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].