명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 1.1절 · 1i번

Sundstrom, Mathematical Reasoning · 1.1절 · 1i번영어 원문

Which of the following sentences are statements?

$1 + \tan ^2 \theta = \sec ^2 \theta$ .

정답·풀이 보기 (영어 원문)

This is not a statement.

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 1.1절 · 6a번영어 원문

Following is a statement of a theorem which can be proven using calculus or precalculus mathematics. For this theorem, $a$ , $b$ , and $c$ are real numbers.

Theorem If $f$ is a quadratic function of the form $f\left( x \right) = ax^2 + bx + c$ and $a \lt 0$ , then the function $f$ has a maximum value when $x = \dfrac{{ - b}}{{2a}}$ .

Using only this theorem, what can be concluded about the functions given by the following formulas?

$g\left( x \right) = - 8x^2 + 5x - 2$

다 풀었으면 정답 확인

This function has a maximum value when $x = \dfrac{5}{16}$ .

이 문제로 이어서 풀기

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