15. a, = (-1)" 3n-

Q: e3x (1 – 2e3x)2

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Q: — 4т + 10у — 6 2 — 5у — 3

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Q: Determine whether the alternating series converges. 00 5ln k k k=3 O The series diverges. O The seri...

A: On solving this series we will get

Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000. ...

A: We have t find the number of units that needs to be produced for making the marginal revenue zero.

Q: Of inter SECtion 'of thie plánes 2x+y-32=14 delete 2. Find the canation of Hhe plane Containing the ...

A:

Q: • Evaluate the following: 1) S (5 cos x - 4 sin x ) dx cos x 2) S dx sin? x 3) S (4 csc x cot x + 3 ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

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

A: Given: So, here an=1317n-1. Now,                limx→∞ 1317x-1=13·limx→∞ 117x-1=13·limx→∞ 1limx→∞ 1...

Q: The following bar graph shows U.S. math SAT scores as a function of household income.† A bar graph ...

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Q: A house sells for $81528 at the end of 2010 and for $161637 at the end of 2017.   If the market val...

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Q: If f(x,y) = e* cos y then fyy (0,) is fyy (0) is

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Q: 18. Differentiate y with respect to x using A-method. a) y = x³ + 2x? - x+ 5 b) y = ax*, where a is ...

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Q: Given Cost and Price (demand) functions C(q) = 100q + 40000 and p(g) = - 2.6q + 800, what is the mar...

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Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Here, elementary work is: dw=(2.5y+10)dy

Q: Given soel end price cdemand) functions Cq) 120g 40,200 and p(q) = -2.1q + 890, what is the marginal...

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Q: Find the critical points c that correspond to local minima. (Use symbolic notation and fractions whe...

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Q: (-금x+ 2, x 0 exist? If yes, give its value. If not, why?

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Q: Factor the difference an+1 a, to show that the given sequence {an} is strictly increasing or strictl...

A: an+1= (n+1)/(16(n+1) +9)        = (n+1)/(16n + 25) an  = n/(16n+9) an+1 - an =(n+1)/(16n + 25) - n/(...

Q: Draw the Rollowin functions ゴ= 4メ-1

A: We have to draw y2=4x-1

Q: about the y-axis

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Q: y2)dx = xdy when X2 ; Y- 3

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Q: x In(x) dx, where x >0

A: Given query is to eveluate the integral.

Q: Solve the problem. Evaluate at (u,v) = (4, 1) for the function w(x, y) = xy - y 2; x = u - v, y = uv...

A: We will find the partial derivative. 

Q: Find the limit of the function along the path y = 2x X-1 lim (x.y)-(0,0) y -1

A: We have to find the limit of the function along the path

Q: 8. Sketch the graph of the following piecewise-defined functions. (-2, if x 0 St² +4, if t -4 a) f(...

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Q: 16 d.x x² Va2 + 49 Evaluate the integral: (A) Which trig substitution is correct for this integral? ...

A:

Q: 5. Prove that lim Show your t→-2 t+2 complete solution.

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Q: Let us try to find where a function is increasing or decreasing given the following.  f(x) = x3−4x,...

A: Topic:- calculus

Q: Consider the integral x²1 – 6x14 + 8x7 – 26 dx (x³ – 4x² + 3x)° (x+ – 81)² Enter a T or an F in each...

A:

Q: du If u = x²y + y²z + z?x then at (1,1,0) is ax %3D -

A: Given that u=x2y+y2z+z2xTo find :∂u∂x  at 1,1,0Solution :u=x2y+y2z+z2x∂u∂x=2xy+0+z2∂u∂x=2xy+z2

Q: 10 -X 13 10-x = J3x 10 ニ 3.66 m

A: Topic:-  function   

Q: The form of the partial fraction decomposition of a rational function is given below. 16 – (x² + 10x...

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Q: Use the trapezoidal rule withn = 5 to approximate %3D 5 cos(x) dx Keep at least 2 decimal places acc...

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Q: Find all points (x,y) where f(x.y) has a possible relative maximum or minimum. 1(x,y) = - 2x? + 7xy ...

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Q: 23. Find the point c that satisfies the mean value theorem for integrals on the interval [1,4] for f...

A: The given function is: f(X)=2x2-7x, [1,4]

Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

A: In this question we have to solve the integration.

Q: eArctanva 5. S- dx Vx+xVx

A:

Q: Find all points (x.y) where f(x,y) has a possible relative maximum or minimum. 10x.y) = x² - 5xy + 6...

A: f(x,y)=x2-5xy+6y2+3x-9y+8consider fx=0⇒2x-5y+3=0⇒2x-5y=-3consider fy=0⇒12y-5x-9=0⇒5x-12y=-9 Solve th...

Q: п (п Let d e R. For the arithmetic series (n-1) d, verify that sn = n=1 Also, show that an arithmeti...

A: We will check the divergence of the arithmetic series. 

Q: Question 1: The lateral surface of a (right) cone is given by LA = TrVh² + r2 where h is the height ...

A:

Q: Write a chain rule formula for the following derivative. for w = f(p, q, r); p = g(t), q = h(t), r =...

A: Here, w=f(p,q,r), p=g(t), q=h(t) & r=k(t) So, 

Q: Find fxxx and fryx for f(x, y) = x*y2 – x³y.

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Q: Determine the global extreme values of the function f(r, y) = 4x³ + 4x²y + 2y², x,y > 0, x + y < 1

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Q: Evaluate the integral 1- 25 ds VT- 25 ds

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Q: If z = x sin y + y sin x a2z then дхду

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Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A: Revenue function , R (x) = x P(x) Where P is the demand function  and x is the  price per unit.

Q: Use the graph of the function to answer the following. f(x) = cos(x) on the interval [-27, 2x] 2 -27...

A: Given that f(x)= cosx and in interval [-2π,2π]. We find increasing and decreasing interval and also ...

Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? Ox =...

A:

Q: Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy

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Q: Question 15 15. The first derivative of the logarithmic function f(x)= In (e +3) is 1 A e +3 B e +3 ...

A: Topic:- application of derivatives

Q: Evaluate the following integral. 1/4 | tan?x dx 1/4 tan x dx = (Type an exact answer in terms of T.)

A: Explained below