33 results authored by Johnny Yi - search across all users.
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No description given
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Differentiate $f(x) = x^m(a x+b)^n$.
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This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve.
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Solve a quadratic equation by completing the square. The roots are not pretty!
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Differentiate
\[ \sqrt{a x^m+b})\]
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Short Video Lectures, followed by questions and video solutions
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Find roots and the area under a parabola
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Given the original formula the student enters the transformed formula.
READY TO USE
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Some impossible-looking questions about quadratic equations which can be solved with a bit of thinking.
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Integration: Definite Integration using e^x, sin(x), and that leads to ln(x), write in decimals Draft
Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$.
No solutions given in Advice to parts a and c.
Tolerance of 0.001 in answers to parts a and b. Perhaps should indicate to the student that a tolerance is set. The feedback on submitting an incorrect answer within the tolerance says that the answer is correct - perhaps there should be a different feedback in this case if possible for all such questions with tolerances.
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Manipulate surds and rationalise the denominator of a fraction when it is a surd.
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Manipulate surds and rationalise the denominator of a fraction when it is a surd.
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Inequality involving a single absolute value, question solution uses the piecewise nature of the absolute value function.
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Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.
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Using simple substitution to find $\lim_{x \to a} bx+c$, $\lim_{x \to a} bx^2+cx+d$ and $\displaystyle \lim_{x \to a} \frac{bx+c}{dx+f}$ where $d\times a+f \neq 0$.
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No description given
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Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$
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Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.
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The derivative of $\displaystyle \frac{ax+b}{cx^2+d}$ is of the form $\displaystyle \frac{g(x)}{(cx^2+d)^2}$. Find $g(x)$.
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Differentiate $\displaystyle e^{ax^{m} +bx^2+c}$
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Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.
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Find roots and the area under a parabola
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Questions which rely on knowledge of standard integrals.
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Definite Intgerals
rebel
rebelmaths
Rebelmaths
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Indefinite Integrals
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rebelmaths
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Antiderivatives
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rebelmaths
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A quadratic is and a graph of it is given. A tangent is also sketch. The equation of the tangent line is asked for.
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A quadratic is and a graph of it is given. A tangent is also sketch. The equation of the tangent line is asked for.
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Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
rebelmaths
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Basic indefinite integrals, Basic definite integrals, integration by substitution
Missing: Area type question, solving diff eq application
