Honors Calculus Question Bank
Course Introduction
Honors Calculus is a rigorous, in-depth course designed for students with strong mathematical backgrounds who wish to explore the theory and applications of calculus at an advanced level. The course covers fundamental topics including limits, continuity, differentiation, integration, and infinite series, with a particular emphasis on proofs, problem-solving, and conceptual understanding. Students will engage with challenging problems, develop mathematical reasoning skills, and gain a deeper appreciation for the underlying structures of real analysis and calculus. This course is ideal for those planning to pursue further studies in mathematics, science, or engineering.
Recommended Textbook
Calculus Concepts and Contexts Enhanced Edition 4th Edition by James Stewart
Available Study Resources on Quizplus
93 Chapters
713 Verified Questions
713 Flashcards
Source URL: https://quizplus.com/study-set/3715 Page 2
Chapter 2: Extension G: Limits and Derivatives
Available Study Resources on Quizplus for this Chatper
10 Verified Questions
10 Flashcards
Source URL: https://quizplus.com/quiz/74011
Sample Questions
Q1) A baseball diamond is a square with side 90 ft.A batter hits the ball and runs toward first base with a speed of 32 ft/s.At what rate is his distance from second base decreasing when he is halfway to first base? Round the result to the nearest hundredth.
To view all questions and flashcards with answers, click on the resource link above.
Chapter 2: Extension H: Limits and Derivatives
Available Study Resources on Quizplus for this Chatper
5 Verified Questions
5 Flashcards
Source URL: https://quizplus.com/quiz/74012
Sample Questions
Q1) The circumference of a sphere was measured to be 88 cm with a possible error of 0.7 cm.Use differentials to estimate the maximum error in the calculated volume.
To view all questions and flashcards with answers, click on the resource link above.
4
Chapter 3: Extension F: Differentiation Rules
Available Study Resources on Quizplus for this Chatper
5 Verified Questions
5 Flashcards
Source URL: https://quizplus.com/quiz/74018
Sample Questions
Q1) Find the value of the expression accurate to four decimal places. sinh 4
A) 29.3082
B) 55.5798
C) 15.145
D) 27.2899
To view all questions and flashcards with answers, click on the resource link above.
Chapter 4: Extension E: Applications of Differentiation
Available Study Resources on Quizplus for this Chatper
12 Verified Questions
12 Flashcards
Source URL: https://quizplus.com/quiz/74024
Sample Questions
Q1) The sum of two positive numbers is 16. What is the smallest possible value of the sum of their squares?
Q2) Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral triangle of side L = 9 cm if one side of the rectangle lies on the base of the triangle. Round your answer to the nearest tenth.
A) 5.5 cm, 4.4 cm
B) 4 cm, 3.91 cm
C) 4.5 cm, 4 cm
D) 4.5 cm, 3.9 cm
E) 7.5 cm, 2.9 cm
F) 9.5 cm, 3.9 cm
Q3) A farmer with 710 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.What is the largest possible total area of the four pens?
Q4) Find an equation of the line through the point (8,16) that cuts off the least area from the first quadrant.
To view all questions and flashcards with answers, click on the resource link above. Page 6
Chapter 4: Extension G: Applications of Differentiation
Available Study Resources on Quizplus for this Chatper
12 Verified Questions
12 Flashcards
Source URL: https://quizplus.com/quiz/74026
Sample Questions
Q1) What constant acceleration is required to increase the speed of a car from 20 ft/s to 45 ft/s in 4 s?
To view all questions and flashcards with answers, click on the resource link above.
Chapter 7: Extension F: Differential Equations
Available Study Resources on Quizplus for this Chatper
16 Verified Questions
16 Flashcards
Source URL: https://quizplus.com/quiz/74043
Sample Questions
Q1) A trough has vertical ends that are equilateral triangles with sides of length 2 ft.If the trough is filled with water to a depth of 1 ft,find the force exerted by the water on one end of the trough.Round to one decimal place.(The weight density of water is 62.4 lb/ft<sup>3</sup>.)
A) 31.2 lb
B) 62.4 lb
C) 12.0 lb
D) 6.0 lb
Q2) An aquarium is 4 ft long,3 ft wide,and 2 ft deep.If the aquarium is filled with water,find the force exerted by the water (a)on the bottom of the aquarium,(b)on the longer side of the aquarium,and (c)on the shorter side of the aquarium.(The weight density of water is 62.4 lb/ft<sup>3</sup>.)
Q3) Find the center of mass of the system comprising masses m<sub>k</sub> located at the points P<sub>k</sub> in a coordinate plane.Assume that mass is measured in grams and distance is measured in centimeters. m<sub>1</sub> = 3,m<sub>2</sub> = 4,m<sub>3</sub> = 5 P<sub>1 </sub>(-3,5),P<sub>2 </sub>(3,4),P<sub>3 </sub>(-4,1)
To view all questions and flashcards with answers, click on the resource link above.
8
Chapter 10: Extension A: Vector Functions
Available Study Resources on Quizplus for this Chatper
9 Verified Questions
9 Flashcards
Source URL: https://quizplus.com/quiz/74058
Sample Questions
Q1) Find the standard equation of the sphere with center C and radius r. C (3,-5,3); r = 7
A) (x - 3)<sup>2</sup> + (y + 5)<sup>2</sup> + (z - 3)<sup>2</sup> = 49
B) (x - 3)<sup>2</sup> + (y + 5)<sup>2</sup> + (z - 3)<sup>2</sup> = 7
C) (x + 3)<sup>2</sup> + (y - 5)<sup>2</sup> + (z + 3)<sup>2</sup> = 49
D) (x + 3)<sup>2</sup> + (y - 5)<sup>2</sup> + (z + 3)<sup>2</sup> = 7
To view all questions and flashcards with answers, click on the resource link above.
9
Chapter 13: Extension E: Vector Calculus
Available Study Resources on Quizplus for this Chatper
10 Verified Questions
10 Flashcards
Source URL: https://quizplus.com/quiz/74087
Sample Questions
Q1) Let f be a scalar field.Determine whether the expression is meaningful.If so,state whether the expression represents a scalar field or a vector field. curl f
To view all questions and flashcards with answers, click on the resource link above.