The derivative of the function y = cos(x ln 3)log3 (sin x) is:

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 RX) = È (-1...

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Q: Use the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly...

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Q: Find the equation of tangent line to graph at f at the given point.

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Q: 9. . cos xsin?x dx. 2 ,5 10. 2 sin°x dx 0,

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Q: dy ay +b who dt Write down a differential equation of the form solutions all approach y 3 as t → 4 3...

A: We will find the Differential equation. 

Q: df Q4) A) Find dx by using chain rule if f = , u=-1 , x=-1 u+1 B) Evaluate the following integral: S...

A: A) To find the derivative of the given function f=u-1u+12 with u=1x2-1

Q: x³ – 2x? – 4 dx x³ – 2x? 6. 13 -

A: As per Bartleby guideline,  we have answered only the 1st question, mentioned by you. Please repost ...

Q: By completing the square, dx tegral J_2 x2+4x+5 is equal to=

A: ∫-2-11x2+4x+5dx

Q: Q3) A) Graph the two equations and find the points in which graphs intersect x+y = 0, y= -(x- 1) TA ...

A: A) The graph is shown below:

Q: Evaluate the following integral: J Sec?x -dx V1-tan2X

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Q: Solve the given diffe rential equation by using an appropki ate subrh tution The DE is a bernoulli e...

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Q: Determine whether the series converges. Ve k=1

A: To determine: Whether the series converges or not. Given information: The series is ∑k=1∞1ek Concept...

Q: Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) Su...

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Q: sec ec-'(2y cos r) = x"

A: This is a problem of derivative of the given function. By using general formula of derivation we wil...

Q: Consider the series E ne-n? n=1 If we let f (x) = xe = re-r2 then S f(x) dx %3D O is finite. O is no...

A: The given series,     ∑n=1∞n e-n2

Q: (-1)"3na" n -5 V. Determine the interval of convergence of

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Q: Find an equation of the plane containing the points A = (1,0,2), B= (– 1,1,2),C=(5,0,3).

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Q: 1. An inverted conical tank with 14 m height and 6 m radius at the top is full of water. Calculate t...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: 9y+14 dy 3. Jy-2)(y²++4) (y-2)(y²+4)

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Q: Question * Using integration by parts and taking a > 0, the integral S, x In(ax)dx is equal to:

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Q: Using appropriate substitution, the integral S ex3 dx is equal to: X4

A: Indefinite integral

Q: Consider the integral dx . Using u-substitution, what is an appropriate u and du? 2e -2x A u=/3 e2*....

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Q: Consider the relationship 7r+4t=21.   a. Write the relationship as a function r=f(t).   Enter th...

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: Question 15 Find the distance from S= (1,1,5) to the line L: x=1-t, y=2-1, z=31.

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Q: Sec+x Evaluate the following integral: J1-tan²x dx

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Q: Fill in the table with the correct information by referring to the function f below. The table conta...

A: We will check at each point of interval to determine the continuity or discontinuity.

Q: 2х — 4 f(x) = n = 4 x + 1 P4(x) = Need Help? Read It

A: We will find the mclaurian polynomial. 

Q: -dz :+ 5: + 6 2

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Q: Answer and give a brief (1-2 sentence) explanation for each of the following questions. (a) Suppose ...

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Q: Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4], then find the area of...

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Q: c) an (-1)" (4)" d) аn — 5 — п

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Q: Q3) A) Graph the two equations and find the points in which graphs intersect x + y = 0, y= -(x – 1)?...

A: Given two equations, x+y=0 y= -(x-1)²

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. -...

A: ln(a/b) = lna - lnb

Q: The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is increasing a...

A: This question can be solved using rate of change of physical quantities.

Q: Integrate S (a?- ) dv ; where " a" is constant O = - + C 3 =-{ (a? – v²)* + (a? – v²)* + C O = (2? –...

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Q: 3xy Consider L- lim 3)-(0.0) a- Find the limits along the paths x=my. (Hint Find your answer in term...

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Q: 2.(Subtle) Suppose p(x) is continuous on some interval I and a is a number in I. What can be said ab...

A: The given equation is: y'+p(x)y=0 which is the linear homogeneous differential equation. That has th...

Q: Write the first five terms of the sequence, give the exact answer: +oo n+23 n=1 Determine whether th...

A: To write the first five terms of the sequence and to give the exact answer.nn+23n=1+∞To determine wh...

Q: Express the given quantity in terms of sin x and cos x. Sin (2n – x)

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Q: Given the differential equations functions f(x) and g(x), and their derivatives in the table below, ...

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: Question : Find the general term of the sequence starting with n=1 . Determine whether the sequence ...

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

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Q: Using u-substitution, the integral Jf(x)dx reduces to a new integral J glu) du. If g(u) = u+1 , eval...

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Q: S5e* dx 12 dx 2 x+5 S(2-3e*) dx

A: ∫ 5exdx

Q: Question 3 Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, a...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about %3D x = xo and then find the nth T...

A: Taylor polynomial

Q: 3 - 2x? +x- 2 Use L'Hopital's Rule to evaluate Support your answer graphically. lim X2 x² +x-6

A: To find: The limit by L'Hopital rule. Given information limx→2x3-2x2+x-2x2+x-6

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 7 Pa(x) =

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