the diameter of the a sphere is increading at the rate of 2cm. per minute. Find the rate of change of the radius
1 answer:
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The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.
<h3>What is a Function ?</h3>A function is a law that relates a dependent variable and an independent variable with each other
It is given that
y = 2tan (x - π/2) +3
To find the zeroes of a function that function has to be equated to zero.
2tan (x - π/2) +3 = 0
2tan (x - π/2) = -3
tan (x - π/2) = -3/2
x - 90 = -56.31
x = 33.69 degree
The zero of the function is at 33.69 degree
For finding the maxima /minima
the derivative is
dy/dx = 2 sec² (x - π/2)
the point at which the slope is zero is substituted in the second derivative to find maxima/minima
d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)
if the value is negative then it is a maxima and if it is positive it is a minima.
The vertical asymptote is found by finding the values that make the function undefined
x = 0+ πn
No horizontal or oblique asymptote
To know more about Function
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Answer:
a.) May or may not a polynomial function ( depends on c)
b.) Not a polynomial function.
c.) Not a polynomial function.
d.) It is a polynomial function.
Step-by-step explanation:
A polynomial function is of the form -
where n is positive integer and n 0
a.)
P(x) = 2x³ + 32 - 4x + 4c
It may or may not a polynomial function because we did not know about the constant c.
b.)
H(x) = 4 - 3x⁴
It is not a polynomial function because is not integer.
c.)
G(x) = 2 + 5
It is not a polynomial function because -5 is not a positive integer.
d.)
F(x) = 2x³ - 5x + 33x²
It is a polynomial function.