Y = xe^x
dy/dx(e^x x)=>use the product rule, d/dx(u v) = v*(du)/(dx)+u*(dv)/(dx), where u = e^x and v = x:
= e^x (d/dx(x))+x (d/dx(e^x))
y' = e^x x+ e^x
y'(0) = 1 => slope of the tangent
slope of the normal = -1
y - 0 = -1(x - 0)
y = -x => normal at origin
The answer is A, B, and C
Answer:
he owes 9
Step-by-step explanation:
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Answer:
In the first problem, the value of x is 13.85
Step-by-step explanation:
To find this, we can use the Pythagorean Theorem. This allows us to use the length of the legs (a and b) to determine the length of the hypotenuse (c) .
a^2 + b^2 = c^2
5.3^2 + 12.8^2 = c^2
28.09 + 163.84 = c^2
191.93 = c^2
13.85 = c