Answer:
The statement is as follows:
Explanation:
We had better avoid such correlated subqueries by instead using aggregation with GROUP BY:
SELECT
c.email_address,
COUNT(DISTINCT o.order_id) AS num_orders,
COALESCE(SUM(oi.quantity * (oi.item_price - oi.discount_amount)), 0) AS total_amount
FROM customers c
LEFT JOIN orders o
ON c.customer_id = o.customer_id
INNER JOIN order_items oi
ON o.order_id = oi.order_id
GROUP BY
c.customer_id,
c.email_address;
Answer:
aluminum bar carrying a higher load than steel bar
Explanation:
Given data;
steel abr
diameter = 5 mm
stress = 500 MPa
aluminium bar
diameter = 10 mm
stress = 150 MPa
we know
stress = laod/area
for steel bar

solving for P
P = 9817.47 N
for Aluminium bar

solving for P
P = 11790 N
aluminum bar carrying a higher load than steel bar
Answer:
slenderness ratio = 147.8
buckling load = 13.62 kips
Explanation:
Given data:
outside diameter is 3.50 inc
wall thickness 0.30 inc
length of column is 14 ft
E = 10,000 ksi
moment of inertia 

Area 


r = 1.136 in
slenderness ratio 

buckling load 


Answer:

Explanation:
<u>The Differential of Multivariable Functions</u>
Given a multivariable function V(r,h), the total differential of V is computed by

The volume of a cylinder of radius r and height h is

Let's compute the partial derivatives


The total differential is

The differential dr is approximated to
and the differential dh is approximated to
. We can see the increment of radius is the thick of the metal in the sides, and the increment of the height is the thick of the metal in the top and bottom. Thus dr=0.05 cm, dr=0.2 cm


Answer:
a) 927 MPa
b)The specimen will experience fracture
Explanation:
a) Calculate critical stress for brittle fracture
σ = fracture toughness / (y √ π * surface crack)
= 45 / ( 1
)
= 927 MPa
b) since critical stress( 927 MPa) < 1000 MPa
hence : The fracture will occur