See the attached file for questioins


1:

 

             

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].