Simplify 22x-13y+19-17y-43x+12
1 answer:
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Answer:
Point slope form
y - 9 = 4(x-1)
Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is 4 x - y +5=0
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the points are (1,9) and (-1,1)
slope of the line
m =
m = 4
<u><em>step(ii):-</em></u>
Equation of the straight line passing through the point (1,9) and slope 'm' = 4
y-y₁ = m( x-x₁)
y - 9 = 4(x-1)
y -9 = 4x-4
4 x - y -4+9 =0
4 x - y +5=0
Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is 4 x - y +5=0
Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
or
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)