Simplify the expression. Write your answer without negative exponents. Whenever an exponent is negative or zero, assume that the base is not zero.(x-7)5
A.
B. -x35
C. -7x35
D. -7x5
Answer: A
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Find the foci of the hyperbola.4y2 - 25x2 = 100
A. (0, ), (0, -
)
B. (, 0), (-
, 0)
C. (0, ), (0, -
)
D. (, 0), (-
, 0)
Answer the question.The graph below shows the level curves of a differentiable function f(x, y) (thin curves) as well as the constraint g(x, y) = -
= 0 (thick circle). Using the concepts of the orthogonal gradient theorem and the method of Lagrange multipliers, estimate the coordinates corresponding to the constrained extrema of f(x,y).
A. (1.5, 0.2), (0.7, 1.3), (-1.5, 0.2), (-0.7, 1.3), (-1.5, -0.2), (-0.7, -1.3), (1.5, -0.2), (0.7, -1.3) B. (1.1, 1.1), (-1.1, 1.1), (-1.1,-1.1), (1.1,-1.1) C. (1.5, 0), (0, 1.5), (-1.5, 0), (0, -1.5) D. (1.3, 0.7), (-1.3, 0.7), (-1.3,-0.7), (1.3,-0.7)
Find the domain and range of the function graphed.
A. domain: (-?, ?); range: (-?, ?)
B. domain: ; range: {2}
C. domain: ; range: (-?, ?)
D. domain: (-?, ?); range: {2}
Simplify the algebraic expression by combining like terms.3(y + 10) - 6
A. 13y - 6 B. 3y + 24 C. 3y + 12 D. 3y + 4