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Two straight paths cross at a junction. One has… | StemPy Lab
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Two straight paths cross at a junction. One has gradient 1 and the other has gradient √3. What is the acute angle between them?
Mathematics
Medium
High School (11–12)
Functions and Calculus › Application of Derivatives
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Two straight paths cross at a junction. One has gradient
1
1
1
and the other has gradient
3
\sqrt{3}
3
. What is the acute angle between them?
15
∘
15^\circ
1
5
∘
30
∘
30^\circ
3
0
∘
45
∘
45^\circ
4
5
∘
75
∘
75^\circ
7
5
∘
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← The curve y = x² - x + 2 is drawn on graph paper. A ruler lies along the line 6x - 2y + 5 = 0 and is slid sideways, without turning, until it just touches the curve. At which value of x does it touch the curve?
For y = x³, the value of x changes from 3 to 3.04. Use a differential to estimate the change in y. →
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