Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

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Q: III. Let f(x) = e2 sinz 2. Find the absolute extremum values of f on the interval [

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Q: 1. Use Comparison Test to determine the converges or diverges of the series Σ: 8 n=1 (n+1)√n

A: By using Comparison Test to determine the convergence or divergence of the series ∑n=1∞ 1n+1n.

Q: 1) If y = (x-a)√2ax-x² + a² sin-¹(*), then y' = 2√/2ax - x² a a is constant. 2) If f(k)= k√a²-k² +…

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Q: II. Find the value(s) of x (or the interval of convergence) for each of the following power series.…

A: The given power series,       ∑n=0∞n! xn

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Q: Find the area bounded by the curve x = y² + 2y and the line x = 3.

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Q: Com A real estate firm estimates that the value of a certain property will be given by the function…

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Q: Suppose that $2,500 is deposited into an account paying 6.2% interest compounded continuously.…

A: $2,500 is deposited into an account paying 6.2% interest compounded continuously.

Q: II. Directions: Find the slope of the line tangent to the given curve at the indicated point 10-12.…

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Q: First the pieces: End result (in terms of just t): dt 江 西 | Use the chain rule to find where 11 z =…

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Q: EX 4: a) Determin the value of A and B for wich the vector field x4 F (X₁y₁z) = Axluze + B By ² z 5…

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Q: Find the derivative of the function. s = t In |t| ds dt 11

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Q: Which of the following expressions gives the length of the curve defined by R(t) = tij +In tk…

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Q: For which values of n is the function ya solution of the differential equation xy"-Kxy'-6y=0

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Q: Find T,N and k for the curve: 1- r(t) = (6 sin 2t)i + (6 cos2t) j+5tk.

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

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Q: Given that sin(0)= TT 3 and 2 <0<π what is the exact value of cos(20)?

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Q: 1.) +y=e+ dx=3e-t 2. .) d- given: x(0) = 0, y(0) = 1 dy-x=0 d+y=1 given a z (0) = -1, y(0) = 1.

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Q: Question 1. Sketch the following regions in the xy-plane. Make sure to shade the region and label…

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Given :Hight of a ball in t isf(t)=-16t2+374t+15

Q: X Let f(x,y) = 8 e + In (x+y). Find the following. (a) f(1,0) (b) f(2, -1) (c) f(0,e) (d) f(0, e 4)…

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Q: 1) If y = (x-a)√2ax-x² + + a is constant. x- -1(*-ª) ,then y' = 2√2ax - x² a² sin-¹ a²

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Q: Find fx(x,y,z), fy(x,y,z), f₂(x,y,z), and fyx (x,y,z) for the following. 3 f(x,y,z) = 4x³ + 2xy -…

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Q: Evaluate the limit using the L'Hopital's Rule 1 - cosh x lim x+0+ ln(x² + 1)

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Q: Find the formula for the sequence below: -5,15,-45,180,...   a an=-3(-5)n-1 b an=5(3)n-1 c…

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Q: What is the exact value of sin(67.5°)cos(22.5°)?

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Q: A Consider triangle ABC drawn in a circle of radius 6 cm with vertex C at the centre of the circle,…

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Q: 3. You are tasked with designing a cylindrical can. The material for the top and bottom of the can…

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Q: Q) choose one only 1) If y = (x − a)√2ax − x² + a² sin-¹(*), then y' = 2√/2ax-x² a a is constant. 2)…

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