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A curve is defined by the parametric equations x = 2t and y = 4t^2 + t. Find the gradient of the curve when t = 4

the gradient of the curve = dy/dx and dy/dx = (dy/dt)(dt/dx) dy/dt = 8t + 1 dx/dt = 2 therefore dt/dx = 1/2 dy/dx as above = (8t + 1) * 1/2 = (8t + 1)/2 where t = 4, dy/dx = (8*4 + 1)/2 = (32 + 1)/2 = 33/2
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Answered by Angus B. • Maths tutor
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Give an advantage of hard water.

Hard water tastes better.
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Answered by Angus B. • Chemistry tutor
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Discuss the accuracy of the terms "one gene, one protein"; "one gene, one enzyme"; and "one gene, one polypeptide."

The phrase "one gene, one protein" is inaccurate, as shown by the example of haemoglobin: this protein contains prosthetic haem groups which are not made by the activity of any gene, therefore gene...
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Answered by Angus B. • Biology tutor
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Nancy is driving and makes a wrong turn. The satnav indicates that her journey will take an extra 7 minutes. Nancy drives at an average speed of 60km/h to the nearest 5km/h. What's the greatest possible distance traveled in this detour in km to 2.d.p?

Start by selecting useful information in the text.time = 7 minutesspeed = 60km/h to the nearest 5km/hmaximum possible distance travelled = ? kmWe know a time and speed and want to know a distance. So we can ...
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Answered by Louis G. • Maths tutor
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Describe the steps in Eukaryotic cell division

Cell division is split into interphase which encompasses G1, S and G2 phase after which is mitosis which is also split into Prophase, Metaphase, Telophase and Anaphase (PMAT - Pilots Make Arrivals Timely) In...
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Answered by Krupa T. • Biology tutor
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