Question 1 Unsaved Consider a cylindrical nickel wire 2.7 mm in diameter and 2.0 * 104 mm long. Calculate its elongation (in mm) when a load of 400 N is applied. Assume that the deformation …

Young's modulus of elasticity is a constant for any given material and in this case there is enough information to calculate it directly, since we are given a force of 101lbs i.e, 10= [gamma …

But, remember, we were trying to calculate the gradient of a tangent. This only touches the curve at one point, so we would actually be calculating the gradient between (1,1) and (1,1) So what …

The modulus or absolute value of a number is the non-negative value of the number. That is, for a negative number -x, it's modulus (|-x|) is its positive value => +x => x.

The angle is =42.7^@ Let's start by calculating vecC=vecA-vecB vecC=〈4,-5,1〉-〈5,8,-3〉=〈-1,-13,4〉 The angle between vecA and vecC is given by the dot product definition. …

The two are related by stiffness (or “Young modulus” if we’re going to be posh) as the stiffness is the stress divided by the strain. This too has units of Pascals.

The angle is 30º Let's start by calculating vecC=vecA-vecB vecC=〈2,4,-9〉-〈3,0,-5〉=〈-1,4,-4〉 The angle between vecA and vecC is given by the dot product definition. …

There is missing information in the question about quantitative physical properties of tendons. We have two ways to make an assessment about elongation of tendons under stress. Modulus of …

The result is =-183.9 The dot product is vecA.vecB=<8,-2.9>.<5,4,-9> = (8*5)+ (-2*4)+ (9*-9) =40-8-81=-49 The modulus of vecA is ||vecA||=||<8,-2,9>||=sqrt (64+4+81 ...

see explanation First do the normal graph of y=6x-7 without the modulus. graph {6x-7 [-10, 10, -5, 5]} Since the modulus is only applied to the x, think of it as a function. It is inside the bracket …