DQ 4B: Applications of Integration Must post first. Please answer all parts of the following question (you must use Caclulus concepts learned and show all work): 1. Lumyn Electronics has seen stellar expansion in recent months. The company's profit, P, is currently growing exponentially at 5% each year. The rate of change of the company's profit can be modeled as dP 0.05dt. Find a general formula that expresses the profit of the company as a function of time, t

Q: FInd the derivative.

A: Find derivative of

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A: Given:The model for the weight of a laboratory mouse between 3 and 11 weeks of age is,

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A: Part a.When the ticket price is $70 dollar, the weekly profit of the airline on flights from Boston ...

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A: Given,

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A: Given, 

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A: The equation to be proved is,

Q: lim x->0       [(1/5+x)-(1/5)]/x

A: Evaluate as follows.

Q: Calculate the limit. (Use symbolic notation and fractions where needed.) .(V25% Sx*) 25x4 11x lim =

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A: Directional derivative of a given function at the point (2,1) along the vector v can be computed as ...

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Q: Let f(x)=3x+4f(x)=3x+4 and g(x)=2x2+4x. After simplifying,   (f∘g)(x)=(f∘g)(x)=

A: Given, 

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A: To determine the real solutions of given equation.

Q: Please use Limits this is under calculus section

A: When x = 2, y = g(x) = 4 / (x - 1) = 4 / (2 - 1) = 4Hence, the point of tangency is (2, 4)

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Q: Calculus Question

A: First find the derivative: Use the rules of differentiation:

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A: Given, Graph to identify by observing their functions.On observing, First graph

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A: For x intercepts, set f(x) =0 and solve for xFor y intercepts, set x = 0 in f(x) and obtain the valu...

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A: When it hits the ground then s(x)=0We solve s(x)=0 for x. Answer: 4 seconds

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A: Given that the principal of $3500 was invested at 4.75% interest, compounded annually.

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A: In order to find symmetries graphically, Visualize folding the graph along y axis. If the graph on e...

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A: Consider the given function.

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A: Firstly, we set u=2t and v=(3t^2-70)^5, then we fid du/dt and dv/dt

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A: a) Express the statement as an equation.

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A: Given,           Amplitude = 12 in.           Period = 1 seconds.           Since, d at t = 0 is 0 i...

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A: “Since you have asked multiple question, we will solve the  question number 77 for you. If you want ...

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A: Given, function

Q: What is the minimum value of  g(x)=6x4-18x3-48 answer should be to 3 decimal places?

A: Derivative of the above function is,

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A:

Q: Use the information about values of the functions and their derivatives to calculate H′(9), where H(...

A: Use quotient rule first. 

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = (e4x − 4)...

A: We first have to find y'We apply exponent rule and chain rule.y'= 8(e^(4x))*(e^(4x)) -4)

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Q: Please see the attached

A: Given,Inner radius of shell is 9 mm.Outer radius of shell is 9.2 mm.

Q: If f(x)=x2+2x+9, simplify each of the following.   f(x+h)f(x+h) =   f(x+h)−f(x)f(x+h)-f(x) =

A: Given, 

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Q: Calculate the limit. (Use symbolic notation and fractions where needed. lim (ln(4x ) - In(3x 1)) xOo

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Q: The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights fr...

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A: To determine the solution inequality and plot it on the number line.