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Differentiate the following: y=(7x^2+2)sinx

Differentiate using the product rule.Product rule: for y=uv , where u and v are functions of x, dy/dx=vdu/dx + udv/dxy=(7x 2 +2)sinx so u=(7x 2 +2) and v=sinx . By differentiating these functions:du/dx=14x a...
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Answered by Eleanor T. • Maths tutor
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Before leaving Les’s house, Neil swallowed some tablets which he found in the bathroom. Subsequently, back in his own flat, he set fire to the carpet (which belonged to the landlord) under the delusion that he was making a camp-fire. The fire spread rapid

It is likely that Neil may be charged with Unlawful Act Manslaughter. The case of Goodfellow derives a four-part test to test whether a person is guilty. This is; whether the defendant has committed an unlaw...
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Answered by Oliver A. • Law tutor
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Given the rate of thermal energy transfer is 2.7kW, the volume of the water tank is 4.5m^3, the water is at a temperature of 28oC, density of water is 1000kgm-3 & c=4200Jkg-1K-1. Calculate the rise in water temperature that the heater could produce in 1hr

The equations needed to solve this problem are outlined below. E = mc(T 2 - T 1 ) d = m/v P = E/tYou first need to work out the mass of the water. m = 1000 x 4.5 = 4500kg You then need to work out the amount...
JB
Answered by Jasmine B. • Physics tutor
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Describe how animals and plants are adapted to survive in dry conditions such as deserts:

Plants are adapted to survive dry conditions in the following ways: A decrease in surface area of the leaf, such as that found in the rolled-up leaf/spike in cactuses. This decreases the area from which wate...
AO
Answered by Aya O. • Biology tutor
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As a performer, discuss how you would perform the role of Alan in this extract of the Equus in order to convey your interpretation of the character to the audience.

I intend to show Alan’s religious dedication to the horses through juxtaposingAlan’s physicality before and after the ‘horses’ enter the stage. I will begin the extract upstage right at ¼ profile right, maki...
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Answered by Aya O. • Drama tutor
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