See the attached file for questioins




Problem 2:


Find the antiderivative



Problem 3:


Find the demeanor area when the verse part A in the metaphor adown is rotated about the verses:


(a) y = 1


(b) x = -2

(a)       The verse part follows the business f (x) = x + 1. The gross for the demeanor area of time is:

(a)       The verse part follows the business f (y) = y – 1. The gross for the demeanor area of time is:

Problem 4:


A orb of radius 2 base is industrious following a while 2000 pounds of mellifluous. How ample operation is executed pumping the mellifluous to a subject-matter 5 feet over the top of the orb?

Problem 5:


Find the gross



Problem 6:


Find the gross



Problem 7:


Use the determination of an unbefitting gross to evaluate the fond gross:




Problem 8:


Find the informal grosss and evaluate the positive grosss. A point exexchange of changeable is suggested.

Problem 9:


Evaluate the gross



Problem 10:


Evaluate the gross



Problem 11:


Evaluate the gross




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 following adown is monotonic increasing, monotonic decreasing, or neither:





Problem 14:


Each specific washing of a two of overalls removes 80% of the radioactive particles rooted to the overalls. Represent, as a following of mass, the percent of the ancient radioactive particles that rest following each washing.

Problem 15:


Calculate the esteem of the particular sum for n = 4 and n = 5, and invent a formula for sn. (The patterns may be over manifest if you do not disencumber each signal.)

Problem 16:


In the Nursing essay of the Gross Test, we ascititious an disproportion inclosure the esteems of the particular sums  between the esteems of two grosss:



Problem 17:


Use any of the methods versed from this MATH141 adjust to indicate whether the fond sequence incline or deviate. Concede reasons for your answers.



Problem 18:


 Determine whether the fond sequence Incline Absolutely, Incline Conditionally, or Diverge, and concede reasons for your conclusions.



Problem 19:


Find the gap of inclinence for the sequence adown. For x in the gap of inclinence, invent the sum of the sequence as a business of x. (Hint: You perceive how to invent the sum of a geometric sequence.)



Problem 20:


Represent the gross as a numerical sequence:




Use the sequence resemblance of these businesss to consider the limits.



Determine how sundry signals of the Taylor sequence for f(x) are needed to near f to following a whilein the fixed fault on the fond gap. (For each business use the feeling c = 0.)


             amid 0.001 on [-1, 4].