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A: Solution of the exact differential equation.
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Q: If y = atan (0) „x =a sec (0) prove or disprove d'y 3 cot(0) 4a dx
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A: Given, z=tanln4x2y with x=sect and y=e2t.To find : The value of dzdt at t=0.
Q: 7. (a) Find dy/dx, when x a(1 + cos 0), y = a (e + sin 0). (b) Differentiate xCOsx w. r. t. (cosx)*.
A: Proceed as shown below...
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Q: SOLVE THE FIRST ORDER DE. dy – yln(yecosx)dx = y sinx dx
A: dy-yln(yecosx)dx=ysinxdx
Q: Find dy/dxin terms of x and y if (x−a)^4+y^4=a^4. Assume that a is a constant. dy/dx= implicit…
A: (x−a)4 +y4 =a4 a is a constant. dy/dx = ?
Q: 4. (y? cos x - 3x²y - 2x) dx + (2y sin x - x3 + Iny) dy = 0, when x = 0, y = e
A: "Since you have asked multiple question, we will solve the first question for you.If you have any…
Q: In(5x +3) dy at x = 0. dx (a) If y = then find et
A: Given; y = ln(5x+3)/e5x
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Q: If z = cos x - e¹, x = 1² + 1 and y = 5 + ln t, then equals: dz dt
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Q: (a) Find the differential dy. y = cos(x)
A: Differentiate the given function with respect to 'x' and find 'dy'.
Q: Q:: If In /x2 + y? =sec(), use implicit differential to proof the following: - dy -x-(x2+y²). sec.…
A: Please see the explanation below..
Q: 7. (a) Find dy/dx, when x = a(1 + cos 0), y = a (0 + sin 0). (b) Differentiate xcosx w. r. t.…
A: Differentiation using Logarithms: When a function appears as an exponent of another function we make…
Q: -If x= cot- VE, y = ;, find dy dx'dx2 at t = 2.
A: We will use the formula (f(g(x))' = f'(g(x))g'(x)uv' = vu'-uv'v2 Given x = cot-1ty = 1t+1 Then dxdt…
Q: If y = x* cos' x-e* In( 7x +1) , then find dy at x=0. dx 3
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Q: H. \ || 20 s s sec (cosx) dy dx siny 3y steb e dx dy >+
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 19. State the order and degree of the differential d y d³y equation dx dy Cosx dx +2 + dx? а. 3, 2…
A: Order of the differential equation The highest derivative in the differential equation is the order…
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Q: The integrating factor of the equation sec? y + xtany= x° is: dy de In|sina| O None of these…
A: We have to find I.F
Q: 1 If y = tanu, u=v--, and v= lnx, dy at x=e? dx what is the value of Select one: a. 0 O b. 1 1 C. d.…
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Q: dW Find at t=0, if dt .3, W = x*y+ zxy whe x = sin2t, y = cos ?
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Q: 25. (y cos x + (2y sen x – xr + In y) dy = 0, y(0) = e 3xy – 2x) dx –
A: The given differential equation is: y2 cos x - 3x2y - 2xdx+2y sen x - x3 + ln ydy=0 ;…
Q: 6) g(z)= . cos(t) dt
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Q: If a = 5+ti and y = 3t - t then dy at t = 1 dz is :
A: as per our guidelines we are supposed to answer only one question. Kindly repost other question as…
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Q: Q1-If x= cot- VE, y =, find 2 dy dy dx'dx at t = 2. t+1
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Q: Solve the initial value problem. dy ху?- сosrsinx а. у (0) %3D 2 dx (1- x?)
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Q: dy %3D 3 e*y* dx +
A: Givendydx+y3=exy4To Find:Solution of a given Bernoulli's equation
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Q: with x=sec t and y=e". Then the value of dz evaluated at dt If z=tan In t= 0 is equal to (Correct to…
A: Given function z=tanln4x2y with x=sect and y=e2t Substitute the x=sect and y=e2t in the given…
Q: The velocity of a particle moving back and forth on a line is y = ds/dt = 6 sin 2t m/sec for all t.…
A: given the velocity of a particle moving back and forth on a line is y = ds/dt = 6 sin 2t m/sec for…
Q: 3) I Cos dydx Ins Iny 4) S S e** dxdy X 1 0
A: 3) Given: ∫π2π∫0x21xcosyxdydx =∫π2π∫0x21xcosyxdydx
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Q: 5. (e* – sin y)dx + cos y dy = 0; when x 0,y = 1/2
A: First we will convert the given differential equation into linear differential equation by…
Q: If x = 3 sin* t and y = 2 cos" t , then find dy at t = dx 4
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Q: dy Find the solution to dx 5xy which passes through the point (0, e). (In y)? y =
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Q: 4 cos x Let y = [, (2t + 1) (t + 8t)'/3 dt. Find dy/dx.
A: We will find out the required derivative for given function.
Q: 1) S 2 sec y (tany – sec y) dy
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: 2²y ds, C:x = cos t, y = sin t, z = t, 0 < t < a/2
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Q: Q: If In/x2 +y2 =sec(), use implicit differential to proof the following: - dy (²+y*). sec?. tan?…
A: lnx2+y2=secyx
Q: 40. (e' sin y+ tan y) dx + (e' cos y + x sec? y) dy = 0
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Q: Determine the solution to this DE: * dy t By 2 dx
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- 38. Prove or disprove that .A developer owns a piece of beachfront land that she intends to developfor residential use. The private returns to the developer are as follows:Return if developed: $50,000Return if undeveloped: $10,000Suppose that three nearby residents would sustain damages from beacherosion if the land is developed. Their damages would be as follows:Resident 1: $20,000Resident 2: $15,000Resident 3: $10,000a.) Is it efficient for the land to be developed?b.) Suppose that the developer has property rule protection of herright to develop. If bargaining costs between the developer and theresidents are zero, describe the likely outcome.c.) How does your answer to part (b) change if it costs the threeresidents a total of $10,000 to organize and act collectively?d.) How can the government use its regulatory authority toovercome the problem of high bargaining costs?e.) What amount of compensation should the developer receive ifshe is prohibited from developing the land and if the development ban isconstrued…Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
- A local energy provider offers a landowner $180,000 for the exploration rights to natural gas on a certain site and the option for future development. This option, if exercised, is worth an additional $1,800,000 to the landowner, but this will occur only if natural gas is discovered during the exploration phase. The landowner, believing that the energy company’s interest in the site is a good indication that gas is present, is tempted to develop the field herself. To do so, she must contract with local experts in natural gas exploration and development. The initial cost for such a contract is $300,000, which is lost forever if no gas is found on the site. If gas is discovered, however, the landowner expects to earn a net profit of $6,000,000. The landowner estimates the probability of finding gas on this site to be 60%. a. Use PrecisionTree to identify the strategy that maximizes the landowner’s expected net earnings from this opportunity. b. Perform a sensitivity analysis on the…The Kleenglass Corporation makes a dishwasherthat has excellent cleaning power. This dishwasheruses less water than most competitors, and it isextremely quiet. Orders have been received fromseveral retail stores for delivery at the end of each ofthe next 3 months, as shown below: MONTH NUMBER OFUNITSJune 195July 215August 205 Due to limited capacity, only 200 of these dish-washers can be made each month on regular time, and the cost is $300 each. However, an extra 15 unitsper month can be produced if overtime is used, butthe cost goes up to $325 each. Also, if there are anydishwashers produced in a month that are not soldin that month, there is a $20 cost to carry this item to the next month. Use linear programming to deter-mine how many units to produce in each month on regular time and on overtime to minimize the totalcost while meeting the demand.INTRUSN DEPTTIME 1 18.3 0 21.82 0 20.43 0 26.38 0 21.32 1 27.52 1 12.79 0 24.84 0 26.49 1 32.16 0 30.1 0 40.42 0 35.25 0 18.9 0 43.14 0 19.57 0 25.41 0 16.07 1 42.98 0 14.13 0 25.46 0 37.22 0 22.72 1 22.93 1 34.38 0 22.91 0 46.73 0 26.69 0 20.77 1 33.99 1 50.55 1 30.6 0 39.91 0 24.72 0 69.68 0 25.3 0 14.09 1 24.01 0 36.65 0 22.08 1 56.06 0 51.35 0 69.29 0 40.51 0 38.91 1 24.01 1 32.59 0 34.94 0 36.68 1 38.33 1 31.82 0 37.03 0 40.42 0 33.24 0 55.71 0 36.74 0 41.57 0 15.88 0 25.15 1 25.81 1 56.54 1 57.97 1 44.94 1 20.45 0 37.52 0 18.82 0 29.06 0 32.21 0 31.14 1 36.96 1 34.59 1 26.12 1 20.5 1 41.24 0 28.33 0 35.33 0 45.24 0 39.88 0 20.05 0 32.46 0 29.17 0 30.98 0 26.84 1 31.94 1 33.32 1 28.94 1 62.27 1 40.12 0 31.1 0 24.11 0 35.4 0 39.41 0 29.06 0 55.37 0 49.54 0 16.93 1 41.36 1 61.24 1 39.48…
- No. Emp. No. Prod. Wkrs. Value Added by Mfg. Cost of Materials Value of Indus. Shipmnts New Cap. Exp. End Yr. Inven. Indus. Grp. 433 370 23518 78713 4 1833 3630 1 131 83 15724 42774 4 1056 3157 1 204 169 24506 27222 4 1405 8732 1 100 70 21667 37040 4 1912 3407 1 220 137 20712 12030 4 1006 1155 1 89 69 12640 13674 3 873 3613 1 26 18 4258 19130 3 487 1946 1 143 72 35210 33521 4 2011 7199 1 171 126 20548 19612 4 1135 3135 1 21 15 23442 5557 3 605 5506 2 3 2 287 163 1 2 42 2 2 2 1508 314 1 15 155 2 6 4 624 2622 1 27 554 2 52 47 2471 4219 2 292 929 3 74 63 4307 5357 2 454 1427 3 13 12 673 1061 1 20 325 3 17 13 817 707 1 84 267 3 169 147 8986 10421 3 534 2083 3 51 41 3145 4140 2 220 697 3 55 44 4076 7125 2 176 1446 3 84 76 3806 8994 2 423 1014 3 61 47 4276 5504 2 464 1291 3 27 22 1239 716 1 22 356 4 200 178 9423 8926 3 200 2314 4 294 250 11045 11121 3 189 2727 4 38 32 1916 2283 1 29 682 4 17 14 599 364 1 21 197 4 34 28 2063 1813 1 20…Suppose that a consumer cannot vary hours of work as he or she chooses. In particular, he or she must choose between working q hours and not working at all, where q > 0. Suppose that dividend income is zero, and that the consumer pays a tax T if he or she works, and receives a benefit b when not working, interpreted as an unemployment insurance payment. a. If the wage rate increases, how does this affect the consumer’s hours of work? What does this have to say about what we would observe about the behavior of actual consumers when wages change? Explained also with the graph b. Suppose that the unemployment insurance benefit increases. How will this affect hours of work? Explain the implications of this for unemployment insurance programs. Explained also with the graphAn advert=isement cla=m that th=eir laptop co=mp=uter batteries are set at 72 operating hours, with proper charging procedures. A study of 5000 ba=tteries of th=ese laptop com=puters is carried out and 20 of them stop ope=ratin=g before 72 hours. Do these exp=erimen=tal results r=eject the c=laim that no more than 0.3 perce=t of the com=pany’s batt=eries will fail du=ring the adv=ertised time= period, with pr=oper char=ging proc=edure=s? hypo testing alpha 0.05 please write it onpaper
- A decision maker has a utility function for monetarygains x given by u(x) (x 10,000)1/2. a Show that the person is indifferent between the sta-tus quo and L: With probability 13, he or she gains $80,000 L: With probability 23, he or she loses $10,000b If there is a 10% chance that a painting valued at$10,000 will be stolen during the next year, what is themost (per year) that the decision maker would be willingto pay for insurance covering the loss of the painting?Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 63% were stolen by professionals (P), whereas 37% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 25% were recovered within 48 hours (R<48), 23% were recovered after 48 hours (R>48), and 52% were never recovered (N). Of the vehicles presumed stolen by amateurs, 33% were recovered within 48 hours, 63% were recovered after 48 hours, and 4% were never recovered. (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours?(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)3. Revenue of Large Businesses Aresearcher estimatesthat the average revenue of the largest businesses in theUnited States is greater than $24 billion.Asample of50 companies is selected, and the revenues (in billions ofdollars) are shown. At a 0.05, is there enough evidenceto support the researcher’s claim? Assume s 28.7.178 122 91 44 3561 56 46 20 3230 28 28 20 2729 16 16 19 1541 38 36 15 2531 30 19 19 1924 16 15 15 1925 25 18 14 1524 23 17 17 2222 21 20 17 20
