1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ratling [72]
3 years ago
13

Find a unit vector parallel to and normal to the graph of f(x) at the indicated point. f(x) = sqrt(25-x^2) point (3,4)

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0
<span>y = sqrt(25-x^2) at point (3,4)

The derivative gives us the slope at 3 to be:
          -2x
 ------------ at x=3: -3/4
     2sqrt(25-x^2)

</span><span>so we have a vector that is parallel to the slope of the tangent line is: <4,-3>
</span>
<span>the mag = 5 so; unit tangent = <4/5 , -3/5>
</span>
<span>since perpendicular lines have a -1 product between slopes we get the normal to be... <3/5,4/5>
</span>
<span>It is <4,-3> because it is rise over run. Rise is y component of vector and run is x component of vector.</span>
You might be interested in
The owner of the plant nursery where you work tells you to fill 350 milliliter bottles from a 30 liter drum of fertilizer. How m
valina [46]
So we know that there are 1000 mL in 1 L. We can set up an equation that allows us to solve for how many bottles are needed in order to empty the 30 L tank:

\frac{1 bottle}{350 mL}*  \frac{1000 mL}{1 L}* \frac{30 L}{1 tank}

This equation then allows us to cancel out the units of mL and L, leaving us with how many bottles are needed per tank. Then we multiply straight across to give us:

\frac{30,000}{350}= \frac{85.71 bottles}{1 tank}

The question asks us to round up to the next whole number, so it would take 86 bottles to empty one 30 L tank.
8 0
3 years ago
P(x) =x and q(x) = x-1Given:minimum x and Maximum x: -9.4 and 9.4minimum y and maximum y: -6.2 and 6.2Using the rational functio
Arte-miy333 [17]

we have the following function

\frac{p(x)}{g(x)}=\frac{x}{x\text{ -1}}

where x is between -9.4 and 9.4 and y is between -6.2 and 6.2.

We will first draw the function

from the graph, we can see that the zeroes are all values of x for which the graph crosses the x -axis

In this case, we see that that the only zero is at x=0.

Now, we have that the asymptotes are lines to which the graph of the function get really close to. On one side, we can see that as x goes to infinity or minus infinity, the values of the function get really close to 1. So the graph has a horizontal asymptote at y=1. Also, we can see that as x gets really close to 1, the graph gets really close to the vertical line x=1. So the graph has a vertical asymptote at x=1.

Recall that the domain of a function is the set of values of x for which the function is defined. From our graph, we can see that graph is not defined when x=1. So the domain of the function is the set of real numbers except x=1. Now, recall that the range of the function is the set of y values of the graph. From the picture we can see that the graph has a y coordinate for every value of y except for y=1. So, this means that the range of the function is the set of real numbers except y=1.

From the graph, we can see that we cannot draw the graph having a continous drawing. That is, imagine we take a pencil and start on one point on the graph on the left side. We can draw the whole graph on the left side, but we cannot draw the graph on the right side without lifting the pencil up. As we have to "lift the pencil up" this means that the graph is not continous

Finally note that as we have a vertical asymptote at x=1 and horizontal asymptote at y=1 we have that when y is 1 or x is 1, the function y=f(x)/g(x) is undefined

5 0
1 year ago
Wyd for 50 points answer fast
Vika [28.1K]

Answer: Chillin hbu?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write one and two hundred fifty three thousandths in standard form
aivan3 [116]
1.253
Is the answer to ur question
6 0
3 years ago
The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood flo
scoray [572]

Answer:

there is no attachment

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Jane started jogging 5 miles from home, at a rate of 2 mph. Write the slope-intercept form of an equation for Jane’s position re
    14·1 answer
  • The length of the segment is <br> centimeters.<br><br> The scale is <br> cm : <br> m.
    14·1 answer
  • Which expression is equivalent to x4 • x−2?
    7·1 answer
  • alex had 156 marbales.anothony had 29 marbales ad izaya had 38 marbels. how many more marbles does alex have than anthony and iz
    8·1 answer
  • Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gen
    7·1 answer
  • Ne of the fastest recorded speeds of an alligator on land is 8.8 m/s. Approximately, what is this speed in kilometers per hour?
    5·1 answer
  • Here is another question can u help.
    14·1 answer
  • Write the function notation for the<br> above rotation.
    6·1 answer
  • HELPP!!! PLS ANSWER WITH FULL EXPLANATION AND PLS DO NOT SEND ANY LINKS!If Sara earns $2,400 per month and Jack earns $2,000 per
    10·2 answers
  • The isotope samarium-151 decays into europium-151, with a half-life of around 96.6 years. A rock contains 5 grams of samarium-15
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!