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13 Nov 2019
1. Find two positive integers such that the sum of the first number and four times the second number is 1000 and the product of the numbers is as large as possible. A particle is moving with af)-sint +3cost, find the position, x()of the particle given x(0)-0, v(0)-2, where v(0) is the initial velocity and t is time in seconds. 2. 3. Use Newton's Method to find 2 correct to five decimal places 4. Find the definite Integrals b) tCosSee Sires) dat 5. Find the Indefinite Integrals a) fr -2sinx+ Inr de b) sina) d sin(In x d) tanx Incosx) d 6. Find the area under the curve, f(x)= sin x at the interval | Ï, Ï | with n = 5 using a) Right-Sum Method b) Left-Sum Method c) In which Method, you have overestimated the actual value, why? 7. Find the derivative of the function: 3x+1 b) Extra Credit: y=l., sin(t*)dt fr(s)-dr , where g (x)-å1+sin(?) dt , find f'(r/2). i. If f(x)- ii. True or false, explain 1+1 a) If f(x)-g(x) for 0
1. Find two positive integers such that the sum of the first number and four times the second number is 1000 and the product of the numbers is as large as possible. A particle is moving with af)-sint +3cost, find the position, x()of the particle given x(0)-0, v(0)-2, where v(0) is the initial velocity and t is time in seconds. 2. 3. Use Newton's Method to find 2 correct to five decimal places 4. Find the definite Integrals b) tCosSee Sires) dat 5. Find the Indefinite Integrals a) fr -2sinx+ Inr de b) sina) d sin(In x d) tanx Incosx) d 6. Find the area under the curve, f(x)= sin x at the interval | Ï, Ï | with n = 5 using a) Right-Sum Method b) Left-Sum Method c) In which Method, you have overestimated the actual value, why? 7. Find the derivative of the function: 3x+1 b) Extra Credit: y=l., sin(t*)dt fr(s)-dr , where g (x)-å1+sin(?) dt , find f'(r/2). i. If f(x)- ii. True or false, explain 1+1 a) If f(x)-g(x) for 0
Collen VonLv2
2 May 2019