Express the limit as a definite integral on the given interval LC lim Exi In(2 + x?) Δx, [0,1] i=1 dx

Q: Evaluate the indefinite integral. 9dx x ln(2x) +C

A: The given integral is an indefinite integral . We solve this integral using substitution method .

Q: 62. 63. -3m -म y Af 3m 5m X

A: We know y=AsinBx-C+D⇒A=Amplitude ⇒C=Phase shift ⇒D=Vertical shift ⇒Time period T=2πB

Q: 1 2 A= -2 4 -2 4 3 5 -1 5 4 3 3 7 6 6

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Q: What is the differential equation of the orthogonal trajectories of the family of curves x²-3xy -…

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Q: her first day in a hospital, Kiri receives u₁ milligrams (mg) of a therapeutic drug. The amount of…

A: Introduction to the problem: This questions is the application of Arithmetic Progression(AP). We…

Q: Using the substitution 6 sin(u) = x, we obtain [²√36 - w²dx = [ K sin" u cos” udu where the…

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Q: Use a power series to represent the function f(x) Provide your answer below: M8 n = 0 6x + 4…

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Q: Consider the function f(x) = 8√x + 5 on the interval [1, 8]. Find the average or mean slope of the…

A: Givenf(x)=8x+5We are required to find the average or mean slope of the function on the interval…

Q: Find the rectangular coordinates (x, y, z) of the point with the cylindrical coordinates (6,2,2).…

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Q: A function h has graph 2- f(x) = n (-4, 4). If f is defined on (-4, 4) by -1, -4<x<-3, - Ma h(t) dt,…

A: Given: A function h(x) f(x)=-1   -4&lt;x&lt;-3∫-3xhtdt     -3≤x&lt;4   Note: This question can be…

Q: Find the consumers' surplus at a price level of p = $150 for the price-demand equation below.…

A: Given price demand function D( x ) = 300 - 0.04x as we know that consumer surplus = 12Qmarket(…

Q: Given a = log, 5 and b = log, 4, use logarithmic properties to represent each of the following…

A: Please see the below picture for detailed solution.

Q: marginal cost for a company to produce q items is given by MC(g) = 0.005q^2 - 0.7q + 650. The…

A: Given query is to find the cost at production level 14.

Q: Set up and evaluate the integral for the area of the shaded region. y=11-x y=121-x² Q Set up the…

A: Let's find area by using integration.

Q: Inventory Control A company anticipates there will be a demand for 20,000 copies of a certain book…

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Q: (D3-5D2+8D-4)y= 2x, Find Y = Yc - Yp 1 a. O b. c+ciải tế giớ OC 12²³x²= + 12²x²5+ [²³²] + x³²50 -2x…

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Q: 9) What is the monthly payment for a 170,000 at 7.25: per annum ) mortgage of amortized for 20 years

A: NOTE: Refresh your page if you can't see any equations. . here we have L=170000 (loan amount)…

Q: 3. Use implicit differentiation to find dy daif x³y² - y² = 5x + 4 tan y

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Q: 12. Using the substitution u = = √x. S₁. (A) 25e" du (B) 25e" √x e" du dx is equal to which of the…

A: The given integral: ∫14exxdx

Q: Compute (a) ₁ and (b) ₂ for the iterative process defined by n+1 = 2xn (4 — xn) with xo (a) x₁ = -…

A: Given query is to find x1 and x2 .

Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

A: given  rate is  f(t)=3tinitial covers is  1200 acres∫tndt=tn+1n+1+c

Q: Question 33 The demand curve for a certain product is given by p(q) = 551-q^2. The supply curve…

A: The demand curve for a certain product is given by pq=551-q2. The supply curve is given by pq=1.3q2.…

Q: Sketch the area represented by g(x). - 60 O y g(x)= (3 + sin(t)) dt Find g'(x) in two of the…

A: g(x) = ∫0x(3 + sint) dtg'(x) = ddx∫03(3 + sin t)dt= (3 + sinx) ddx(x) - (3 + sin 0) ddx(0)=…

Q: Integrate each of the following functions using substitution, finding the most general…

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

Q: 12 5cm C = 9.8 cm and LA = 59° LC is? The messure of Sime Sims Mice Sim (98 x sim 59°) 12.5 =…

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Q: Convert the point (x, y, z)=(5, 1, 3) to spherical coordinates. Give answers as positive values,…

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Q: Consider the function f(x) = 4√√x + 6 on the interval [3, 8]. Find the average or mean slope of the…

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Q: (D² + 5D + 4)y = 3 - 2x, Find Yp O a. 11 8 O b. O d. 11 C. 11 — | 8 11 8 8 + e. none w|x 3 I + w/x…

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Q: Inventory Control Jesaki Publishing sells 50,000 copies of a certain book each year. It costs the…

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Q: 4. The table shows selected values of a continuous function f(x), whose domain is 2 ≤ x ≤ 15. What…

A: Given Table:-   x 2 5 8 9 15 f(x) 11 40 35 27 15

Q: 6. (continuous solution) + P(x)y= 4r where P(x) = 2 if 0 ≤ x ≤1 2 HIN if I ≥ 1 ,y(0) = 3

A: You have Asked only Qustion no. 6, 6. According to question,Given Differential equation,dydx + Px y…

Q: 24 of 86 (B) lim f(x) exists. x-3 6 5 4 3 2 1 (C) lim f(x) exists. x-4 1 2 3 4 5 Graph of f 5. The…

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Q: OHaganBooks.com has been experiencing a run of bad luck with its summer college intern program in…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is  to find the…

Q: Find po q and its domain given: p(x) = √4x² and q(x) = √3-x

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Q: x²-x+6 lim x⇒-2 (x + 2)²

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Given, an=67n+7

Q: Find the roots of (D4 +D²+1) Oa 1± √3 1± √√3 1±i√3 fro 2 O b. b − 1 ± √3¸ −1 ± i√3 2 2 2 EM=130 01 ±…

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Q: lim √x ln x X x+0+

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Q: 5. ydx = (2y² + x)dy

A: As per Bartley guidelines we are supposed to answer only one question per post. Hence answering only…

Q: (D3-4D2)y = 5, Find Yp O a. 5x² 4 O b. 5x² 4 O C. 5x² 12 O d. 5x² 12 O e. none

A: To find Yp

Q: Set up and evaluate the integral for the area of the shaded region. y = 4-x y=16-x² Set up the…

A: Given two curves y = 4 - x y = 16 - x2first find intersection points 4 - x = 16 - x2x2 - x - 12 = 0…

Q: Suppose that f(x) and g(x) are given by the power series f(x) = 4+2x+ 2x² + 3x³ +... and g(x) = 6 +…

A: We need to find coefficients. As per Bartleby guideline we can solve one question. Please upload…

Q: You deposit $300 each month into an account earning 6.5% interest compounded monthl a) How much will…

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Q: Which of the following functions is equivalent to ƒ (x) = log4 (16x)? Hint: There are 4 correct…

A: The given function fx=log416x. We have to find the equivalent functions of fx.

Q: #

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Q: Consider the region between the functions y=x² and y=x. Describe the region as Type II. Select the…

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Q: ") Triangle ABC is Drawn with a 125cm C= 9.8cm and LA=59' The messure of Lc is? Ⓒ is an angle in…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6. A particle moves along the x-axis. The velocity of the particle at time t is 6t - t². What is the…

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Q: Compute T₂(x) at x = 0.5 for y = e² and use a calculator to compute the error |eª — T₂(x)| at x =…

A: Let's find Taylor series and error.

Q: (D2 - 3D + 2)y=e5x, Find Y = Yc+ Yp O a. 1 5x ¨°C et + C₂e²t. + O b. -X ce c₁₂e-x + c₂e-²x + OC. O…

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