y=5Xy-2x

Q: 1. y= x-x'cosx + 2xsinx + 2cosx

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Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is S6 (the Simpson's ...

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Q: The 26th term of a Fibonacci sequence is 121393 and the 27th term is 1916418. What is the 24th term?

A: F0=0, F1=1Fn = Fn-1 + Fn-2,  n≥2 F26 =121393F27 =1916418F27 =F27-1 + F27-2F27 =F26 + F25F25 =F27 -F2...

Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the p...

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0, t...

Q: Example 5.4.3.1 1. Find the maximum rate of change of f at the given point and the direction in whic...

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Q: The expression below is an evaluation of which integral? * 1 6 2æ + 2 In|æ| 2 In|æ – 3|+c | 523 + 62...

A: Using partial fraction. 

Q: A note card company has found that the marginal cost per card of producing x note cards is given ty ...

A: Here we will find total cost of producing 580 cards,

Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

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Q: What is the particular solution to the differential equation with the initial dx condition y(-2) = 3...

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Q: 5. THE NORMAL COMPONENT OF ACCELERATION OF AN OBJECT MOVING WITH VELOCITY VIN A CIRCLE = fcv,r) = r ...

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Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of ...

A: Given problem:- Use the First Derivative Test to find relative (local) maximum points or minimum poi...

Q: Use the Integral Test to determine if the series Σ (n+ 2)/4 1 n=1 converges or diverges.

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Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range 

Q: 1. Consider the curve of the function f (x) = 2x² a. Find an expression for the slope of the curve a...

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Q: Solve the following linear differential equation

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Q: Use the First Derivative Test to find relative (local) maximum points, if any, of the given function...

A: a) y=x3-xDifferentiatey'=3x2-1For local max or miny'=03x2-1=0x2=13x=±13x=-13,13Substitute x=-13 in y...

Q: Determine whether the given series is convergent or divergent. +oo 5n + sin? Σ - | sin n| а. 3" n=1 ...

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Q: Write out first five terms of the sequences, determine whether, the sequence converges, and if so, f...

A: We have to find the limit of the sequence and find first five terms

Q: Given revenue and cost functions R(q)=80q−0.2q2 and C(q)=15q+500​, find the quantity that maximizes ...

A: This question can be solved using the concept of maxima and minima.

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line     ...

Q: Determine the following information regarding the function + 2(x - 4)- A. f (x) f "(x) Intervals of ...

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Q: Evaluate the integral: ſo (x³ – 5æ + 7)dx. Select one: O None. 19

A: Given :∫01(x3-5x+7)dx

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: Find your answer below 

Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

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Q: CHAIN RULE DERIVATIVES glx) = (2 -7x)" %3D 2.) G) - 52 3) y- (6+5t-t) 4.),9(x) = (4u* – eu

A: As per guidelines we can solve only one question at a time so the derivative of first  question can ...

Q: 3 sin (x) 4- V1-x2

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

Q: 3. x* + 3x³ + x² +2 X limx→∞ 2x4 + 2x² + 1

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Q: The range of the function f(x, y) =16-4x² -9y is equal to: [0, 4] [0, 16[ O This option O This optio...

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Q: 5. Sketch the graph of the logarithmic function f(x) = log, x, State the domain, range and asymptote...

A: This question is based on Logarithmic graph and it's properties.

Q: Let the region R be the area enclosed by the function ƒ (x) = /x +2, the horizontal line y = 2 and t...

A: The given problem is solved below in detail.

Q: Find the length of the curve over the given interval. r = 7 - 7 sin(0) on the interval 0 < 0 < 2n

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Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름 (1-sec*x)...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Suppose the closed curve C in R? starts at the point (-1,1), goes along the parabola y = x2 to the p...

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Q: Nicholas hopes to earn $600 in interest in 3.3 years time from $24,000 that he has available to inve...

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a) Expr...

A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:...

Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: 10x + 1800 The average cost for a company to produce x units of a product is given by the function A...

A: Given: Average cost for a company to produce x units of a product is given by a function A(x) =( 10x...

Q: t T F(x) = | In(4 - t) cos dt 9. 3 Find F(3) b. a. F'(3) F"(3). You must show your work. C.

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Q: Integral of tan^5(x) dx Show Complete solution

A: This is a problem of differentiation. By general formula we will solve the question. Assume, secx = ...

Q: Anote card company has found that the marginal cost per card of producing x note cards is given by t...

A: To find: The total cost of producing 580 cards. Given information: The marginal cost per card of pro...

Q: Find the area bounded by the given curves and lines. 1 (2-2)3 x = -2 x = 0

A: This question is based on application of integration.

Q: . Find (f o g)(x) for the pair of functions. f (x) = x – 3 g(x) = 6x + 8 (fo g)(x) =

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Q: (1.5,2) 1.5 (0,7, 0.2Y f0.7,0.2) O.5 to - O.5 -0.57 ー15 0.5 1.5 (-1,2,-1) - 15 -2 does f have the ab...

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Q: 9. Evaluate the definite integrals (give exact answers): a) (2x + 3)(r – 5)dx b) e -(1³ – 2x² + 1)dx

A: I am attaching image so that you understand each and every step.

Q: (1.5,2) 1.5 (0,7, 0. 2) f0.7,02) O5 ー15 -05 O.5 0.5 1.5 1 -0.57 (ーム2,-) -15: -2 Where does f have lo...

A: From the given graph we can see that- f has local minimum at x = 0 and x = 1

Q: The amount A of dollars accumulated after t years through an investment of Ao dollars at an interest...

A: Continuous compound interest formula : A = A0ert where A0 = amount invested in dollars A = amount ac...

Q: 2sm x-1 2. y= COST+2

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Q: -2 dx 1 x-1

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Q: Let a = ci + jand b = 3i + 6j. Find c so that a and b are orthogonal. %3D c = i If L is a line in 2-...

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Q: y"(x) – 4y '(x) + 4y(x) = 4e²x; y(0) = -1, y'(0) = -4 Answer: y(x) = e?x (2x² – 2x – 1)

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