5x2 + 3x – 4 If h(x) find: 4 – 5x = (x),4

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Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must...

A: Given query is to find the number items to be sold to obtain the maximum profit.

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.

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Q: „J: Evaluate the integral (4x + 1) In x dx . Evaluate the integral Sou 6 tan x sec* x dx 1: Evaluate...

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Q: Evaluate the following integrals |(6V - x-3)°dx

A: The integration of the integral is (6√x - x-3)2

Q: Given Cost and Revenue functions C(q)=q^3-8q^2+52q+5000 and R(q)=−3q^2+2500q​, what costs should t...

A: The given question has been solved in detail.

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Q: How to solve the following ordinary differential equation (ODE) xy' – 2y + y² = x“.

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Q: Find the derivatives of the following functions: 1. y = 2x3 + 6x 2. y = 7x* - 3x? 3. y = (3x +1)(2x ...

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Q: 83. The acceleration of a particle moving along the x-axis is given by a(t) = (t- 8)sin t for 0 <IS ...

A: we know a(t)=d(v(t))dt where a(t) is the acceleration, v(t) is velocity and t is time. The particle ...

Q: Evaluate the given integrals. sin 6x dx sin23x 4.

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Q: Your are driving away from Tulsa. Your distance​ (in miles) away from Tulsa x hours after​ 12:00 n...

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Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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: A vector function is given as A = R3R cos() What is the numerical result of fy (V A)dv over the hemi...

A: Solution

Q: 1. The velocity of a plane is modeled by v(t) = –1+ cos (+ 3 sin (), measured in miles per minute, f...

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Q: Find a general solution for y in terms of x that satisfies the first-order linear differential equat...

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Q: Using the integration bay parts formula with u = x- dv = cos x dx, the integral x cos x dx becomes

A: The given integral can be solved as follows:

Q: To evaluate the integral 2х — 1 dx x2 – 16 we use the partial fraction decomposition of the integran...

A: Need to find the partial fraction that will use to evaluate the integral ∫2x-1x2-16 dx.

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Q: Write TRUE if the statement is correct, otherwise, write FALSE. If your answer is false, provide a c...

A: To answer the given question about continuity and differentiability.

Q: у 3 cos (4x — 19)

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Q: lim (r +1)' sin x (c) X-0 2x (d) sin x lim 20? + sin 0 lim (e) 40

A: Topic = Limits As per guidelines , at a time only three sub-parts can be answered. please repost for...

Q: Find aw/as and aw/Ət using the appropriate Chain Rule. Function Values w = sin(5x + 6y) x = s + t, y...

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Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

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Q: C(x) = 1500 + 13x – 0.1x2 + 0.0005x3. - %3D Find the marginal inal cost finctien?

A: Given query is to find the marginal cost function.

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Q: 6. S Ve3x + e4x dx

A: 6.∫e3x+e4x3 dx∫e3x+e4x13dx

Q: find dy/dx  y^(2) sec(x)+e^(xy) =1

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Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 – 3y², and the plan...

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Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx V1 + x2 tran...

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Q: Ge Given revenue and cost functions R(q) = 70q - 0.4q and C(g) = 14q + 550, find the maximum revenue...

A: Given problem:- Given revenue and cost functions R(q) = 70q -0.4q² and C(q)= 14q+550, find the maxim...

Q: (-1)n+l2nx" n2 + 3 Determine the interval of convergence of n=1

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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: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solu...

A: We have to find the solution set for the following equations using guass Jordon method.

Q: f C(t) = 55t e - 0.2t measures the concentration, in ng of a drug in a person's system t hours after...

A: Given query is to find the maximum concentration of the drug.

Q: 2ce2x Curves y = 1+ce2x

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Q: 2. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into...

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Q: ng If C(t) = 50t e - 0.2t measures the concentration, in of a drug in a person's system t hours afte...

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Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10

A: First we use partial fraction decomposition and then evaluate the integral.

Q: True or False; In the partial fraction decomposition, x + 8 A В D + x(x – 1)(x + 3) х — 1 x + 3 - we...

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Q: For each part, use a short sentence to explain why the expression does not make sense. S, So e* cos(...

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Q: 00 sinn Does the series (- 1)" : 2 converge absolutely, converge conditionally, or diverge? n= 1

A: First I have written the definition of Absolutely CONVERGENT series and then show that given series ...

Q: If the power of the cosine is odd and positive Convert the remaining factors into cosines Convert th...

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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: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm³/...

A: Let the radius of the sphere is r then given drdt=4 mm/secand diameter is 2r=40 mm

Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (1,-3) -5...

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