Missing information:
How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point
Answer:
Step-by-step explanation:
Given
Express the given point P as a unit tangent vector:
Next, find the gradient of P and T using:
Where
So: the gradient becomes:
By vector multiplication, we have:
Hence, the rate is:
Answer:
8) -8, -9
9) 4,
Step-by-step explanation:
8) x² + 12x + 27
Solutions of a polynomial means the values of such that the polynomial becomes zero.
.
We use the following formula to determine the solutions of a quadratic equation of the form:
In this equation,
Substituting in the formula, we have:
Taking 2 common outside we get:
Therefore, we get two solutions viz, x = -3, -9.
9) 2x² - 9x + 4 = y
X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.
Solving the equation using the formula above, we get:
The values of x = 4, .
Hence, the answer.