Example 11: Evaluate lim x→1+ (六) In x

Q: onsider the following. y=e-x² ind y'. ind the slope m of the tangent line to the graph of y = e-x²…

A: Given query is to find the equation of the tangent line.

Q: derivative Example 6: Find the absolute extrema ● f(x) = √4x²; [-1, 2]

A: The objective of the question is determine the absolute extremal.

Q: Test the series below for convergence using the Root Test. 3n + 5 n=1 (27 2n + 4 f(n) The limit of…

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Q: Determine whether the following series converge: a. Σ∞k=1 (1/√k3)

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Q: Graph the following functions by the method outlined below: i) plot all x-intercepts and all…

A: As per bartleby guidelines we only give first question answer. Please repost for other parts.

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 2…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Let f(t) = 5t4 - 5t + 7e². Then f'(t) = Question Help: Message instruct Submit Question Jump to Answ

A: Given function:- ft=5t4-5t+7et

Q: Let ƒ(x) = ln[x°(x + 6)³(x² + 9)³]

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Q: Use differentials or a linear approximation to approximate 7.982/3. Express your answer as a…

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

A: The function is given by fx = x2-2x-8 To evaluate: the x-intercepts of the function fx and the value…

Q: Question 1: Boyle's Law States that when a sample gas is compressed at a constant temperature, the…

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Q: Find the derivative of f(x)=e−7x⋅sin

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Q: Example 4: A right triangle whose hypotenuse is √48 inches long is revolved about one of its legs to…

A: We can answer only the first question as per the rules.

Q: Question Determine the x coordinate of the inflection point for the graph of f(x) = -3x³ – 5x² – 9x…

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Q: Consider the following. y = tan(x), y = 0, x= ; about x = 2 (a) Set up an integral for the volume of…

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Q: Question Analyze the following graph of f'(x). Select all of the intervals over which the function…

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Q: lim p(v) lim 7. V→1 V→1 = Find p(1). p(1) = p(v) = 7√ 5v² + 4, = 7 lim = ²√ v→ 1 = 7. = 7 = lim v→ 1…

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Q: Let f(x) = -4 ln(6x)

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Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

A: NOTE: Since the two x-intercepts are known to you, I have done the remaining part of the problem.

Q: The table below has values of f and g and their derivatives with respect to particular x values. X x…

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Q: During 2015, a particular country's inflation rate averaged 1.2% a day. This means that on average,…

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Q: How do you derive the reduction formula for integrating sec^3xtan^2x?

A: I am attaching image so that you understand each and every step.

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.005x³ +0.07x² + 16x +…

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Q: Given that f'(x) = 4(x + 2)(x + 5), The graph of f(x) at x = 3 is [Select an answer

A: Concept let a function f(x)  and its derivative is f'(x) at x = a if f'(a) >0   ---- then at x =…

Q: Use the graph to find the solutions to this polynomial. x²-5x³-7x² +29x+30=0 4 Rewrite this as a…

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Q: Solve the system by back substitution. 4x+8y + 2z +6w= -4 -3y-18z-6w= -24 3z + 3w= 4w = 6 12 The…

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Q: Evaluate the derivative of the function. y = sec (3 In 9x) dx 11

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Q: Find the volume over the cone z = x² + y² and under the sphere x² + y² + z² = 1

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Q: Consider the following series. 9 Σ n In(n) n = 2 Does the function f(x) Yes No = 9 x In(x) 9 x In(x)…

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Q: Solve the system equation A) x+2y-z=3 2x-2y+z=6 x-4y+z=1 B) x-y+z=6 x+y+z=2 x-y-z=4 C) -x+2y-z=0…

A: A) x+2y-z=3.......(1)    2x-2y+z=6.......(2)    x-4y+z=1..........(3) summation of equation 1 and 2…

Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: Here we have to integrate the given series expansion of f term-by-term from 0 to x obtain the…

Q: 2. Given: f(x) = x³ + 2x² (x - 1)²¹ with f'(x) x³ - 3x² 4x (x - 1)³ 14x + 4 (x - 1)4* 1 and y = x +…

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Q: Determine whether the series are convergent or divergent. Show your work.

A: NOTE: Refresh your page if you can't see any equations. .

Q: -2n ²n=0 π =0π

A: To find the sum of  the following series.∑n=0∞ π-2n

Q: 1. Cost Analysis and Production: A factory's weekly production costs y and its weekly production…

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Q: (a) Find the indefinite below using the substitution x = tan(0). , (b) Evaluate the integral below.…

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Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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Q: n the graph of f(x) below, what is the open interval(s) over which f'(x) is positive? -6-5-4-3-2-1 1…

A: Given query is to find the interval where f'(x) is positive.

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. 8. x = a…

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Q: nd the gradient vector of the function f(x, y): = x² at the point (1,1).

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Q: Consider these tables of cell means. Which one shows a possible interaction, and which one does not…

A: The given table is: Table 1   B1 B2 A1 10 15 A2 20 25 Table 2   B1 B2 A1 10 25 A2…

Q: Question 2: a) Find the equation of the tangent lines to the curve y = that are parallel to the line…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use the first derivative to find all critical points and use the second derivative to find all…

A: we need to find out the critical points, inflection points and also need to sketch the graph

Q: Scientists are calculating how the mass of a potato changes in a particular solution, due to water…

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Q: 1. Sketch the graph of the function f(x)= (x+1) a. State the domain of f(x) in interval notation. b.…

A: note: as per guidelines we support only three subparts of the questions. kindly repost next question…

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: Let Rx, Cx, and Px be, respectively, the revenue, cost, and profit, in dollars, from the production…

Q: the demand function q = D(p) = 425 - p, find the following. For a) The elasticity b) The elasticity…

A: D(p)=425-p

Q: A sequence is a list of numbers written in a definite order: Each number is called a ..., an a1, A2,…

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Q: 6.50 Prove that 241 (52h -1) for every positive integern. Proof: We proceed by induction. Let P(n):…

A: Your proof is correct except for a few points. Please look at the corrections mentioned below. (The…

Q: Use the Chain Rule to find the indicated partial derivatives. u = x + yz, ди ди драг ди др ди ar ди…

A: We need to find out the partial derivatives.