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3 years ago

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After a while, Erin switched off the weather report and looked up the temperatures of different cities in old newspapers and mag

azines. One of the magazines showed temperatures for different times of a particular year. Based on the temperatures she saw for that year, was Boise warmer in April (6 3/4 F) or in May (6.6 F) ?

2 answers:

Fittoniya [83]3 years ago

7 0

Answer:

Boise was warmer in April than in May.

Step-by-step explanation:

maxonik [38]3 years ago

5 0

Answer:

Step-by-step explanation:123 abc

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Can anyone help me with calculus??

gogolik [260]

1. If $f(x)=(x+1)^4$ , then $f'(x)=4(x+1)^3$ . So $f'(1)=32$ .

2. With $x^2+y^2=1$ , we differentiate once with respect to $x$ and get

$\dfrac{\mathrm d}{\mathrm dx}[x^2+y^2]=\dfrac{\mathrm d}{\mathrm dx}1$

$2x+2y\dfrac{\mathrm dy}{\mathrm dx}=0$

$\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac xy$

Differentiate again with respect to $x$ and we get

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{y-x\frac{\mathrm dy}{\mathrm dx}}{y^2}$

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{y+\frac{x^2}y}{y^2}=-\dfrac{y^2+x^2}{y^3}=-\dfrac1{y^3}$

(where $y\neq0$ ).

3. Check the one-side limits where the pieces are split. For $f$ to be continuous everywhere, we need

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

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)$

In the first case, we have

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

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

and $f(-1)=1$ , so it's continuous here.

In the second case, we have

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}x^2=1$

$\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}3-x=2$

so $f$ is discontinuous at $x=1$ .

4. If $f(x)=3xe^x$ , then $f'(x)=3e^x+3xe^x=3e^x(1+x)[tex]. So [tex]f'(0)=3$ .

5. If $f(x)=(x+1)^2(x+2)^3$ , then $f'(x)=2(x+1)(x+2)^3+3(x+1)^2(x+2)^2=(x+1)(x+2)^2(5x+7)$ . So $f'(0)=28$ .

6. The average velocity over [1, 2] is given by

$\dfrac{s(2)-s(1)}{2-1}=(2^2+2)-(1^2+1)=4$

7. If $f(x)=\sin^2x$ , then $f'(x)=2\sin x\cos x=\sin2x$ . So $f'\left(\dfrac\pi4\right)=\sin\dfrac\pi2=1$ .

8. If $f(x)=\log_23x$ , then

$2^{f(x)}=3x\implies e^{\ln2^{f(x)}}=3x\implies e^{(\ln2)f(x)}=3x$

Differentiating, we get

$(\ln2)f'(x)e^{(\ln2)f(x)}=(\ln2)3xf'(x)=3\implies f'(x)=\dfrac1{(\ln2)x}$

So $f'(1)=\dfrac1{\ln2}$ .

9. If $f(x)=\dfrac1{x^2}$ , then $f'(x)=-\dfrac2{x^3}$ . So $f'(1)=-2$

10. If $f(x)=-\dfrac{6x}{e^x+1}$ , then $f'(x)=-\dfrac{6(e^x+1)-6xe^x}{(e^x+1)^2}=-\dfrac{6e^x(1-x)+6}{(e^x+1)^2}$ . So $f'(0)=-\dfrac{12}4=-3$ .

7 0

4 years ago

In the Tigers Football Club, there are 9 players to each coach, while in the Eagles Football Club, there are 17 players to every

vivado [14]

9514 1404 393

Answer:

Tigers: 8 coaches, 72 players
Eagles: 16 coaches, 136 players

Step-by-step explanation:

We can define a "basic unit" of each team to be the minimum number of players and coaches that can have the given ratio. For the Tigers, that is 1 coach and 9 players, for a total of 10 team members. For the Eagles, that is 2 coaches and 17 players, for a total of 19 team members. If we have t basic units of Tigers and e basic units of Eagles, then we want ...

10t +19e = 232 . . . . . the total of players and coaches in the two clubs

We want t and e to be integers, so this is a Diophantine equation. It can be solved any of several ways, including use of the Extended Euclidean Algorithm. Here, we'll make some observations based on "number sense."

The value of e must be an even number between 0 and 232/19 = 12. The product of e and 19 must be a number that ends in 2, because 10t will end in 0, and the sum with 19e must end in 2.

The only multiple of 9 that ends in 2 is 9×8 = 72, so the value of e must be a positive number less than 12 that ends in 8. We must have e=8.

Then t=(232 -8×19)/10 = 8. This tells us there are 8 "basic units" of each team.

The Tigers have 8 coaches and 72 players.

The Eagles have 16 coaches and 136 players.

8 0

3 years ago

Which statement best explains the relationship between

nikdorinn [45]

Answer:

A. parallel because their slopes are equal.

Step-by-step explanation:

because parallel means matching

meaning they have the same slope

8 0

3 years ago

What are the slope and the y-intercept of the linear function that is represented by the graph?

Gemiola [76]

Answer:

The slope is 4 and the y-intercept is 12.

3 0

4 years ago

Read 2 more answers

Nathanial is using the quadratic formula to solve 0=x^2+5x-6. His steps are shown below. What are the solutions to the equation?

ollegr [7]

Answer:

x=1, x=-6

Step-by-step explanation:

x^2+5x-6=0 can be reduced to (x+6)(x-1)=0

we now have x+6=0 and x-1=0

solve by subtracting 6 from each side in the first equation and adding 1 to each side in the second.

x=1, x=-6

8 0

3 years ago