that satisfy f(x) = x³ + x – 1, [0,2]

Q: dy = ay + b whose dt Write down a differential equation of the form 3 as t → o. 4 solutions all appr...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: V1+x3 dx [6] S (7) (ax2a (x2a+1)*dx x-2 ах2а (7] S

A: Given: (1)   ∫1+x33x-2dx (2)  ∫ax2ax2a+13xdx

Q: 50 -40 -30 -20-10 10 20 30 40 50 Based on the pattern you see in the graph answer the following ques...

A: The symbol limx→af(x) represents the value of f(x) as x is nearing the value a irrespective of appro...

Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

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Q: For the following items, consider the sequence {()"-}. 1. What are the first five terms of the seque...

A: We have to find 1st five point and draw the graph as well as the property of sequence

Q: Determine the area of the region enclosed by x=12y^2−3 and y=x−1

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Q: 2 Show that the following limit does not exist. lim Ty Cos y (r.9)-(0.0) 3r+ y²

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Q: 2x² +y? Which of the following is the general solution to the differential equation dx 2xy +3y² 2x3 ...

A: To find the general solution of the differential equationdydx=- 2x2+y22xy+3y2

Q: 19. The polynomial f(x) = (x – 2)3 = (x – 2)(x – 2)(x – 2) has æ = 2 as a zero four times. True Fals...

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Q: Find the equation of the tangent line of y = 4e* at xo = 0. (Use symbolic notation and fractions whe...

A: y=4exSubstitute x=0y=4e0=4The point is (0,4)

Q: dy Which of the following is the general solution to the differential equation dx e x+ In x = C y ex...

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 – 7x)y² , y(0) : - ...

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Q: x³ + 3x dx. x2 + 1

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Q: Given 2 non-zero vectors ū and v, calculate (4ü +3v)•(2ũ – v) and express the final answer in terms ...

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Q: he differential equation (8 – r²)dr = %3D r² (1n (;) – = 0 cos cos = 0 (r+ 4) (in (;) –

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. in an = sin (Use...

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Q: nRT Determine dPldn for P(n,R,T,V)= O NRIV O -NRTIV2 O RTIV O NTIV

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Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

A: The given sequence is: an=52n+510n+5n+10

Q: Evaluate the following: 1. S(6x² – 4x + 1) dx

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fx...

Q: Consider the function f(r) 6/z + 10 on the interval 2, 10. Find the average or mean slope of the fun...

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Q: ーX- 3, -3x2 + 2x - 3, x> 1 x< 1 f(x) = %3D Determine which of the following statements are true. Sel...

A: We will find left hand limit (L H.S.) and right hand side (R.H.S).

Q: A company's Marginal cost function is M(x) =6x and the fixed cost is Php 1000. Find the cost functio...

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Q: 8. Solve for all sides of the triangle. 12 40° 95 A

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Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above discussion...

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Q: 3. Tunctio T(X), WhOSe graph is shown below. Determine the limit of a function, by observing the beh...

A: Que : determine the limit of the function, by observing the behaviour of the graph.

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...

A: Since u denotes the temperature of an object, dudt ∝ (u - ua)dudt = - k (u - ua)(Negative sign impli...

Q: 4 SET UP AN INTEGIUL fonila fen SUifACE Arfer BounDED By Y=x-2y, x-C , Y=3, Auo x 20 CHEN ReTATowh A...

A: The integral for finding surface area of the solid obtained when the region rotated about y axis is ...

Q: ,7x+4 dx = хе

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Q: 1. Evaluate the following limits. 3x + 10 – 4 (a) lim 1+2- 12 - 4x + 4

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Q: The annual world consumption of silver is predicted to be 22.3e0.01r , thousand metric tons per year...

A: Find your answer below 

Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t ye...

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Q: 10. Which of the following are roots of x3- 3x²– 45x-81? -3 and 9 -4 and 8 -2 and -1 -1 and 9

A: Simplification

Q: -1 4x° sec x dx

A: In this question we will use basic concepts of calculus i.e concepts of indefinite integration. We w...

Q: Using integration by parts, uV- V du cone for j 3*crc'(3x) sin C3x ) dx solution. dv = du = V =

A: Solution is here

Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: 1.) Suppose p > 0. What is the relationship between n=1/i da and n+1 dx? Make sure to justify your a...

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Q: 1.3 + j4 2. –3 + j4 3. –3 – j4 4. 3 - j4

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Q: Determine whether the alternating series converges. E(- 1*- k=3 7ln k k O The series diverges. O The...

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Q: rmine the coefficient of Cot(x) when we evaluate J[cot(x) – csc(x)]²dx. 1 1 2 None of the given choi...

A: Given query is to find the integral.

Q: dx Evaluate V4x – x2 - A. 2 3 C. 4 D. B.

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Q: A ship carrying 1000 passengers is wrecked on a small island from which the passengers are never res...

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Q: The graph of f (x) is shown below. Which of the following statements are true? 7- 6- 4 %3D %3D -7 -6...

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Q: Evaluate the integral f 2x (x² + 5) dx using the substitution 13 u = x +5. 2x (x² + 5)*° d =| +C

A: I =∫ 2 x (x2+5)13 dx  u = x2+5du = 2x dxI =∫ u13  du We know that,∫ xn  dx =xn+1n+1+C

Q: 23-24 Verify the linear approximation at (0, 0). 23. e" cos (ry) ze+1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: The first part of this problem lists Polar Coordinates for six points. Match each Polar coordinate (...

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Q: 35. Find all points at which the direction of greatest rate of change of the function f (x, y) = x² ...

A: Find your answer below 

Q: There is a jump discontinuity at x = 1 and lim f(x) = 1

A: At X=1, there is a jump discontinuity.   limx→1- f(x) = 1.As function f(x) approaches towards 1 from...

Q: [2x+5y=7 3x + 2y = -6' 1. Solve the linear system using graphical method.

A: The given linear system,2x+5y=73x+2y=-6

Q: 1. Evaluate: e3z dz (ez + e5z)2 0. 8.

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