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When the ciliary muscles relax the tension on the suspensory ligaments increases and the lens flattens birth control for women zumba buy mircette 15 mcg without a prescription. Remember the ciliary muscle is a sphincter muscle so when it contracts its diameter decreases birth control for women in their 40s buy mircette overnight delivery, reducing tension on the ligaments attached to birth control for women hd mircette 15mcg discount the lens capsule birth control pills killing women mircette 15mcg fast delivery. As was mentioned above, this cavity is filled with the aqueous humor produced by the ciliary processes. Aqueous humor is a watery fluid produced continually and circulates through the cavity before being reabsorbed into the blood. It is important in maintaining proper intraocular pressure as well as circulating nutrients and removing wastes to the cells of the lens and cornea. If the normal circulation is blocked it can result in an inappropriate increase in pressure, a condition known as glaucoma. The posterior chamber of the anterior cavity would be a very small space between the iris and the lens. It also is important in maintaining intraocular pressure, but unlike aqueous humor, turns over very slowly. Focusing Light on the Retina In order to clearly see any object, the first thing that has to happen is that the light reflected off of the object must be focused on the retina. In order to see the nose clearly, all of the light reflecting from it must be focused on a single spot on the retina. The physics behind this 320 phenomenon has to do with the fact that as light passes through objects of different densities its speed changes. If it strikes the object at a 90 degree angle, even though its speed changes it maintains a straight path. However, if it strikes the object at any other angle (not 90 degrees) it is refracted (see image below). We have two convex structures in the eye to bend the light, the cornea and the lens. Also their densities are different than the air and they are different than the aqueous and vitreous humors. However, depending on how close the object is to our eyes the light will be diverging at different angles. The closer it is, the more the light diverges and the more it must be refracted to focus properly. This requires that we be able to adjust the curvature of our refracting surfaces in order to focus properly. The cornea is an excellent refractor, in fact it is responsible for most of the required bending of the light. The lens, on the other hand, is adjustable due to its elasticity and the actions of the ciliary muscle. As the lens becomes thicker its focal point shortens and it is able to bend light more sharply. On the other had other hand as the lens flattens its focal point becomes longer and it bends the light to a lesser degree. Lets see if we can put this all together and explain we focus objects at different distances from the eye. Illustration of light refraction through a prism which cause the light rays to bend and converge at a single focal point. At this distance the normal eye is designed to focus the object properly without any thickening of the lens. The closest distance at which the lens does not have to thicken for proper focusing is called the far point of vision. For anything less than this distance from the eye, three things must happen to properly focus the object on the retina. As objects continue to move closer the lens will thicken more and more until it is at its maximum thickness. The closest point that at which we can keep the object in focus is called the near point of vision.
We can therefore try to use the second derivative to determine whether we have an absolute maximum birth control for women hairstyle order mircette 15 mcg on-line. O Thus birth control pills ortho tri cyclen order mircette overnight, the stereo manufacturer makes a maximum profit of $237 birth control migraines purchase mircette american express,100 by producing and selling 490 stereos birth control for women 2015 order 15mcg mircette with visa. We can estimate what the maximum profit might be by looking for the widest gap between R1x2 and C1x2, when R1x2 7 C1x2. Note that when production is too low 16 x 02, there is a loss, perhaps due to high fixed or initial costs and low revenue. When production is too high 17 x 22, there is also a loss, perhaps due to the increased cost of overtime pay or expansion. By keeping records, a theater determines that at an admission price of $26, it averages 1000 people in attendance. What admission price should the theater charge in order to maximize total revenue Solution Let x be the number of dollars by which the price of $26 should be decreased. Note that the increase in ticket sales is 50x when the price drops x dollars: R1x2 = = = = R1x2 = 1Revenue from tickets2 + 1Revenue from concessions2 1Number of people2 # 1Ticket price2 + 1Number of people2 # 4 11000 + 50x2126 - x2 + 11000 + 50x2 # 4 26,000 - 1000x + 1300x - 50x 2 + 4000 + 200x, - 50x 2 + 500x + 30,000. Therefore, in order to maximize revenue, the theater should charge $26 - $5, or $21 per ticket. Since this is the only critical value, we can use the second derivative, O Quick Check 5 Minimizing Inventory Costs A retail business outlet needs to be concerned about inventory costs. Suppose, for example, that an appliance store sells 2500 television sets per year. But then the owners would face the carrying costs (insurance, building space, and so on) of storing them all. Thus, they might make several, say 5, smaller orders, so that the largest number they would ever have to store is 500. However, each time they reorder, there are costs for paperwork, delivery charges, labor, and so on. It seems, therefore, that there must be some balance between carrying costs and reorder costs. We are trying to minimize the following function: Total inventory costs = 1Yearly carrying costs2 + 1Yearly reorder costs2. If x units are ordered each period, then during that time somewhere between 0 and x units are in stock. To have a representative expression for the amount in stock at any one time in the period, we can use the average, x>2. This represents the average amount held in stock over the course of each time period. If the lot size is 2500, then during the period between orders, there are somewhere between 0 and 2500 units in stock. If the lot size is 1250, then during the period between orders, there are somewhere between 0 and 1250 units in stock. How many times per year should the store reorder, and in what lot size, to minimize inventory costs Inventory costs are given by We consider each component of inventory costs separately. Thus, Yearly carrying costs = a Yearly cost # Average number b a b per item of items x = 10 #. Thus, Yearly reorder costs = a Cost of each # Number of b a b order reorders 2500 = 120 + 9x2.
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Each arm is in this position during an average of approximately 12% of the stroke cycle among collegiate male swimmers (81) birth control for 16 year olds cheap mircette 15 mcg mastercard. It has been hypothesized that if the serratus birth control pills mood swings generic 15 mcg mircette with visa, which develops nearly maximum tension to birth control for female bodybuilders purchase genuine mircette on line accomplish this task birth control sponge 15 mcg mircette fast delivery, becomes fatigued, the scapula may not be rotated sufficiently to abduct the humerus freely, and impingement may develop (56). Swimming technique appears to be related to the likelihood of developing shoulder impingement in swimmers, with a large amount of medial rotation of the arm during the pull phase, late initiation of lateral rotation of the arm during the overhead phase, and breathing exclusively on one side all implicated as contributing factors (65, 82). Overarm sport activities such as pitching in baseball often result in overuse injuries of the shoulder. Rotational Injuries Tears of the labrum, the rotator cuff muscles, and the biceps brachii tendon are among the injuries that may result from repeated, forceful rotation at the shoulder. Throwing, serving in tennis, and spiking in volleyball are examples of forceful rotational movements. Tears of the rotator cuff, primarily of the supraspinatus, have been attributed to the extreme tension requirements placed on the muscle group during the deceleration phase of a vigorous rotational activity. There is a region of low vascularity near the insertion of the supraspinatus tendon, which is the most common site of rotator cuff inflammation and tears (49). The fact that vascularization diminishes with aging may explain why rotator cuff problems occur more frequently in individuals over 40 years of age (49). Tears of the biceps brachii tendon at the site of its attachment to the glenoid fossa may result from the forceful development of tension in the biceps when it negatively accelerates the rate of elbow extension during throwing (51). Other pathologies of the shoulder attributed to throwing movements are calcifications of the soft tissues of the joint and degenerative changes in the articular surfaces (62). Bursitis, the inflammation of one or more bursae, is another overuse syndrome, generally caused by friction within the bursa (64). Subscapular Neuropathy Subscapular neuropathy, or subscapular nerve palsy, most commonly occurs in athletes involved in overhead activities and weight lifting (16). It has been reported in volleyball, baseball, football, and racquetball players, as well as backpackers, gymnasts, and dancers. The condition arises from compression of the subscapular nerve, which occurs most commonly at the suprascapular notch. In volleyball players, it has been attributed to the repeated stretching of the nerve during extreme shoulder abduction and lateral rotation, such as occurs during the serving motion (23). All are enclosed in the same joint capsule, which is reinforced by the anterior and posterior radial collateral and ulnar collateral ligaments. Flexion and extension are the primary movements, although in some individuals, a small amount of hyperextension is allowed. Humeroradial Joint the humeroradial joint is immediately lateral to the humeroulnar joint and is formed between the spherical capitellum of the humerus and the proximal end of the radius (Figure 7-19). Although the humeroradial articulation is classified as a gliding joint, the immediately adjacent humeroulnar joint restricts motion to the sagittal plane. Olecranon process Annular ligament Oblique ligament Radius Annular ligament Ulnar collateral ligament Radial collateral ligament Ulna Radius Proximal Radioulnar Joint the annular ligament binds the head of the radius to the radial notch of the ulna, forming the proximal radioulnar joint. This is a pivot joint, with forearm pronation and supination occurring as the radius rolls medially and laterally over the ulna (Figure 7-20). No particular functional significance has been associated with the carrying angle. The muscles classified as primary movers of the elbow are summarized in Table 7-2.
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