Answer:
Step-by-step explanation:
If y = 2x + 1, then dy/dt = 2(dx/dt).
If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x. y = 81.
(a) if dx/dt = 3, find dy/dt when x = 4:
Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.
(b) if dy/dt = 2, find dx/dt when x = 40:
Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.
A reasonable estimate could be any number that makes sense. Say the average elementary student is 4' 10" then a reasonable estimate could be 3' to 3' 6" because the desk would be about a 1' 6" shorter than the person.
Answer:
Step-by-step explanation:
We are given that
Base side of square pyramid, a=3 m
Height of square pyramid, h=9m
We have to find the rate of change of the volume of the pyramid at that instant.
Volume of square pyramid, V=
Differentiate w.r.t t
Substitute the values
Hence, the rate of change of the volume of the pyramid at that instant=
Answer:
See explanation below
Step-by-step explanation:
The zero matrix is the matrix which has m rows and n columns and all its elements are zero, for example:
This matrix has the property that, when applied to a vector, sends it to zero.
On the other hand, the multiplicative identity matrix is an square matrix that has 1's in its diagonal and zero's everywhere else.
This matrix has the property that when multiplied by another one, doesn't change the first matrix (leaves things the same way as they were, it's like multiplying by one)
For example, a 3 x 3 multiplicative identity matrix would be: