The nth term of a sequence is given. Find the first 4 terms.an = 
A. 1, - 
, 1, 
B. - 
, - 
, 
, 
C. 1, 1, 1, 1
D. - 
, 1, 
, 1
Answer: B
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Provide an appropriate response.Derive the equations x = x0 + 
(1 - e-kt)cos ?, y = y0 + 
(1 - e-kt)sin ? + 
(1 - kt - e-kt)by solving the following initial value problem for a vector r in the plane. Differential equation: 
= -gj - kv = -gj - k
Initial
conditions: r(0) = x0i + y0j 
(0) = v0 = (v0cos ?)i + (v0sin ?)jThe drag coefficient k is a positive constant representing resistance due to air density, v0 and ? are the projectile's initial speed and launch angle, and g is the acceleration of gravity.
What will be an ideal response?
Solve the problem by integration.The force F (in N) applied by a stamping machine in making a certain computer part is 
where x is the distance (in cm) through which the force acts. Find the work done by the force from 
to 
A. 0.195 N? cm B. 13.5685 N? cm C. 0.0121 N? cm D. 0.0725 N? cm
Calculate the value of E if e = 7 v and e = E sin 2ã ft when f = 100 KHz and t = 0.3 æsec.
a. 1.3 v b. 3.5 v c. 37.4 v d. 49.4 v e. 51.8 v
Determine the area of the shaded region in the figure. Use 3.14 for ? if necessary. 
A. 32 sq. in. B. 8 sq. in. C. 36 sq. in. D. 32 sq. in.