When are dot plots most useful?

Find an equation of the tangent to the curve at the given point.

$$y = x^2-1/x^2+1, (0, -1)$$

We found the velocity of a particle moving in the plane to be $\mathbf{v}=\dot{x} \mathbf{i}+\dot{y} \mathbf{j}=\dot{r} \mathbf{u}_{r}+r \dot{\theta} \mathbf{u}_{\theta}.$

Express $\dot{r}$ and $r \dot{\theta}$ in terms of $\dot{x}$ and $\dot{y}$ by evaluating the dot products $\mathbf{v} \cdot \mathbf{u}_{r}$ and $\mathbf{v} \cdot \mathbf{u}_{\theta}.$

Predict the products and write a net ionic equation for each of the following reactions. If no reaction occurs, write “no reaction.” a. $\mathrm{K}_{2} \mathrm{CO}_{3}(a q)+\mathrm{CaCl}_{2}(a q) \longrightarrow.$ b. $\mathrm{Na}_{2} \mathrm{SO}_{4}(a q)+\mathrm{AgNO}_{3}(a q) \longrightarrow$, c. $\mathrm{NH}_{4} \mathrm{Cl}(a q)+\mathrm{AgNO}_{3}(a q) \longrightarrow$, d. $\mathrm{Pb}(s)+\mathrm{ZnCl}_{2}(a q) \longrightarrow$

Write the correct answer to the question.

Clarify the electrical phases of the heart.

$$\rule{10cm}{0.15mm}$$

$$\rule{10cm}{0.15mm}$$

Check whether the given ordered pairs are solutions of the inequality.
2y $\geq$ 7; (1, -6), (0, 4)

Find the slope of the curve at each indicated point. r = cos 2 θ, θ = 0, ±π/2, π

Find an equation for the tangent line to the given curve at the point where $x = x_0.$ y = (5x - 1)(4 + 3x); $x_0 = 0$

Use the Table of Integrals to evaluate the integral.

$$\int \frac{d x}{e^x\left(1+2 e^x\right)}$$

You are given two paired samples with the following information:

Based on these paired samples, test at the $\alpha=0.05$ level whether the true median paired difference is 0.

Tell whether the number is written correctly in scientific notation. If incorrectly written, state the reason.

$$0.99 \cdot 10^{-1}$$

Write the equation of the tangent line to each curve at the given point.

$x^2+y^2+6 x-3 y+7=0$ at $(-1,2)$

Obtain a slope field and add to it graph of the solution curve passing through the given point:

$y^{\prime}=\frac{x y}{x^2+4}$ with

$$(0,2)$$

Find the centroid of the region bounded by the graphs of

$$y=\frac{1}{2 x+1}, \quad y=0, \quad x=0, \quad \text { and } \quad x=2$$