xy' + (x + 1)y = x, y(ln(2)) = 1

Q: Find an equation of the tangent line to the graph of the function at a given point. Do not use the l...

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Q: Differentiate f(æ) = 27. 1.

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Q: x²dx S: 1. 4 – 3 x' dy 2. V16 + y²

A: Let I=∫x24-x2dxI=∫x222-x2dxPut x=2sinudifferentiate dx=2cosu.duI=∫22sin2u22-22sin2u2cosu.duI=∫4sin2u...

Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y? = x and y = 2 ...

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Q: Using u-substitution, the integral Jf(x)dx reduces to a new integral J glu) - , evaluate the new int...

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Q: Find an equation for the graph sketched below: 8- 4 3- -5 -4 -3 -2 2 3 4 5 -2 -7 8+ f(x) = %3D Quest...

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Q: A trapezoid has an area of 36 sq. m and an altitude of 2m. Its two bases have ratio of 4:5. Find the...

A: A trapezoid has an area of 36 m2 and an altitude of 2 m. Its two bases have ratio of 4:5. Let, a=4x...

Q: Given: -dx. Using u-substitution and transformation of integrand, what is u and du? 3Vx - 2x A) u = ...

A: The given integral is 5/[3√x -2x].

Q: dx can be re-written as 1-x The integral A lim (2-2 V1-m ) m-- 00 (B lim (-1+2 V1-m) m - - 00 (c) li...

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Q: dx S (x² – 6x + 13)² 4.

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Q: 2x2 - 1 6 y = х - 2

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

Q: 6 du Consider dx. Transforming the integrand, the result will be where k is a constant. What is u an...

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Q: Complete the table by stating whether the equation is ordinary, partial and linear and non-linear. A...

A: The given differential equation is;. t2s"+ts'=4-3sint.

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region above the x-...

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Q: Evaluate lim (r+ 2) cot(²+5x+ 6). 2+-2+

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Q: Use substitution to evaluate the integral in terms of f (x), assuming f (x) is never zero and f' (x)...

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Q: cylindrical can is to have volume 1500 cubic centimeters. Determine the radius and the height which ...

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Q: Use the formula for the binomial series: (1+x)" = 1+ mx + + ... 21 = 1+ Ein if al < I 1 to obtain th...

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Q: Find the centroid along the y-axis of the plane area bounded by the equation y^2=4x, x=1 and the x-a...

A: Given curve is y2=4x ,x=1

Q: 1 and b, = n2 Let a, = A- 2 Calculate the following limit. an lim bn (Give an exacanswer. Use symbol...

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Q: 5. Find the area of the region enclosed by one loop of the curve: r= 4cos(3Ø)

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Q: a tivb where a, b and c are integers and Solve the following equation, glving the complex roots in t...

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Q: uestion 9 x2 dx. Which of the following options is correct? 00 onsider 9+x6 (A Arctan 3 + lim Arctan...

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Q: /4x+ – 12x² +7 xdx . Evaluate the integral A) -(4x4 – 12r²+7)/2 +c 24 © ! (21--3)/- 121+7 – 2 m 21--...

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Q: Question 13 Consider the integral dx. Using u-substitution, what is the appropriate u and du? 2e 3e2...

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Q: cot (2x) -dx. Evaluate the integral V cot2 (2x)- 15 csc (2x) CSC A --Arcsec 8 +C 4

A: I=∫ cot(2x)cot2(2x)-15I =-∫ -cot(2x)csc(2x)csc(2x)csc2(2x)-1-15 dxcsc(2x)=u-2 cot(2x)csc(2x) dx = du...

Q: 15. Scott Fallstrom once Epoke with his kids on the first day of the month of April about allowances...

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Q: Transform the General Form to standard form x² + y? + 6x - 8y + 13 = 0 %3D

A: topic- equation of circle

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

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Q: Use the difference a -a, to show that the given sequence (a,] is strictly increasing or strictly dec...

A: The given sequence is; {an} = n/(3n-2).

Q: 2. What is the impact propensity? Explain what this means in words. 3. What is the long run multipli...

A: Answer is in step 2.

Q: nt) Detemine coefficients a and b such that p(x) x + ax +b satisfies p(1) = 0 and p(1) = -4. %3D %3D...

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Q: The radius of a right circular cone is increasing at the rate of 6 cm/sec while its altitude is decr...

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Q: d) If the coefficients are rounded off of 0.31x + 2.73 find the absolute and relative in y x + 0,35 ...

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Q: Use sigma notation to write the Taylor series about z = 1, for the function. 3 In z; z9 = 1 k =

A: The given function is 3ln(x);x0=1.

Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b |(x-9)²-4...

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Q: Tauluole bnn vle Question 1: Find 2Ã – 3B, |2Ã – 3|, JÃ\, \B|, 2|Ã| – 3||\, where Á = and B = %3D

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Q: f(x) = x - 5x^1/5   A) Find all critical values of f  Critical values = ____  B) Use interval no...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: Consider the following sequence: +00 4" {a,} = an+1 to show that the given sequence {a,} is strictly...

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Q: sing u-substitution, the integral Jf(x)dx reduces to a new integral J glu) du. If g(u) = , evaluate ...

A: Topic:- application of integration

Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

Q: Given the following power series, find the radius of convergence. HINT: Determine if you want to use...

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Q: nd the value of o(1999), p(101), p(243), 9(1998).

A: Phi function

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: Given

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: x²dx S. 1. 4 – : - x²

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Q: Watch the video on partial fractions with a repeated irreducible quadratic factor e and thevideo on ...

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Q: Use the difference a41 - a, to show that the given sequence (a,] is strictly increasing or strictly ...

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Q: A. Evaluate the following integrals 1. 2. L. 3. , e*dx dx dx -1 x2/3 4. SE tanodo -4 dx

A: solution:-Q.(4) ∫-∞π2tanθdθsolving the improper integral=limt→-∞∫tπ2tanθdθ=limt→-∞∫tπ2sinθcosθdθ=lim...

Q: By using the definition of the derivative, find the equation of the tangent line to the graph of fix...

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