For what Values Of X IS tne wing geommetric series convergent? 1++ 27 1) x>0 2) -1

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Q: x(x* –1) dx x' +1

A: This integral is of expression a2 + x2 . 

Q: the given expression : x^2 - 4x + 6 is equal to. SUBMIT YOUR SOLUTION none of the choices (2x - 2)^2...

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Q: Find the limit: limt t→0⟨(e^5t)−1/t,t^11/(t^12−t^11),−7/8+t⟩ ⟨  ,  ,  ⟩

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Q: Evaluate ∫100(ti+(t^2)j+(t^3)k)dt=  i+  j+  k.

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Q: Use algebra to simplify the expression before evaluating the limit. In particular, factor the highes...

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Q: Find the point on the graph of f (x) = (3x + 9)/x + 9x (x > 0) at which the tangent line is horizont...

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Q: (+e*)dx e* -In () 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: 0.4 ソミーxe* -1 -0.5 1.5 -0.2 -0.4 2.

A: During calculation of integral,  Substitute x^2 = t

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Q: 22. n/2 sec (t/2) dt 24. | (tan?x + tan*x) dx

A: using the properties of integral we find the given integral 

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Q: 2. Let R be the region bounded by y = 4x – 2x²,y = x. Provide an accurațe graph of the functions abo...

A: Given query is to find the draw the graph and then find intersection points and area of the region b...

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Q: (x-y)dx+(x-y+2)dy=0,Solve For Homogeneous DE

A: Given differential equation is (x-y)dx+(x-y+2)dy=0 Solve homogeneous DE

Q: QUESTION 3 Find dy/dx if sin(2x) + e = 2xy+ In(2y) by using implicit differentiation.

A: Use implicit differentiation

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).

A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0  

Q: Find the general solution of * yV - 2y" + 10y" = 0

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please r...

Q: de (x-3)Vx2-6x+5 arcsec + C; and 0.0008 none of the choices arcsec + C; and 0.0174 arcsec + C; and o...

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Q: Find the 8th term of the arithmetic sequence -4, -9, –14, ... Answer:

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Q: 2. Complete the following tables of values f(x) -1 -0.8 -0.35 -0.1 -0.09 -0.0003 -0.000001

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Q: Find the solution of the differential equation ху V - ) (x+ y² + 1)dx - (y dy = 0 %3D Vy2+1,

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Q: what relationship should be present between two vectors for the law of cosines and sines to be used ...

A: a) for cosine law, the two vectors should have an angle between them. We should know any three eleme...

Q: y = x, y = 3x; about the y-axis

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Q: Evaluate dy/dx at x = 2.5, correct to 3 significant figures, given y= (2x^2+3)/In 2x

A: Given ;

Q: Find the point on the graph of f (x) = (3x + 9)/x + 2# (x > 0) at which the tangent line is horizont...

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Q: 5. A 400 gallon tank initially contains 100 gallons of fluid in which 50 pounds of salt is dissolved...

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Q: 6. On the corresponding grids, draw any curve that satisfies the given conditions. A function where ...

A: Solution is given below:

Q: Find the domain and range 1 - y= Vx2 – 4 2 - y = Vx2 + 4x + 2

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Q: Question 2 In the expression /In²sinx -dx, the integrand is tanx Insinx A tanx B -Insin'x + C In sin...

A: Given:- ∫ln2sinxtanxdx To Find:- Integrand from given expression

Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + cze3x (2) by eliminati...

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Q: Write the trigonometric expression as an algebraic expression in u. cot ( cos 'u) cot (cos 'u) = (Ty...

A: Inverse function

Q: (h = 0.1) (h = 0.05) У(1.2) ~ У(1.2) ~

A: FOLOOW THE PROCEDURE GIVEN BELOW.

Q: 5* dx 1+5*

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: Given that f(4) = -8 and f'(4) = –6 , find an equation for the tangent line to the graph of y = f(x)...

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Q: . Use the appropriate limit laws and theorems to determine the limit of the sequence. an=(3+8/n^4)^1...

A: We will evaluate all above as shown below

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Q: kf (x) dx =k ] f(x)dx Jas(a))dx=f (x) +C D

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Q: 2x+5 교-4x+6

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Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: (You can click on the graph to enlarge the image.) (a) Which one is bigger, f(3) or f(5)? O A. f(3) ...

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Q: a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an is...

A: Each part of the problem is solved below in detail.

Q: Find the area of the shaded region. y x = y -8 -6 -4 -2 4 Hy=-1 2.

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Q: / (3cosh m 2 cosh m sinh mdm +e°

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Q: Let f (x, y) = Vy – 2x Evaluate f(3, 10)

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Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2= (a+b)(a...

Q: Find the domain of the vector function r(t)=⟨ln⁡(19t),sqrt(t+8),1/sqrt(7−t)⟩ using interval notatio...

A: Given vector function isrt=ln19t,t+8,17-tfind the domain.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Given: ysin16x=xcos2y Equation of a tangent at point a,b with slope m is defined as  y-b=mx-a

Q: Evaluate the following functions using the given relations. f(1)= 4 ; f(2) =-1 ; f(3) =-3 Relation: ...

A: Since you have posted multiple question as per guidelines we can solve only one question at a time s...