x-4 x→4x²-x-12 Without using L'Hopital's Rule, evalute the limit: lim- Attach File Browse Local Files Browse Content Collectic

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A: Concept: The trigonometric change: The trigonometric identities can be used to assess several…

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A: Solution: 4y2 - 25x2 =100 for an up-down facing hyperbola,the Foci(focus points) are defined as…

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A: This question can be solved using the concept of partial fraction.

Q: 8. Evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2. Ľ³…

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Q: Find the limit, if it exists. sin(4x) x Ilm

A: To find the following limit, if it exists.limx→∞ sin 4xx

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A: Topic:-  application of integration

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Q: 12. g = ²+1 - 4 2

A: The given problem is solved below in detail.

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Q: 4) Find the point(s) of inflection f(x)=(sinx)(e*)

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A: Solution: f(x)=x2-xx(x-1)

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A: Given equation is the linear equation with constant coefficients.  So first assume the solution and…

Q: Answer is wrong

A: Note: Since, the unit of the radius is not given, we have assumed that the unit of the radius of the…

Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

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Q: ) Consider the function h(r) What are the inflection points of h(r)? On what x 5 intervals is h(r)…

A: We will find the required.

Q: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular a. 1 unit b. 2…

A: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular. We have, A= 2i…

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A: required graph of the given equation is

Q: Graph the equation r2=81 sin (20). Use a graphing utility to check your work and produce a final…

A: Solution: Using the formula r2 = a2 sin(2θ), where a≠0 graph the lemniscater2=81sin(2θ)

Q: Consider the function f(x) = 4-4x² on the interval [-5, 6]. (A) Find the average or mean slope of…

A: The given problem is solved below in detail.

Q: Consider the region in the fourth quadrant between the circles x² + y² = 4 and x² + y² = 25 and…

A: answer is in next step. please give a like !!

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Q: Evaluate the triple integral: 元 SS1² S² π/2 O 0 12p sin p cos 0 dp do do

A: The answer is given below:

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Q: Find the slope of the tangent line to the curve 3 - 2x² + xy + y² I at the point (4, 1). - 27

A: This question is related to slope of line, we will solve it using given information.

Q: jw F(W). jwF(W) = jw F(W) = - A -[2-acos (WT)] Tjw -2A (1 - cas (NT)) трия -2A (asin" (WI)) TJw (( a…

A: To find how we reach at the final step.

Q: π Consider T3 (x), the 3rd degree Taylor polynomial of f(x) = cos(x) centered at a = 4 Use the…

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Q: Given that lim f(x) = 0, lim g(x) = 0, lim h(x) = 1, lim p(x) = ∞, lim q(x) p1a z-G z-a 2-a z-a f(x)…

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Q: In which limits below can we use L'Hospital's Rule? lim 818 Olim 848 Olim 48 Olim €8 et X In x e X H…

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Q: Consider the function f(x) = 7 - 2x² on the interval [-2, 6]. Find the average or mean slope of the…

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Q: If the region occupied by a lamina is symmetric with respect to both the x- and y-axes, then the…

A: Solution: Consider the mass of the lamina ∫∫R ρ(x,y)dA

Q: If S(t) represent the distance of an object moving along a straight line at time t. Which one of the…

A: If st represent the distance of an object moving along a straight line at time t.