If a homogeneous system of 25 equations with 20 variables has 5 linearly independent solutions and all other solutions can be constructed as linear combinations of these 5 solutions. Answer the following: (a)  Nul A is a subspace of R^[a] (b)  dim(Nul A) = [b] (c)  dim(Row A) = [c] (d)  The corresponding nonhomogeneous system [d] consistent for each b

Blood calcium must be tightly regulated to prevent health problems. In the case of low blood calcium, chemoreceptive cells within the parathyroid glands detect the drop in Ca2+. This signals the synthesis of the hormone calcitriol. Calcitriol enters the blood, and encourages the uptake of calcium along the intestine, inhibits the loss of calcium in the urine, and encourages osteoclasts to resorb bone and release calcium into the blood, leading to a return to homeostasis.   What structure serves as an effector?

Blood calcium must be tightly regulated to prevent health problems. In the case of low blood calcium, chemoreceptive cells within the parathyroid glands detect the drop in Ca2+. This signals the synthesis of the hormone calcitriol. Calcitriol enters the blood, and encourages the uptake of calcium along the intestine, inhibits the loss of calcium in the urine, and encourages osteoclasts to resorb bone and release calcium into the blood, leading to a return to homeostasis.   What structure is the control center? 

When added to water a(n) [CLOZE_01] will disassociate and release H+ ions, whereas when a(n) [CLOZE_02] is added to water, it absorbs free H+ ions.

Blood calcium must be tightly regulated to prevent health problems. In the case of low blood calcium, chemoreceptive cells within the parathyroid glands detect the drop in Ca2+. This signals the synthesis of the hormone calcitriol. Calcitriol enters the blood, and encourages the uptake of calcium along the intestine, inhibits the loss of calcium in the urine, and encourages osteoclasts to resorb bone and release calcium into the blood, leading to a return to homeostasis.   In this example, what structure is the receptor? 

Which component of homeostatic control systems is responsible for sending out the response to a stimulus?

The release of which hormone is controlled by the hypothalamus?

Extra Credit: Explain the role of the endolymph of the semicircular canals in activating the receptors during motion.

What type of receptor cells are responsible for detecting odors?

Which part of the eye controls the amount of light that enters?