Dentify the height for the function: f(t)=2csc(4t-pi/5)+1
2 answers:
Answer with explanation:
The given function is
The values that Cosecant function ican take is, 0,1, 2,...
So,Height that function can reach is
So,→ Maximum Height from X axis from where the function begin or vertex of the function =3
→Minimum Height from X axis from where the function begin or vertex of the function =1
→And if you will look at the overall height of Function , the y value can reach upto Infinity.
Option C: 3
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Answer and Step-by-step explanation: Spherical coordinate describes a location of a point in space: one distance (ρ) and two angles (Ф,θ).To transform cartesian coordinates into spherical coordinates:
For angle θ:
- If x > 0 and y > 0:
;
- If x < 0:
;
- If x > 0 and y < 0:
;
Calculating:
a) (4,2,-4)
= 6
For θ, choose 1st option:
b) (0,8,15)
= 17
The angle θ gives a tangent that doesn't exist. Analysing table of sine, cosine and tangent: θ =
c) (√2,1,1)
= 2
=
d) (−2√3,−2,3)
= 5
Since x < 0, use 2nd option:
Cilindrical coordinate describes a 3 dimension space: 2 distances (r and z) and 1 angle (θ). To express cartesian coordinates into cilindrical:
Angle θ is the same as spherical coordinate;
z = z
Calculating:
a) (4,2,-4)
=
z = -4
b) (0, 8, 15)
= 8
z = 15
c) (√2,1,1)
=
z = 1
d) (−2√3,−2,3)
= 4
z = 3
To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e.
.
So 0.000000016 expressed in scientific notation is 1.6x
, or in calculator notation 1.6E-8
We can conclude that the correct answers are <span>1.6E-8 and </span><span>1.6 × 10-8</span>
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e.
So 0.000000016 expressed in scientific notation is 1.6x
We can conclude that the correct answers are <span>1.6E-8 and </span><span>1.6 × 10-8</span>