Horizontal tangents are such that d<em>y</em>/d<em>x</em> = 0; this happens when
(<em>y</em> - 3) / (<em>x</em> - 3) = 0 → <em>y</em> - 3 = 0 → <em>y</em> = 3
so (I) is true.
Vertical tangents are such that their slope is undefined; this happens when the denominator vanishes, or
<em>x</em> - 3 = 0 → <em>x</em> = 3
so you are right that (II) is not true.
To assess whether (III) is correct, consider what happens at different nearby points (with neither <em>x</em> = 3 nor <em>y</em> = 3) where the <em>y</em> coordinate is kept the same so that the tangent lines occur in the same row. For example,
<em>x</em> = 0, <em>y</em> = 0 → d<em>y</em>/d<em>x</em> = (-3)/(-3) = 1
<em>x</em> = 1, <em>y</em> = 0 → d<em>y</em>/d<em>x</em> = (1 - 3)/(-3) = 2/3
<em>x</em> = 2, <em>y</em> = 0 → d<em>y</em>/d<em>x</em> = (2 - 3)/(-3) = 1/3
The slopes are not the same - they have to be if these tangents are supposed to be parallel - so (III) is not true.
This makes A. (I) only the correct choice.
Answer:
$23.42
Step-by-step explanation:
zoey's bill= .5x+5
logan's bill= x
.5x+5+x=60.26
1.5x+5=60.26
1.5x=55.26
x=36.84
.5(36.84)+5= 23.42
The correct answer is true.
They are often of the same size, but this is not a requirement. What is important is that they're adjacent.
The value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have:
The current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms.
As we know,
V = IR
V = (3 + j2)(4 - j3)
j² = -1 (complex part)
After simplification:
V = 18 - j volts
Thus, the value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ1
Answer:
5
Step-by-step explanation:
5 time 5 is 25
25 time 5 is 125
