### Find an equation of the plane tangent to the following surface at the given point:

7xy +  yz  +  4xz

### The joint density of x and y is f(x y)=c(x^2-y^2)e^{-x}. Find the conditional distribution of Y, given X=x.

This question aims to find the conditional distribution of the given function with a given condition X=x. Read moreLet x represent the

### The graph of a function f is shown. Which graph is an antiderivative of f?

This question explains the concept of antiderivative and how to draw its graph from the function graph. The antiderivative of a function is the

### Several factors are involved in the creation of a confidence interval. In regards to the concept of confidence level, margin of error and sample mean, which of the following statements are true?

Reducing the margin of error while keeping the sample size constant will decrease the confidence. The margin of error will be smaller for a bigger

### A bridge is built in the shape of a parabolic arch. The bridge has a span of 130 feet and a maximum height of 30 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30, and 50 feet from the center.

This question aims to find the height of a parabolic bridge 10 feet, 30 feet, and 50 feet from the center. The bridge is 30 feet high and