Solve the problem.The derivative of a function can be used to find the slope of the line tangent to its graph. If the slope of the line tangent to the graph of f(x) = x2 + x at (5, 30) is 11, write the equation of this tangent line.

A. y = 11x + 25
B. y = 11x - 25
C. y = -11x - 85
D. y = -11x + 85


Answer: B

Mathematics

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Find the linearization L(x) of f(x) at x = a.f(x) = 5x2 + 4x + 4, a = 5

A. L(x) = 46x + 129 B. L(x) = 46x - 121 C. L(x) = 54x - 121 D. L(x) = 54x + 129

Mathematics

Find the equation of the curve described by the given information.Ellipse: center , focus , major axis 26 units

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Provide an appropriate response.Evaluate x2 - (xy - y) for x satisfying  - 2 =  and y satisfying -2y - 16 = 5y + 40.

A. -15, -8 B. 97 C. -120 D. 113

Mathematics

Solve the problem.How many four-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?

A. 9000 B. 256 C. 8999 D. 10,000

Mathematics