hi could share the final answers only . thank you,

For a certain mammal, researchers have determined that the mesiodistal crown length of deciduous mandibular rst molars is related to the post conception age of the tooth as L(t) = ,015t2 + 1,48t ? 8, where L(t) is the crown length (in millimeters) of the molar 1 weeks after conception Find the maximum length in mesiodistal crown of mandibular rst molars during weeks 30 through 60. The maximum length is mm. (Round to three decimal places as needed.) Use substitution to find the indefinite integral. (6 + 7 In x) 4 dx X Describe the most appropriate substitution case and the values of u and du. Select the correct choice below and fill in the answer boxes within your choice. O A. Substitute u for the quantity under a root or raised to a power. Let u = So that du = ( ) dx. O B. Substitute u for the exponent on e. Let u = so that du = ( ) dx. O C. Substitute u for the quantity in the denominator. Let u = so that du = ( dx.Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in Ay thousands of dollars. Complete parts (a) through (d) below. 40- R(x) = - x2 + 8x, C(x) =2x +5 36- 32- (a) Graph both functions. 28- Identify the vertex of R(x). 24- The vertex of R(X) is at (Type an ordered pair. Simplify your answer.) 20- 16- 12- A X 12 16 20Use substitution to find the indefinite integral. (1-)e 261 - 131 at Describe the most appropriate substitution case and the values of u and du. Select the correct choice below and fill in the answer boxes within your choice. O A. Substitute u for the quantity under a root or raised to a power. Let u = so that du = ( ) at O B. Substitute u for the quantity in the denominator. Let u = So that du = ( ) at. O C. Substitute u for the exponent on e. Let u = so that du = ( ) dt.The marginal revenue (in thousands of dollars} from the sale ofx gadgets is given by the following function. 2 ' E R'(x) = 4x (x2 + 26,000) a. Find the total revenue function ifthe revenue from 125 gadgets is $41030. b. How many gadgets must be sold for a revenue of at least $35,000? lI