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  1. Problems
  2. /Python for Science and Maths
  3. /Solving Equations

Solving Equations

Python Programming
+ Upload a Problem
More in Python for Science and MathsNumPy ArraysGraphs with matplotlibSolving EquationsCalculus by ComputerSimulation and RandomnessData Analysis with pandasChemistry by Computer
10 problems
Type:
1.
A capacitor discharges through a resistor.
High School (11–12), High School (9–10), Undergraduate, General · Solving EquationsStemPy LabStemPy Lab
Hard
2.
The counts per second of a sample at 0, 5, 10, 15, 20, 25 and 30 minutes are 800, 566, 400, 283…
High School (11–12), High School (9–10), Undergraduate, General · Solving EquationsStemPy LabStemPy Lab
Medium
3.
A system Ax = b with n unknowns has one solution if the rank of A is n.
High School (11–12), High School (9–10), Undergraduate, General · Solving EquationsStemPy LabStemPy Lab
Hard
4.
A meal is made from three foods, with x, y and z portions.
High School (11–12), High School (9–10), Undergraduate, General · Solving EquationsStemPy LabStemPy Lab
Medium
5.
A student measures the extension of a spring for five forces.
High School (11–12), High School (9–10), Undergraduate, General · Solving EquationsStemPy LabStemPy Lab
Medium
6.
Find the roots of x⁴ - 10x² + 9 with NumPy.
High School (11–12), High School (9–10), Undergraduate, General · Solving EquationsStemPy LabStemPy Lab
Medium
7.
Try Newton's method on f(x) = √[3]x (use np.cbrt), which has the root x = 0.
High School (11–12), High School (9–10), Undergraduate, General · Solving EquationsStemPy LabStemPy Lab
Hard
8.
Use Newton's method to find √7 as the root of f(x) = x² - 7, starting from x₀ = 7.
High School (11–12), High School (9–10), Undergraduate, General · Solving EquationsStemPy LabStemPy Lab
Medium
9.
A ball is thrown straight up at 15 m/s from the edge of a cliff that is 25 m above the sea.
High School (11–12), High School (9–10), Undergraduate, General · Solving EquationsStemPy LabStemPy Lab
Medium
10.
The equation x³ - 3x + 1 = 0 has three real roots between -3 and 3.
High School (11–12), High School (9–10), Undergraduate, General · Solving EquationsStemPy LabStemPy Lab
Medium