Irfan Islam stion 7 Read the following related rates problem and possible solution. et answered Two...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Irfan Islam stion 7 Read the following related rates problem and possible solution. et answered Two very well trained cats start at the same location and travel in perpendicular (right angle, 90 degree) directions. Sunshine Cat travels due north at a rate of 6 km/hour. Snoopy Cat travels east at a rate of 2 km/hour. At what rate is the distance between the kitties changing after 3 hours? ked out of 1.0 Flag question We draw a picture of the given information. dc at 3 hours? north dt a 6 km/h 2 km/h Let all variables be as labeled in the diagram. After 3 hours Sunshine Cat has traveled 6-3 18 kilometers northward. After 3 hours, Snoopy Cat has traveled 2-3 6 kilometers eastward. By Pythagorean theorem, at 3 hours, then 2-a +b 2- 18 + 6 360 Also, by Pythagorean theorem, and taking the derivatives w.r.t. time t: 26 2c 2a 2t da =6 and dt db = 2. Subbing those in, along with a 18, 6 6, and c=360, we get and we are given that dt 26 +26 26 2a dt 2V300d 2(18)(6) + 2(6)(2) dt de 240 dt 2/300 120 va60 120 Therelore the distance Lebiben the tO cats is increasing kmh at 3 hoUrS 300 Seloct a reaporse beiow. Select one a The distacie e t decreacing not inaeasng 9 The pped her calcudang io agorean heoen 0I Irfan Islam stion 7 Read the following related rates problem and possible solution. et answered Two very well trained cats start at the same location and travel in perpendicular (right angle, 90 degree) directions. Sunshine Cat travels due north at a rate of 6 km/hour. Snoopy Cat travels east at a rate of 2 km/hour. At what rate is the distance between the kitties changing after 3 hours? ked out of 1.0 Flag question We draw a picture of the given information. dc at 3 hours? north dt a 6 km/h 2 km/h Let all variables be as labeled in the diagram. After 3 hours Sunshine Cat has traveled 6-3 18 kilometers northward. After 3 hours, Snoopy Cat has traveled 2-3 6 kilometers eastward. By Pythagorean theorem, at 3 hours, then 2-a +b 2- 18 + 6 360 Also, by Pythagorean theorem, and taking the derivatives w.r.t. time t: 26 2c 2a 2t da =6 and dt db = 2. Subbing those in, along with a 18, 6 6, and c=360, we get and we are given that dt 26 +26 26 2a dt 2V300d 2(18)(6) + 2(6)(2) dt de 240 dt 2/300 120 va60 120 Therelore the distance Lebiben the tO cats is increasing kmh at 3 hoUrS 300 Seloct a reaporse beiow. Select one a The distacie e t decreacing not inaeasng 9 The pped her calcudang io agorean heoen 0I
Expert Answer:
Related Book For
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
Posted Date:
Students also viewed these mathematics questions
-
1) Water is flowing at a rate of 6 m^3/min from a reservoir shaped like a hemispherical bowl of radius 13 m, shown here in profile. Answer the following questions, given that the volume of water in a...
-
Consider a 30-year, $160,000 mortgage with a rate of 6 percent. Five years into the mortgage, rates have fallen to 5 percent. What would be the monthly saving to a homeowner from refinancing the...
-
A bicycle travels 3.2 km due east in 0.10 h, then 4.8 km at 15.0east of north in 0.15 h, and finally another 3.2 km due east in 0.10 h to reach its destination. The time lost in turning is...
-
1. List five line coding schemes discussed in this book. 2. Define block coding and give its purpose. 3. Define scrambling and give its purpose. 4. Compare and contrast PCM and DM 5. What are the...
-
Suppose that curves C1 and C2 intersect at (x0, y0) with slopes m1 and m2, respectively, as in Figure 4. Then (see Problem 40 of Section 0.7) the positive angle θ from C1 (i.e., from the...
-
What are PHP Data Objects (PDO)?
-
White Company can invest in one of two projects, TD1 or TD2. Each project requires an initial investment of $101,250 and produces the year-end cash inflows shown in the following table. Required 1....
-
The GASB has identied four classes of nonexchange revenues: Derived tax Imposed Government mandated Voluntary For each of the following revenue transactions affecting a city, identify the class...
-
Suppose the consumer has a wage of $52.00 per week to spend on Goods A, B & C. The cost per unit of each of these goods is Good A: $1.00 per unit, Good B: $2.00 per unit, Good C: $4.00 per unit. Use...
-
The following transactions occurred for Ward Technology Solutions: May 1 The business received cash of $ 75,000 and issued common stock to Zoe Ward. 2 Purchased office supplies on account, $ 500. 4...
-
Required: 1. Determine the inventory on March 31 and the cost of merchandise sold for the three-month period, using the first-in, first-out method and the periodic inventory system. Merchandise...
-
It takes a kukui kernal 8-9 minutes to burn completely. It takes 35 kernels to fill one small baby food jar (4 ounces) with the soot, called pau in Hawaiian. The pau is then mixed with pilali (kukui...
-
Conclusion and findings about the company name is Target which is a department store chain Questions four and five should be addressed as the conclusion and findings. The questions are: how might the...
-
Examination of existing software Two (2) existing software in the market. Features of each software and their suitability for the financial management of the Online Media Solutions.
-
A rigid beam of length 490 cm and uniform mass 89 kg suspends two masses on light strings at each end as shown in the figure. If mass m = 33 kg and m2 = 49 kg, at what distance x should the pivot be...
-
Q7 Algebraically, find the inverse of the following function 2y+6=8(x+3)
-
Identity three ways in which the systems approach to diversity and cultural competence in an individual health care organization contributes to improved outcomes. Notes: System approach to culture...
-
Explain the operation of the dividends received deduction.
-
Find the ratios (greater to smaller) of the (a) Intensities, (b) Pressure amplitudes, and (c) Particle displacement amplitudes for two sounds whose sound levels differ by 37 dB.
-
Figure shows two charged particles on an x axis; ?? q = ??3.20 x 10-19 C at x = ?? 3.00 m and q = 3.20 x 10-19 C at x = + 3.00m. What are the (a) Magnitude and (b) Direction (relative to the positive...
-
A series RLC circuit is driven in such a way that the maximum voltage across the inductor is 1.50 times the maximum voltage across the capacitor and 2.00 times the maximum voltage across the...
-
Derive Eq. (13.79). Equation (13.79) Pa 1 (1+K) Mnp Mp-1 k=0 1 (Mnp+k) K k! (Mnp) (1+K,
-
Develop a MATLAB program to calculate the cumulative probability of detection.
-
The sum inside Eq. (13.79) presents a very formidable challenge. It can be, however, computed recursively with relative ease. Develop a recursive algorithm to calculate this sum. Equation (13.79)...
Study smarter with the SolutionInn App