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Find the gradient at the point (0, ln 2) on the curve with equation e^2y = 5 − e^−x . [4]

Figure out what skills are being tested: implicit differentiation and exponentials and logarithms.e 2y = 5 - e -x 2e 2y (dy/dx) = e -x (dy/dx) = e -x / 2e 2y At (0, ln2) (dy/dx) = e 0 / 2e 2ln2 e 2ln2 = 4 as...
TC
Answered by Theodore C. • Maths tutor
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Calculate the resistance of a uniform wire of diameter 0.5mm, length 2m and resistivity 1.7x10^-8Ωm.

R=ρ L/AR= (1.7*10^-8 2)/(0.0005^2 π/4)R=0.173Ω
HW
Answered by Heather W. • Physics tutor
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Explain what is meant when it is said that there are inefficiencies in the production of goods and the allocation of resources.

The economy achieves optimal allocation of resources when productive and allocative efficiency are attained: · Productive efficiency occurs when products are made using the least possible amount of scarce re...
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Answered by Blanca S. • Economics tutor
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Explain the process of human digestion from the mouth to the stomach.

Food enters the mouth and is digested mechanically and chemically. Mechanical digestion is chewing (mastication) by the teeth and breaks the food into smaller pieces. Chemical digestion is by salivary amylas...
AK
Answered by Akash K. • Biology tutor
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There are 2 green jelly beans, 5 are yellow and 13 are red. Sue picks one jelly bean. What is the possibility that sue pick a jelly bean that is not yellow?

Answer: 3/4 2 green and 13 red therefore 15 of the 20 is not yellow simplifying this probability gives you 3/4.
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Answered by Ann P. • Maths tutor
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