Given the graph of the linear function y = k(t) with k(6) = 24. %3D y 2A A 6 t 8.1 Show how you use the graph and area to calculate f" k(t)dt in terms of A.

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A: given that                                   for maximum or minimum we need derivative. so,…

Q: T(E) = N= T'(4) Evoluate (t) NG) for t=L,

A: First we find r'(t) then put t=1

Q: Please answers part c, d

A: As per norms, the first three questions are answered. The questions concern the linear approximation…

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A: Differential equations

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A: Given that the dosage D of diphenhydramine for a dog of body of mass w kg is D=4.7w2/3 . We need to…

Q: Q2 The rate of heat transfer of a body can be express as: dT -k(T – Ta) dt where T= temperature of…

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Q: Find the relative rate of change of the function f(t) = 7.4e-0.6t using %3D d In f(t). dt the…

A: Solution is given below:

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A: Given, The tangent line to the graph of y=ln(2x) is perpendicular to x+4y=1 Here, y=ln(2x) To find…

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A: This question is based on application of Derivative.

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A: Given

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Q: Find the length of the graph of ; a. f(x)=⅓x2 -⅔ between x=2 and x=3.  b. x=cost, y=sint from t=0…

A: See the detailed solution below.

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A: Given that:                        Height of a given plant:          H(t)=4t12-2t…

Q: A mining expert estimates that the production growth rate of copper overtime, or "/dt, is given by…

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A: Given that: To find:

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A: we have to calculate the following

Q: e f² = ¹² Use Simpson's Rule to estimate dx with a maximum error of 0.1.

A: Simpson Rule According to Simpson's Rule, ∫abfxdx=∆x3fx0+4fx1+2fx2+........+4fxn-1+fx2

Q: Q2 The rate of heat transfer of a body can be express as: dT -k(T – Ta) dt where T= temperature of…

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A: Given heart equation is ∂2u∂x2=1c2∂u∂t Since c2=1 So heat equation will be ∂u∂t=∂2u∂x2…

Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 ОВ. 1.363 O C. 2.718 O D. 1.372

A: Given Degrees of freedom (df)=11

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A: Given: The coefficient of water (μx0)is 0.206/cm.

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A: Given data: Function:

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A: The concentration C of a medication in the bloodstream t hours after an injection is given by:…

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A: We will solve the problem

Q: A mining expert estimates that the production growth rate of copper overtime, or /dt , is given by…

A: We will use method of solving Leibnitz's linear differential equation

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A: Given, a function , C = 0.2q2 + 2.1q + 6

Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 В. 2.718 O C. 1.363 O D. 1.372

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Q: The population of a culture of bacteria has a growth rate given by p'(t) = 210 bacteria per hour,…

A: Given data is: The population of a bacteria growth culture is: p't=210t+1r  The increase in…

Q: Q2 The rate of heat transfer of a body can be express as: dT = -k(T – Ta) dt where T= temperature of…

A: Using Euler's method we can find the solution, the initial values are t0 = 0 and T0 = 90°C The…

Q: The accompanying graph plots the best quadratic fit, a(t) = − 0.70t^2 + 1.44t + 10.44, to the data…

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A: Given that,

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A: Given that speed is  s=(60+x) mi/hour time required to travel D miles is T(x)=60D(60+x)-1 in minutes

Q: please explain the whole question

A: The general form of Simpson’s rule is

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