Answer:
a.) y = 3/(2ˣ)
b.) y = 1/(2ˣ)
c.) y = (π^π)ˣ
d.) y = (1/27)(1/√(3))ˣ
e.) y = .002908/(.119025ˣ)
f.) y = .00000004808/(.0413ˣ)
Step-by-step explanation:
Concept need to know is:
- a negative exponent will flip the numerator with the denominator
- a fraction as an exponent is just a root. so if the exponent is x^(1/2) then the root is 2 and x^(1/3) is a cube root
- adding and subtracting exponent is the same thing as multiplying the same base.
- so x^(1+2) = (x^1)(x^2)
- and x^(1-2) = (x^1)(x^-2)
Answer:
3.
Step-by-step explanation:
Implicit differentiation:
x^2 y + (xy)^3 + 3x = 0
x^2 y + x^3y^3 + 3x = 0
Using the product rule:
2x* y + x^2*dy/dx + 3x^2 y^3 + x^3* (d(y^3)/dx) + 3 = 0
2xy + x^2 dy/dx + 3x^2 y^3 + x^3* 3y^2 dy/dx + 3 = 0
dy/dx(x^2 + 3y^2x^3) = (-2xy - 3x^2y^3 - 3)
dy/dx= (-2xy - 3x^2y^3 - 3) / (x^2 + 3y^2x^3)
At the point (-1, 3).
the derivative = (6 - 81 - 3)/(1 -27)
= -78/-26
= 3.
Answer:
The vector is 
.
Step-by-step explanation:
We can determine the equivalent vector (
), dimensionless, by means of the following formula:
(1)
Where:
- Original vector, dimensionless.
- Norm of the original vector, dimensionless.
- Norm of the new vector, dimensionless.
The norm of the original vector is determined by the following definition:
(2)
If we know that 
, then the norm of the original vector is:
If we know that 
, then the new vector is:
The vector is .
Answer:
range would be 19
Step-by-step explanation:
Answer:
The answer to your question is letter A. 
Step-by-step explanation:
Cosine is the trigonometric function that the adjacent side and the hypotenuse.
Formula
cos x = 
For x:
Adjacent side = 5
Hypotenuse = 13
Substitution
cos x =
