(Solved): The marginal cost of producing the \( x \) th box of DVDs is \( 5+\frac{x^{2}}{90,000} \) and the ...

The marginal cost of producing the \( x \) th box of DVDs is \( 5+\frac{x^{2}}{90,000} \) and the fixed cost is \( \$ 100,000 \). Find the cost function \( C(x) \). \( C(x)= \) [0/2 Points] WANEFMAC7 13.1.052. Since YouTube first became available to the public in mid-2005, the rate at which video has been uploaded to the site can be approximated by \[ v(t)=1.1 t^{2}-2.6 t+2.3 \text { million hours of video per year }(0 \leq t \leq 9) \text {, } \] where \( t \) is time in years since the start of June 2005.t (a) Find an expression for the total number of hours \( V(t) \) of video at time \( t \) (starting from zero hours of video at \( t=0 \) ). (Round your coefficients to four decimal places.) \( V(t)= \) (b) Use the answer to part (a) to estimate the total number of hours of video uploaded by the start of 2009. (Round your answer to the nearest million hours of video.) x million hours of video