Provide an appropriate response.The following equations each describe the motion of a particle. For which path is the particle's velocity vector always orthogonal to its acceleration vector?(1) r(t) = t6i + t6j(2) r(t) = cos (8t)i + sin (9t)j(3) r(t) = ti + t3j(4) r(t) = cos (-4t)i + sin (-4t)j
A. Path (4)
B. Path (1)
C. Path (3)
D. Path (2) and Path (4)
Answer: A
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Add. Simplify the result whenever possible.
+ 
A. 
B. 
C. 
D. 
Solve the problem.While shopping for a party, June bought 3
pounds of hamburger, 
of chicken, and 2
pounds of ham. How much meat did she buy?
A. 2
lb
B. 
lb
C. 
lb
D. 7
lb
Find the limit, if it exists. 
Refer to the following recipe to first estimate the answer and then use multiplication or division to find the exact answer. Simplify. Old Grandma's Fork Cookies 1
cups brown sugar 1
cups white sugar 1
cups shortening 1 pinch salt 3 eggs 2
tsp soda 2
/> tsp cream of tartar 1
tsp vanillaCream sugars and shortening. Beat in remaining ingredients. Add flour to stiffen like regular cookie dough. Roll into balls, then flatten with a fork. Cook until brown.If the recipe is tripled, how much soda will be needed?
A. Estimate: 9 tsp
Exact: 7
tsp
B. Estimate: 9 tbsp
Exact: 7
tbsp
C. Estimate: 6 tsp
Exact: 6
tsp
D. Estimate: 7
tsp
Exact: 9 tsp