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1. Find the equation of the tangent to:
a) u = x – 2x2 + 3 at x = 2
u1= 1 – 4x
Gradient = 1 – 4(2)
= - 7
The equation of a line is of the form y = mx + c , m is the gradient and c is the y intercept.
When x = 2,
y = 1 – 2(2 x2) + 3
y = 1 – 8 + 3
y = -4
Y = -7x + c substituting the point (2, -4) in the equation we have;
-4 = -7 x 2 + c
-4 + 14 = c
10 = c
y = -7x + 10
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Maps can generally be described as representation of the real world through graphics. However, this representation is usually considered an abstraction of the real world phenomenon (Chorley and Peter, 48). This is mainly as a result of the fact that the universe is infinite and it is quite impossible to capture its entire complexities in a single source. Maps can be used to represent various issues for instance: The distribution of human population, temperatures and other aspects of the environment. In the case of representing the distribution of nature in an accurate manner the following maps can be used:
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This report contains the results of regression analysis for four variables captured in the Springdale community shopping survey. The analysis established that there was significant linear relationship between attitude towards Springdale and ease of return/exchange of goods. However, there was no significant linear relationship between the attitude towards Springdale and a lot of bargain price. On the other hand, it was found that there was significant linear relationship between attitude towards West Mall and a lot of bargain sales. On the contrary, there was no significant linear relationship between attitude towards West Mall and ease of return/exchange of goods.
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Plasmodium falciparum is the parasite responsible for the deadly disease, malaria. The parasite is transmitted through the injection of sporozoites into the human blood stream. These sporozoites are transported in the blood stream to the liver. The sporozoites invade the hepatocytes and differentiate into merozoites. The merozoites invade the RBCs of the host; starting the blood stage of infection. The trophozoite stage ingests and degrades approximately 80% of the hemoglobin in the host cell. The hemoglobin is broken down into peptides due to enzymatic action by a metalloprotease and cysteine and aspartic proteases. Haematin is first released as a byproduct of ...
P. falciparum, is the parasite responsible for the malaria, a disease that causes approximately one million deaths annually. It undergoes the process of erythrocytic schizogony which is responsible for the clinical manifestations of malaria. The trophozoite ingests and degrades approximately 80% of the hemoglobin in the host cell (Brayl 2005). As the trophozoite continues to develop, its endolysosomal system takes up the cytoplasm of the host cell using cytosomes which contains host hemoglobin. Cytosomes are formed by an invagination formed from the PVM (parasitophorous vacuolar membrane) and PPM (parasite plasma membrane) from which transport vesicles are pinched off. These vesicles ...
