For Exercises 11-16, vector v has initial point P and terminal point Q. Vector w has initial point R and terminal point S. (See Example 1) a. Find the magnitude of v. b. Find the magnitude of w. c. Determine whether v = w and explain your reasoning. P 4 , 7 , Q 5 , 10 and R − 2 , 8 , S − 1 , 11
For Exercises 11-16, vector v has initial point P and terminal point Q. Vector w has initial point R and terminal point S. (See Example 1) a. Find the magnitude of v. b. Find the magnitude of w. c. Determine whether v = w and explain your reasoning. P 4 , 7 , Q 5 , 10 and R − 2 , 8 , S − 1 , 11
Solution Summary: The author calculates the magnitude of v that has initial point P(4,7) and terminal
For Exercises 11-16, vector v has initial point P and terminal point Q. Vector w has initial point
R and terminal point S. (See Example 1)
a. Find the magnitude of v.
b. Find the magnitude of w.
c. Determine whether
v
=
w
and explain your reasoning.
P
4
,
7
,
Q
5
,
10
and
R
−
2
,
8
,
S
−
1
,
11
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.
PLEASE SHOW ME THE RIGHT ANSWER/SOLUTION
SHOW ME ALL THE NEDDED STEP
13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
DO NOT GIVE THE WRONG ANSWER
SHOW ME ALL THE NEEDED STEPS
11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
College Algebra with Modeling & Visualization (5th Edition)
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