what is the arcsin(1)?

what is the arcsin(1)?

VOLUME : A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is (a) 30 cm...

A curve has equation y=(x2+1)4+2(x2+1)3. Show that dy/dx=4x(x2+1)2 (2x2+5) and hence show that the curve has one stationary (critical) point. State the coordinates of the stationary...

Find the coordinates of the stationary (critical) point of the curve with equation y=1/(x2+4)

Given that y=1/2x-1 + 1/(2x-1)^2, find the exact value of dy/dx when x=2

Find the indefinite integral ∫3/(√(49-(x+7)2) dt

Find the indefinite integral ∫dx/(√(19-x2)

Use the differential equation and the given point to find f(x). dy/dx= (-48)/(3x+5)^2 Point: (-1,3)

Calculus

need help

I need help finding the limit of x as it approaches 0 for (cos(x+(pi/3))-(1/2))/x. I feel that the first step is reducing the equation to: ((cosx*cos(pi/3) - sinx*sin(pi/3))/x) -1/2...

a person standing close to the edge on the top of a 160-foot building throws a baseball vertically upward. The quadratic function, s(t)= -16t^2 +64t +160, models the ball's height where s(t)...

derivatives w inverse trig functions

calculus, derivatives with natural logs

1. To be an effective energy source, a nuclear reaction must sustain itself. What characteristic of the proceeding reactions allows them to continue without input from an external source? 2...

i have two piecewise functions f(x) = 1 if x < 1 x if 1< x g(x) = x if not equals 2 3 if...

Given f(x) = x-5 and g(x) = Ix+7l, which of the following is the domain of the quotient function f/g? a. (-7,oo) b.(-oo,-7) U (-7,5) U (5,oo) c. (-7,5) U (5,oo) d. (-oo,-7) U...

A pie is removed from a hot oven and left to cool to room temperature. Sketch a graph of the derivative of the pie’s temperature as a function of time. (You do not need to sketch a graph of the pie’s...

Calculus question trying to find an expression for the gradient of y please

Calculus question trying to find the gradient of y as an expression please

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