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Algebra II

The velocity in a certain two-dimensional flow field is given by the equation
$V = 2 x t \hat{i} - 2 y t \hat{j}$
where the velocity is in ft/s when x, y, and t are in feet and seconds, respectively. Determine expressions for the local and convective components of acceleration in the x and y directions. What is the magnitude and direction of the velocity and the acceleration at the point x = y = 2 ft at the time t = 0?

iohanetc 2021-09-17

a) Find a formula for $\frac{1}{1} \cdot 2 + \frac{1}{2} \cdot 3 + \cdot \cdot \cdot + \frac{1}{n} (n + 1)$ by examining the values of this expression for small values of n. b) Prove the formula you conjectured in part (a).

CMIIh 2021-09-17

A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume that can be sent. (Assume the cross section is square.)

tabita57i 2021-09-17

Find an equation of the plane tangent to the following surfaces at the given point. $z = \tan^{- 1} x y; (1, 1, \frac{π}{4})$

Cem Hayes 2021-09-16

Transform the given differential equation or system into an equivalent system of first-order differential equations.
$x^{″} + 3 x^{'} + 7 x = t^{2}$

bobbie71G 2021-09-16

Determine if the given problem is an equation or an expression. If it is an equation, then solve. If it is an expression, then simplify. 5(x - 6) = 3(x + 2)

Jason Farmer 2021-09-16

Solve the differential equation.
$x \frac{d y}{d x} - 4 y = 2 x^{4} e^{x}$

preprekomW 2021-09-16

Solve the equation.
$\frac{7}{y^{2} - 4} - \frac{4}{y + 2} = \frac{5}{y - 2}$

Dolly Robinson 2021-09-16

Determine whether the given problem is an equation or an expression. If it is an equation, then solve. If it is an expression, then simplify. h/2- h/3 + h/6 = 1

Isa Trevino 2021-09-16

Solve the equation. (Find all solutions of the equation in the interval [0, $2 π$ ).
$2 \sin (2 x) \sin (x) = 2 \cos (x)$

hexacordoK 2021-09-16

Express the area of a rectangle bounded by the x- and y-axes and the graph of $y = - \frac{1}{2} x + 4$ .

Dottie Parra 2021-09-16

The square root of a number is 6. Write an equation, using x, that represents this situation. What value of x makes this equation true?

zi2lalZ 2021-09-16

The given equation involves a power of the variable. Find all real solutions of the equation.
$5 x^{2} - 125 = 0$

jernplate8 2021-09-16

$lim_{x \to - \infty} \frac{\sqrt{3} {x} - \sqrt{5} {x}}{\sqrt{3} {x} + \sqrt{5} {x}}$

Ayaana Buck 2021-09-16

A number of common substances are Tar Sand “Silly Putty”, Jello Modeling clay, Tooth paste, Wax, and Shaving cream. Some of these materials exhibit characteristics of both solid and fluid behavior under different conditions. Explain and give examples.

ringearV 2021-09-16

In the MiniLab called "Modeling Convection Currents" you observed convection currents produced in water as it was heated. Repeat the experiment, placing sequins, pieces of wood, or pieces of rubber bands into the water. How do their movements support your observations and inferences from the MiniLab?

postillan4 2021-09-16

Which of the following are true about regression with one predictor variable (often called simple regression)? Check all that apply.
a) The regression equation is the line that best firs a set of data as determined by having the least squared error.
b) The slope describes the amount of change in Y for a one-unit increase in X.
c) After conducting a hypothesis test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y.

Wribreeminsl 2021-09-16

The expression $\frac{4}{3} π r^{3}$ represents the volume of a sphere with radius r. Why is this expression a monomial? What is its degree?

illusiia 2021-09-16

The area of the patio is 216 square feet.
a. Write and equation that represents the area of the patio.
b. Find the dimensions of the patio by completing the square.

ringearV 2021-09-16

1) The equation for each gym modeling the total cost y for a membership lasting x months.
Given Gym A charges $10 per month with an additional initiation fee of $100. Gym B charges $0 per month
2) To determine: The time that is more economical for a person to join gym A over gym B.
Given: Gym A lowers its initiation fee to $25. Gym A charges $10 per month with an additional initiation fee of $100. Gym B charges $0 per month.
3) To determine: The time that is more economical for a person to join gym A over gym B.
Given: Gym A charges $10 per month and lowers the initiation fee to $25. Gym B charges $0 per month.

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