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Recent questions tagged tangent


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Given \(A C\) is a tangent of the blue circle and \(B\) is a 90 degrees, what is the area of \(\triangle A B C\) ?
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Determine \(5+12+19+\cdots+54\)
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Determine \(5+12+19+\cdots+54\)Determine \(5+12+19+\cdots+54\) ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Apr 8
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What is the equation of the normal to the curve \(y=(3 x+10)^2\) at the point \((-3,1)\) ?
0 answers 228 views
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Let $x^{2}+2 x \arctan y=y \cos x$. Find $y^{\prime}$ at $\left(\dfrac{\pi}{2},-1\right)$.
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Evaluate $\int \dfrac{1}{\left(1+x^{2}\right) \arctan x} d x$
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Determine whether the integral $\int_{0}^{1} \dfrac{1}{\left(1+x^{2}\right) \arctan x} d x$ is convergent or divergent.
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Find $\frac{d}{d x}\left(x \int_{2}^{x^{2}} \frac{1}{9+t^{2}} d t\right)$
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Determine whether the integral $\int_{3}^{3+e} \ln (x-3) d x$ is convergent or divergent. If convergent, give the value the integral converges to.

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Determine whether the improper integral $$ \int_{1}^{\infty} \frac{\ln x}{(x+1)^{2}} d x $$ converges or diverges. If it converges, find its value.

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The unit circle is split into regions by the 4 lines that satisfy. How many of these regions have area \(\frac{\pi}{8}\) ?
1 answer 50 views
The unit circle is split into regions by the 4 lines that satisfy. How many of these regions have area \(\frac{\pi}{8}\) ?The unit circle is split into regions by the 4 lines that satisfy \ \begin{gathered} 6 x^{4}-7 x^{3} y-36 x^{2} y^{2}+ \\ 7 x y^{3}+6 y^{4}=0 \end{ga ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Jan 11
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Show that \(\{(\cos t, \sin t): t \in \mathbb{R}\}=\left\{(x, y): x^{2}+y^{2}=1\right\}\).
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Let $u_{1}=(k, 2,3), u_{2}=(2,3,1), \quad t_{3}=(3,3,2), \quad \mu_{4}=(2,3,1)$ be vectors in $\mathbf{R}^{3}$. Which of the vectors, if any, are equal?

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The equation of a curve is $y=x^{3}-x^{2}-2 x-3$. Find the equation of the tangent to this curve at the point $(3,9)$.
1 answer 241 views
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What is the general equation of a tangent line in calculus?
1 answer 413 views
What is the general equation of a tangent line in calculus?What is the general equation of a tangent line in calculus? ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics May 10, 2021
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Let $\underline{u}=(12,-2)$ and $\underline{v}=(3,0 \quad 1)$ be vectors $m \mathbb{R}^{3}$
0 answers 93 views
Let $\underline{u}=(12,-2)$ and $\underline{v}=(3,0 \quad 1)$ be vectors $m \mathbb{R}^{3}$(a) Let $\underline{u}=(12,-2)$ and $\underline{v}=(3,0 \quad 1)$ be vectors $m \mathbb{R}^{3}$ (i) Calculate $\underline{u} \times \underline{v}$ (ii ...
by Pieter Gold Status
(30,543 points)
asked in Mathematics May 8, 2021
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Can you express the following in terms of a, b and c?
1 answer 65 views
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Can you express the following in terms of a, b and c? Can you express the following in terms of a, b and c? a.    cos θ b.    tan θ c.    s ...
by CT Diamond
(48,306 points)
asked in Mathematics Aug 23, 2020
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Show me how I can evaluate the following without using a calculator.
1 answer 123 views
Show me how I can evaluate the following without using a calculator.Show me how I can evaluate the following without using a calculator. (sin 30° - tan 45°) / (sin 90° - cos 60°) ...
by CT Diamond
(48,306 points)
asked in Mathematics Aug 20, 2020
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Determine the equation of the tangent to the curve
1 answer 138 views
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Determine the equation of the tangent to the curve Determine the equation of the tangent to the curve ...
by Joshua Mwanza Diamond
(51,622 points)
asked in Mathematics May 31, 2020
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Explain what is tangent?
1 answer 108 views
Explain what is tangent?Explain what is tangent? ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Apr 30, 2020
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In the diagram below, BOC is a diameter of the circle. AP is a tangent to the circle at A and AE=EC.
1 answer 950 views
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In the diagram below, BOC is a diameter of the circle. AP is a tangent to the circle at A and AE=EC. In the diagram below, BOC is a diameter of the circle. AP is a tangent to the circle at A and AE=EC.   Prove that: BA $\parall ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Apr 9, 2020
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O is the centre of circle TNSPR. $P\hat{O}S = 60^{\circ}$ and PS=NT
1 answer 276 views
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O is the centre of circle TNSPR. $P\hat{O}S = 60^{\circ}$ and PS=NT O is the centre of circle TNSPR. $P\hat{O}S = 60^{\circ}$ and PS=NT Calculate the size of $P\hat{R}S$ and $N\hat{S}T$     ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Apr 9, 2020
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In the diagram below, O is the centre of the circle. CDE is a tangent to the circle at D. DB bisects $A\hat{B}C$. Let $\hat{B_{1}} =x$
1 answer 806 views
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Prove that $AP=BP$
1 answer 118 views
Prove that $AP=BP$Consider a circle, with centre $O$. Choose a point $P$ outside the circle. Draw two tangents to the circle from point $P$, that meet the circle at $A$ ...
by adminTedsf Wooden Status
(2,650 points)
asked in Mathematics Sep 22, 2019
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What is a tangent in geometry?
1 answer 100 views
What is a tangent in geometry?What is a tangent in geometry? ...
by adminTedsf Wooden Status
(2,650 points)
asked in Mathematics Sep 22, 2019
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The gradient of the tangent to the curve of $f(x) = -2x^{2}$ at a point $(a;b)$ on the curve is 6. Determine the value of a
1 answer 441 views
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