Find the gradient of the tangent to the curve y = 5x³ + 3x² - x + 4
1 answer:
The gradient of the tangent to the curve y = 5x³ + 3x² - x + 4 is 15x²+6x-1.
<h3>What is the gradient?</h3>A differential operator is used for a function having a vector value in three dimensions to produce a vector whose three components are the partial derivatives of the function with respect to its three variables.
The given equation for the curve is;
y = 5x³ + 3x² - x + 4
The gradient of the tangent to the curve is;
Hence,the gradient of the tangent to the curve y = 5x³ + 3x² - x + 4 is 15x²+6x-1.
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Answer:
The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.
Step-by-step explanation:
This would be an two-sample hypothesis test for the difference between two means.
As we are looking for differences, we are not testing if one population mean is bigger than the other. This will be a two-tailed test and the alternative hypothesis will have a unequal sign.
The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.
This can be written as:
meaning that the population means are significantly different.
Answer:
The equation of line can be written as,
y = mx + c
where, m is slope
and c is intercept of line.
Now, Suppose we have equation: ax + by + c = 0
So, transforming the given equation in above standard equation.
⇒ by = -ax - c
⇒
Now comparing this equation with standard equation. We get,
and
Hence, Intercept = for line ax + by + c = 0.