Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = 1 x intercepts at x = -3 and x = 5 %3D %3D Horizontal asymptote at y = 6 y =

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A: Take the derivative with respect to x using chain rule of derivative.

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A: The correct answer for above question is

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Q: A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with a liquid of weight…

A: Note that the work done here can be given by: W=∫abρπr2h where ρ is the density, r is the radius and…

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Q: Find the directional derivative of the function f(z, y) = In(z° + y*) at the point (3, – 1) in the…

A: We can solve this as follows:

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Q: Determine whether each of these functions are invertible. If it is, find its inverse. ax-5 a. f:R→ R…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 11. Find the difference quotient. f(x) = 5 – 2x %3D f(a+h)- f(a) h

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Q: X+0.4Inx 04. lim,+ X+ 3lnx

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Q: Determine the series converges, if so, Find its cum. whe ther 1 a. (k+2) (K + 3) k = 1

A: The given series,     ∑k=1∞1k+2k+3

Q: 1-Find the area of the region R under y=x? + 3x +2 Between x=-1 and x=2 2-the region bounded by y=.…

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Q: A Evaluate the following integrals. 1. fx² In x dx 2. S tan-ix dx

A: Let I=∫ x2lnxdxApply integration by part,I=ln(x)∫x2dx-∫ddx(ln(x)∫x2dxdxApply power rule…

Q: Determine the interval of convergence of the power series: , n!(4x - 28)" A. A single point x = 28…

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Q: e*(1-e*) (1+ x)[ In(1–x)] 12. lim, 0 'x0

A: Recall: If we have 00 form then we apply L'Hospital Rule.i.e, limx→a f(x)g(x)  = limx→a f'(x)g'(x)

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Q: Find the differential dy of the glven function. (Use "dx" for dx.) 7 y = 3Vx + dy =

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Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n- lim Submit Answer

A: To find the value of: limn→∞∑  i=1n3+in2n=limn→∞2n∑  i=1n3+in=limn→∞2n3∑  i=1n1+1n∑  i=1ni...(2)

Q: x* dy

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Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: 2. xy -(xy? cot Cans ☆ +y?)

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Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: This question can be solved using the concept of graphs and derivatives.

Q: Find the linearization L(x) of the function at a.

A: Use the derivative for finding the linearization of function

Q: Detemine o number of derms n in.cacn Orithimetic Series an=166 Sn=1440 =26 A.n=23 B.n=15 D:nニ192

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Q: A sample of 250 grams of radioactive substance decays according to the function A(t) = 250 e 035t…

A: This question is based on substitution.

Q: Inx 1 13. lim,

A: We will find the limit.

Q: Name: Tu3pg07 Exponential Transformations Practice: For each exponential function list the yalues of…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

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Q: 1 3c+6+2 J +3z+2 Evaluate:

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Q: the product z1 z2 in polar form? Z1 = 3 cis z2 = 4 cis - cis (금) cis () 7x 2 cis ()

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Q: Circle

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Q: Find the one-slided limit (If it exists). (If the limit does not exist, enter DNE.) -6 lim x-4 (x-…

A: Given limx→4- -6(x-4)2 Apply the constant multiple rule limx→4- c f(x) = c limx→4-f(x) with c=-6…

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Q: In da V3+(In a) Evaluate: A. V5 - V2 B. V1+ e2 - 1+e C. V3+ ve D. V7– 2 E. NO correct choices.

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Q: 7. SYVY² +9dy 5-2 8. S (5-1)(s-5)(s+3) ds

A: We have to evaluate the given integrals.

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Q: find p, when it converges

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Q: Evaluate: x tan x dx 3 A. – In /2 – 4 32 B. -1- 4 32 V3m _ In 2 – 5 3 18 D. NO correct choices. C.

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Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: Suppose that f(x, y) 2æ + 4y on the domain D = {(x, y) |1< x < 2, x² < y < 4}. D Then the double…

A: Given problem:-

Q: Evaluate the following indefinite integral. dt t In(t) Note: Don't forget your C! And be sure to use…

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Q: Write an equation for the ellipse. minor axis from (- 8, – 2) to (2, – 2); major axis from (- 3, -…

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