See the attached file for questioins




Problem 2:


Find the antiderivative



Problem 3:


Find the demeanor area when the outoutoutthread portion A in the shape beneath is rotated environing the outlines:


(a) y = 1


(b) x = -2

(a)       The outoutoutthread portion follows the character f (x) = x + 1. The well for the demeanor area of requirement is:

(a)       The outoutoutthread portion follows the character f (y) = y – 1. The well for the demeanor area of requirement is:

Problem 4:


A region of radius 2 base is assiduous behind a while 2000 pounds of limpid. How plenteous achievement is effected pumping the limpid to a subject-matter 5 feet aloft the top of the region?

Problem 5:


Find the well



Problem 6:


Find the well



Problem 7:


Use the specification of an unbecoming well to evaluate the fond well:




Problem 8:


Find the inaccurate wells and evaluate the certain wells. A detail vary of inconstant is suggested.

Problem 9:


Evaluate the well



Problem 10:


Evaluate the well



Problem 11:


Evaluate the well




Problem 12:


Show that if m and n are integers, then . (Consider m = n and

m ≠ n.)


Problem 13:


Use derivatives to indicate whether the continuity beneath is monotonic increasing, monotonic decreasing, or neither:





Problem 14:


Each exceptional washing of a span of overalls removes 80% of the radioactive particles rooted to the overalls. Represent, as a continuity of aggregate, the percent of the pristine radioactive particles that accrue behind each washing.

Problem 15:


Calculate the appraise of the biased sum for n = 4 and n = 5, and discover a formula for sn. (The patterns may be further explicit if you do not elucidate each signal.)

Problem 16:


In the scrutiny of the Well Test, we superficial an imparity limitation the appraises of the biased sums  between the appraises of two wells:



Problem 17:


Use any of the methods conversant from this MATH141 adjust to indicate whether the fond train conduce or mix. Afford reasons for your answers.



Problem 18:


 Determine whether the fond train Conduce Absolutely, Conduce Conditionally, or Diverge, and afford reasons for your conclusions.



Problem 19:


Find the space-between of conducence for the train beneath. For x in the space-between of conducence, discover the sum of the train as a character of x. (Hint: You perceive how to discover the sum of a geometric train.)



Problem 20:


Represent the well as a numerical train:




Use the train justice of these characters to apportion the limits.



Determine how divers signals of the Taylor train for f(x) are needed to near f to behind a whilein the specified mistake on the fond space-between. (For each character use the feeling c = 0.)


             amid 0.001 on [-1, 4].