If C(t) = 71.6t e -0.4t ng of a drug in a person's system t hours after the drug is administered, when does the drug reach peak measures the concentration, in ml concentration?

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Q: 1. f (х) — 5ӕ -4

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A: Yes. This problem can be solved using Wallis formula.

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A: Given:     Function st=-2t33+3t2+20t-3    where t≥0 Velocity vt=ddt-2t33+3t2+20t-3                  ...

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x) dxn...

Q: (b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line ...

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Q: Find the largest possible area of a rectangle that be found in a circle whose diameter is (4).

A: The largest possible are of a rectangle that be found in a circle whose diameter is 4.

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

A: We have to find volume of revolution about x ax

Q: Question 1 Find the area bounded by the parabola x = y? and y = x-2. Answer in decimal form.

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Q: Given cost and price (demand) functions C(q) = 100g + 42,000 and p(g) = - 2.1g + 870, what is the ma...

A: Given

Q: у 3 cos (4x — 19)

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Q: substitution x = tan 0, then, the integral dx 1 + x2 transforms into tan 0 sec 0 d0 Select one:

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Q: 8. Using (4.6), find the polynomial P2(x) that interpolates the following data. In each case, simpli...

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: It can be solved using differentiation and quadratic formula.

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Q: log. ) 1) The conversion between exponential form and logarithmic form: Logarithmic form Exponential...

A: logarithmic problem

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Q: The arc length along the parabola y = x² from (1,1) to (2,4) is given by which of the following inte...

A: Let's find. 

Q: n=0 n!

A: This is series problem

Q: (cos v)³ + sin v dv (cos v)²

A: Topic:- integration

Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9...

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

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Q: Given revenue and cost functions R(q) = 90q – C - 0.4g and C(q) = 15q + 550, find the quantity when ...

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Q: rove that the given equation is a solution to the given DE: 5. x = 2t + C; y = Ct + 3 ; 2(y')² – xy'...

A: Topic:- application of derivatives

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Q: The acceleration of an object (in m/s2) is given by the function a(t) = 9 sin(t). The initial veloci...

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Q: Work Problems a) Evaluate the integral (4x + 1) ln x dx b) Evaluate the integral fou | 6 tan" x sec“...

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Q: The Taylor series expansion is given by: 00 (-1)" sin x= 2n +1 (2n + 1)! n= 0 Evaluate sin 44° using...

A: We will find all the asked values using Taylor series expansion as following.

Q: differential equation .2x 2

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Q: (x – 2)2 +1 if x 2

A: We have to check continuity of function at x=0 and x=2

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2.r) p) Fin...

A: To find: The Maclaurin series expansion of f(x)=ln(3-2x). Concept used: The Maclaurin series can be ...

Q: Find dy/dx by implicit differentiation. 4. x²- 2xy + y = c 5. x'y + xy² =3x 6. y +x°y =1+ ye?

A: This question is based on differentiating equation both side with respect to x.

Q: QUESTION 5 Use the inverse transforms of some basic functions to find the given inverse transform. 1...

A: We know that, Laplace inverse of {1s}= 1 and Laplace inverse of {ss2+a2} = cos(at).

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: Q1. Fill in the blank with a suitable mathematical expression. 1. The function f(x) is symmetric abo...

A: As per bartleby guidelines we only give first question answers. 

Q: O Find a general salution answ r リーx- C-X

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Q: Consider the piecewise function 3.x if x < -2 f(x) = a.x² + 2x + b if – 2 < x Where a and b are cert...

A: Given query is to find the value of a and be.

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

A: Given, The cost function C(q) = q^3 - 135q^2 + 2500q Differentiate with respect to q, we  get C'(q) ...

Q: 8. f(x) = (2x - 3)(6x – 2)10

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Q: TT(e-1) В. 2.

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Q: Find the goneral Solution: HW auswr メピー=C

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Q: - y = (2x² – 4x + 1)60

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: f(x) – f(1) If f(x) = log2(x), then lim %3D x-1 (A) me In(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:23 PM

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Q: Consider a utility maximizing consumer who generates utility according to the following 1 utility fu...

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Q: 5. S(5 -5°dx

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Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(q) = - 3q +2400q, what is the min...

A: Given query is to find minimum marginal cost.

Q: F ind the limit using L'Hopital Rule. lim 4 - 16 3x-16

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Q: Question 3 Find the change in y = 2x -3 if the x changes from 3.3 to 3.5. А) 0.1 0.2 0.3 0.4

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Q: 2 dx tan x(5+ln sin x)

A: