【webwork】 Chapter 3.1 solutions.－Josephood7

Jun 24 Fri 2022 09:23
【webwork】 Chapter 3.1 solutions.

Find the equation of the tangent line to the curve $y = x \sqrt{x}$ at the point $(4, 8)$ .

$y =$

At which point on the curve $y = 5 + 2 e^{x} - 3 x$ is the tangent line parallel to the line $3 x - y = 5$ ?
Just give the $x$ -coordinate as an exact answer below.

$x =$

Find a function $y = a x^{2} + b x + c$ whose graph has an x-intercept of 1, a y-intercept of -2, and a tangent line with a slope of -1 at the y-intercept.
A space traveler is moving from left to right along the curve

y = x 2 .

When she shuts off the engines, she will continue traveling along the tangent line at the point where she is at that time. At what point
$(x, y) = ($ , $)$
should she shut off the engines in order to reach the point $(4, 15)$ ?
If she was traveling from right to left she would have to shut off the engines at the point $(x, y) = ($