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
kupik [55]
3 years ago
5

Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P: y = 9x^2 + 5 ; P (2,41)

Mathematics
1 answer:
Flauer [41]3 years ago
6 0

Answer:

(a) 36

(b) y = 36x-31

Step-by-step explanation:

(a) dy/dx = 18x

slope of tangent at (2, 41) = 18(2)

= 36

(b) using y-y1 = m(x-x1)

y-41 = 36(x-2)

y = 36x-31

You might be interested in
2. P= 60 in. Find the length of each side.<br> 2y + 1<br> |3y+5<br><br><br> HELP
MArishka [77]

Answer:

c

Step-by-step explanation:

Please see the attached picture for the full solution.

4 0
3 years ago
PLEASE HELP ME AND SHOW ALL WORK THANK YOU!!!!!!
Natalija [7]
M>5=m>4
m>5 and m>7 are on line then m>5+m>7=180
by substituting
m>4+37=180
m>4=143
m>2=m>7=37
m>4=m>8
m<3+m>5=180
7 0
3 years ago
What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?
asambeis [7]

Answer:

  • (x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

\sf \: x^2+y^2=16x

The equation of a circle with center (h,k) and radius r units is

\sf(x-h)^2+(y-k)^2=r^2(x−h)

\sf(x-7)^2+(y-5)^2=4^2(x−7)

\sf(x-7)^2+(y-5)^2=16(x−7)

<h2>❖ Tip❖ :- </h2>

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

6 0
2 years ago
The function f is defined by f(x)=2x^2-4.<br> Find f(-x)
Vedmedyk [2.9K]
First of all, since all powers of x in this function are even, the entire function is even.  Thus, using -x as input doesn't change the function.  Thus, f(-x)=2x^2-4.

6 0
3 years ago
Determine whether a relation is a function, as well as its domain and range: State the domain and range for the function f(x)=x^
Anna35 [415]
F(x) = x^2 + 3 is a function.
domain of f(x) = x^2 + 3 is all real numbers.
range is all real numbers greater or equal to 3.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the greatest common factor of 48^a 38a
    9·1 answer
  • Jane is making reusable grocery bags and lunch bags she needs 3/4 yard of material to make a grocery bag a lunch bag needs 2/3 o
    9·1 answer
  • The sum of the squares of three consecutive even integers is 980. Determine the integers.
    11·2 answers
  • If you invest $823 at an interest rate of 3% how much money will you have after nine years
    6·1 answer
  • Marco has $38.43 dollars in his checking account. His checking account is linked to his amazon music account so he can buy music
    13·1 answer
  • A rabbit weighs 4 pounds and 6 ounces how many ounces does the rabbit weigh
    7·2 answers
  • What is the midpoint of the line segment With end points 0,4 and -4,-6?
    11·1 answer
  • Please help on test
    13·1 answer
  • Question is in picture<br><br> Drag and drop the steps in order to correctly complete the proof
    10·1 answer
  • Geometry question don’t understand 1 and 3
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!