Give an appropriate answer.Given the function f(x, y) and the positive number ? as in the formal definition of a limit, find a positive number ? as in the definition that insures 
< ?.f(x, y) = (1 + cos x)(x + y); ? = 0.12
What will be an ideal response?
Let ? = 0.03. Then if 
< ? and 
< ?, 
= 
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Find the indicated term of the binomial expansion.(5 + y)9 ; term containing y4
A. 78,750y4 B. 393,750y4 C. 126y4 D. 3125y4
Provide an appropriate response.A baseball is hit when it is 2.8 feet above the ground. It leaves the bat with an initial speed of 150 ft/sec, making an angle of 18° with the horizontal. Assuming a drag coefficient 
how high does the ball go, and when does it reach maximum height? For projectiles with linear drag: x = x0 + 
(1 - e-kt) cos ?, y = y0 + 
(1 - e-kt) sin ? + 
style="vertical-align: -21.0px;" />(1 - kt - e-kt)where k is the drag coefficient, v0 and ? are the projectile's initial speed and launch angle, and g is the acceleration of gravity (32 ft/sec2). A. Maximum height = 3.09 feet; time to maximum height = 0.04 sec B. Maximum height = -0.19 feet; time to maximum height = -0.22 sec C. Maximum height = 3.11 feet; time to maximum height = 0.01 sec D. Maximum height = 8.31 feet; time to maximum height = 0.73 sec
Determine if the sequence is geometric. If the sequence is geometric, find the common ratio.3, -6, 12, -24, 48, . . .
A. no
B. yes, -2
C. yes, - 
D. yes, 6
Find the volume of the indicated region.The region bounded above by the sphere 
and below by the cone 
A. 72?(2 - 
)
B. 54?(2 - 
)
C. 54?(2 - 
)
D. 72?(2 - 
)