Function Math Problems - Practice with Solutions

Use the linear approximation ${(1 + x)}^{k} \approx 1 + k x$ to find an approximation for the function f(x) for values of x near zero.
$f (x) = {(1 - x)}^{6}$

vousetmoiec 2021-12-01

Given that f is a differentiable function with(2 , 5) = 6, f,(2 , 5) = 1, and J; ,(2, 5) = - 1, use a linear approximation to estimate f(2.2 , 4.9).

Sherry Becker 2021-12-01

Determine the set of points at which the function is continuous. $f (x, y) = (\frac{x^{2} y^{3}}{2 x^{2} + y^{2}})$ if (x,y) not equal to (0,0) and 1 if (x,y)=(0,0)

nuais6lfp 2021-11-29

Use the linear approximation ${(1 + x)}^{k} \approx 1 + k x$ to find an approximation for the function f(x) for values of x near zero.
$f (x) = \sqrt{2 + x^{2}}$

dailinoyf 2021-11-26

Find equations of both lines through the point $(2, - 3)$ thatare tangent to the parabola $y = x^{2} + x$

krypsojx 2021-11-25

Find the Taylor polynomials of degree n approximating the functions for x near 0. (Assume p is a constant) $\tan x, n = 3, 4$

vadulgattp 2021-11-21

The price p (in dollars) and the quantity x sold of a certain product obey the demand equation $p = - \frac{1}{6} x + 100$ . Find a model that expresses the revenue R as a function of x. (Remember, R=xp.)

zachutnat4o 2021-11-16

Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
$f (x) = - {(x - 2)}^{2} - 2$
$f (x) = {(x - 2)}^{2} + 2$
$f (x) = {(x - 2)}^{2} - 2$
of $f (x) = - {(x + 2)}^{2} - 2$

villane0 2021-11-16

What number exceeds its square by the largest amount? [Hint: Find the number x that maximizes $f (x) = x - x^{2}$ .]

Nefissi8u 2021-11-16

Find the average rate of change of the function from $x_{1}$ to $x_{2}, f (x) = - 2 x + 15$

wurmiana6d 2021-11-15

A system made up of one primary unit and a backup can function for an undetermined amount of time X. If the density of X is given (in units of months) by
$f (x) = {\begin{matrix} C x e^{- x / 2} & x > 0 \\ 0 & x \leq 0 \end{matrix}$
what is the probability that the system functions for at least 5 months?

sklicatias 2021-11-15

Find $f \cdot g$ and $g \cdot f$ , where $f (x) = x^{2} + 1$ and $g (x) = x + 2$ , are functions from R to R.

ostric16 2021-11-15

Find the points on the given surface at which the tangent plane is parallel to the indicated plane.
$x^{2} + y^{2} + z^{2} = 7$
$2 x + 4 y + 6 z = 1$

Douglas Kraatz 2021-11-14

Find the absolute extrema of the function on the closed interval. $Y = 3 \frac{x^{2}}{3} - 2 x, [- 1, 1]$ Minimum (x,y) = ? Maximum (x,y) = ?

wurmiana6d 2021-11-13

Describe the level surfaces of the function.
$f (x, y, z) = x + 3 y + 5 z$

Weltideepq 2021-11-11

Find the gradient vector field of $f (x, y) = x e^{3 x y}$ .

Liesehf 2021-11-11

For what value of the constant c is the function f continuous on $(- \infty, \infty)$ ?
$f (x) = {\begin{cases} c x^{2} + 4 x & if x < 5 \\ x^{3} - c x & if x \geq 5 \end{cases}$

kolonelyf4 2021-11-07

The particle travels along the path defined by the parabola $y = 0.5 x^{2}$ . If the component of velocity along the x axis is vx = (5t) ft/s, where t is in seconds, determine the particle’s distance from the origin O and the magnitude of its acceleration when t = 1 s. When t = 0, x = 0, y = 0.

Use factor formula to show that $\sin 5 a + \sin 2 a - \sin a = \sin 2 a (2 \cos 3 a + 1)$

Explain why the function is differentiable at the given point. Then find the linearization L(x,y) of the function at that point.

$f (x, y) = y + \sin (\frac{x}{y}), (0, 3)$

Dealing with function Math questions is never easy as these can be implemented virtually anywhere where Algebra is used. It means that starting with at least one function Math example from what has been provided below will help you. Of course, certain function Math problems will require more analysis and verbal explanations, yet these are also encountered as you look through the questions. Learn about the use of equations first! The functions Math problems are always based on the analytical part because the function Math equation always has only one answer for every unknown variable.

Algebra I

Functions in Algebra Examples