Calculus Help

MATH 140 Quiz 1 NAME___________________________ Professor: Dr. J. Beyers

INSTRUCTIONS

· The quiz is worth 100 points.

· This quiz is open book and open notes . This means you may refer to your textbook, notes, and online classroom materials. You may take as much time as you wish, provided you turn in your quiz no later than the due date posted in our syllabus.

· You must show all work in order to receive full credit. If you do not show your work, you may earn only partial or no credit at the discretion of the professor.

· Emailed quizzes and exams will not be accepted (they crash my email system). Thank you for understanding.

· If you have any questions, please feel free to send me a PAGER message in LEO.

Best of luck!

MULTIPLE CHOICE Select the best answer choice. Write your answer choices below:

(1) _____

(2) _____

(3) _____

(4) _____

(5) _____

(1) _____ The figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 2 units long. Express the area of the rectangle in terms of x.

(A) , for

(B) , for

(C) , for

(D) , for

(E) none of the above

(2) _____ The figure shows the graph of a function g(t) with domain [-4, 0] and range [-3, 0]. Find the domain and range of –g(t – 4).

(A) D = all real numbers; R = all real numbers

(B) D = [-4, 0]; R = [-3, 0]

(C) D = [0, 4]; R = [0, 3]

(D) D = [-8, -4]; R = [0, 3]

(E) none of the above

(3) _____ Determine how much time is required for an investment to triple in value if interest is earned at the rate of 5.75% compounded continuously.

(A) not enough information

(B) 52 years

(C) 5 years

(D) 19 years

(E) none of the above

(4) _____ Use the change of base formula to find given that

(A) -1.04

(B) 0.69

(C) 0.35

(D) -3.00

(E) none of the above

(5) _____ Find functions f, g, and h such that

(A)

(B)

(C)

(D)

(E) none of the above

(6.)

A continuous function has the values:

(a) f has at least roots between 0 and 5.

(b) in at least ______ places between x = 0 and x = 5.

(c) in at ______ least places between x = 0 and x = 5.

(d) f in at least ______ places between x = 0 and x = 5.

(e) Is it possible for to equal 7 for some x- value(s) between 0 and 5?