Homework Answers

ACTIVITY IN BASIC CALCULUS

BASIC RULES IN DERIVATIVE

Name: ____________________ Grade & Section: _______________ Date: __________

  Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.

 1. f (x) = -₄x⁵ +___x^-4 - 2468

2. f (x) =____x^-3 - ____x^1/4 - 12x

3.f (x) =____"\\sqrt[4]{x}" ³ - "\\xlongequal{x}"

 4. ( )

√

The temperature at a point is given by T = xyz. Find the average temperature in the cube

with opposite corners at (0,0,0) and (2,2,2).

Determine the average value of F(x, y, z) = xyz throughout the cubical region D

bounded by the coordinate planes and the planes x = 2, y − 2, z = 2 in the first octant.

ACTIVITY IN BASIC CALCULUS

BASIC RULES IN DERIVATIVE

  Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.

1. f(x) = -₄x⁵ + ______x^-4- 2468

2. f (x) =____x^-3- _____x^1/4 - 12x

3.f(x)= ____ "\\sqrt[4]{x}" ³ - "\\xlongequal{}"

4.f (x) = "\\xlongequal{}" - _____x² + "\\sqrt[4]{x}"

Find the volume of the region bounded above by the plane z = y/2 and below by the

rectangle.

R ∶ 0 ≤ x ≤ 4,0 ≤ y ≤ 2

In the numbers {1,3,5,7,9} construct the following:

• List of possible sample size of 3 that can be taken from this sets of numbers.

• Sampling distribution of the sample means fornthe size of 3 and the standard error.