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Algebra II

Reparametrize the curve with respect to arc length measured from the point where $t = 0$ in the direction of increasing t.

$r (t) = e^{2 t} \cos 2 t i + 2 j + e^{2 t} \sin 2 t k$

ruigE 2021-09-25

Find the exact length of the curve.

$x = \frac{1}{3}, {(y)}^{\frac{1}{2}} (y - 3), 1 \leq y \leq 9$

generals336 2021-09-25

If f(2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x = 2.

Harlen Pritchard 2021-09-25

$0.6 \times 0.4 \times 0.2$

naivlingr 2021-09-25

Solve the following equation.
$\sqrt{x - 8} - \frac{4}{\sqrt{x - 8}} = 3$

Tazmin Horton 2021-09-24

To determine: C and a so that $f (x) = C a^{x}$ satisfies given conditions.
Given: $f (0) = 3; f (3) = 24$

vazelinahS 2021-09-24

Determine
$lim_{x \to \infty} f (x)$
and
$lim_{x \to - \infty} f (x)$
for the following rational functions. Then give the horizontal asymptote of f (if any).
$f (x) = \frac{- x^{3} + 1}{2 x + 8}$

Tahmid Knox 2021-09-24

For the following exercises, find the domain of the rational functions. $f (x) = \frac{x^{2} + 4}{x^{2} - 2 x - 8}$

Kye 2021-09-24

The value of expression ${(5^{101})}^{\frac{1}{101}}$ .

Brennan Flores 2021-09-24

The value of expression $5 {(\frac{3}{4})}^{0}$ .
Key Concepts Used:
Any number raised to an exponent 0 is equal to 1. That is. $a^{0} = 1$ .

Jaya Legge 2021-09-24

To solve: The problemby modeling and solving a system of linear equation.
The given problem is a mixer problem where vanilla ice cream and peach ice cream are mixed together to make swirl ice cream where number of containers of each type is to be calculated.

Rivka Thorpe 2021-09-24

The area of rectangle A(20,35).

Aneeka Hunt 2021-09-24

To find: A function that models area in terms of sides.

jernplate8 2021-09-24

A system of linear equation that represents the situation "A farmer plants corn and wheat on a 180 acre farm. The farmer wants to plant three times as many acres of corn as wheat", and to find how many acres of each crop should the farmer plant.

beljuA 2021-09-24

In these problem you are asked to find a function that models a real-life situations. Use the principle of modeling described in this Focus to help you.
Area Find a function that models the area A of a circle in terms of its circumference C.

Lewis Harvey 2021-09-24

The area (in square feet) of the school sign can be represented by $15 x^{2} - x - 2$ .
a. Write an expression that represents the length of the sign.
b. Describe two ways to find the area of the sign when $x = 3$ .

Wierzycaz 2021-09-24

A toy rocket (not internally powered) is launched straight up from the top of a building 50 ft tall at an initial velocity of 200 ft per sec.
a) Give the function that describes the height of the rocket in terms of time t.
b) Determine the time at which the rocket reaches its maximum height and the maximum height in feet.
c) For what time interval will be rocket be more than 300 ft above ground level?
d) After how many seconds will it hit the ground?

Clifland 2021-09-24

A uniform sphere made of modeling clay has radius R and moment of inertia $I_{1}$ for rotation about a diameter. It is flattened to a disk with the same radius R. In terms of $I_{1}$ , what is the moment of inertia of the disk for rotation about an axis that is at the center of the disk and perpendicular to its flat surface?

banganX 2021-09-24

The football field is rectangular.
a. Write a polynomial that represents the area of the football field.
b. Find the area of the football field when the width is 160 feet
Given information:
a) A rectangular field whose length and breadth are (10x+10)ft and (4x+20) ft.
b) If width $= 160$ feet.

Armorikam 2021-09-24

The function $y = - 16 x^{2} + 36$ y (in feet) is the height of an apple x seconds after falling from a tree. Determine the x- and y- intercepts

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