Answer:
(-∞, ∞) = domain
(-∞, 12] = range
Explanation:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Hope this helps! :)
Answer:
(1.5,-2.6)
Step-by-step explanation:
Given the polar coordinates (-3,60°).
Let our Cartesian coordinates be (x,y)
#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:
#Using the illustration above, we can express our polar coordinates as:
#Solve simultaneously to solve for x and y:
Hence, the Cartesian coordinates are (1.5,-2.6)
Answer:
First angle is 45 and the second angle is 60
Step-by-step explanation:
150 + 105 = 255
360 - 255 = 105
the ratio is 3:4 I add the ratio so 7
105 / 7 = 15
The first angle with the ratio of 3 is 15 x 3 = 45
The second angle with the ratio of 4 is 4 x 15 = 60
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.
26.4 just multiply 6 * 4.4 and that would be the answer!
