148 results authored by Lovkush Agarwal - search across all users.
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Student is asked to drag points onto the unit circle, to represent sin(x) and cos(x), where x is a multiple of 45 degrees.
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A function of the form f(x)= sin(ax+b) is given and plotted. A few points are plotted on the curve. $x$-coordinates are provided for two of them and $y$-coordinate provided for third. Student is required to determine other coordinates.
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$x$ is given and (sin(x),cos(x)) is plotted on a unit circle. Then the student is asked to determine sin(y) and cos(y), where y is closely related to x (e.g. y=-x, y=180+x, etc.)
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Student is asked to sketch square root graph, by plotting several points and selecting the correct graph.
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Student sketches 1/x, by plotting several points and then selecting the graph from a list
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Several graphs are drawn. Student should select those that are logarithmic
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Several graphs are drawn. Student should select those that are cubics
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Several graphs are drawn. Student should select those that are quadratics.
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A constant function is drawn and is labelled f'. Student is asked to select the graph which could be f.
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A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four version of this question: I: cubic, II: linear, III: quadratic, IV: sinusoisal.
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A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four version of this question: I: cubic, II: linear, III: quadratic, IV: sinusoisal.
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A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four version of this question: I: cubic, II: linear, III: quadratic, IV: sinusoisal.
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A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four version of this question: I: cubic, II: linear, III: quadratic, IV: sinusoisal.
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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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Given a graph of a cubic, the student is asked how many stationary points f has.
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A quartic is given and the student is asked whether the gradient is positive or negative at various values of x.
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Graphs are given with areas underneath them shaded. The area of the shaded regions are given. From this, the value of various integrals are to be deduced.
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$f(x)= c\ln(ax^2+bx)-x$ is sketched. A tangent is also sketched. The equation of the tangent line is asked for. Shorter because in the original, I also ask for the $x$-coordinate of the maximum point.
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Graphs are given with areas underneath them shaded. The student is asked to select or enter the correct integral which calculates its area.
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A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.
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A quartic graph is given. The question is to determine whether the gradient is positive or negative at various values of x. Non-calculator. Advice is given.
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A cubic with a maximum and minimum point is given. Question is to determine coordinates of the minimum and maximum point. Non-calculator. Advice is given.
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A parabolic graph is given. The question is to determine the equation of the graph. Non-calculator. Advice is given.
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A graph of a straight line $f$ is given. Questions include determining values of $f$, of $f$ inverse, and determing the equation of the line. Non-calculator. Detail advice is given.
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Differentiate the function $f(x)=(a + b x)^m e ^ {n x}$ using the product and chain rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1} e ^ {n x}g(x)$. Non-calculator. Advice is given.
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Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.
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No description given
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Some clever variable-substitution trickery to randomly pick two sides of a right-angled triangle to give to a student, and ask for the other.
The sides are set up so they're always Pythagorean triples, and the opposite side is always odd.
As ever, most of the tricky stuff is in the advice.
Because this was created quickly to show how to set up the randomisation, there's no diagram. It would benefit greatly from a diagram.
