Use l'Hôpital's Rule to find the limit. lim X-0 2 8x² cos (x) - 1 8x² 2 Xcos (x)-1 (Type an exact answer)

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A: If a company spends r million dollars on research, it sales will be s million dollars, where r and s…

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A: A sequence an is said to be monotone if it is either increasing (i.e., an≤an+1) or decreasing (i.e.,…

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Q: Determine the limit by sketching an appropriate graph. [x² +3 10 forx #-1 for x = -1 6) lim f(x),…

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Q: -1 tan¹ n n

A: NOTE: Refresh your page if you can't see any equations. . find the limit of the sequence

Q: แบบฝึกหัดที่ 1 สูตร m=slope = f'(x₁) - lim m=slope = f'(x) - lim สมการเส้นตรง y = mx+c 15 HO X x-2 3…

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…

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A: Given query is to find average value of the function.

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Q: 1 Evaluate lim』→-25 22-4 0-0 ㅇㅇ 이를

A: The expression of the limit is limx→-2+1x2-4 To evaluate: The value of the limit.

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Q: (2x+3) y'= y + (2x+33 when x = -1, y = 0 11/2

A: Topic = Differential Equation

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Q: 6) 18a3bc4 3,6 A 63 2 (3 2. 20303aaq bi ٢٢ وطاط محافظ کا 120303 ط bbs

A: Given; Sqrt(18a3b6c4)

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A: Gven sequences:- a)n3n4+1 b)3n3-12n3+1

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A: The given function is f(x)=4-x.

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Q: If x = f(0) cos(e) and y=f(8) sin(8) then the dy derivative with polar coordinates, where dx f(0) =…

A: Topic = Derivative

Q: Order One Differential Equations Solve the ff. DE Equations 1 3. (2x+3)y' = y + (2x + 3)² When x=…

A: As per our guideline we can solve maximum one question you can repost other one

Q: The graph of a function is given. Draw the graph of its derivative. 13) + -15 -10 + -5 15- 10+ 5+…

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Q: A hot air balloon lifts off from ground rising vertically. From 100 feet away, a 5' woman tracks the…

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A: We have to find the indefinite integral ∫13 arctan x dx.   Integration by part: ∫u·v dx = u·∫v dx -…

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A: Here we have to determine whether the improper integral diverges or converges. I=∫0∞1e2x+e-2xdx

Q: Oct 23, 9:35:15 PM A particle moves along the x-axis so that at time t 0 its position is given by…

A: Given query is to find interval where speed is decreasing.

Q: co|= 5 Thus fff(x, y)dA = [' [ А 0 drdo

A: To determine the double integral shown below.∬fx, y dA=∫0π3∫15? dr dθAlso, to evaluate the above…

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A: As we know that ddx(fg)=f'g+fg'  for two function f and g of x.see below the calculation and answer

Q: 2. Find the general solution to the following DE, showing working dy dz = 3√ry.

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Q: Determine the intervals on which the given function is concave up or down and find the points of…

A: Topic - Inflection points and concavity  of a function We are given, f(x) = (x^2−3)e^x we know that…

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A: Sketch the plane curve

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Q: For each of the following integrals, does the Fundamental Theorem of Calculus (FTC) Part 1 apply…

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Q: Evaluate the definite integral. 7 1 √₁² 36 + (x + 5)² dx

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Q: The Cartesian coordinates of a point are given. (a) (-2,2) (1) Find polar coordinates (r, 0) of the…

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Q: = Find a and b so that f(x) is continuous if f (x) = O O a = ¹/2 b 11 a = EE O a= b = 60 7 a = - 96…

A: A function if said to be continuous if its graph has no break on its domain of definition.