Evaluate the following: lim In(e+h)-in e

Q: Determine whether the function shown below is a one-to-one function. If it is one-to-one, find its…

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Q: Find the average rate of change of the function over the given intervals. f(x) = 12x³ +12; a) [5,7],…

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Q: 1 e e 5. If A-), then ¹-(3) = eª = 01 0 e

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Q: is it 3and -2 for A?

A: y=x2-6x+7

Q: Evaluate the following limits algebraically. 1. lim x---> 2      {5x - 7; x = 2

A: Note:-Since you asked multiple questions according to our polcy we can answer only first question…

Q: Find the derivative of h (x) = csc¹ (x) Oh' (x) = -4 csc¹ (x) cot(x) ○ h' (x) = 4 csc¹ (x) cot² (x)…

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Q: Suppose that we're making and selling some widget and the cost (in dollars) when making a widgets is…

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Q: 6. 14 ) Consider both geometric series below. 3 SA = 00 Σ n=1 5n and SB = M8 n=0 3 5n Both SA and SB…

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Q: Let g(2) = 42³ +7z7 Determine the most general indefinite integral of g. | (42³ + 7z") dz =

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Q: 3. Use the figure to answer the questions. B M Answer: D C (a) Which pair of corresponding angles do…

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Q: Use implicit differentiation to find the equation of the tangent line to the function defined…

A: The given equation is; 6x2+2x4y5=8Point (-1,1)

Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

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Q: Consider the region below f(x) = (6-x), above the x-axis, and between x = 0 and x = 6. Let x; be the…

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Q: The system of first order differential equations y₁ = 5y₁ + 1y2 y₂ = −4y₁ + 1y2 where y₁ (0)= 4, y2…

A: The objective of the question is to verify if the given functions y1(t) = (4 - t)e^(3t) and y2(t) =…

Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

A: The given complex number is

Q: A 100 m long rope hangs from the top of a mine shaft, and is attached to a crate full of coal. The…

A: The objective of this question is to calculate the total amount of work done to lift the rope and…

Q: Find an equation of the line tangent to the following curve at the given point. 2 5x 3' 6 y = T= 1…

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Q: When solving the auxiliary equation associated with the differential equation 3y"+2y"=0 it is…

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Q: Let f(x) be a continuous function for which we know f(2)=3, f(4) = 5, f'(2) = 7, and f'(4) = 19.…

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Q: Evaluate ∫∫∫E(x+y−3z) dV where E={(x,y,z)∣−4≤y≤0,0≤x≤y,0≤z≤x+y2}

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Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A: Given that the polar curve

Q: Find the arc length for the curve c(t) = (t³ + 1, t² – 3) over the interval 0 ≤ t ≤ 1.

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

Q: 4. n=1 ne-n

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

Q: Breathing is cyclic and a full respiratory cycle from the beginning of inhalation (t =0) to the end…

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Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x²…

A: The given marginal profit function , where  is the amount of cheese sold in hundreds of pounds.The…

Q: Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 4zi +…

A: We have to find the flux of the curl of the field F using surface integral in Stoke's Theorem.Given…

Q: 9. In the following exercise: i. Identify the function's local extreme values in the given domain,…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, Kindly…

Q: The distance from the home plate to the fence in dead center at a certain baseball field is 387…

A: Let x feet  distance from the fence in the dead center to third base The given figure

Q: Suppose that we're making and selling some widget and the revenue (in dollars) when making a widgets…

A: The objective of this question is to find the average revenue, marginal average revenue functions,…

Q: Use logarithmic differentiation to find y = secx tex Secx dy dx 4 for: x² +1 e 8x secx

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Q: Use the parametric equations of an ellipse, x = a cos(8), y = b sin(0), 0 ≤ 0 ≤ 2π, to find the area…

A: Given that the parametric equation

Q: 11. Find the absolute maximum and minimum values of each function on the given interval: (a) y =…

A: The given functions

Q: Suppose you are given a triangle with Then a = , and b= 9. Enter your answers with at least 3 digits…

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Q: 58. Movie Theater Tickets A movie theater charges $9.00 for adults and $7.00 for senior citizens. On…

A: Movie Theater Tickets A movie theater charges $9.00 foradults and $7.00 for senior citizens. On a…

Q: Find T 1 = -1 wwwman x² dx + C

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Q: 7. Evaluate the definite integral. a. b. С. 9 cos(xt/2) dt в'ітетка 1+ * = dx 47 dx

A: The given intergals are

Q: Find the absolute minimum and absolute maximum of f(x, y) = 192x³ + y²(1 - 4x) on the triangle with…

A: Given function is Now, we have to find the absolute minimum and absolute maximum for the above…

Q: List the first five terms of the sequence. a1 = 5, 2n + 1 2an +4 а1 а2 аз ад a5

A: To list the first five terms of the following sequence.

Q: Find all exact solutions on the interval 0 ≤ 0< 360°. If there is more than one answer, enter them…

A: 2 cos(theta) = - sqrt(2), [0,2 pi)

Q: 8. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval [0, π/2], are…

A: The given functions are the inner product of two functions f and g on the interval [a, b] is the…

Q: 14. A rectangle has its base on the x-axis and its upper two vertices on the parabola y =12-x². What…

A: The second derivative test states thatWe use this to solve the given problem.

Q: The total revenue for a product can be calculated as the area under the demand curve. Suppose that…

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Q: What are the radius and the coordinates of the center of the circle with equation x2 +(y-2)2=30

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Q: Find the cube roots of 125i. (Enter your answers as a comma separated list.) Sketch these roots in…

A: The given complex number is By De Morive's theorem The nth root of a complex number is

Q: didnt work

A: We have to find the rate of change of difference of temperature.

Q: Question Details Given VxF= 2yj, what can we say about the vector field F? (Select all that apply.)…

A: We have to use the concept of curl of vector field

Q: Functions f and g are given as follows. X 5 X+2 x + 2 Find each of the following functions and state…

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Q: Consider the functions f(x) = 6 arcsin (6x) g(r)= 12arctan (a) Find the derivatives of f(x) and…

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Q: Find the Derivative and the Line Tangent to a Curve at a Point. 2 (-2x - 3)² Given that R(x) R'(x)…

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Q: 17. Determine whether the sequence converges or diverges. Find the limit if converges: a = 2n+3 2n+1…

A: To determine whether the sequence converges or diverges.To find the limit if it converges.