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rate of 3 feet per second and the width is decreasing at 2 feet per second (see figure below). How fast is the perimeter changing? Solution Given dl/dt=3 And dw/dt=-2 Then dp when l=12 ft and w=8ft Perimeter= 2l+2w Dp/dt=d/dt{2l+2w} =2dl/dt+2dw/dt=2(3)+2(-2) =2 ft/sec How fast is the area changing? Solution Given dl/dt=3, dw/dt=-2 Da/dt when l=12 ft , w=8ft Area=lxwDa/dt=d/dt{lxw} =Dl/dt*w+dw/dt*l =3(8)+ 12(-2) =0 ft2/sec (c) Find all critical points and local extremes of the following function on the given intervals. f (x) = 2-x3 on Solution To find the critical points, take derivative: f’(x)=-3x2 f’(X)= 0 0=-3x2 X=0 For absolute minima and...

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rate of 60 miles per hour and the other travels north at a constant rate of 70 miles per hour. Find the rate at which the distance between the cars is changing 1 hour later. You may round your answer to two digits after the decimal sign. Distance = Rate x Time A = 60 x 1 = 60 Miles B = 70 x 1 = 70 Miles 3619508953500 70 z 60 x2+y2=z23600 + 4900 = z2 Z = 92.20 X = 60 Y = 70 Z = 92.20 dx/dt = 60dy/dt = 70dz/dt x2+y2=z22x. dx/dt + 2y. dy/dt = 2z. dz/dt x. dx/dt + y. dy/dt = z. dz/dt 60(60) + 70(70) = 92.2. dz/dt 8500/92.2 = dz/dt = 92.20 (e) Find if and find an equation of the tangent line to the graph of at dydxx+y=1+y'cosxyy+xy'=1+y' ycosxy-1=y'-xcos(xy)y'...

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rate the quality of information we send them. This way we will improve your experiences with our organization. Most importantly adding you to our whitelist will help us to give you secured information, get you accurate information and help us minimize false positives from our feedbacks. Thank you for being with us we are looking forward to improving the experiences of all our subscribers. Reference FinJan CyberSecurity. (2018). Blacklisting vs Whitelisting - Understanding the Security Benefits of Each. Finjan Blog. Retrieved 17 February 2018, from...

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rate which as a result leads to a rise in body temperature (Garcia-Reyero, 2017). In order to sustain this, more oxygen is required resulting in increased heart rate. The growth of muscles, bones, connective tissues and growth of the nervous system also requires thyroid hormone. Question 2 An overactive thyroid causes the metabolic rate to rise above normal. This causes a rise in body temperature, hence the sweating and increase in heart rate. Since her calorie intake doesn’t increase, it results in weight loss. The increased metabolism requires more oxygen hence the increased heart rate. Question 3 Thyroid Stimulating Hormone, TSH, stimulates the thyroid gland to discharge its hormones, but...

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rate taxes is part systematic and unsystematic risks as it affects the calculation of tax expenses of both Big Widget and companies trading on the bourse, and prices are likely to change. 11.8. This possibility exists. Theoretically, which is to develop a 0-beta portfolio of risky securities, where returns are equal to the risk-free rate (Bali, Brown & Caglayan, 2012). There is another possibility of a negative beta, and in which case, the return is less than the risk-free rate. 13. Expected return on the stock = risk-free rate + (expected return on the market – risk free rate)8beta = 0.036 + 1.23(0.109-0.036) = 12.579% The expected return = 12.58% 14. Expected return on...

rate, paying its bills at the right time, growing sales and is not overleveraged. In contrast, WannaBees should not receive the loan since it is unable to meet its immediate obligations. This is evidenced by the fact that for every $1 of current liability, the company has $0.29 liquid value. The figures show that WannaBees is collecting its receivables at a very slow rate, experiencing declining growth and is overleveraged. As a result, acid-test ratio results show that Potz and Pans should get the loan while WannaBees should not get the...

rate (%) Utilization rate= (average output rate/maximum capacity)*100% Average output= 160*3 minutes = 480 minutes Maximum capacity= 8*60 =480 minutes Utilization rate= (480/480)*100%=100% Capacity cushion = 100% - 100% = 0 Q10. A standard work year is 2000hours at the Luther Mill and it takes about an hour and a half to fill a customer order. Last year saw 25000 customer orders at the mill and the manager has a rebuilt Ford 9N as a company car, so he hopes that there is an increase of 2% in customer orders for next year. If the manager hires twenty workers, what is the capacity cushion? Solution; Capacity cushion=100% - utilization rate (%) Maximum capacity = 2000*20= 40000...