Beta and Alpha receptors are illustrated. What occurs when they are stimulated and antagonized by medication?

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In 1948, adrenergic receptors were subdivided into alpha and beta by Ahlquist (a graduate of the University of Washington). The distinction was based on sensitivities of different organs to catecholamines of closely related structure. Regulation of the functions of different organs depends to a greater or lesser extent on alpha or beta receptors. Pharmacological differentiation of alpha and beta receptors, and application of this technology to the treatment of disease, is an outstanding biomedical achievement.
Alpha receptors are located postsynaptically at sympathetic neuroeffector junctions of many organs. In general, alpha receptors mediate excitation or increased activity of the effector cells. Vascular smooth muscle is an important site of alpha receptors. SNS activity maintains vascular tone, and thus blood pressure, by maintaining a tone of neurotransmitter on vascular alpha receptors.
Beta receptors are also located postsynaptically at sympathetic neuroeffector junctions of many organs. In general, beta receptors mediate relaxation or decreased activity of the effector cells. Thus, blood vessels dilate and uterine smooth muscle relaxes in response to activation of beta receptors. Heart muscle is an important exception to this ...

Let P be the set of all polynomials. Show that P, with the usual addition and scalar multiplication of functions, forms a vector space.
I'm just no good at proofs. I know we are supposed to go through and prove the Vector Space Axioms and the C1 and C2 closure properties. I just don't think I'm doing it successfully. I'm just

The percentage 'y' of impurities per batch in a certain chemical product is a beta random variable with probability density
f(y)={90y^8(1-y) if 0<=y<=1
0 elsewhere
*90 is above 0 in enclosure
What are the values of alphaandbeta?

1. Let f : X -> Y and g : Y -> Z be mappings.
(1) Show that if f and g are both injective, then so is g o f : X -> Z
(2) Show that if f and g are both surjective, then so is g o f : X -> Z.
2. Let alpha = 1 2 3 4 5 andBeta = 1 2 3 4 5
3 5 1 2 4 3 2 4 5 1 .

Find the value of each of the following under the given conditions:
tan alpha = -4/3, alpha lies in quadrant 2; cos beta = 5/6, beta lies in quadrant 1
(a) sin ( alpha + beta) =
(b) cos( alpha + beta) =
(c) sin ( alpha - beta) =
(d) tan ( alpha - beta) =
(simplify answer. Type an exact answer, using radicals as needed.

For alpha, beta an element in S sub n, let alpha~ beta if there exists sigma is an element of S sub n such that sigma alpha sigma inverse = beta. Show that ~ is an equivalence relation on S sub n.

Identify a drug, either natural or man-made, that affects the ANS;
Identify the receptor affected by the drug;
Describe that receptor's normal function;
Describe how the drug affects that receptor's normal function on a molecular scale;
Describe the physiological effect the drug has on the patient and what condition

Find the exact value to the expressions cos(alpha+beta) and sin(alpha+beta) and tan(alpha+beta) under the following conditions..
cos(alpha)=21/29, alpha lies in quadrant 4, and sin(beta)= -4/11, beta lies in quadrant 3.

G-protein linked receptors activate G proteins by reducing the strength of GDP binding. This results in rapid dissociation of bound GDP, which is then replaced by GTP, which is present in the cytosol in much higher concentrations than GDP. What consequences would result from a mutation in the alpha subunit of the G protein that

This solution describes the several forms of the IL-2 receptor complex, and how the different chains are utilized by IL-2 and other cytokines. It describes the signals provided by each of these receptors to the T cell, and the effects that this has on the T cell.