Answer:
Step-by-step explanation: 4848474838387398437939743927938<em>5</em>
Answer:
positive
Step-by-step explanation:
Using the acronym ASTC (all students take calculus), this means that if sin and tan are negative, they must be in the fourth quadrant, which means that cos is positive.
ASTC is an acronym to help students remember which of the three basic trigonometric functions are positive in which quadrants.
A: all
S: sin
T: tan
C: cos
It starts from the first quadrant: all the sin, tan, cos are positive in the first quadrant, only sin is positive in the second quadrant, only tan is positive in the third quadrant, only cos is positive in the fourth quadrant.
Answer:
B. x ≈ 13/8
Step-by-step explanation:
We assume that one iteration consists of determining the midpoint of the interval known to contain the root.
The graph shows the functions intersect between x=1 and x=2, hence our first guess is x = 3/2.
Evaluation of the difference between the left side expression and the right side expression for x = 3/2 shows that difference to be negative, so we can narrow the interval to (3/2, 2). Our 2nd guess is the midpoint of this interval, so is x = 7/4.
Evaluation of the difference between the left side expression and the right side expression for x = 3/4 shows that difference to be positive, so we can narrow the interval to (3/2, 7/4). Our 3rd guess is the midpoint of this interval, so is x = 13/8.
_____
The sign of the difference at this value of x is still negative, so the next guess would be 27/16. It is a little hard to tell what the question means by "3 iterations." Evaluating the function for x=13/8 will be the third evaluation, so the determination that x=27/16 will be the next guess might be considered to be the result of the 3rd iteration.
Answer: V = 311.0
Step-by-step explanation:
Formula:
V = 311.02
V = 311.0