The linear density of a rod of length 4 m is given by rho(x) = 6 + 5 x measured in kilograms per meter, where x is measured in meters from one end of the rod. Find the total mass of the rod.

M(t) = 64 Kgs

Step-by-step explanation:

To find the total mass of the rod, we have to integrate the expression

M(x) = ∫₀⁴ rho(x)*dx

Where rho (x)  =  6  + 5*x   in Kgs /m

M(x) = ∫₀⁴ ( 6  +  5*x ) dx   ⇒ M(x) = ∫₀⁴  6 dx   +  ∫₀⁴ 5*x dx

M(x) = 6x |₀⁴    +  5* x²/2  |₀⁴  

M(x) = 6( 4 - 0 )  + 5/2  ( 16 - 0 )

M(x) = 24 + 40  Kgs

M(t) = 64 Kgs

the answer is 96 degrees

step-by-step explanation:

you have to realize that a line equals 180 degrees

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3