An isoceles right triangle with legs of length s has area A=1/2s^2.  At the instant when s=sqrt 32 centimeters ,the area of the triangle is increasing at a rate of 12square centimeters per second.  At what rate is the length of the hypotenuse of the triangle increasing, in centimeters per second at that instant?

Q: sqrt{\frac{z}{z^{\frac{1}{3}}}}

A:

Q: the altitude of a triangle increases at a rate of 1 cm/min while its area increases at a rate of 3…

A:

Q: A 6 foot tall person walks away from a 14 foot tall lamppost at a constant rate of 2 feet per…

A:

Q: Find all real numbers  x such that  x^6−3x^3−18=0. Give your answers in increasing order.

A:

Q: State the equation of the horizontal asymptote.  A)  y=3^-x B)  y=3^x-2

A: We have to state the equation of the horizontal  asymptote for A). y=3-xB). y=3x-2

Q: How would you explain to someone that sqrt(16) = 16^(1/2) ? Like why is it the same if you were to…

A:

Q: \sqrt{25 k^{4} m^{2}}

A: We have to simplify the expression: 25k4m2 We know the laws of exponents, a=a12abm=ambmamn=am×n

Q: The area of a rectangle of side lengths L cm and L + 4 cm is increasing at a rate of 30 cm^2s−1.…

A:

Q: A television camera at ground level is 2000 ft away form a launching pad of a space rocket that is…

A:

Q: 4. Find the depth of a prism having a Cross sectional area of 60cm³ and 500cm

A: Find the depth of a prism.

Q: \sqrt{8 x^{5} z^{8}}

A: Here is the solution

Q: What is the image of (-6,0)(−6,0) after a dilation by a scale factor of \frac{1}{3}31​ centered at…

A: Given point: (-6,0) Dialation scale factor is 13

Q: \sqrt[6]{\frac{r}{s^{6}}}

A: