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
-BARSIC- [3]
2 years ago
13

The slope of the tangent line to the curve x^3y+y^2-x^2=5 at the point (2,1) is

Mathematics
1 answer:
zheka24 [161]2 years ago
5 0

Answer:

-4/5

Step-by-step explanation:

To find the slope of the tangent to the equation at any point we must differentiate the equation.

x^3y+y^2-x^2=5

3x^2y+x^3y'+2yy'-2x=0

Gather terms with y' on one side and terms without on opposing side.

x^3y'+2yy'=2x-3x^2y

Factor left side

y'(x^3+2y)=2x-3x^2y

Divide both sides by (x^3+2y)

y'=(2x-3x^2y)/(x^3+2y)

y' is the slope any tangent to the given equation at point (x,y).

Plug in (2,1):

y'=(2(2)-3(2)^2(1))/((2)^3+2(1))

Simplify:

y'=(4-12)/(8+2)

y'=-8/10

y'=-4/5

You might be interested in
Whats 834×5 plz tell me
amm1812
It is 4170 I believe if my calculations are correct
5 0
3 years ago
Read 2 more answers
How much percentage of a minute is a second?
KengaRu [80]

Answer:

2%

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Compute delta y/delta x for the interval [2,5], where y = 4x - 9.
Kamila [148]
We have to compute: Δ y / Δ x.
The interval is [ 2, 5 ] and y = 4 x - 9.
y 1 = 4 · 2 - 9 = 8 - 9 = - 1
y 2 = 4 · 5 - 9 = 20 - 9 = 11
Δ y / Δ x = ( y 2 - y 1 ) / ( x 2 - x 1 ) =
= ( 11 - ( - 1 ) ) / ( 5 - 2 ) = ( 11 + 1 ) / 3 = 12 / 3 = 4
Answer:
Δ y / Δ x = 4

3 0
3 years ago
Solve for u. u+1/4=-4/5
DedPeter [7]

Answer:

u = (-21)/20

Step-by-step explanation:

Solve for u:

u + 1/4 = (-4)/5

Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u)/4 + 1/4:

(4 u)/4 + 1/4 = -4/5

(4 u)/4 + 1/4 = (4 u + 1)/4:

1/4 (4 u + 1) = -4/5

Multiply both sides of (4 u + 1)/4 = (-4)/5 by 4:

(4 (4 u + 1))/4 = (-4)/5×4

4×(-4)/5 = (4 (-4))/5:

(4 (4 u + 1))/4 = (-4×4)/5

(4 (4 u + 1))/4 = 4/4×(4 u + 1) = 4 u + 1:

4 u + 1 = (-4×4)/5

4 (-4) = -16:

4 u + 1 = (-16)/5

Subtract 1 from both sides:

4 u + (1 - 1) = (-16)/5 - 1

1 - 1 = 0:

4 u = (-16)/5 - 1

Put (-16)/5 - 1 over the common denominator 5. (-16)/5 - 1 = (-16)/5 - 5/5:

4 u = (-16)/5 - 5/5

-16/5 - 5/5 = (-16 - 5)/5:

4 u = (-16 - 5)/5

-16 - 5 = -21:

4 u = (-21)/5

Divide both sides by 4:

u = ((-21)/4)/5

5×4 = 20:

Answer:  u = (-21)/20

3 0
3 years ago
(x+2)(x+6)=0
Mkey [24]

Here ya go.

Answer in picture

6 0
2 years ago
Other questions:
  • What is the system of equations? help!!
    13·1 answer
  • HELP PLEASE!! Write an equation in slope-intercept form for the line perpendicular to y=−4x+1 that passes through the point (−7,
    7·1 answer
  • Please help me I need help​
    8·2 answers
  • Use elimination to solve only number 7
    8·1 answer
  • What’s interval notation of the real numbers from 0 to 25
    12·1 answer
  • Find the value of x to the nearest tenth
    14·1 answer
  • Help please? trying to catch up on math
    6·2 answers
  • Probability of rolling exactly 2 odd numbers when a 6 sided die is rolled three times
    14·1 answer
  • 4<br> How many 3-cup servings are in 4 cups?<br> A. 1/2<br> B. 2/<br> C. 4<br> D. 12
    8·1 answer
  • What is w equivalent to<br> 7w-6=3(w+4) + 4w
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!