No because 3 time 4 is 12 and 5 minus 12 does not equal -3
Answer:
Step-by-step explanation:
= 8d+(20)(2.718282)
=8d+54.365637
Answer:
the sum deposited was 6000
Step-by-step explanation:
let the sum deposited be p
now we know,
P = (Simple interest × 100 ) / ( rate × time )
- p = 900×100 / ( 5 × 3 )
- p = 90000 / 15
- p = 6000
so the sum deposited was Rs. 6000
Answer:
a)∇f = 2y + 2x + 18z
b)
=108
Step-by-step explanation:
Given:
f (x,y,z ) = 
The curve C :

where 0 ≤ t ≤ 1
Required:
(a) F = ∇f =? (F is a vector here)
(b)
=?
Solution
First we will find the directional derivative F = ∇f
for that , we will use the formula :
∇f = 
Fx= δf/δx = δ/δx
= 2z i
Fy= δf/δy=δ/δy (2xy)j = 2x j
Fz= δf/δz=δ/δz
= 18z k
∇f = (2z) i .i + (2x) j.j + (18z) k.k
∇f = 2z + 2x + 18z
<em>For part b):</em>
<em>we will use line integral formula:</em>
to calculate dr, we will need the curve C:
r = x(t)+y(t)+z(t)
r=




= 
= 
put values of y, x and z
= 
=
=
(Note : f(1)-f(0))
=2(1)+162(1)+2(0)+162(0)-56
= 2+162 -56
=108
Step-by-step explanation:
7/ 12 is equivalent to - 7/-12