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Algebra II

The given equation involves a power of the variable. Find all real solutions of the equation.
$x^{2} + 16 = 0$

Reeves 2021-09-21

Complete the square to write the equation of the sphere in standard form. Find the center and radius.
$x^{2} + y^{2} + z^{2} - 2 x + 6 y + 8 z + 1 = 0$

iohanetc 2021-09-21

Find the curvature K of the curve at the point P.
$r (t) = 3 t i + 2 t^{2} j, P (- 3, 2)$

amanf 2021-09-21

Find the area of region bounded by the graphs of the equation. $y = 5 x^{2} + 2, x = 0, x = 2, y = 0$

fortdefruitI 2021-09-21

Solve the equation.
$\sqrt[4]{2 x^{2} - 1} = x$

abondantQ 2021-09-21

Solve the equation. $\frac{1}{2} {(3 x - 5)}^{2} - 25 = 25$

facas9 2021-09-21

Equation in slope intercept form. line f has an equation of y=-9/10x-7 line g includes the point (-3,-5)and is perpendicular to line f. What is the equation of line g?

Chardonnay Felix 2021-09-21

Find the general solution of the differential equation or state that the differential equation is not separable.
$y^{'} = x^{6} y$

Tabansi 2021-09-21

A particle is moving along the curve given by the parametric equations x=1+t, y=1−t. Determine the xy−equation of the trajectory and speed along it.

Cabiolab 2021-09-21

Write the equation of a line passing through the points (5,-5) and (-1,7). write the equation in slope-intercept form.

ka1leE 2021-09-21

The given equation involves a power of the variable. Find all real solutions of the equation.
$5 x^{2} = 15$

Tabansi 2021-09-21

Write the exponential equation as a logarithmic equation, or vice versa.
$e^{- 2} = 0.1353$

vestirme4 2021-09-21

Solve each system of equations using substitution. State whether the system is inconsistent or consistent with dependent equation.
${\begin{cases} y = 4 x - 1 \\ 8 x - 2 y = 2 \end{cases}$

Tazmin Horton 2021-09-21

Use substitution to convert the integrals to integrals of rational functions. Then use partial fractions to evaluate the integrals.
$\int \frac{1 + ϵ^{x}}{1 - ϵ^{x}} d x$

kuCAu 2021-09-21

Give two reasons for modeling systems in state space.

mattgondek4 2021-09-20

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Decide which, if any, are exponential, and give the exponential models for those that are.
$\begin{array}{cc} x & - 2 & - 1 & 0 & 1 & 2 \\ f (x) & 0.3 & 0.9 & 2.7 & 8.1 & 24.3 \\ g (x) & 3 & 1.5 & 0.75 & 0.375 & 0.1875 \end{array}$

Suman Cole 2021-09-20

The solution to approximate the logarithm to the nearest thousandth using the change base formula $3 \log_{7} (105)$ .

slaggingV 2021-09-20

To Find: Determine the following values
a) $(f + g) (2)$
b) $(f - g) (12)$
c) (fg)(4)
d) (fg)(0)

a2linetagadaW 2021-09-20

You trimmed a large square picture so that you could fit it into a frame. The area of the cut picture is 20 square inches. What is the area of the original picture?

Wotzdorfg 2021-09-20

The area (in square centimeters) of a square coaster can be represented by $d^{2} + 8 d + 16$ .
a. Write and expression that represents the side length of the coaster.
b. Write and expression for the perimeter of the coaster.

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