Consider a structure D with a curved solar panel wall that is moulded to a curve...

  

Transcribed Image Text:

Consider a structure D with a curved solar panel wall that is moulded to a curve C, as shown in Figure 2. D occupies the region below the surface z = f(x₁y) =1 and above the region Ron the xy-plane. Ris bounded by the planes y=0, x-ln2, x-ln4 and the curve C which is parametrised by x= In (t+2) ) i. Write down an expression for the arc length of C between its intersection points with x-ln4 and In2 (blue dots in Structure D). Leave the expression in integral form. ii. Express the equation for the curve C in y=f(x) form. . Express the area of R (and thus the volume of D) in terms of integral(s) using: i. Horizontal strip method ii. Vertical strip method V. Find the area of R y = (t+1), t>-1 iv. Show that the area can be expressed in terms of the following single integral Area of R = S²₁ (t+1)(²+2) dt Vi.Evaluate the integral in part (d) using MATLAB. X Z=1 N --x=ln4 STRUCTURE D Curve C x=ln2 Consider a structure D with a curved solar panel wall that is moulded to a curve C, as shown in Figure 2. D occupies the region below the surface z = f(x₁y) =1 and above the region Ron the xy-plane. Ris bounded by the planes y=0, x-ln2, x-ln4 and the curve C which is parametrised by x= In (t+2) ) i. Write down an expression for the arc length of C between its intersection points with x-ln4 and In2 (blue dots in Structure D). Leave the expression in integral form. ii. Express the equation for the curve C in y=f(x) form. . Express the area of R (and thus the volume of D) in terms of integral(s) using: i. Horizontal strip method ii. Vertical strip method V. Find the area of R y = (t+1), t>-1 iv. Show that the area can be expressed in terms of the following single integral Area of R = S²₁ (t+1)(²+2) dt Vi.Evaluate the integral in part (d) using MATLAB. X Z=1 N --x=ln4 STRUCTURE D Curve C x=ln2

Answer rating: 100% (QA)

Answer i The arc length of C between its intersection points with xln4 and ln2 blue dots in Structur... View the full answer