Solve the problem.The surface of a snow-covered mountainside can be modeled by the function f(x,y) = e-((x - 0.5)2 + (y - 0.7)2),where x and y are coordinates in the horizontal plane (xy-plane). Find a unit vector that indicates the direction an avalanche will move initially if it begins at the point 
. Assume that the avalanche moves along the path of steepest descent.
A. u = 
B. u = 
C. u = 
D. u = 
Answer: D
Mathematics
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Find the prime factorization of the composite number.177
A. 32 B. 3 × 57 C. 32 × 59 D. 3 × 59
Mathematics
Provide an appropriate response.If the sides of a triangle measure 12 m, 12 m, and 1,200 cm, what kind of triangle is it?
A. equilateral triangle B. right triangle C. scalene triangle D. isosceles triangle
Mathematics
Solve the problem.A rectangular carpet has a perimeter of 248 inches. The length of the carpet is 72 inches more than the width. What are the dimensions of the carpet?
A. length: 98 in.; width: 26 in. B. length: 124 in.; width: 98 in. C. length: 124 in.; width: 111 in. D. length: 101 in.; width: 75 in.
Mathematics
Solve the problem.Which of the following functions could have this graph? 
A. y = 
B. y = 
C. y = 
D. y = 
Mathematics