a power series. Use the 2n +1 Integrate the function as 00 E(- 1)". Maclaurin series sin x= (2n +1)! n=0 sin 5x

Q: Find the point (x,y), at which the graph of y = 8x + 9x - 7 has a horizontal tangent. The function y...

A: Given that: y=8x2+9x-7

Q: Evaluate the integral. Show all your work. 3 sin? xcos' xdx

A: Given that: ∫sin2x.cos3xdx

Q: Find the Taylor series generated by f at x = a. f(x) = 8*, a = 3 Choose the correct answer below. 00...

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Q: Evaluate the indefinite integral. x13 sin(x7)dx

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Q: If f(x) = 5 sin () , then f'(x) =

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Q: Use the four-step process to find f'(x) and then find f'(3), f'(4), and f'(6). f(x) = 14 x+8 f'(x) =...

A: Given :f(x)=14x+8

Q: When x is less than or equal to 2, what equation is shown in the graph? a. f(x) = | x - 1 | b. f(x)...

A: Given question:- When x is less than or equal to 2, what equation is shown in the graph.

Q: The ideal gas law PV = nRT gives a relationship between the pressure P in pascals (you can read abou...

A: Given: The ideal gas lawPV = nRTP : pressure                           variableV : Volume           ...

Q: Question Select your answer. 3, Given f(x) : if I< -2 if – 2<a < 8 , estimate -2 I +3, if lim f(x). ...

A: Topic =Limits

Q: The triangle needs to be solved. Round to nearest ten

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Q: For the linear function y = f(x) = 3x + 10: df at I dr a. Find -7. f'(-7) = b. Find a formula for I ...

A: For (a), dfdx=f'(x)=-3x+10' =-3 So, f'(-7)=-3. For (b), We need to find a formula for x = f-1(y). y=...

Q: dx x² Vx² +9

A: Given that a integration of 1/(x2√x2+9). We know that Integration power rule is given  as - integrat...

Q: cos x dr 4 sin x

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Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: Perform the following operation with the vectors а3(2. о, з>. ь-(з. 1, 2) %D |2a– 3b|

A: Given that: a=&lt;2, 0, 3&gt; and b=&lt;3, 1, 2&gt;

Q: 4. y=ysin 2xcos 5x + 3

A: Find your answer below 

Q: all subsequences of a sequence converge, then the sequence itself converges. true or false

A: Topic:- algebra   

Q: Find the volume of the solid obtained by rotating the region below the graph of y = e-2x about the x...

A: Given problem:- Find the volume of the solid obtained by rotating the region below the graph of y = ...

Q: 3y" – 6y' + 6y = eª sec x (variation of parameters)

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Q: Find A) The x values of all points where the function over the given interval has any relative extre...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,        ∫1∞dxx+13

Q: Find the series' radius and interval of convergence. Find the values of x for which the series conve...

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Q: 14) Find the eccentricity, identify the conic, sketch the conic, labeling the vertices, foci, direct...

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Q: • What restriction (on x or y) does dy have? What dx point (x, y) does this correspond to? • Find th...

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Q: The count of a bacteria in a culture was 5 initially and doubles every 30 minutes. Find the size of ...

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Q: Evaluate the improper integral. 9. 3x²e* dx (Express numbers in exact form. Use symbolic notation an...

A:     ∫-∞9 3x2ex=3·∫-∞9 x2exdx=3x2ex-∫ 2xexdx-∞9=3x2ex-2exx-ex-∞9=195e9

Q: Determine whether the series converges, and if so find its sum. 00 1k+2

A: Given that: ∑k=1∞4k+27k-1

Q: Let g(x) = x². Which of the following outputs of g is not guaranteed by the Intermediate Value Theor...

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Q: 8. Calculate the unit rate. Over the weekend, Mr. Quinn burned some CDs with his favorite songs from...

A: Given Total song burner=275 Total number of CDs is used=25

Q: Write the first five terms of the sequence: {Vn²+n – n}1 n=1 Determine whether the sequence converge...

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Q: 6) Find a power series representation for ; find the radius of conver- gence for your series. 1-a

A: Given that: 1+x1-x

Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

Q: 00 Does the series E (- 1)"n4 converge absolutely, converge conditionally, or diverge? n = 1 Choose ...

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Q: Find the indefinite integral in each of the following. Show all necessary solutions. 3. sin ? x cos'...

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Q: Given the function: f(x,y) = x cos (xy) – x²e*Y - Find fa(x, y) а. b. fy(x, y) a fzy(T, y) C.

A: As per our guideline we are supposed to answer 3 sub parts of a question please repost the other que...

Q: Find the second derivative of y2+2xy=x+y

A: The given function,    y2+2xy=x+y

Q: Evaluate the indefinite integral. | sec²(v#) dx

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Q: y" + 4y = 4 cos x + 3 sin x – 8

A: For particular integral of cos ax or sin ax we put       -a^2 in place of D^2 in F(D)

Q: If an upper bound exists, then it is unique.  true or false

A: An upper boond of a set is an element which is larger or equal to all elements of set A. For example...

Q: y= 3x³etan ( – 4x)

A: Topic:-  derivatives 

Q: Suppose you're making hand-carved birdhouses to sell in an online store. The price function for how ...

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Q: 4- If the leng th of the edge of a cube IS Thcreasmg atarate of sem/s, hemtast is the volume of the ...

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Q: dz 2+2vz

A: The given integral,       ∫dz2+2z

Q: Find the most general antiderivative or indefinite integral. You may need to try a solution and then...

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Q: The local linearization, L(x) for the function f(x) = ln(x) at the point where a = 1 is given by L(x...

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Q: Express the surface area of revolution for: x = (y4/4) + 1/(8y2), 1 ≤ y ≤ 2; x@axis

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: d²f df (b) +2-+ 5f = 0, f(0) = 1, f(0)=C dr? dt

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Q: Ise substitution to find the Taylor series at x = 0 of the function 21 sin (- x). Vhat is the genera...

A: Topic:-  calculus