Graph the following functions by hand, not by plotting the points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations

A horizontal force of 210N is exerted on a 2.0 kg discus as it rotates uniformaly in a horizontal circle ( at arm's length ) of radius .90 m. Calculate the speed of the discus

The specific heat of lead is 0.030 cal/g.C. 300 grams of leadshot at 100C is mixed with 100 grams of water at 70C in an insulated container. The final temperature of the mixture is:
A) 100C
b) 85.5C
c)79.5C
d) 74.5C
e)72.5C

A 730-N man stands in the middle of a frozen pond of radius 5.0 m. He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 1.2 kg physics textbook horizontally toward the north shore , at a speed of 5.0 m/s. How long does ittake him to reach the south shore?

A 15.0 kg block is dragged over a rough, horizontal surface by a70.0 N force acting at 20.0 degree angle above the horizontal. The block is displaced 5.0 m, and the coefficient of kinetic friction is 0.3. Find the work done on the block by ; a) the 70.0 N force,b) the normal force, and c) the gravitational force. d) what is the increase in the internal energy of the block-surface system due to friction? e) find the total change in the kinetic energy of the block.

If ${\displaystyle \sum a_n}$ and ${\displaystyle \sum b_n}$ are both divergent, is ${\displaystyle \sum (a_n+b_n)}$ necessarily divergent?

A solution was prepared by dissolving 1210 mg of ${\displaystyle K_{3}Fe{\left(CN\right)}_6}$ (329.2 g/mol) in sufficient waterto give 775 mL. Calculate:
a) the molar analytical concentration of ${\displaystyle K_{3}Fe{\left(CN\right)}_6}$.
b) the molar concentration of ${\displaystyle K^{+}}$.
c) the molar concentration of ${\displaystyle Fe{\left(CN\right)}_6^{3-}}$.
d) the weight/volume percentage of ${\displaystyle K_{3}Fe{\left(CN\right)}_6}$.
e) the number of millimoles of ${\displaystyle K^{+}}$ in 50.0 mL of thissolution
f) ppm ${\displaystyle Fe{\left(CN\right)}_6^{3-}}$.
g) pK for the solution
h) ${\displaystyle pFe{\left(CN\right)}_6}$ for the solution.

An astronaut on planet zircon tosses a rock horizontally witha speed of 6.95 m/s. The rock falls thru a vertical distanceof 1.40 m and lands a horizontal distance of 8.75m from theastronaut. What is the acceleration of gravity on zircon?