Determine whether the statements that follow are true or false, and justify your answer: If $A^2 = I_2$, then matrix $A$ must be either $I_2$ or $-I_2$.

If $\Sigma_{n-0}^{\infty} c_n 4^n$ is convergent, does it follow that the following series are convergent?

$$\sum_{n=0}^{\infty} c_n(-2)^n$$

For what contours C will it follow from Theorem 1 that (a)∫_C dz/z=0, (b)∫_C exp(1/z²)/z²+16 dz=0?

Assume that $f$ is continuous on $[a, b]$ and

$$\int_a^b f(x) d x=0.$$

Answer the question by giving supporting reasons.
Does it necessarily follow that $\int_a^b[f(x)]^2\ d x=0$?

Answer the follow question.
Quel $\^a$ge a la m$\`e$re de Léa? et le p$\`e$re de Léa?___________

a. What is a thunderstorm? b. List two dangers associated with thunderstorms. c. What safety precautions should you follow during a thunderstorm?

Follow the steps below. Graph $\triangle R S T$ whose vertices are $R(1,1), S(4,3)$, and $T(5,1)$.

Determine whether the statements that follow are true or false, and justify your answer: If matrices $A$ and $B$ are both invertible, then matrix $A + B$ must be invertible as well.

The revenue from a manufacturing process (in millions of dollars per year) is projected to follow the model R=100 for 10 years. Over the same period of time, the cost (in millions of dollars per year) is projected to follow the model $C=60+0.2 t^2$, where $t$ is the time (in years). Approximate the profit over the 10-year period.

Assume that $f$ is continuous on $[a, b]$ and

$$\int_a^b f(x) d x=0.$$

Answer the question by giving supporting reasons.
Does it necessarily follow that $\int_a^b|f(x)|\ dx=0$?

Write what the following people ust finished doing and are now going to do, based on the pictures. Follow the model. Ana María

Explain the steps you would follow to write the polynomial

$$4 x ^ { 3 } - 3 + 5 x ^ { 2 } - 2 x ^ { 4 } - x$$

in standard form.

Answer the following questions using complere sentences.

Which type of circuit has more than one path for electrons to follow?

If the $p$-value in the ANOVA table for a one-way analysis is less than $1\%$, then:

A. Some of the typical follow-up confidence intervals (with confidence level $95\%$) for the pairwise comparisons will not contain 0.

B. It must be the case that none of the typical follow-up confidence intervals (with confidence level $95\%$) for the pairwise comparisons will contain 0.

C. Neither of the above.

D. Both of the above.