calculus

posted by .

The side of a square are increasing at 2 inches per second. How fast is the diagonal increasing when the side is 3 inches?

  • calculus -

    5113

  • calculus -

    Diagonal --- d
    side ---x

    d^2 = x^2 + x^2
    d = √2x
    dd/dt = √2 dx/dt
    at any length of x
    dd/dt = √2(2)
    = 2√2 inches per second

  • calculus -

    thank you

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    The diagonal of a square is increasing at a rate of 3 inches per minute. When the area of the square is 18 square inches, how fast(in inches per minute) is the perimeter increasing?
  2. college calculus

    1) each side of a square is increasing at a rate of 6cm/s. At what rate is the area of the square is 16 cm^2?
  3. Calculus

    A spherical balloon is being inflated at a rate of 10 cubic inches per second. How fast is the radius of the balloon increasing when the surface area of the balloon is 2pi square inches?
  4. calculus

    A spherical balloon is being inflated at a rate of 10 cubic inches per second. How fast is the radius of the balloon increasing when the surface area of the balloon is square inches?
  5. Calculus

    The side of a square box is increasing at a rate of 4mm/s and its height is increasing at a rate of 2mm/s. How fast is the volume increasing when the side is 40mm and the height is 100mm. Can someone just tell me what formula to use?
  6. Calculus

    At a certain instant, each edge of a cube is 5 inches long and the volume is increasing at the rate of 2 cubic inches per minute. How fast is the surface area of the cube increasing?
  7. AP CALC. AB

    Please help me with this problem and please walk me through each step i am really confused. Sand is falling from a rectangular box container whose base measures 40 inches by 20 inches at a constant rate of 300 cubic inches per minute. …
  8. AB Calculus

    I figured out that part "A" is -3/8, but i can't figure out part 2, a or b. please explain and help. thanks. Sand is falling from a rectangular box container whose base measures 40 inches by 20 inches at a constant rate of 300 cubic …
  9. Calculus

    The circumference of a circle is increasing at a rate of 2pi/5 inches per minute. When the radius is 5 inches, how fast is the area of the circle increasing in square inches per minute?
  10. Algebra 2

    Orlando is making a design for a logo. He begins with a square measuring 20 inches on each side. The second square has a side length of 16 inches, and the third square has a side length of 12.8 inches. Which square will be the first …

More Similar Questions