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Given that y = (sin(6x))(sec(2x) ), find dy/dx

We can find dy/dx by using the product rule: If y=uv then dy/dx = u (dv/dx)+ v (du/dx). In this question u= sin(6x) and v= sec(2x).So du/dx= 6cos(6x) and dv/dx=2sec(2x)tan(2x), using our rules for differenti...
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Answered by Eli H. • Maths tutor
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Measles, mumps and rubella (MMR) are dangerous diseases that can be fatal to children. The MMR vaccine is given to children at a young age to produce antibodies against these diseases. Describe how giving the vaccine leads to the production of antibodies.

The vaccine contains weakened or dead antigens (from MMR). These antigens are displayed on antigen-presenting cells which are detected by a specific helper T cell. This stimulates a specific B cell which div...
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Answered by Gracie B. • Biology tutor
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What is transpiration and what factors affect its rate of occurrence? Describe some adaptations of xerophytic plant that reduce water loss via transpiration.

Transpiration is the evaporation of water through open stomata, occurring down the water potential gradient.Factors affecting the rate of transpiration:Light intensity - more stomata will be open to take in ...
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Answered by Jessica T. • Biology tutor
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Which realist explanations of international relations does liberalism accept and which does it reject?

This question could be asked at the beginning of paper one based on one of the sources provided in the exam paper. An example of an answer could be:There are multiple intersections where liberalism accepts r...
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Answered by Ella B. • Politics tutor
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a) Differentiate and b) integrate f(x)=xcos(2x) with respect to x

To differentiate xcos(2x), you first have to use the product rule, because this function is two functions (x and cos(2x) multiplied togetherNow you have x*(cos(2x))'+cos(2x)To differentiate cos(2x) you have ...
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Answered by Danila M. • Maths tutor
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