Calculate the instantaneous velocity for the given value of t of an object moving with rectilinear motion according to the given function relating s (in ft) and t (in s)s = t3 + t2 - 6t - 7; t = -3
A. -14 ft/s
B. 14 ft/s
C. 15 ft/s
D. 21 ft/s
Answer: C
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Work the application. Write a legend and an equation. Solve the equation and answer in a complete sentence.A sheet of aluminum is manufactured to have the following shape. The perimeter of the sheet of aluminum is 362 inches. What is the length of the bottom side?
A. Let b = the length of the bottom side. 58 ? b = 362 The length of the bottom side is 348 inches. B. Let b = the length of the bottom side. 55 + 58 + 119 + b = 362 The length of the bottom side is 130 inches. C. Let b = the length of the bottom side. 55 + 58 + 119 + b = 362 The length of the bottom side is 354 inches. D. Let b = the length of the bottom side. 58 + b = 362 The length of the bottom side is 304 inches.
Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5
A. 
= yex2(1 + 2x2); 
= x; 
= 
= y + xex2
B. 
= 2yex2; 
= 2x; 
= 
= 2y + 2xex2
C. 
= 2yex2(1 + 2x2); 
= 2x; 
= 
= 2y + 2xex2
D. 
= 2yex2; 
= 2x; 
= 
= 2xex2
Find an algebraic expression for the given expression.tan(tan-1 x + tan-1 1)
A. 
B. 
C. 1
D. 
Find the distance between two points given their coordinates.Find the distance between points R and S on a number line, with coordinates -6 and -11, respectively.
A. d(R, S) = 17 B. d(R, S) = -5 C. d(R, S) = -17 D. d(R, S) = 5