See the attached file for questioins
1:
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].