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A curve C is mapped by the equation ( 1+x)(4-x). The curve intersects the x-axis at x = –1 and x = 4. A region R is bounded by C and the x-axis. Use calculus to find the exact area of R.

First draw the curve. Figure out and write the integration problem. Integral⁴_-1 (1+x)(4-x) dx.Expand integral⁴_-1 4 + 3x - x² dx.= ⁴_...

Answered by Vishesh D. • Maths tutor

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Describe and explain the change in the shape of the graph y=x^2 and y=x^2 + 2.

The graph is translated by two in the positive y-axis direction. For example, for the equation y=x², taking the x-axis values of 0,1,2 and 3, y= 0²,1², 2

Answered by Matthew S. • Maths tutor

3803 Views

Describe the conduction system of the heart and explain how the atria and ventricles contract sequentially.

The heart consists of four chambers, two atria and two ventricle. The conduction system of the heart mediates synchronised contraction of the chambers to allow the heart to effectively pump blood. The con...

Answered by Charles S. • Human Biology tutor

9763 Views

Explain the bonding in and the shape of a benzene molecule.

Stage 1 -Bonding 1a) Each C has three (covalent) bonds 1b) Spare electrons (in a p orbital) overlap (to form a pi cloud) 1c) delocalisation
Stage 2 -Shape 2a) Planar 2b) Hexagon/6 carbon ring/120o b...

Answered by Yousif C. • Chemistry tutor

2828 Views