Use the Fundamental Theorem of Line Integrals to calculate ∫C∇ϕ⋅dr⃗ exactly, if ϕ(x, y)=3yln(x)+5x2−5y, and C is the curve parametrized by r⃗ (t)=⟨t4+1,2t11⟩ where 0≤t≤1. ∫C∇ϕ⋅dr⃗ = ?

(B) (6 pts.) Calculate the following line integral, if L is the line segment from (1,0) to (3,0).

∫L(3yx+10x+4xx2+1+ln(y2+1))dx+(3ln( x)−5+xarctan(y4+4))dy =?

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.

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step-by-step explanation:

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answer: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun