Xy + 6e^y = 6e
taking first derivative :
<span>xy' + y + 6y(e^y)(y') = 0 </span>
<span>xy" + y' + y' + 6y'(e^y)(y') + 6yy(e^y)y' + 6y(e^y)y" = 0 </span>
<span>Put x = 0,
0 + 6e^y = 6e,
y = 1 </span>
<span>0 + 1 + 6(1)(y')e = 0,
Put y' = 0 </span>
<span>0 + 0 + 0 + 0 + 0 +6 ey" = 0,
y" = 0</span>
Answer:
The slope of f(x) is equal to the slope of g(x).
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
step 1
Find the slope of the function f(x)
we have the points
(0,-1) and (3,1)
substitute in the formula
step 2
Find the slope of the function g(x)
take two points of the given table
(0,2) and (3,4)
substitute in the formula
step 3
Compare the slopes
therefore
The slope of f(x) is equal to the slope of g(x).
Answer:
<em>cos a = -1.28 and 0.78</em>
Step-by-step explanation:
The question is not properly written. This is the correct question:
If sina×tan(a) = 1/2, find cosa
According to trigonometry identity;
tan a = sina/cosa
sina×tan(a) = sin a * sina/cosa
sin²a/cos a = 1/2
(1-cos²a)/cosa = 1/2
Cross multiply
2(1-cos²a) = cos a
2 - 2 cos²a = cos a
2cos²a + cos a - 2 = 0
Let P = cos a
2P² + P -2 = 0
P = -1 ±√1-4(2(2)/2(2)
P = -1 ±√1+16/4
P = -1 ±√17/4
P = -1±4.12/4
P = -1-4.12/4 and -1+4.12/4
P = -5.12/4 and 3.12/4
P = -1.28 and 0.78
Since P = cos a
<em>Hence cos a = -1.28 and 0.78</em>
Answer:
41.33
Step-by-step explanation:
25.35+15.98=41.33
