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Most of you might know that metals expand upon heating and contract when the heating is otherwise. As you are going to be engineers, you also will come to know that dimensions of some objects are really important such that the environmental constraints of places where they are designed and where they’re used are not allowed to vary. Here you have a metal structure that is 10 cm in length and have a certain temperature 70°F will be 𝑦 = 10 + (𝑡 − 70) × 10ିସ Centimeters wide at a nearby temperature 𝑡. Suppose you need to use this metal in a gravity wave detector, where its width must stay within 0.0005 cm of the ideal 10 cm, how close the temperature 𝑡 should be to 𝑡ⴰ = 70°𝐹 to ensure the tolerance limit is respected?
Most of you might know that metals expand upon heating and contract when the heating is otherwise. As you are going to be engineers, you also will come to know that dimensions of some objects are really important such that the environmental constraints of places where they are designed and where they’re used are not allowed to vary. Here you have a metal structure that is 10 cm in length and have a certain temperature 70°F will be 𝑦 = 10 + (𝑡 − 70) × 10ିସ Centimeters wide at a nearby temperature 𝑡. Suppose you need to use this metal in a gravity wave detector, where its width must stay within 0.0005 cm of the ideal 10 cm, how close the temperature 𝑡 should be to 𝑡ⴰ = 70°𝐹 to ensure the tolerance limit is respected?
Find the derivative of the following by using the appropriate rules of differentiation:
a)y=1/√x(x^2-2/X)
b)g(X)=(cos5x)^sin(x^2)
C)h(X)=sinx/1+cosx
By the first principle of differentiation,find the derivative of f(X)=2/2x-1 at X=1
lim
x→0
x
2
sin
if a= 2x^2i-3yzj+xz^2k then div a is ?
radius R = 3 and height H = 9.
radius R = 3 and height H = 9.
#340153 on Dec 2023