Math 4109 Modules 16 – 20 2025/2026
Exam Questions and Detailed Answers |
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What is Newton's third law of motion due to gravity? - 🧠ANSWER ✔✔To
every action there is an equal and opposite reaction
Working independently of Newton, what other mathematician developed
the basics of calculus at just about the same time? - 🧠ANSWER ✔✔Leibniz
Newton was the Lucasion Professor of Mathematics at which university? -
🧠ANSWER ✔✔University of Cambridge
Using Newton's Method, what is the formula for determining the nth term in
a sequence of approximations to a solution of a polynomial equation -
🧠ANSWER ✔✔xn = xn-1 - f(xn-1)/f'(xn-1)
What is the restriction on the function f(x) in the fundamental theorem of
calculus? - 🧠ANSWER ✔✔f(x) must be continuous on [a,b]
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, Generalized binomial theorem - 🧠ANSWER ✔✔(1+k)^x = 1 + kx + k(k-
1)/2!x^2 + k(k-1)(k-2)/3!x^3....
According to the generalized binomial theorem for (1+k)^x , what restriction
is there for k? - 🧠ANSWER ✔✔|k| < 1
Who wrote the first complete mathematical work by a woman that is in
existence today? - 🧠ANSWER ✔✔Maria Agnesi
Who wrote The Principia? - 🧠ANSWER ✔✔Isaac Newton
How did Newton's generalized binomial theorem improve the expansion of
(a+b)^n? - 🧠ANSWER ✔✔n could be any rational number
What did newton call his method of calculus? - 🧠ANSWER ✔✔Method of
fluxions
Which number did Euler refer to as "nethier nothing, nor greater than
nothing, nor less than nothing" - 🧠ANSWER ✔✔sqrt(-1)
Euler gave several proofs of Heron's formula for the area of a triangle with
side lengths a, b, and c. Area = sqrt(s(s-a)(s-b(s-c)). What is s? -
🧠ANSWER ✔✔Half the perimeter of the triangle
COPYRIGHT©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE. PRIVACY
STATEMENT. ALL RIGHTS RESERVED
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Exam Questions and Detailed Answers |
Get it 100% Correct Answers
What is Newton's third law of motion due to gravity? - 🧠ANSWER ✔✔To
every action there is an equal and opposite reaction
Working independently of Newton, what other mathematician developed
the basics of calculus at just about the same time? - 🧠ANSWER ✔✔Leibniz
Newton was the Lucasion Professor of Mathematics at which university? -
🧠ANSWER ✔✔University of Cambridge
Using Newton's Method, what is the formula for determining the nth term in
a sequence of approximations to a solution of a polynomial equation -
🧠ANSWER ✔✔xn = xn-1 - f(xn-1)/f'(xn-1)
What is the restriction on the function f(x) in the fundamental theorem of
calculus? - 🧠ANSWER ✔✔f(x) must be continuous on [a,b]
COPYRIGHT©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE. PRIVACY
STATEMENT. ALL RIGHTS RESERVED
1
, Generalized binomial theorem - 🧠ANSWER ✔✔(1+k)^x = 1 + kx + k(k-
1)/2!x^2 + k(k-1)(k-2)/3!x^3....
According to the generalized binomial theorem for (1+k)^x , what restriction
is there for k? - 🧠ANSWER ✔✔|k| < 1
Who wrote the first complete mathematical work by a woman that is in
existence today? - 🧠ANSWER ✔✔Maria Agnesi
Who wrote The Principia? - 🧠ANSWER ✔✔Isaac Newton
How did Newton's generalized binomial theorem improve the expansion of
(a+b)^n? - 🧠ANSWER ✔✔n could be any rational number
What did newton call his method of calculus? - 🧠ANSWER ✔✔Method of
fluxions
Which number did Euler refer to as "nethier nothing, nor greater than
nothing, nor less than nothing" - 🧠ANSWER ✔✔sqrt(-1)
Euler gave several proofs of Heron's formula for the area of a triangle with
side lengths a, b, and c. Area = sqrt(s(s-a)(s-b(s-c)). What is s? -
🧠ANSWER ✔✔Half the perimeter of the triangle
COPYRIGHT©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE. PRIVACY
STATEMENT. ALL RIGHTS RESERVED
2
