Find the exact value of the expression when it is defined.

sin [sin-115/13 - cos-1(-3/5)]

11/29/21

Can you help me find a solution

you are designing a box without a too by cutting squares of equal size from the corners of a piece of cardbox measuring 12 centimeters by 8. after moving squares you fold up the sides.

Find the point on the line y = − 3 x + 2 closest to the point ( 6 , 6 )

Find the point on the line y = − 3 x + 2 closest to the point ( 6 , 6 ) The function giving the distance between the point and the line iss=  (Enter a function... more

How do you tell if series tan(n) and series e^(-2/n) converge/diverge using the divergence test?

Hello! I can't figure out whether series An = tan(n) or series An = e-2/n converge or diverge using the divergence test. I know that tanx doesn't approach anything, but I'm also confused on that.... more

11/20/21

How many points of inflection does the graph of y = sin(x^2) have on interval [-pi, pi]?

I know the answer is 8, but how do you find the zeros of the second derivative?

11/19/21

Calculus Question

Let y=tan⁡(5x+4). Find the differential 𝑑𝑦 when x=3 and 𝑑𝑥=0.1Find the differential 𝑑𝑦 when x=3 and 𝑑𝑥=0.2

11/17/21

The graph of derivative f ′(x) of some function f (x) is given below.

(a) Identify the subinterval(s) of (-4,3) where f (x) has a constant slope. Explain why?(b) Identify the subinterval(s) of (-4,3) where f (x) is decreasing. Explain why?(c) Identify the... more

Find the antiderivative

Consider the function f(t) = 4sec2(t) − 9t3Let F(t) be the antiderivative of f(t) with F(0) = 0 Then F(t) =

MyOpenMath (Optimization)

Linda and Casey wants to raise cows in a rectangular field with five internal partitions as shown. If the area of the field must be 12400 square feet, what dimensions will require the least... more

11/13/21

Calculus Rates of Change

A large block of ice in the shape of a cube is melting. All sides, x, of the cube melt at the same rate. At what rate is the volume of the block decreasing when x=7 if its surface area is... more

11/13/21

Calculus - Rates of Change

Sand falls from a drain at the rate of 260 m3/min onto the top of a conical pile. The height of the pile is always twice the radius. How fast is the radius when the pile is 20 m high?

11/07/21

Write an expression equivalent to...

Write an expression equivalent to (3x3) / (3x-6) with a denominator of (2-x)(x2+9).

11/07/21

Help me with Calculus

A closed rectangular container with a square base is to have a volume of 2592 in^3. The material for the top and bottom of the container will cost 3 per in^2, and the material for the sides will... more

11/04/21

An open box problem

an open box is to be made from a 15 ft by 40 ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and bending up the sides. find the maximum volume that... more

11/04/21

How many words are memorized in the first 8 minutes?   

Suppose that in a memory experiment the rate of memorizing is given by M'(t)=−0.008t2+0.2t, where M'(t) is the memory rate, in words per minute. How many words are memorized in the first 8... more

Let f(x) = |x-8|. Evaluate the following functions

I have to find the right and left hand limits of this function when approaching 8. Lim (x-> 8-) (f(x) - f(8))/x-8 = ?Lim (x-> 8+) (f(x) - f(8)/x-8

11/02/21

Six Trigonometric functions

Let P= (-5,7) be a point on the terminal side of an angle 0. find the exact value of the six trigonometric functions of 0.

11/02/21

INDEPENDENT AND DEPENDENT EVENTS

Consider the experiment of randomly selecting a one card from a deck of 52 playing cards a.) Determine whether the event of selecting a king is independent of the event selecting a face.b.)... more

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