How many other shapes contain the same string as the red oval?.

To correctly match the person to the hobby identify the possible hobbies and people before listening, look for related words to hobbies during the listening, and match each member to their hobbies.

What does this task require?

This task requires you to match six members of a family to their hobbies or the activities they like to do.

How do I match the person to their hobbies?

Considering this listening activity can be challenging due to the possibilities in hobbies vs members of the family, you can follow these steps:

• Before reading: Identify all the members of the family and hobbies based on the images provided.
• Listen to the audio and look for words related to hobbies, for example, go fishing or playing badminton.
• Based on the information match one by one the members of the family to their hobbies. For example, if you listen to "Her son likes to play badminton" you can match her son to the image that represents badminton.

Note: This question is incomplete because the audio is not provided; due to this, I answered it based on general knowledge.

Your mass in Quebec canada (elevation 322 feet) is 62 Kg

Definition of mass

Mass is simply defined as the quantity of matter present in an object. It is measured in kilogram (Kg)

Description of mass

The mass of an object is constant irrespective of the location of the object.

This simply means that if your mass is 62 Kg in Cairo, egypt (elevation 75 feet), then your mass will also be 62 Kg in Quebec canada (elevation 322 feet)

The value of \frac{dy}{dx} is -3. \blacksquare

Procedure - DifferentiabilityChain rule and derivatives

We derive an expression for \frac{dy}{dx} by means of chain rule and differentiation rule for a product of functions:

\frac{d}{dx}[f(x)\cdot g(y)] = [f'(x)\cdot \frac{dx}{dx}]\cdot g(y) + f(x) \cdot [g'(y)\cdot \frac{dy}{dx} ]

\frac{d}{dx}[f(x)\cdot g(y)] = f'(x)\cdot g(y) +f(x)\cdot g'(y)\cdot \frac{dy}{dx} (1)

If we know that f(x) \cdot g(y) = 17-x-y, f(-2) = 3, f'(-2) = 4, g(4) = 5 andg'(4) = 2, then we have the following expression:

-1-\frac{dy}{dx} = (4)\cdot (5) + (3)\cdot (2) \cdot \frac{dy}{dx}

-1-\frac{dy}{dx} = 20 + 6\cdot \frac{dy}{dx}

7\cdot \frac{dy}{dx} = -21

\frac{dy}{dx} = -3

The value of \frac{dy}{dx} is -3. \blacksquare

RemarkThe statement is incomplete and full of mistakes. Complete and corrected form is presented below:

The point (-2, 4) lies on the curve in the xy-plane given by the equation f(x)\cdot g(y) = 17 - x\cdot y, where f is a differentiable function of x and g is a differentiable function of y. Selected values of f, f', g and g' are given below: f(-2) = 3, f'(-2) = 4, g(4) = 5, g'(4) = 2.

What is the value of \frac{dy}{dx} at the point (-2, 4)?