1. Given a. b. C. [(5x + + + + 1) dx Evaluate the indefinite integral above Evaluate the integral above, provided the range of x to be: y < x < y² Get the derivative of the equation obtained in b, with respect to y Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex-x-² +2 Evaluate the following integrals In y 1 + In u a. -dy b. du C. S x√x + 1dx น You want to purchase a machine for your business and you are given 3 different payment schedules: Pay Php 1,500,000 in cash, upfront. 1. ii. Pay equal amount of Php 395,000 for 5 years. iii. Immediate cash outlay of Php 195,750 and afterward Php 215,000 per year for 10 years Determine which schedule is least expensive and most expensive if the interest rate is 10.0%, compounded continuously. Answer must be justified by complete solution. 5. Suppose that the inverse demand and inverse supply functions are pp = 10- 2x and ps = 4 + 2√x, respectively (where x is quantity and p is price). a. ( Show that the equilibrium price is 5 and equilibrium quantity is 25. Using integral determine the consumer, producer and social surplus. b. ( ) Which of the two market players have more bargaining power? 6. Solve for m ffm m(8xy+x)dxdy=3, 0
1. Given a. b. C. [(5x + + + + 1) dx Evaluate the indefinite integral above Evaluate the integral above, provided the range of x to be: y < x < y² Get the derivative of the equation obtained in b, with respect to y Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex-x-² +2 Evaluate the following integrals In y 1 + In u a. -dy b. du C. S x√x + 1dx น You want to purchase a machine for your business and you are given 3 different payment schedules: Pay Php 1,500,000 in cash, upfront. 1. ii. Pay equal amount of Php 395,000 for 5 years. iii. Immediate cash outlay of Php 195,750 and afterward Php 215,000 per year for 10 years Determine which schedule is least expensive and most expensive if the interest rate is 10.0%, compounded continuously. Answer must be justified by complete solution. 5. Suppose that the inverse demand and inverse supply functions are pp = 10- 2x and ps = 4 + 2√x, respectively (where x is quantity and p is price). a. ( Show that the equilibrium price is 5 and equilibrium quantity is 25. Using integral determine the consumer, producer and social surplus. b. ( ) Which of the two market players have more bargaining power? 6. Solve for m ffm m(8xy+x)dxdy=3, 0
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![1. Given
a.
b.
C.
[(5x + + + + + 7) dx
Evaluate the indefinite integral above
Evaluate the integral above, provided the range of x to be: y < x < y²
Get the derivative of the equation obtained in b, with respect to y
Find y = f(x), given
= f'(x) = 2* In 2 + 2ex-x-² +2
dx²
Evaluate the following integrals
In y
1 + In u
a.
-dy
b.
du
C.
S
x√x + 1dx
น
You want to purchase a machine for your business and you are given 3 different payment schedules:
Pay Php 1,500,000 in cash, upfront.
1.
ii.
Pay equal amount of Php 395,000 for 5 years.
iii.
Immediate cash outlay of Php 195,750 and afterward Php 215,000 per year for 10 years
Determine which schedule is least expensive and most expensive if the interest rate is 10.0%, compounded
continuously. Answer must be justified by complete solution.
5. Suppose that the inverse demand and inverse supply functions are pp = 10- 2x and ps = 4 + 2√x, respectively (where x
is quantity and p is price).
a. (
Show that the equilibrium price is 5 and equilibrium quantity is 25. Using integral determine the consumer,
producer and social surplus.
b. (
) Which of the two market players have more bargaining power?
6.
Solve for m
ffm
m(8xy+x)dxdy=3, 0<y<x<1
Bonus (
Show that given R: x € [0,1] Ay € [0,2]
√ [3x²yexy dy dx = 6
2.
3. (
4. (](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0850e4ae-c56b-4d6d-ae24-bae45865eea4%2F1b9eca92-f5ae-4e36-b29b-2f42c8be311a%2Fftg4mq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Given
a.
b.
C.
[(5x + + + + + 7) dx
Evaluate the indefinite integral above
Evaluate the integral above, provided the range of x to be: y < x < y²
Get the derivative of the equation obtained in b, with respect to y
Find y = f(x), given
= f'(x) = 2* In 2 + 2ex-x-² +2
dx²
Evaluate the following integrals
In y
1 + In u
a.
-dy
b.
du
C.
S
x√x + 1dx
น
You want to purchase a machine for your business and you are given 3 different payment schedules:
Pay Php 1,500,000 in cash, upfront.
1.
ii.
Pay equal amount of Php 395,000 for 5 years.
iii.
Immediate cash outlay of Php 195,750 and afterward Php 215,000 per year for 10 years
Determine which schedule is least expensive and most expensive if the interest rate is 10.0%, compounded
continuously. Answer must be justified by complete solution.
5. Suppose that the inverse demand and inverse supply functions are pp = 10- 2x and ps = 4 + 2√x, respectively (where x
is quantity and p is price).
a. (
Show that the equilibrium price is 5 and equilibrium quantity is 25. Using integral determine the consumer,
producer and social surplus.
b. (
) Which of the two market players have more bargaining power?
6.
Solve for m
ffm
m(8xy+x)dxdy=3, 0<y<x<1
Bonus (
Show that given R: x € [0,1] Ay € [0,2]
√ [3x²yexy dy dx = 6
2.
3. (
4. (
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