Cosr -e Sinx sinx +x +e The integral dr may be written as mensinx + px+ ge"x + C: where m, n, p. q, r, and C are constants not equal to zero. Evaluate m +n+p+q+r. sinx

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

A: Given problem:- Find the maximum profit and the number of units that must be produced and sold in or...

Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

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A: Find your answer below 

Q: 6) pind ful indefinite integrel. 4 sec (2x) de

A: ∫sec4(8x)dx ∫ sec2(8x)(1+tan2(8x) )dx ∫sec2(8x) + sec2(8x)tan2(8x) dx now assume that tan8x = u du...

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Q: 1. tan(8) cos(8)

A: Given query is to simplify the expression  

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

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A: This question can be solved using the derivative of function of function.

Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: T + : 0 UCt )=3€-30€ +72 act)= 6t-30 When is the particle speeding up?

A: A particle is said to be speeding up on the time interval (a,b) iff the acceleration function a(t)&g...

Q: Section 4.1 p. 363/365 # 40 Solve the following initial-value problems starting from y(t = 0) =1 and...

A: We have to solve the initial value problem and draw solutions.

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Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

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Q: 2 dx х3.4 а. x2.2

A: ∫1x2.2-2x3.4dx∫x-2.2dx-2∫x-3.4dxFormula: ∫xndx=xn+1n+1+C

Q: 4) The position function of a particle is given by F(t) = (t², 5t, tť² – 2t). When is the speed a mi...

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A: The given differential equation is: dxdt=x2+14 x0=6 To find a particular solution.

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Q: Find the linearization of y = eV3x у at x = 64. (Use symbolic notation and fractions where needed.) ...

A: topic- linearization of a function 

Q: b -x" + -xP +C. What is the value of the sum a The general antiderivative of (3x2-4) 2x2 can be writ...

A: Explained below 

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A: Given that a differential equations and we solve this differential equation by using saparation meth...

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Q: these equations have complex characteristic roots. Find the general solution in each case.  a.y'' +...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

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

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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: 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

Q: Write the comp number in standard form. (Simplify your answer completely.) 3-V-64

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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: 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: 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.

Q: ☺ Find tue indefinile intgrel. cos (5@] do

A: ∫un du = un+1n+1+C ; where, 'C' is an integration constant.

Q: Give the Maclaurin series expansion of f(x) = ln(3 – 2x). Determine its interval of convergence. App...

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Q: 7.5- yy - 9 4+9) dy -6- 8.S 1 dx e2x+ e-2x

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Q: 5. y = xArctanx - In V1+x²

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Q: 2x+ 17 3.5 dx x* +6 4. ſ cot63x dx

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Q: Sin/cos

A: Given query is to simplify the expression.

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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 8:25 PM

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Q: Σ 7 2 n n=1 п (In? п + 1) 8

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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:

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Q: 1500+13x-0.01x240.000s 3 Compare C'(400) with the cost of manufacturing the 401st yard of fabric. (R...

A: Given:    C(x) = 1500+13x-0.01x2+0.0005x3

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Q: yi + yi = 1, when x = 0, y = 4

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Q: V. Evaluate the following using the chain rule and implicit differentiation. 1. h(x) = (2x + 1)5(3x ...

A: All the parts have been solved in detail

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