Utilice el teorema de Sandwich (emparedado) para demostrar que lim [x Envie sus computos a Blackboard. De no enviar sus computos n For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph x² Y 1-0 x cos ( 3 7A r <= 0

Q: 19. For a given function, f(x) = ³ - 15x² + 48x + 2, (a) Find the interval(s) on which f is…

A: Note to student :    Thanks for posting your queries. But there are  multiple parts given. As per…

Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Find the average value of f over the region D. f(x, y) = 6x sin(y), D is enclosed by the curves y =…

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Q: What is the general solution to ya dy dx ○ y = ±₁/2. + C 4x In(4) o y = +. o y = o y = + 4x In(4) +…

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Q: cx²+1 ₂. F(x) = [²² - -H (t³ - t) dx

A: We have to find derivative

Q: Answer the following questions for the function defined on the interval [-5,7). a.) f(x) is concave…

A: Use derivative concept

Q: Dada la función f(x) = (a) Determine dy dx (b) Encuentre la ecuación de la linea tangente a x = 4 y…

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Q: V. Provide up to the 5th degree Taylor Polynomial of the given function: f(x)= xex by about x=-1

A: Given :fx=xe-xx=-1

Q: 3. Find the volume of the solid formed by y = √√4sin(x) bounded by x = 0 revolved about the x axis…

A: According to the question we need to find out the volume of revolution of the curve.

Q: 34. dx = x³+4x² + 5x - 1 is given. What is ƒ(1)? A.-7 B.3 C.-2 D. 16 35. Evaluate the integral f(x²…

A: 34) The integration of the integral is f(x)/x2=x3+4x2+5x-1.  35) The given integral is…

Q: Find the derivative of y = Select one: O a. O b. du O C. d. d = O e. (2x-5)cscrcotx-2cotx (2x-5)2…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Q3/ Solve the following Second order differential equations. 2- d²y dx² +3+ 2y = e-x + e-2x -

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Q: Find the shortest distance between the point A (3, 10) and the line y = x + 1.

A: Our Aim is to find the shortest distance between the point A(3,10) and the line y=12x+1 -(i)

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal…

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Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

Q: nd the radius of convergence, R, of the series. ∞ (-1)^x" √n n = 1 nd the interval, I, of…

A: We have to find the radius of convergence

Q: Consider the graph of the function f(x) given on the next page, which consists of line segments and…

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Q: Use the figure below to find the exact value of the trigonometric run tan(A) 7 A

A: The solution is given below

Q: 3. Suppose [ f(2)dx = 36, So r)dr the following: a. b. f f(x)dr 50 f(r)dr = 12, (2ƒ(r) + +12g(r) -…

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Q: ∞ 20. ) (-1) n=1 (n + 1)! (n + 1)”

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Q: Transform the given differential equation into an equivalent system of first-order differential…

A: Using substitution and differentiation,

Q: Q1/ Solve the following differential Equations. 3- dx +2²= 3x x

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or sin(8n) Σ 47 n =…

A: We will use Ratio-Test to find convergence

Q: Find the Taylor or McLaurin series for the following functions f(x) = ln(1+x), a = 0

A: According to the question we need to find out the McLaurin series.

Q: 2 x³ dx -6 √x²-9 Evaluate O44√3 24√/3 34√5 34√3

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Q: Sketch the function. 4 k(x) = -x² +6x²-8 Part 1 of 4

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Q: Find the limit as x approaches -1 for O-1/2 O 1/2 O-1 01 x+2 -1 x+1

A: Concept: L'Hospital's Rule: A general technique for assessing indeterminate forms like 0/0 or ∞/∞ is…

Q: Definite integral

A: Given :Definite integral

Q: 14. Σ(-1), Inn n! n=1

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Q: 62. y + y = 22 +10x X

A: To find out the general solution of the differential equation.

Q: Sketch the region enclosed by the curves and find its area. 1 √1-9x2¹ Y=2 NOTE: Enter the exact…

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Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose…

A: To find out the integration.

Q: LI) Prove that (3

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Q: Let H(x) = f(x) - (x²+5) where f is the function described by its graph below. 3 2 1 0 What is H'…

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Q: Solve the given initial-value problem. y(x) = y" + 6y' 7y= 11e²x, y(0) = 1, y'(0) = 1 11e2x -7.x 7e…

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Q: In a classic video game, balloons travel from left to right along a linear path that passes through…

A: Given equation is :   x-12+y2= 100 ---- equation of circley=3x+7 --------equation of line

Q: find the unit vector in the direction of u u=

A: find the unit vector in the direction of u u=&lt;-4,-1,-3&gt;

Q: Find the critical points of the given function. 1 a) f(x) = -√24/3+2¹/ +2-2/3

A: Since multiple questions are asked, I am answering first question

Q: If the terminal side of angle A goes through the point (−24/25,7/25) on the unit circle, then what…

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Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.012 per…

A: Given data÷ Marginal cost  cp=$0.012 per page  Where p=number of pages

Q: S 2 (2 x ² + 1 ) 1²/1 2 dx

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Q: Find the radius of convergence for: 6nxn n! n=1

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Q: 1.5 Integrate 10(2x + 1) dx Answer 1

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Q: Use geometry (not Riemann sums) to evaluate the following definite integral. Sketch a graph of the…

A: This question can be solved using the concept of geometry to solve definite integrals.

Q: 3. What are the values of A, B, and C so that a. A = -2, B = 3, and C = 4 b. A = 2, B = 3, and C= -4…

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Q: Show your complete solution: Evaluate the triple integral pl+y² xdtdydx 1-x S S T 2y

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Q: 15. Show that the equation, 2³ + e* = 0 has exactly one real root.

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Q: d.) s 2x+3 x243x-1 dx

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Q: Calculate the double integral. 16 9(1+x²) 1+ y² dA, R = {(x, y) | 0 ≤ x ≤ 5,0 ≤ y ≤ 1}

A: Please see the below picture for detailed solution.