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Note: Conversion is based on the latest values and formulas.
A spherical balloon is being inflated. find the rate of the surface ... 21 May 2018 · a) At r=20 \ "cm", the rate of change will be (dS)/(dr)=8pi*20 \ "cm"=160pi \ "cm". b) At r=40 \ "cm", the rate of change will be (dS)/(dr)=8pi*40 \ "cm"=320pi \ "cm". I'm not sure if my units are correct though, as the answer seems to have one-dimensional units, such as "cm" and not "cm"^2, as surface area is given in terms of "cm"^2.
Using Implicit Differentiation to Solve Related Rates Problems A conical cup of radius 5 cm and height 15 cm is leaking water at the rate of 2 cm^3/min. What rate is the level of water decreasing when the water is 3 cm deep? Two sides of a triangle are 6 m and 7 m in length and the angle between them is increasing at a rate of 0.07 rad/s.
If the work required to stretch a spring 1 foot beyond its ... - Socratic 21 Aug 2014 · The answer is (27)/4 ft-lbs. Let's look at the integral for work (for springs): W=int_a^b kx \ dx = k \ int_a^b x \ dx Here's what we know: W=12 a=0 b=1 So, let's substitute these in: 12=k[(x^2)/2]_0^1 12=k(1/2-0) 24=k Now: 9 inches = 3/4 foot = b So, let's substitute again with k: W=int_0^(3/4) 24xdx =(24x^2)/2|_0^(3/4) =12(3/4)^2 =(27)/4 ft-lbs Always set up the …
A person 6 feet tall is walking away from a lamppost that is 15 ft … 29 Jan 2018 · The tip of the shadow is moving at the rate of =4(ft)/sec Let the distance of the person from the bottom of the light post be =x ft And the length of his shadow is =y ft Form the similar triangles (x+y)/(15)=y/6 6(x+y)=15y 6x+6y=15y 9y=6x y=2/3x Differentiating wrt t dy/dt=2/3dx/dt We know that dx/dt=6(ft)/sec Therefore, dy/dt=2/3*6=12/3=4(ft ...
The hypotenuse of a right triangle is 15 centimeters long 22 Mar 2018 · The other leg is "12 cm" long. Use the Pythagorean theorem: c^2=a^2+b^2, where: c is the hypotenuse, and a and b are the other two sides (legs). Let a="9 cm" Rearrange the equation to isolate b^2. Plug in the values for a and c, and solve. b^2=c^2-a^2 b^2=("15 cm")^2-("9 cm")^2 Simplify. b^2="225 cm"^2-81 "cm"^2" b^2="144 cm"^2" Take the square root of both …
How do you convert 15 feet to centimeters? - Socratic 26 Jun 2016 · 15 feet is equal to 457.2 cm. Each feet has 12 inches and each inch is equivalent to 2.54 cm. Hence one feet is equal to 1xx12xx2.54 cm.. and 15 feet is equal to 15xx12xx2.54 cm. = 180xx2,54=457.2 cm.
A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft ... 22 Dec 2017 · 20/3 (ft)/s in this diagram, x is the distance from the man to the pole, and y is the distance from the tip of the man's shadow to the pole. i assume the man and pole are standing straight up, which means the 2 triangles are similar. by similarity, (y-x)/y=6/15 15(y-x)=6y 15y-15x=6y 9y=15x y=5/3x differentiate both sides with respect to t or time. dy/dt=5/3dx/dt you …
A tree casts a shadow 15 feet long. At the same time, a 18 25 Apr 2018 · The height of the tree is 27 ft. We can set up a proportion comparing the height of each object to the length of the shadow. h/s h/15 = 18/10 Cross multiply 10*h = 18*15 10h = 270 Use the multiplicative Inverse (cancel10h)/cancel10 = 270/10 h = 27
How much is 4.22 grams per cm. in pounds per feet? | Socratic 20 Sep 2017 · How much is #4.22# grams per cm. in pounds per feet? Physics. 1 Answer
Is one tenth of a foot a common unit of measurement? - Socratic 25 Aug 2015 · Instead of 15 ft 6 in (or 15'6"), we would be likely to see 15.5 ft. (1 ft = 12 inches, so 6 inches = 0.5 feet.) It is possible to buy an "engineers" ruler or a tape measure that is marked in feet and tenths (and hundredths) of a foot. (Often in addition to the much more common feet and inches and 1/2, 1/4, /18, and 1/16 inch.)