Answer:
Round 34 down to 30 then round 39 up to 40
Step-by-step explanation:
34 ⟶ 30 34 is rounded down to 30
39 ⟶ 40 39 rounded up to 40
34 ⟶ 30
39 ⟶ 40
34 is rounded down to 30
39 rounded up to 40
Calculate mentally 34 × 39 = 1326
The estimated product is 1326.
18 groups of 12. 18 times 12. That equals 216. 216 can round to 200, 215, or 220.
Answer:
The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3
Step-by-step explanation:
- The slope of the horizontal line is zero
- The equation of the horizontal line passes through the point (a, b) is y = b
- All the points on the horizontal line have the same y-coordinates
- The slope of the vertical line is undefined
- The equation of the vertical line passes through the point (a, b) is x = a
- All the points on the vertical line have the same x-coordinates
Let us solve the question
∵ The line has an undefined slope
∴ The line is a vertical line
∵ The equation of the vertical line is x = a, where a is the x-coordinate
of any point on the line
∵ The line passes through the point (3, 4)
∴ a = 3
∴ The equation of the line is x = 3
The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3
Answer:
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
Step-by-step explanation:
for
I= ∫x^n . e^ax dx
then using integration by parts we can define u and dv such that
I= ∫(x^n) . (e^ax dx) = ∫u . dv
where
u= x^n → du = n*x^(n-1) dx
dv= e^ax dx→ v = ∫e^ax dx = (e^ax) /a ( for a≠0 .when a=0 , v=∫1 dx= x)
then we know that
I= ∫u . dv = u*v - ∫v . du + C
( since d(u*v) = u*dv + v*du → u*dv = d(u*v) - v*du → ∫u*dv = ∫(d(u*v) - v*du) =
(u*v) - ∫v*du + C )
therefore
I= ∫u . dv = u*v - ∫v . du + C = (x^n)*(e^ax) /a - ∫ (e^ax) /a * n*x^(n-1) dx +C = = (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
Answer:
Jesse is an idiot
Step-by-step explanation:
762x does not equal 14x
