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Find the coordinates that correspond to the maximum point of the following equation: y = −16x^2 + 160x - 256

To solve this problem, the maximum and minimum points of equations can be deduced through the differentiation process. This looks at the gradient of the function and the maximum/minimum value occurs when the...
MW
Answered by Michael W. • Maths tutor
3565 Views

Find the factors of x^3−7x−6

To find the factors of x 3 -7x-6, a method called equating coefficients can be used. Firstly, set the equation to zero and find a suitable number which satisfies the equation, in this case x=-1 satisfies the...
MW
Answered by Michael W. • Maths tutor
12808 Views

A ball of mass 0.7 kg strikes the wall at an angle of 90 degrees with speed 72 km/h. Consider that the bounce lasts for 0.1 s and is perfectly elastic. What is the magnitude of the average reaction force from the wall that acts on the ball?

initial speed: v = 72 km/h = 20 m/s. mass: m = 0.7 kg time of the impact: t = 0.1 s average force: F The speed after impact is the same as initial speed, but velocity has got the opposite direction. Therefor...
FM
Answered by Filip M. • Physics tutor
4498 Views

Outline the positive and negative effects that tourism can have on fragile environments

A great way of approaching this question is by applying a case study such as tourism in Antartica. Geographers argue that Antartica is the only wilderness left in the world - that is to say that it remains l...
SL
Answered by Scott L. • Geography tutor
7722 Views

How do B-Lymphocytes Work?

B-Lymphocytes remain in the bone marrow until they mature and then spread throughout the body, concentrating in the lymph nodes and the spleen.They express a specific intrinsic protein called a B-cell recept...
MJ
Answered by Michael J. • Biology tutor
10167 Views