Find the value of the constant k that makes the function continuous.h(x) = 
A. k = 42
B. k = 7
C. k = 56
D. k = -7
Answer: A
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Find the average value of the function f over the given region.f(x, y) = 6x + 2y over the triangle with vertices 
, 
, and 
A. 
B. 20
C. 17
D. 14
Solve the problem.Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. A certain radioactive isotope decays at a rate of 0.2% annually. Determine the half-life of this isotope, to the nearest year.
A. 347 years B. 3 years C. 250 years D. 151 years
Find the equation of the curve described by the given information.Ellipse: center 
, focus 
, vertex 
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Determine the x- and y-intercepts of the graph of the quadratic equation.y = -x2 + 2x + 8
A. x-intercepts: -4, 4; y-intercept: 8 B. x-intercepts: -4, 2; y-intercept: 8 C. x-intercepts: -2, 2; y-intercept: 8 D. x-intercepts: -2, 4; y-intercept: 8