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How do you calculate the derivatives of trigonometric expressions?

asked Mar 15 in Mathematics by ♦MathsGee Diamond (88,926 points) | 34 views

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How do I compute the derivatives of functions that are explicitly given with some formula?

asked Mar 15 in Mathematics by ♦MathsGee Diamond (88,926 points) | 34 views

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On a graph, what is an x-coordinate?

asked Mar 7 in Mathematics by ♦Maths Genie Bronze Status (7,913 points) | 40 views

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Does the mass of the object affect the falling speed?

asked Feb 18 in Physics & Chemistry by ♦MathsGee Diamond (88,926 points) | 74 views

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Suppose you are walking along the road and observe two cars.

asked Feb 18 in Mathematics by ♦MathsGee Diamond (88,926 points) | 43 views

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The diagram below shows the graphs of \(f(x)=x^2-2\) and \(h(x)=a x^2+b x+c\). The turning point of \(h\) is \(Q(-1 ; 4) . \mathrm{R}\) lies on \(f(x)\) and QR is parallel to the \(y\)-axis.

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 54 views

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A certain company sells \(x\) units of a product. Its profit in rands is given by: \(P(x)=-3(x-17)^2+560\).

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 62 views

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Given: the graph of \(k(x)=-x^2+3 x+10\) with turning point at \(D\). The graph of the straight line \(h(x)=m x+c\) passing through points \(B\) and \(C\) is also shown.

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 59 views

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The sketch shows the graph defined by \(f(x)=a x^2+b x+c\). Which of the following statements \((\boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C}\) or \(\boldsymbol{D})\) is completely true? Circle the correct answer.

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 48 views

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Give the range and domain of the following graph.

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 57 views

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Determine the equations of the graph: \(y=2^{x-p}+q\)

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 45 views

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Calculate the values of \(g ; h ; i\) in the equation below

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 39 views

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Calculate the values of \(d ; e ; f\) in the equation below

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 52 views

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Calculate the values of \(a; b; c\) in the equation below

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 52 views

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The graph of \(f(x)=a x^2+b x+c\) and the straight-line \(g(x)\) are sketched below. A and B are the points of intersection of \(f\) and \(g\). A is also the turning point of \(f\).

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 83 views

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The graphs of \(f(x)=-x^2+7 x+8\) and \(g(x)=-3 x+24\) are sketched below. A and B are the \(x\)-intercepts of \(f\) and \(\mathrm{S}, \mathrm{T}\) and \(\mathrm{R}\) are on the same vertical line.

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 56 views

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The graphs of \(f(x)=c^x+d\) and \(g(x)=\frac{a}{x+p}+q\) are sketched below. The graph \(f\) passes through the point \(B(2 ; 5)\) and the two graphs intersect at \(A(0 ;-3)\).

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 54 views

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How do you find the equation of a parabola given its vertex and focus?

asked Jan 28 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 69 views

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What is a limit of a function?

asked Jan 27 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 61 views

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What is the formula for the perimeter of a triangle?

asked Jan 27 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 51 views

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What is the domain and range of the function $y = \frac{1}{x}$?

asked Jan 27 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 46 views

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What is the equation of the parabola with vertex at $(3,-2)$ and directrix $y=-1$?

asked Jan 27 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 56 views

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What is the equation of the circle with center $(5,3)$ and radius 8?

asked Jan 27 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 57 views

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Prove that the roots of a polynomial with real coefficients are either real or come in conjugate pairs.

asked Jan 27 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 57 views

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Rewrite \(\cos 3 \mathrm{~A}\) in terms of \(\cos \mathrm{A}\)

asked Jan 24 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 50 views

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Rewrite \(\sin 3 \alpha\) in terms of \(\sin \alpha\) :

asked Jan 24 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 50 views

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Point \(\mathrm{M}(-5 ;-12)\) is a point on the Cartesian plane and reflex of \(\mathrm{XO} M=\theta\). Calculate the following without the use of a calculator.

asked Jan 24 in Mathematics by ♦GaussTheBot Diamond (44,867 points) | 76 views

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Determine the domain of the function \(f(x)=\log _2(1-2 x)\).

asked Jan 22 in Mathematics by ♦MathsGee Diamond (88,926 points) | 56 views

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What is the inverse function of \(f(x)=2 x-4\)?

asked Jan 22 in Mathematics by ♦MathsGee Diamond (88,926 points) | 65 views

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Define an inverse function

asked Jan 22 in Mathematics by ♦MathsGee Diamond (88,926 points) | 60 views

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What is the horizontal line test for functions?

asked Jan 22 in Mathematics by ♦MathsGee Diamond (88,926 points) | 65 views

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Find the vertex of the parabola: \(y = x^2 - 4x + 3\)

asked Jan 14 in Mathematics by ♦MathsGee Diamond (88,926 points) | 81 views

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Use the completing the square method to rewrite the quadratic equation \(y = x^2 - 2x + 1\) in vertex form.

asked Jan 10 in Mathematics by ♦MathsGee Diamond (88,926 points) | 53 views

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Determine the vertex and axis of symmetry of the parabola represented by the quadratic equation \(y = -2x^2 + 4x + 3\)

asked Jan 10 in Mathematics by ♦MathsGee Diamond (88,926 points) | 62 views

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Find the circumference of a circle with radius 4.

asked Jan 9 in Mathematics by ♦MathsGee Diamond (88,926 points) | 74 views

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Find the equation of the circle with center $(2,3)$ and radius 5.

asked Jan 9 in Mathematics by ♦MathsGee Diamond (88,926 points) | 66 views

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Find the inverse of the function \(f(x) = 4x - 5\)

asked Jan 9 in Mathematics by ♦MathsGee Diamond (88,926 points) | 52 views

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Given the function \(f(x) = 3x + 5\), find the inverse function

asked Jan 9 in Mathematics by ♦MathsGee Diamond (88,926 points) | 49 views

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Find the inverse of the function \(f(x) = x^2 - 3\)

asked Jan 9 in Mathematics by ♦MathsGee Diamond (88,926 points) | 47 views

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Write \(53,6 \times 10^{-2} \times 10^4\) in standard scientific notation

asked Jan 6 in Mathematics by ♦MathsGee Diamond (88,926 points) | 53 views

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A circle overlaps an equilateral triangle of side length \(100 \sqrt{3}\). The three chords in the circle formed by the three sides of the triangle have lengths 6,36 , and 60 , respectively.

asked Dec 8, 2022 in Mathematics by ♦MathsGee Diamond (88,926 points) | 72 views

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Two ants sit at the vertex of the parabola \(y=x^2\). One starts walking northeast (i.e., upward along the line \(y=x\) ) and the other starts walking northwest (i.e., upward along the line \(y=-x\) ).

asked Dec 8, 2022 in Mathematics by ♦MathsGee Diamond (88,926 points) | 68 views

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Let \(P_1, P_2, P_3, P_4, P_5\), and \(P_6\) be six parabolas in the plane, each congruent to the parabola \(y=x^2 / 16\). The vertices of the six parabolas are evenly spaced around a circle.

asked Dec 8, 2022 in Mathematics by ♦MathsGee Diamond (88,926 points) | 89 views

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Let \(O\) be the center of an equilateral triangle \(A B C\) of area \(1 / \pi\). As shown in the diagram, a circle centered at \(O\) meets the triangle at points \(D, E, F, G, H\), and \(I\), which trisect each of the triangle's sides.

asked Dec 8, 2022 in Mathematics by ♦MathsGee Diamond (88,926 points) | 60 views

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A snail begins a journey starting at the origin of a coordinate plane. The snail moves along line segments of length \(\sqrt{10}\) and in any direction such that the horizontal and vertical displacements are both integers.

asked Dec 8, 2022 in Mathematics by ♦MathsGee Diamond (88,926 points) | 45 views

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Let \(A, B, C, D, E\), and \(F\) be 6 points around a circle, listed in clockwise order. We have \(A B=3 \sqrt{2}, B C=3 \sqrt{3}, C D=6 \sqrt{6}, D E=4 \sqrt{2}\), and \(E F=5 \sqrt{2}\). Given that \(\overline{A D}, \overline{B E}\),

asked Dec 8, 2022 in Mathematics by ♦MathsGee Diamond (88,926 points) | 52 views

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Let \(\triangle P Q O\) be the unique right isosceles triangle inscribed in the parabola \(y=12 x^2\) with \(P\) in the first quadrant, right angle at \(Q\) in the second quadrant, and \(O\) at the vertex \((0,0)\).

asked Dec 8, 2022 in Mathematics by ♦MathsGee Diamond (88,926 points) | 67 views

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The quadrilateral \(A B C D\) is an isosceles trapezoid with \(A B=C D=1\), \(B C=2\), and \(D A=1+\sqrt{3}\). What is the measure of \(\angle A C D\) in degrees?

asked Dec 8, 2022 in Mathematics by ♦MathsGee Diamond (88,926 points) | 55 views

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An L-shaped region is formed by attaching two 2 by 5 rectangles to adjacent sides of a 2 by 2 square as shown below.

asked Dec 8, 2022 in Mathematics by ♦MathsGee Diamond (88,926 points) | 54 views

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How do you create a network graph in R?

asked Dec 6, 2022 in Data Science & Statistics by ♦MathsGee Diamond (88,926 points) | 105 views

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Recent questions tagged graph