Find an equation for the tangent to the curve at the given point.y = x2 + 4, (4, 20)

A. y = 8x - 24
B. y = 4x - 12
C. y = 8x - 12
D. y = 8x - 28


Answer: C

Mathematics

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Describe the given set of points with a single equation or with a pair of equations.The circle of radius 3 centered at the point (8, -3, 9) and lying in a plane parallel to the xy-plane

A. (x - 8)2 + (y - 3)2 = 9 and x + y = 5
B.  2 2+ 1 = 9
C.  22= 9 and z = 9
D. (x - 8)2 + (y - 3)2 = 9 and z = 9

Mathematics

Solve the problem.Use Newton's method to estimate the solutions of the equation . Start with  for the right-hand solution and with  for the solution on the left. Then, in each case find x2.

What will be an ideal response?

Mathematics

Factor the trinomial completely.3x5 + 6x4 - 45x3

A. 3x3(x2 + 2x - 15) B. x3(x + 5)(3x - 9) C. 3x3(x + 5)(x - 3) D. x3(3x + 15)(x - 3)

Mathematics

Solve the problem.An explosion causes debris to rise vertically with an initial velocity of 32 feet per second. The function  describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion. What is the instantaneous speed of the debris 1.6 second(s) after the explosion?

A. -51.2 ft/sec B. 51.2 ft/sec C. -19.2 ft/sec D. 19.2 ft/sec

Mathematics