Find the limit. 54) lim (lnx)/x X→∞

Q: 1. Find the Taylor series for f(x) = cos x centered at 75 a = . Express your answer in 4 sigma…

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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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Q: Use the substitution formula to evaluate the integral. fin-√3/22 c2x dx 1 + e4x 28) 0

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Q: y = x² + 4, y = 2x + 4

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A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

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A: The answer is given below:

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Q: Find the area of the following region. The region inside the inner loop of the limaçon r=4-8 cos 0

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Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb

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Q: 15. Use a suitable change of variables to determine the indefinite integral. [1²cos² (1³) sin(1³)dt

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Q: Find the second derivative of y= b. -x-32 a. -3/2 4/24 C. -5/2 C. thrown vertically upward. The

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Q: Find two numbers with difference 82 and whose product is a minimum. Enter your answers in increasing…

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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.

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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: Question 1 Nondifferentiable graph.png Find the x-values (there are three values) from the graph,…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it…

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Q: 13. Show that there are no tangents to the curve y = can be concluded about the graph? 2x+1 4x +3…

A: We have to find the nature of curve.

Q: Determine whether the vector field F(x, y) = conservative. yi + xj 1 + xy is

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Q: Find the polar equation for the Cartesian curve ² Or 1 T= cos 2 1 Or=sin @tan 0 2 T = Or= Or T = 1 1…

A: The given cartesian curve x2=y2 we have to find the polar equation

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Q: A piece of cardboard measuring 12 inches by 8 inches is formed into an open-top box by cutting…

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Q: Evaluate the definite integral and choose the correct answer. dx 1+5x 0 1 O -In 11+ 5xl + C 5 1 1+5r…

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Q: on) solve the Differential en by using vanation of parameters - 24 (+12 yll -24¹ +y₁

A: Please see the below picture for detailed solution.

Q: 18 2 6x dx using n = 2, 4, and 8 subintervals 2

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Q: Two cars are moving towards an intersection. One car is 190 meters north of the intersection and…

A: Given:Distance of the car approaching from the north to the intersection, X=190 m  Distance of the…

Q: 3 +3x² - 105x + 23. efinition of a derivative or the derivativ lefinition of a derivative or the…

A: In this question we will use basic concepts of calculus i.e concepts of derivatives. We will simply…

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Q: Two cars are moving towards an intersection. One car is 200 meters north of the intersection and…

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Q: 51. f(x) = √2-3x²; f''(x)

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Q: Question 5 @ (x - 5)3 using the chain rule (generalized power rule) and choose the correct value of…

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Q: a. Use the method of undetermined coefficients to find a particular solution to the nonhomogeneous…

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Q: The function f(x) = 2x³ - 36x² + 162x - 10 has two critical numbers. The smaller one is x = and the…

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Q: K his Find the vertex, focus, and directrix of the following parabola. Graph the equation. 2 x +…

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Q: Find the critical number for y = f(x) = x (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . the given function is take derivative…

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n Σ(++4)(#) Ilm Submit…

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Q: Consider the function f(x) = 2x² - 2x +3, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: Use the graph to solve the such a problem to find the absolute extrema.

Q: What is the difference between net area and total area from the curve to the x axis? What is the…

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

Q: Determine whether the work done along the path C is positive, negative, or zero. c/

A: we know that Work W=∫C F→·dr→

Q: Find the indicated midpoint rule approximation to the followin S 4 sin (x) dx using n = 6…

A: The Midpoint Rule: ∫abfxdx=∆xfx0+x12+fx1+x22+fx2+x32+...+fxn-2+xn-12+fxn-1+xn2 Where, ∆x=step…