33 results authored by Wan Mekwi - search across all users.
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Exam (7 questions) in Introduction to Calculus
Apply the factor and remainder theorems to manipulate polynomial expressions
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Question in Introduction to Calculus
Write the expression ax2+bx+c in completed square form a(x+p)2+k.
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Exam (7 questions) in Introduction to Calculus
Calculating limits using algebraic techniques
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Question in Introduction to Calculus
Evaluate a rational limit using algebra
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Question in Introduction to Calculus
Evaluate lim using algebra
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Question in Introduction to Calculus
Evaluate a rational limit using algebra
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Question in Introduction to Calculus
Evaluate \displaystyle \lim_{x\to 0} \frac{\sqrt{ax+b} - d}{cx} using algebra
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Question in Introduction to Calculus
Evaluate \displaystyle \quad \lim_{x\to a} \frac{ex+d}{ax^2+bx+c} \quad algebraically.
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Question in Introduction to Calculus
Evaluate \displaystyle \quad \lim_{x\to a} \frac{ax^2+bx+c}{ex+d} \quad algebraically.
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Question in Introduction to Calculus
Evaluate \displaystyle \quad \lim_{x\to a} \frac{ax+b}{x^2+c} \quad algebraically.
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Question in Introduction to Calculus
More work on differentiation with trigonometric functions
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Exam (3 questions) in Introduction to Calculus
Introductory function notions
This assessment reviews some of the material covered in the first lecture session.
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Question in Introduction to Calculus
Solve for x: \log_{a}(x+b)- \log_{a}(x+c)=d
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Question in Introduction to Calculus
Given \rho(t)=\rho_0e^{kt}, and values for \rho(t) for t=t_1 and a value for \rho_0, find k. (Two examples).
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Question in Introduction to Calculus
Apply and combine logarithm laws in a given equation to find the value of x.
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Question in Introduction to Calculus
Solve for x each of the following equations: n^{ax+b}=m^{cx} and p^{rx^2}=q^{sx}.
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Question in Introduction to Calculus
Solve for x: \log(ax+b)-\log(cx+d)=s
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Question in Introduction to Calculus
Solve for x: \displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d.
Make sure that your choice is a solution by substituting back into the equation.
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Question in Introduction to Calculus
Express \log_a(x^{c}y^{d}) in terms of \log_a(x) and \log_a(y). Find q(x) such that \frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))
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Question in Introduction to Calculus
Given a sum of logs, all numbers are integers,
\log_b(a_1)+\alpha\log_b(a_2)+\beta\log_b(a_3) write as \log_b(a) for some fraction a.
Also calculate to 3 decimal places \log_b(a).
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Question in Introduction to Calculus
Use the rule \log_a(n^b) = b\log_a(n) to rearrange some expressions.
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Question in Introduction to Calculus
Rearrange some expressions involving logarithms by applying the relation \log_b(a) = c \iff a = b^c.
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Question in Introduction to Calculus
Solve for x: c(a^2)^x + d(a)^{x+1}=b (there is only one solution for this example).
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Question in Introduction to Calculus
Solve exponential equation of the form a^{kx}=b^{kx+m}.
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Question in Introduction to Calculus
Solve exponential equation of the form a^{kx}=a^{m}.
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Question in Introduction to Calculus
This question tests the student's knowledge of the remainder theorem and the ways in which it can be applied.
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Exam (6 questions) in Introduction to Calculus
Questions on powers, the laws of indices, and exponential growth.
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Question in Introduction to Calculus
Long division of a quartic by a quadratic
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Question in Introduction to Calculus
Quotient and remainder, polynomial division.
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Exam (7 questions) in Introduction to Calculus
Questions involving various techniques for rearranging and solving quadratic expressions and equations