Answer:

Step-by-step explanation:
We have the product,
.
On simplifying the product, we get,

i.e. 
i.e. 
Thus, the standard form of the product
is
.
Answer:
aₙ = aₙ₋₁ + n + 1
Step-by-step explanation:
a₁ = 2
a₂ = 2 + 2 + 1 = 5
a₃ = 5 + 3 + 1 = 9
a₄ = 9 + 4 + 1 = 14
a₅ = 14 + 5 + 1 = 20
Answer:
Step-by-step explanation:
First, we can transform y = cos(x) to y = 3*cos(x) by stretching the graph vertically by a factor of 3. At x = 0, the y value would now be 3 * 1 = 3 instead of 1 (the stretching would cause all new y-values to be 3 times their original values for any given x).
Now transforming y = 3*cos(x) to y = 3*cos(10*x) will stretch the graph horizontally by a factor of 10 (for any given y value, the new x value corresponding to it is 10 times the original x value).
Finally, to transform y = 3*cos(10*x) to y = 3*cos(10(x-pi)), shift the graph to the right by pi.
The volume of the rectangular prism is 1152 cubic feet (
), If the rectangular prism have height of 8 feet and width of 8 feet and a length of 18th feet.
Step-by-step explanation:
The given is,
Let, h - Height of the rectangular prism
w - Width of the rectangular prism
l -Length of the rectangular prism
Step:1
From the given,
h = 8 feet
w = 8 feet
l = 18 feet
Step:2
Formula for volume of Rectangular prism is,

Substitute the values of w, h and l,
V = ( 8 × 8 × 18 )
= 1152
V = 1152 cubic feet
Result:
Thus the volume of the rectangular prism is 1152 cubic feet (
), for the given rectangular prism have height of 8 feet and width of 8 feet and a length of 18th feet.
<h2>refer to pic </h2><h3>Thankyou...</h3>