This question is designed to be answered without a calculator. An approximation of the area under the curve f(x) = 4 - x2 over the interval [0, 2] using a left Riemann sum with 4 subdivisions is O 21 CO O 3- 8 O 4 - 4This question is designed to be answered with a calculator. 4 Let f(x) = 2xe'X. The value of the trapezoidal approximation, to the nearest thousandth, of I; fix} dx using 4 subintervals of equal length is 0.825. 0.861. 1.649. 1.817. This question is designed to be answered without a calculator. The interval [1, 4] is divided into n subintervals of length Ax. Let Lx be the left endpoint of the kth subinterval. Which definite integral is equivalent to lim Ek= (1+ (LX)2)Ax? n - 00 o (1+ x2) dx O J (1+x2) dx of(1+ x )2 dx o (1+x)2dxThis question is designed to be answered without a calculator. Use this table of values for the rate of water flow from a garden hose. Time ------ Rate of Water Flow . 4 12 (gallons per minute) A right Riemann sum with 5 subdivisions approximates the total amount of water that flows from the garden hose in the first 5 minutes as 33 gallons. 3? gallons. 41 gallons. 45 gallons. This question is designed to be answered with a calculator. Which inequality compares the left (L), right (R), and trapezoidal (7) sum approximations of the area under the curv f(x) = 2 oos(2x) over the interval [0,%] using 3 equal subdivisions? L