1. Define the following (a) Stress (b) Strain (c) Modulus of elasticity (d) Compressive stress (e) Tensile stress 2. Define the following properties of materials (a) Plasticity (b) Elasticity (c) Malleability (d) Brittleness (e) Ductility (f) Toughness

Complete the statement " \( z= \) " for each data value. a. A data value 2.4 standard deviations below the mean. b. A data value 2.6 standard deviations below the mean. c. A data value 0.8 standard deviation above the mean. a. \( z=\square \) (Type an integer or a decimal.)

1. Given the function \( y=4 \sin (2 \theta-1)+2 \), find: a. One local maximum. b. One local minimum. c. One \( x \)-intercept on the negative \( x \)-axis. d. One \( x \)-intercept on the positive \( x \)-axis.

The number of real distinct roots of the equation \( \boldsymbol{x}(\boldsymbol{x}-\mathbf{a})=\mathbf{a}^{2} \) in \( \mathbb{R} \) where \( \mathbf{a} \in \mathbb{R}-\{0\} \) equals \( \begin{array}{lll}\text { a) } 1 & \text { b) } 2 \\ \text { c) } 3 & \text { d) zero }\end{array} \)

\( (e^{y}+xe^{y}+\tan (e^{x})dx)+xe^{y}dy=0 \)

It the stay 3 men for 14 days in a hold wst is th 4200 , find the cost for stay of 4 me for 7 dyy -