Answer:
length 5cm, width 4cm, door width 2/5cm or. 4cm, length 10 ft, width 7.5 ft
First, recall that Gaussian quadrature is based around integrating a function over the interval [-1,1], so transform the function argument accordingly to change the integral over [1,5] to an equivalent one over [-1,1].



So,

Let

. With

, we're looking for coefficients

and nodes

, with

, such that

You can either try solving for each with the help of a calculator, or look up the values of the weights and nodes (they're extensively tabulated, and I'll include a link to one such reference).
Using the quadrature, we then have

Answer:
Volume of prop = 706.5 in³
Step-by-step explanation:
Given:
Radius = 5 in
Height = 17 in
Find:
Volume of prop
Computation:
Volume of prop = Volume of cone + Volume of hemi-sphere
Volume of prop = 1/3(π)(r²)(h) + 2/3(π)(r)³
Volume of prop = 1/3(3.14)(5²)(17) + 2/3(3.14)(5)³
Volume of prop = 444.83 + 261.67
Volume of prop = 706.5 in³
Answer:
A. 3(5+x)
Step-by-step explanation:
if you multiply both 5 and x by 3(outside the parentheses), 3•5 is 15, and 3•x is 3x
Answer:
Step-by-step explanation:
L and W are the length and width of the garden, respectively.
perimeter = 2L+2W = 38 ft
L+W = 19
the length is 5 ft longer than the width
L = W+5
substitution
(W+5)+W = 19
2W+5 = 19
W = 7