Answer in ____ ft/s

Answer in ____ ft/s

log base(ab) [2log base(ab)(√a)-1/2log base(ab)√ab(b)]=(log base(ab) (a))^2-(log base(ab)(b))^2 I do not know

y=(x3+1)(x4+7)(x5+8)4

y=x(x5+4)/√x+4

Find the slope and an equation of the tangent line to the graph of the function f at the specified point. f(x) = √x + (1/√x); (25,26/5) slope= equation y =

Let f(x) = x3 − 4x2. Find the point(s) on the graph of f where the tangent line is horizontal. (x, y) =____________ (smaller x-value) (x, y) =____________ (larger x-value)...

y=f(x)=x2 -4x Find the instantaneous rate of change of y at x=6

1st: x^2+y^2=25, z=2; 2nd: x^2+y^2=16, z=3

Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x)=9/2x at (1,9/2) m=_______ y=_...

The total cost c(x) incurred by Aloha company in manufacturing surf boards a day given by c(x)=-10x2+300x+130 (0≤x≤15) a. calculate c'(x) b. what is the rate of change in...

complex numbers in cartesion form

I have a problem on limits. The graph shows two very different equations approaching the same point, but at that point (x=4) there is a hole. Below the hole there is a point at (4,2). What is the...

1) Find the instantaneous rate of change of the velocity at t = 1.5 s 2)Use the trapezoid rule to find the definite integral of the speed with respect to time from t = 0 to t = 3.25 seconds...

Raoul accelerates up the hill. After moving 10 meters, the engine expires. Raoul coasts up the hill, comes to a stop, and then begins to roll back down the hill. Joe calculates that Raoul’s distance...

Joe decides to construct a new toy. He takes a solid fuel rocket engine from his model rocket kit and a flat bed rail car from his train set . He straps the engine to the back of the rail car. He...

The plane of equation x + y = 1 intersects the cone of equation z = 4 − √((x^2)+(y^2)) in a parabola. Verify that the point of coordinates (3/7, 4/7, 23/7) is...

For the differentiable function on the interval [1, 3] f(1)=-2 f(2)=4 f(3)=-2 Which of the following must be true? I. There must be at least one point on the interval...

The derivative of function f is given by f'(x) = ((cos^2x)/x)-0.2 Note that this is the equation for the derivative of f, not for the function f itself. Find the x-coordinates of relative extrema...

The line y=-4x+20 forms a triangle with the x and y axes. If a point on the line and a point at the origin are opposite corners of a rectangle, what is the largest possible area of such a...

For a differentiable function, which of the following must be true at a local maximum? I f'(x)=0 II f'(x) changes sign III f"(x) = 0 IV f"(x) changes sign

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