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Q: Suppose Bilbo Baggins is deciding on whether to buy a sword or a bag of golden cups. If he has a uti...

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Q: 12x2-5x+7 6. lim x→+0 V9x²-7x+13

A: This is a limit problem of the function. First of all we will reduce the function into most simplifi...

Q: 2 2 Calculate the length of the astroid of x +y = 5. s =

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Q: B01OW is a graph of VCF) , me VOlOGIry Of an Obicot ovor timċ. OCScrioc me acceicrarion oe th& obj G...

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Q: У(4х + у)dx — 2(x2 — у)dy %3D0 - -

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Q: Let f be continuous and have an inverse. Write F as the antiderivative of f, i.e., F(x) S ƒ (x)dx. U...

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Q: D. Evaluate et-2 tan vE 2t + 3 S 't² – 2t + 1 e2t

A: To evaluate: ∫et-2e2t, tan tt, 2t+3t2-2t+1dt=∫et-2e2tdt, ∫tan tt dt, ∫ 2t+3t2-2t+1 dt+A,B,C

Q: Pictured are a contour map of fand a curve with equation g(x,y) = 8. Estimate the maximum and minimu...

A: Given And gx, y=8

Q: In (sin2x) sin2xdx Evaluate; sin³x -+C 3 A sin?x +C 2 B В sin4x - +C 4 sin4x D -+C E None

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Q: x2 arctan x dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: 2 -a - 12a? + 70x – 60. Find all local extreme values of f(x) at The FIRST local extreme value, movi...

A: Given :- f(x) =(2x3/3) -12x2+70x-60 find:- All local extreme values of f(x)   

Q: 3. Construct an angle of 65° from two straight lines and bisect the angle.

A: Construct an angle of 65 measure at O using protractor

Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: For sets A and B, define A+ B = {a +b: a € A, b e B}. (a) Prove that if A and B are open, then A+ B ...

A: Let X be the topological space and A,B⊆X where A and B are compact Let {Xα}α∈I be and open cover of ...

Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then do u-sub) ...

A: The integral is given by I = ∫-∞015x-12dx Formula Used: ∫u-ndu = u-n+1-n+1+C To evaluate: The value ...

Q: Given that f(x) = 9x + x³ + 6, find the derivative of f- by using dy the formula dx 1 Check your res...

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Q: dy Find dx if y = « (log2(x* – 4x)) - dy dx

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Q: -5 -4 -3 -2 -1 2 3 4 5 -1 -3 17x the above rational function f( x ) = identify its three infle 1.5x2...

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Q: | (x + cos? x) dæ + | (2 – sin? 2)dæ =? - 0, 3

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Q: Question 2: Differentiate the functions by using product or quotiem a) f(x) = (2 – 3x²) · e* %3D Зx+...

A: f(x)=(2-3x2)*ex=ddx(2-3x2)*exWe know that (uv)'=u'v+v'u=ddx(2-3x2)*ex+(2-3x2)*ddx(ex)=(0-3*2x)ex+(2-...

Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: It is given that (e7z 12) = 7e*12. Then, by the Fundamental Theorem of Calculus, we have 7x+2 dr 7e+...

A: Let's find. 

Q: Q3. Find out values of a, b, c for which curl of vector V is zero, where V = (2xy+ 3 yz) i +(x² + ax...

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Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges...

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Q: Determine the limit of the following 1.3) lim x--> 0 ( 1/x (1/3 - 1 / sqrt x + 9)) 1.4) lim --...

A: limx→01x13-1x+9  

Q: Express the area bounded by the graph of g(x) and thex-axis as an integral on the interval (-00, 00)...

A: We need to express the area bounded by the graph of gx and the x-axis as an integral on the interval...

Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: en k=1

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Q: Evaluate: A 4e“+C B +C +C D 4 +C (E) None

A: option D integration

Q: Let m and n be positive integers and a+ 0. Using partial integrals, show that 1 x"ea# dx = -x"eª* n ...

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Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x= a is called...

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Q: Evaluate dw using the given information. 5x? + 4y? w = -; x= - 5, y= 3, z = 1, dx= 0.01, dy = - 0.08...

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Q: ex Evaluate 1 + e A arc sin e^x + C B arc tan e^x+c arc cot e^x +c

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Q: zV1 - (a – 1)}'da = a;+ :) a+b? What is

A: Given,             ∫12x1-x-12dx=a1b+πcTo find : What is a+bc.

Q: Given the differential equation y" - 4y' = 0

A: given differential equation is -  y"-4y' =0   

Q: 1 7. lim 3x8 (x5+ (2х-3)3 х-+00

A: To evaluate the given limit. limx→+∞1x5+2x-333-3x8    

Q: At an exhibition, the probability of visitors on the first day is 3/5. The ticket price for a visito...

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then factor the...

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Q: Question I L0, Write the following Integral as a limit 3. b Determime whe ther the following integra...

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Q: Let f(x) = 6x + 13 – 15e". Then the equation of the tangent line to the graph of f(x) at the point (...

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Q: Use sigma notation to write the Maclaurin's series for the function f(x) : = x cOsx. Show complete s...

A: Question: Use Signa notation to write the Maclaurin series for the function f(x)=xcosx. Show complet...

Q: Eind equatons of the following x²-2y²+2²+ yz =20, [4,6-3) W the tangent plane 6 the normal line to t...

A: Solution: f(x)=x2-2y2+z2+yz-20

Q: To determine To find: The value of lim ( - →5 12-41-5 6(1-5)

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Q: 1 lim x5+(2x-3)³ 3x8

A: Given limit is not on any indeterminate form. So, put x tends to infinity directly.

Q: Give an example of a geometric series whose sum is T (recall that geometric serie begin with = = 0).

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: In a town of 100 residents, 85 of the residents speak Tagalog, 40 speak Chavacano, and 20 speak lloc...

A: As per our guidelines we are allowed to solve only first three subparts. kindly repost others. Given...

Q: Use L'Hospital's rule to determine the following limits: 3sin5x i. limx¬o 6x i. lim- log2 x log3 x '...

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Q: (a) D = (x + z)a, (b) E = (y² – x³)a, + xyza, + (x² – z?)a.

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Q: 1. (a) Find the first four nonzero terms of the Taylor Series for the given function centered at a +...

A: i) f(x)=ex , a=ln 4ii) fx=ln x, a=3