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
Answer:
Step-by-step explanation:
<u>Inequality "y is less than or equal to 5 and is greater than or equal to -2":</u>
<u>This is the interval:</u>
<u>The endpoints are:</u>
<u>Product of the endpoints:</u>
<u>Answer choices:</u>
- (A) odd ⇒ False, - 10 is even
- (B) positive ⇒ False, - 10 is not positive
- (C) negative ⇒ True
- (D) None of the above ⇒ False, option C is correct
Answer:
First Option 
Step-by-step explanation:
To graphically add two vectors a and b using the -tail and tip-method, you must draw the tail of b at the tip of the vector a. Then you must draw a line that goes from the tail of a to the tip of b. This line represents the sum of
.
In this problem, notice that the tail of the vector w is on the tip of the vector v. The line that joins the tail of v with the tip of w is u.
Therefore we can say that
.
The answer is the first option
Answer:
54.8275862069
Step-by-step explanation:
If you want rounded than 54