3 years ago

What is the slope of the tangent line through (3,2) and (x,y) for x=-2 and y=x3

1 answer:

3 0

First you must derive the equation to find the slope:
y = x ^ 3
y '= 3x ^ 2
Then, for x = -2 we have the slope is:
y '(- 2) = 3 (-2) ^ 2 = 12
Then the equation of the line with slope equal to 12 and passing through point (3,2) is:
y = 12 (x-3) +2

You might be interested in

The first term of an arithmetic sequence is-3 and the 15 term is 53. What is the common difference of the sequence?

Annette [7]

$a_2=a_1+d$
$a_3=a_2+d=a_1+2d$
$a_4=a_3+d=a_1+3d$
...
$a_{15}=a_1+14d$

Since $a_1=-3$ and $a_{15}=53$ , the common difference $d$ is

$53=-3+14d\implies d=4$

6 0

3 years ago

if sintheta is greater than 0 and costheta less than 0 then the terminal point determined by theta is in:

mihalych1998 [28]

Answer:

Quadrant II

Step-by-step explanation:

Sin is positive in Quad I and II

Cos is negative in Quad II and II

Therefor ∅ is in Quadrant II

6 0

3 years ago

What is the midpoint between (7 − 3i) and ( 3 + 2i).

Rufina [12.5K]

Answer:Answer: 5 - i/2

Step-by-step explanation:

Complex numbers on the complex plane are in essense the same, when it comes to midpoints. Applying the midpoint formula, we get the midpoint as ( 3+2i + 7-3i ) /2 , or (10-i)/2, or 5- i/2

5 0

4 years ago

Re-write 15/9 as a mixed number

Y_Kistochka [10]

Answer:

1 6/9

Step-by-step explanation:

3 0

3 years ago

Antonio earns $6 an hour helping his grandmother. Write and solve an equation to find out how many hours she needs to work to ea

Ilia_Sergeevich [38]

48/6 = 8 (just divide)
ANSWER: $8

7 0

3 years ago