g Find k such that the function is a probability density function over the given interval. Then write the probability density function. f(x)= k x​, ​[2​,14​] What is the value of​ k? k=StartFraction 1 Over ln7 EndFraction 1 ln7 ​(Type an exact​ answer.) What is the probability density​ function? f(x)=nothing ​(Type an exact​ answer.)

3× __ -2=15 7 2× __+1=7 5 7× =22 15 5× __+10=2 8 × __+4=20 6 × =10 3 × __+2=8 6 × __+8=8 9 × __+7=20 6

() at a farm, animals are fed bales of hay and buckets of gain.each bale of hay is in the shape of a rectangular prism.the base side lengths 2 feet and 3 feet,and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

Identify the graph of y = ln x + 1.