Approximate the area under the curve graphed below from x=2 to x=7 using a Left Endpoint approximation with 5 subdivisions.Evaluate the integral below by interpretingIf in terms of areas in the figure.The areas of the labeled regions areA1=6,A2=3,A3-1 and Ad-1V=510f(z)dzV=Evaluate the definite integral by interpreting it in terms of areas.37(5z-25)dxTo find the blue shaded area above, we would calculate: abf(z)dx=arcaWhere:f(x)=area Ettimate the area under the graph of f(x)=1x2 over the interval 1,4 uning ten approaimating rectangles and right endpoints.Rs=Nepeat the approximation uning ieft endpoints.tn=Report answers accurate to 4 places. Remember not to round too early in your cilalaningApproximate the area under the curve graphed below from x=3 to x=7 using a Left Endpoint approximation with 4 subdivisions.Speedometer readings for a vehicle (in motion) at 9-decond intervals are given in the table.\table[[t(sec),0,9,18,27,36,45,54],[v(fus),0,8,29,53,67,65,48]]Estirfate the diatance traveled by the vehicle during this 54-iecond period using L6,R8 and M2.L6= feetR6= feetM3= feetAn object moves with velocity as given in the graph below (in ftsec). How far did the object travel from t=0 to t=20?time (men)feetLet A(x) represent the area bounded by the graph, the horizontal aris, and the vertical lines at t=0 and t=z for the graph below. Evaluate A(x) for x=1,2,3, and 4.A(1)=A(2)=A(3)=A(4)=To find the shaded aree abeve, we moild calculate: 01(t)ds=Ne=Where:f(z)=area Approximate the area under the curve graphed below from x=2 to x=5 using a Left Endpoint approximation with 3 subdivisions.Suppore F(t) has the derivative f(t) shown below, and F(0)=2. Find values for F(2) and F(7)F(2)=F(7)=Let A(x)=0xf(t)dt, with f(x) shown in the graph below.At what x values does A(x) have a local max: x=At what x values does A(x) have a local min: x=Restrict your answers to values 0Water is leaking out of an irverted conical tank at a rate of 9700 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 meters and the diameter at the top is 4 meters. If the water level is rising at a rate of 26 centimeters per minute when the height of the water is 4.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.cm2(min)An object is moving with velocity (in ftsec.Find the displacement and total distance travelled from t=0 to t=6