1.
a. Determine the angle (in radians) between the vectors 〈4, −5,
6〉 and 〈−2, 2, 3〉.
b. Find the vector projection of 〈1, 2, 4〉 onto 〈1, 1, 1〉.
c. Compute the cross product 〈2, 3, 4〉 × 〈1, 0, −1〉.
(1 point) Let θ(in radians) be an acute angle in a right
triangle and let xx and yy, respectively, be the lengths of the
sides adjacent to and opposite θ. Suppose also that x and y vary
with time.
At a certain instant x=8 units and is increasing at 1 unit/s, while
y=5 and is decreasing at 1/3 units/s.
How fast is θ changing at that instant?
(1 point) Suppose a pendulum with length L (meters) has angle θ
(radians) from the vertical. It can be shown that θ as a function
of time satisfies the differential equation:
((d^2)θ)/(dt^2))+(g/L)sinθ=0
where g=9.8/sec is the acceleration due to gravity. For small
values of θ we can use the approximation sin(θ)∼θ, and with that
substitution, the differential equation becomes linear.
A. Determine the equation of motion of a pendulum
with length 0.5 meters and initial angle 0.5 radians and initial...
6.
Used for loop, create a table that convert angle values from
degrees to radians, from 0 to 180 degrees, in increments of 4.
7. Apply the same operation using the vectorization
Find the roots of the following equation in [−π, π] 2x 2 − 4
cos(5x) − 4x sin x + 1 = 0 by using the Newton’s method with
accuracy 10^(−5) .
how do I solve this using a computer