1. A block of ice is 3m wide, 4m high, and 5m long. When temperature increases, the block of ice melts 3 uniformly, and its new volume is modeled by V(x) =− x³ + 12x² − 47x + 60, where V(x) is volume in m³ and x is the increase in temperature in °C. Determine the temperature increase needed for the volume to be exactly 6 m³.

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.

Solve each problem. w is directly proportional to z. If w=-6 when z=2, find w when z=-3.

Differentiate. y3 2Vx P. (2x) =D xp

An open-faced box is made from a square piece of paper that measures 16 inches by 16 inches. The box will be made by cutting small x by x sized squares out of each corner. What’s an equation for the volume of the box in terms of x that could be used to determine how to make the box with the biggest volume? A.  V=x(16−x)2 B.  V=x(16−2x)2 C.  V=x(16)(16) D.  V=x3

We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which measures 16 inches wide and 34 inches long.  We will remove a square of size “x” inches from each corner and turn up the edges. Once we remove the squares of size “x” inches from each corner and turn up the edges, we create a box: Label the dimensions of the newly created box using the variable “x”.               What is the equation that represents the Volume of the box as a function of the cutsize of the box? V(x)=Vx=      What is the restricted domain of this problem? (That is, what x values "make sense"?)  ≤x≤≤x≤     What is the restricted range of this problem? (That is, what V values "make sense"?)  ≤V(x)≤≤Vx≤   (round to 1 decimal place)   To maximize the volume of the newly created box, how much should be cut from each corner? x=x=  inches (round to 1 decimal place) What is the maximum volume the box can hold? V=V=  in3  (round to 1 decimal place)   What is the largest…

We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which measures 16 inches wide and 48 inches long.  We will remove a square of size “x” inches from each corner and turn up the edges. Once we remove the squares of size “x” inches from each corner and turn up the edges, we create a box: Label the dimensions of the newly created box using the variable “x”.   What is the equation that represents the Volume of the box as a function of the cutsize of the box? V(x)=      What is the restricted domain of this problem? (That is, what x values "make sense"?)  ≤x≤     What is the restricted range of this problem? (That is, what V values "make sense"?)  ≤V(x)≤   (round to 1 decimal place)   To maximize the volume of the newly created box, how much should be cut from each corner? x=  inches (round to 1 decimal place) What is the maximum volume the box can hold? V=  in3  (round to 1 decimal place)   What is the largest cutsize you can cut out of the paper and…

y=3x what is that

dx x2-9 е.