Question

a. *Find all solutions to the equation *cos(5x – 3) = ½*
.

b. *The position, p, of an object in meters after t seconds is given by:

^{p}^{t}^{=23-4t+((}^{t^}^{2)/}* ^{20)}*
.

Estimate (to the nearest 0.01 m/sec) the object’s average velocity over the time interval [0,50]?

c. If *x**=2 square root
(**x)**+**9/**x**+**x/**5*
, then find *f ‘(x)*.

Answer #1

the position of an object in one dimension is given by
X(t)=A+Bt+Ct^2, where x is in meters and t is in seconds. find the
velocity and acceleration at 3 seconds. what are the units for A,
B, and C?

For the following exercises, find all exact solutions on [0,
2π)
23. sec(x)sin(x) − 2sin(x) = 0
25. 2cos^2 t + cos(t) = 1
31. 8sin^2 (x) + 6sin(x) + 1 = 0
32. 2cos(π/5 θ) = √3

Position and Time The position of an object
moving in a straight line is given by x = 5t - 8
t 2 + 6t 3, where
x is in meters and t in seconds.
(a) What is the position of the object at t = 1s?
m
What is the position of the object at t = 2?
m
What is the position of the object at t = 3?
m
What is the position of the object at...

1) The position of a particle is given in cm by x = (4)
cos 3πt, where t is in seconds.
(a) Find the maximum speed.
m/s
(b) Find the maximum acceleration of the particle.
m/s2
2) An object of mass m is suspended from a vertical
spring of force constant 1692 N/m. When the object is pulled down
2.51 cm from equilibrium and released from rest, the object
oscillates at 5.10 Hz. Write expressions for the acceleration
ax...

10. You are planning to make an open rectangular box from a
16-in. – by -20 in. piece of cardboard by cutting congruent squares
from the corners and folding up the sides. What square side length,
x, gives the box of largest volume you can make this way. Draw a
picture. SHOW WORK.
X (2 decimal places): _______________________
11. Given the velocity ds/dt and initial position of an object
moving along a coordinate line at position at time t, find...

The equation x(t) = −bt2 +
ct3 gives the position of a particle traveling
along the x axis at any time. In this expression,
b = 4.00 m/s2, c = 4.80
m/s3, and x is in meters when t is
entered in seconds. For this particle, determine the following.
(Indicate the direction with the sign of your answer as
applicable.)
(a) displacement and distance traveled during the time interval
t = 0 to t = 3 s
displacement
distance
(b)...

Find all solutions of the equation. (Enter all answers including
repetitions. Enter your answers as a comma-separated list.)
x4 + 5x3− 17x2− 15x
+ 42 = 0
Find all solutions of the equation. (Enter
all
answers including repetitions. Enter your
answers as a comma-separated list.)
6x5 + 43x4 + 37x3 − 30x2 = 0
Find all solutions of the equation. (Enter
all answers including repetitions. Enter your answers as a
comma-separated list.)
x3 − 8x2 − 19x − 10...

a. A tiger leaps from the ground into the air with a speed of
15.0 m/s at an angle of 20.0 degrees above the horizontal and then
eventually lands back on the ground. Neglect air resistance. Find
the total time the tiger is in the air.
b. An object is moving in a straight line such that its position
is given by the equation x=4t+2t2+3 where x is in meters
and t is in seconds. Find the average velocity between...

A particle moves with position r(t) = x(t) i + y(t) j where
x(t) = 10t2 and y(t) = -3t + 2, with x and y in meters and t in
seconds.
(a) Find the average velocity for the time interval from 1.00
s to 3.00 s.
(b) Find the instantaneous velocity at t = 1.00 s.
(c) Find the average acceleration from 1.00 s to 3.00 s.
(d) Find the instantaneous acceleration at t = 1.00 s.

please do 1,2 and 3 thanks
1.The position of a particle moving along the x axis is
given in centimeters by x = 9.12 + 1.75
t3, where t is in seconds. Calculate
(a) the average velocity during the time interval
t = 2.00 s to t = 3.00 s; (b)
the instantaneous velocity at t = 2.00 s;
(c) the instantaneous velocity at t =
3.00 s; (d) the instantaneous velocity at
t = 2.50 s; and (e) the...

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