All categories

3 years ago

PLEASE HELP!!!!!!!!!!!!

Mathematics

2 answers:

Dafna11 [192]3 years ago

7 0

Answer:

Step-by-step explanation:

Llana [10]3 years ago

4 0

Answer:

Step-by-step explanation:

2(x^2-3)+8

plug in 2 for x ez

2(2^2-3)+8

2(1)+8

=10

(=^w^=)

You might be interested in

F(x)=5-3x For x=1 And x=3

galben [10]

The answer would be -4

6 0

3 years ago

You are given the polar curve r = e^θ

galina1969 [7]

The tangent to $r(\theta)=e^\theta$ has slope $\frac{\mathrm dy}{\mathrm dx}$ , where

$\begin{cases}x(\theta)=r(\theta)\cos\theta\\y(\theta)=r(\theta)=\sin\theta\end{cases}$

By the chain rule, we have

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}$

and by the product rule,

$\dfrac{\mathrm dx}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\cos\theta-r(\theta)\sin\theta$

$\dfrac{\mathrm dy}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\sin\theta+r(\theta)\cos\theta$

so that with $\frac{\mathrm dr}{\mathrm d\theta}=e^\theta$ , we get

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^\theta\sin\theta+e^\theta\cos\theta}{e^\theta\cos\theta-e^\theta\sin\theta}=\dfrac{\sin\theta+\cos\theta}{\cos\theta-\sin\theta}=-\dfrac{1+\sin(2\theta)}{\cos(2\theta)}$

The tangent line is horizontal when the slope is 0; this happens for

$-\dfrac{1+\sin(2\theta)}{\cos(2\theta)}=0\implies\sin(2\theta)=-1\implies2\theta=-\dfrac\pi2+2n\pi\implies\theta=-\dfrac\pi4+n\pi$

where $n$ is any integer. In the interval $0\le\theta\le2\pi$ , this happens for $n=1,2$ , or

$\theta=\dfrac{3\pi}4\text{ and }\theta=\dfrac{7\pi}4$

i.e at the points

$(r,\theta)=\left(e^{3\pi/4},\dfrac{3\pi}4\right)$

and

$(r,\theta)=\left(e^{7\pi/4},\dfrac{7\pi}4\right)$

8 0

3 years ago

One-tenth of the cars in a car park are yellow. Another car arrives and now one-ninth of the cars are yellow. How many cars are

Triss [41]

There are 81 cars now in the car park! :D

4 0

3 years ago

Read 2 more answers

harry bought 155 ranges for $35. He found that 15 of them were rotten. He sold all the remaining oranges at 7 for $2. How much d

Nesterboy [21]

Answer:

Harry made $5.

Step-by-step explanation:

First 155 minus 15 rotten oranges is 140 oranges. Then, you do 140 divided by 7 to find the number of sales he made. 140 divide by 7 equals 20 which is the number of sales. Then 20 times 2 equals $40. Since he spent $35 to buy the oranges at first, you do 40 minus 35 which equals 5. He made $5 profit.

3 0

3 years ago

-2(6r-5)-4(-8+2r)=62

12345 [234]

black v gf fg fg gf fg fg gf gfg fgfg fgffg fg f

5 0

3 years ago