystyle \lim_{x\to -1}f(x)

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

\displaystyle \lim_{x\to-1^-}f(x)

Since we are approaching from the left, we will use the first equation:

\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)

By direct substitution:

=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2

Right-Hand Limit:

\displaystyle \lim_{x\to -1^+}f(x)

Since we are approaching from the right, we will use the second equation:

=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}

Direct substitution:

\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2

So, we can see that:

\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

\displaystyle \lim_{x \to -1}f(x)=-2

Our answer is A.

8 0
3 years ago
Is (3,-1) a solution of the graphed system of inequalities?
xeze [42]

Yes, (3,-1) is a solution to the graphed system of inequalities.

<h3>What are system of inequalities?</h3>

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.

A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.

As we can see in the graph that the two lines are interest in the second quadrant at point such as(x, -y).

So, the point will be a solution also because it lies in the shaded region.

Therefore, Yes, (3,-1) is a solution to the graphed system of inequalities.

Learn more about graphing inequalities here:

brainly.com/question/19598687

#SPJ1

6 0
2 years ago
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