Algebra and Calculus Review
10 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the derivative of the function $f(x) = x^2 \sin(x)$?

  • $2x \sin(x) - x^2 \cos(x)$
  • $2x \sin(x) + x^2 \cos(x)$ (correct)
  • $x \sin(x) + x^2 \cos(x)$
  • $x \sin(x) - x^2 \cos(x)$
  • If $P(2,3)$ and $Q(4,5)$ are two points on the coordinate plane, what is the equation of the line perpendicular to the line $PQ$ and passing through the midpoint of $PQ$?

  • $3x - 2y = 1$
  • $2x + 3y = 13$ (correct)
  • $x - 2y = -3$
  • $3x + 2y = 17$
  • What is the value of $^3C_2$?

  • 2
  • 3
  • 6 (correct)
  • 9
  • What is the equation of the circle with center $(2,3)$ and radius $4$?

    <p>$(x - 2)^2 + (y - 3)^2 = 16$</p> Signup and view all the answers

    What is the value of $\log_a{a^5}$?

    <p>5</p> Signup and view all the answers

    What is the minimum value of the function $f(x) = x^2 + 2x + 2$?

    <p>3/2</p> Signup and view all the answers

    If $A$ and $B$ are two points on the coordinate plane with coordinates $(3,4)$ and $(5,6)$ respectively, what is the distance between $A$ and $B$?

    <p>2√2</p> Signup and view all the answers

    What is the equation of the tangent line to the curve $y = x^3 - 2x + 1$ at the point $(1,0)$?

    <p>y = 3x - 2</p> Signup and view all the answers

    What is the value of the expression $^6C_3 \div ^6C_2$?

    <p>3</p> Signup and view all the answers

    What is the sum of the first 10 terms of the arithmetic series $2 + 5 + 8 + 11 +...$?

    <p>140</p> Signup and view all the answers

    Use Quizgecko on...
    Browser
    Browser