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
solmaris [256]
3 years ago
10

I need some help with this calculus question

Mathematics
1 answer:
Over [174]3 years ago
3 0

The tangent to y at the point (0, 5) has a slope equal to the derivative evaluated at x=0.

y=x^4+5e^x\implies y'=4x^3+5e^x\implies y'(0)=5

This tangent passes through the point (0, 5), so its equation is

y-5=5(x-0)\implies y=5x+5

The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is

y-5=-\dfrac15(x-0)\implies y=5-\dfrac x5

You might be interested in
Which of the following sets contains only rational numbers?
sp2606 [1]
Rational numbers are numbers which can be written as a fraction (the formula is p/q). They don't include roots we can't solve in order to get a whole number and pi.

A. 776, pi, 25.209, √9   --->    NO (because of pi)
B. 726, 7/34, 20.209, √9    --->   YES
C. √3, 7/39, 20.3, √9   --->    NO (because of √3)
D. 726, 7/34, 20.209, √5   --->   NO (because of √5

Note that √9 = 3, so it IS a rational number.
4 0
3 years ago
Read 2 more answers
A large field measures 70 feet by 525 feet. If you divide it up into equal square garden plots, what size would the largest poss
fenix001 [56]

9514 1404 393

Answer:

  35 feet square

Step-by-step explanation:

The greatest common factor of 70 and 525 is 35. The largest square plot can be 35 feet on a side.

  70 = 2·35

  525 = 15·35

__

I like to find the GCD (greatest common divisor) using Euclid's algorithm. We find the remainder when dividing the larger by the smaller. When that remainder is not zero, we replace the larger number with the remainder, and repeat. When the remainder is zero, the divisor is the GCD.

  525/70 = 7 r 35

  70/35 = 2 r 0 . . . . . 35 is the GCD

7 0
3 years ago
What is BC? <br> enter your answer in the box<br> units
Blababa [14]
Since Angles B and C are equal, the sides AB and AC must also be equal, so you can set the equations equal to each other and solve for x.  Then to find the length of BC, x can be plugged into the equation for that side length.

4x+4=6x-14
Add fourteen to each side to get x alone on the right side
4x+4+14=6x-14+14
4x+18=6x
Subtract 4x from each side to get all of the x's on one side of the equation
4x+18-4x=6x-4x
18=2x
Divide each side by two to find the value of one x
18/2=2x/2
9=x
Now that you know x equals 9, plug that into the equation for side length BC:
2x+7
2(9)+7
Multiply 2 by 9 to get rid of the parentheses
18+7
Add to simplify
25

The side of the triangle, BC, equals 25
7 0
3 years ago
Read 2 more answers
Please need help asap!!!!
Elodia [21]

Just add up all the numbers

6 0
3 years ago
Read 2 more answers
1/1-cos theta + 1/1+cos theta = 2cosec² theta​
BARSIC [14]

Answer:

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • How would I solve 4-3y=31
    11·1 answer
  • Triangles PQR and FGH are similar and PQ/FG=1/4.
    9·2 answers
  • Allen needs to compare a compound for the patient to pick up tomorrow. He needs to mix 2/3 of drug A, with 5/3 of drug B and 9/3
    14·1 answer
  • Help meee pleaseee !!!!!!!
    14·1 answer
  • The velocity of a turtle is recorded at 1 minute intervals (in meters per second). Use the right-endpoint approximation to estim
    11·1 answer
  • TheSolution to the equation is ??
    8·1 answer
  • Find the area of the triangle. please explain/show your work. thank you &lt;3
    10·1 answer
  • Let’s go I need help on number 9 I’ll give you brainliest
    14·1 answer
  • Lines a and b are parallel.<br><br><br><br> What is the measure of angle m?
    9·2 answers
  • What is the unit rate if 2400 words in ½ an hour.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!