ECON1003 Quantitative Methods in Economics S1 2023 Problem Set 5
Hello, dear friend, you can consult us at any time if you have any questions, add WeChat: daixieit
ECON1003 S1 2023
Problem Set 5
1. Calculate the integral for the following:
a. x + x3 + x3.5
b.
c. x2 | 1+ 2 |
d.
Q
2Q−5
e.
Q
2. Integrate the following:
a. j 5 dY b. j (1+0.8t)1.12 dt
c. j e12xdx d. j 4 e2x dx
e. j 100(1−e−0.5Y)dY f. j dx
3. Using the method of integration by substitution, find the integral j dx
4. Evaluate the following jt40e−0.3tdt
5. Find the particular solution for the following differential equations: (a) dy/dx = 5x given y = 4 when x = 2.
(b) dy/dt − 10t − 2 = 0 given y = 15 and t = 0.
2023-06-20