Problem #1: In a murder investigation, the temperature of the corpse was 34°C at 1:30pm and 20°C 5 hours later. Normal body temperature is 37°C and the surrounding temperature was 9°C. How long (in hours) before 1:30pm did the murder take place? Problem #1:

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A: The given vector functions

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A: Let a terminal point is denoted by ( x , y ) Then we can measure the terminal angle as follows

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A: Solution is following in explanation step.

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A: x+x−32​Explanation:Step 1: Step 2: Step 3: Step 4:

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Q: 3. Evaluate the integral. (a) f(ti+t²j+t³ k) dt (b) f((1+²) i-4t¹ j - (t²-1) k) dt π/4 (c) f/4…

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Q: 1. Consider the sequence given by a₁ = 1 and an=1+2an-1 for n ≥ 2. (a) Calculate the first six terms…

A: The objective of this question is to analyze a sequence defined by a recursive formula. We will…

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A: we need to evaluate the sum."Note that as per the rules, we are supposed to answer the first three…

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A: Given that point  is on the graph

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Q: 20. Given a = [3, -5,1], b = [-2,4,-1] and 2 = [7,3, -2], find a) b.č b) axč c) , the angle between…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub parts…

Q: Find the length of the curve F(t) = (eỗ cos (‡), eỗ sin(‡), eś) for 0 ≤ t ≤ 2. Arc length =

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A: r(t)=&lt;-4,3,7&gt;+t&lt;-4, -2,-12&gt;Explanation:Hope it helps youplease ask if you have any…

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A: a) Area 2.93 square unitsb) Area 36.00 square unitsExplanation:Find the Area Between the Curvesa)…

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Q: a. f f(x)dx fo g(x)dx b. f f (x) dx * g(x)dx

A: We have to prove that part (a) and part (b) are not equal.Given f(x) = 4 and g(x) = 3.

Q: pls do part b

A: