Find all critical numbers by hand. 2-44 x+7 and

Q: what is the difference between a power series and the series?

A: series:        The word series as used in mathematics means an infinite sum. For example, the…

Q: 5 3 2 1 Find the area under the curve y 5 I over the interval [1, 2].

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

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1100yd…

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Q: 3. 3 lim x→∞x4

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Q: Question Use properties of the indefinite integral to express the following integral in terms of…

A: To solve the following problem of Integration

Q: Evaluate the indefinite integral. fe³√ √13 + x¹dx +C

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Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…

A: here ln(5x)2 can be written as  ln(5x)2=2ln(5x) ln(5x)2=2(ln5+lnx) now we can write as…

Q: Evaluate the definite integral    D=∫1/20sin(πt)dt. NOTE: Use exact values only. Do not provide a…

A: Given query is to find the integral.

Q: 2. Solve for the following rates, treating all variables as functions of t dr (a) Solve for dl (b)…

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Q: Find the roots of (D4 +D²+1) 0 a 1± √3 1± √√√3 2 2 =1=Fܪܝ ܘO b. -1± √√3 -1± √3 2 2 0²1+√√√3 -1±i√3…

A: According to question,Given Equation,D4 + D2 + 1 = 0;

Q: Raggs, Ltd. a clothing​ firm, determines that in order to sell x​ suits, the price per suit must be…

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

Q: 13. The function ƒ is defined by f(x) = {²_₁ (A) 2 (B) 6 (C) 8 for x < 3 x-1 for x ≥ 3. (D) 10 What…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 3 ¹/²₂ (62²¹ +42²) dæ Find Question Help: Video Message instructor Submit Question Jump to Answer

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Q: Use integration by parts to evaluate the definite integral. ('in In(1 + 8x) dx Need Help? Read It…

A: Given query is to find the value of the integral.

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: Determine which of the following tests would be best to use to determine the convergence of the…

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: 5. 6. 7. dx x² + t√t2² + x² dt tx dy de dx dy 0sec(y/0) + y Ꮎ 4y - 3x 2x - y

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Q: Evaluate tan³ (32)sec² (32)dr + C

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Q: A bacterial population is 2,000 at time t = 0, and its rate of growth is 1,000 8t bacteria per hour…

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Q: ΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑ 11. Let f be the function defined by f(x) = [x – 2] for all x. Which…

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Q: A particle is moving along the curve having the vector equation R(t) = 4 cos ti + 4 sin tj + 6tk.…

A: Given Position vector:- Rt=4costi+4sintj+6tk

Q: 9. (x² + 3xy + y²)dx - x²dy = 0

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Q: estion 4 Arial Find the total cost function for the g C'(x)=1.5x²-8.4x+64 where 4 units cost $250…

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Q: Evaluate the definite integral .9 10x² +9 dr

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Q: Use the ratio test to determine if the series converges or diverges n 3+2n n In(n) Σ - n=2

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Q: 1 sec. and Find the average rate of change of d(t) between the values (a) t = t = 3 sec., between…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. da (463-1) 25 dt = ab…

A: Given query is to find the derivative.

Q: The function f(x) = 0.02x + 100 represents the rate of flow of money in dollars per year. Assume a…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Je sin(6t) dt ecos(6t)…

A: Given integral ∫ecos(6t)sin( 6t ) dt

Q: 7. dx dy 4y - 3x 2x-y

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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: 5) increase in altitude. See diagram below. A road is inclined at an angle of 5°. After driving…

A: Given: A road is inclined at an angle of 5 degrees.

Q: Find sin 2x, cos 2x, and tan 2x if cosx = sin 2x cos 2x tan 2x = 0) = 0 = 0 3 and x terminates in…

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Q: d. f(x) = x tan-¹(x²), a = 0

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Q: Find the radius of convergence of the power series. (If you need to use oo or -co, enter INFINITY or…

A: Given: ∑n=0∞-1nxnn+8 So, an=-1nxnn+8

Q: Graph the set {xx<-1} on the number line. Then, write the set using interval notation. {x|x<-1}=

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 8x³. -7√x 1. X dx

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Q: = converge or diverge? pply: Series Converges Diverges n=1

A: Topic:- sequence and series

Q: Triple Integral Evaluate 2 x exty de dy fofofo 0² (y +22) Jan

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Q: Evaluate the definite integral   D=∫π/20sin(2t)dt.     NOTE: Use exact values only. Do not…

A: Given query is to find the integral.

Q: The graph shows the number of fatal automobile accidents in a certain state for various years.…

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Q: The​ demand, D, for a new rollerball pen is given by D=0.007p3−0.4p2+140p​, where p is the price in…

A: It is given that demand of new rollerball pen is given by D,  Where D = 0.007p3-0.4p2+140p  where p…

Q: answer

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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: Find the Taylor series for the following functions, centered at the given a.

A: we need to find out the taylor series for the given function at the given value of a. Note that as…

Q: After the appropriate substitution, which of the following yields an arcsine function upon…

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Q: x² +1 (c) (Still: the function f is given by f(x) 1+z2.) What is the smallest area of a x² rectangle…

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Q: Evaluate the definite integral [*2 sin(x)dx

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Q: Use integration by parts to evaluate the definite integral. 5.2 14 X ex/T dx

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Q: 3. Consider the piecewise function g(t) = ((t + 2)² +2 t≤0 t+6 t> 0° (a) Does g(t) have an absolute…

A: Let's find absolute maximum or minimum value of g(t).