Problem 2: Specific Leaf Area Specific Leaf Area (SLA) is an important measure in botany. It describes an important property of a plant and is related to the efficacy and mode of photosynthesis. Specific Leaf Area is by definition: SLA = Mass of Leaf (when dried) Area of leaf (2) It is straightforward to calculate the numerator, you simply dry and weight the leaf. The denom- inator in more tricky. One way to measure leaf area is to approximate the shape of half of the leaf with a function and then use the integral. The following diagram shows how the leaf area is approximated using two different functions. f(x) = -0.012 + 2.69x - 0.76x2 + 0.052x3 25 - f(x) g(x) = 2.12x e-0.099x2 Units (cm) g(x) A. Use a definite integral to approximate the leaf area using the polynomial function f(x) (units in cm). [Hint: Calculate the area of the whole leaf]B. Use a definite integral to approximate the leaf area using the exponential function g(x) (units in cm) [Hint: Calculate the area of the whole leaf] C. If the dry mass of the leaf is 2.5 grams what is the specific leaf area corresponding to both approximations of area above (give appropriate units). D. Provide a 1 sentence written comparison of your answers