Answer:
Step-by-step explanation:
we are given a equation of parabola and we want to find the equation of tangent and normal lines of the Parabola
<u>finding</u><u> the</u><u> </u><u>tangent</u><u> </u><u>line</u>
equation of a line given by:
where:
- m is the slope
- b is the y-intercept
to find m take derivative In both sides of the equation of parabola
divide both sides by 2y:
substitute the given value of y:
simplify:
therefore
now we need to figure out the x coordinate to do so we can use the Parabola equation
simplify:
we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
simplify which yields:
<u>finding</u><u> the</u><u> </u><u>equation</u><u> </u><u>of </u><u>the</u><u> </u><u>normal</u><u> </u><u>line</u>
normal line has negative reciprocal slope of tangent line therefore
once again we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
simplify which yields:
and we're done!
( please note that "a" can't be specified and for any value of "a" the equations fulfill the conditions)
Answer:
h ~ 4.974
Step-by-step explanation:
The formula for the volume of a cylinder is;
Where represents the value,
represents the radius of the given cylinder. In other words, if one were to take a base (the flat side in the case of the cylinder) of the figure. The distance from the center to a point on the outside of the circle is the radius.
represents the height of the object. In other words the distance between the two bases of the cylinder.
represents the volume, in other words, the space that the object takes up.
In this problem, one is given the diameter of the cylinder and the volume. One is asked to find the area.
The diameter of a circle is the distance between two opposite sides of the circle. The diameter will always pass through the center of the circle. To find the radius when given the diameter, one will divide by 2.
To solve this problem, one will substitute in the given information and solve for the height using inverse operations.
Ok so you have to add 13+5 and that will give you 18 then will clear -4w and then divide 18 and -4 by 4
-4w=13+5
-4w=18
18/-4 -4/-4
W=-9/2
I hope this works
Answer:
A, an = 2n. B. an = 2(n-
Step-by-step explanation:
can you brainlist me
Answer:
4
Step-by-step explanation:
Hurley drank between 4 and 5 liters of water for 8 different days and drank between 1 or 2 liters of water on 4 different days. To find the answer we have to use the following equation.
# of days Hurley drank (4-5 L) - # of days Hurley drank (1-2 L) = # of more days
8 - 4 = 4