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Q: question b

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Q: Find the limits. f(x) = x + 2 (a) (b) (c) lim X-15 g(x) = x² f(x) = -3 lim g(x) = 0 X40 X--5…

A: Solve the given

Q: exist. (i) (ii) Find the limit if it exists, or show that it does not lim (x,y) →(1,-2) y² + 2xy +…

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Q: To find the arclength of y = 4x² - 3 from a = 0 to x = 4, which is the correct integral? √ VI + Sada…

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Q: What is the derivative of f(x) = Select the correct answer below: O 4V/2 O 2012 3 O w/s O 16V/2 о 3…

A: Derivative of function f(x)=43x54 at x=4

Q: Consider the following. f(x)= -(-3x, X ≤ 6 X > 6 x² - 4x + 9, Find the x-value at which f is not…

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Q: Halla la derivada de la función g(x): 8 ( x ) = sin -5 √/2 - 1 dr

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Q: Find the solution of the following initial value problem. y(0) = 8, y'(0) = -55 : y" + 15y' + 50y =…

A: Given :y''+15y'+50y=0y(0)=8y'(0)=-55

Q: Solve for t such that 0 < t < 2π 16 sin(t)cos(t) = 4 sin(t) t = List exact radian answers when…

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Q: sec²(x) √2-3tan (x) dx

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Q: .) Use method of Laplace Transforms. y"-6y +13y=0, y(0) = 1, y (0) = -3.

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Q: b) [ bounded 1: Find the volume of the solid obtained by rotating the region by the curve about the…

A: Graph:

Q: Suppose y cos 0sin 0. Answer the following. dy de 6) Separate the differential equation, then…

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Q: f(x) = x+69 (x-3)(x-6)

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Q: Consider the following function. f(x)=x²9 X-9 Determine whether f(x) approaches ∞ or - as x…

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Q: The absolute minimum is at one of the local minima. True or False

A: It is indeed true.

Q: Graph the parabola. 3 y= Plot five points on the parabola: the vertex, two points to the left of the…

A: Solution: y=32x2 vertex = (0,0)

Q: 1) Find the sum of the Telescoping series n=1 2 n(n+3)

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Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

Q: Find the linear approximation L(x) of the function f(x) = (1-x)1/2 at a=0 and then use L(x) to…

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Q: Calculate dz/du and dz/dv given the following functions: 2x-y x + 3y' = f(x, y) = = Z = x(u, v) =…

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Q: Use the graph of the derivative g'(x) shown below and the terminology: increasing, decreasing, local…

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 6x3/2…

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Q: y = -x² + 13 and y = x² + 5

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Q: Use Stokes' Theorem to compute ff.xx where F = (x, xy, zy), and S is the upper half of the sphere x²…

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Q: f(x)={-2x, X = x ≤ 4 x>4 x² - 8x + 5, Find the x-value at which f is not continuous. Is the…

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Q: The series verges Justification: (converges, diverges) by applying the test.

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Q: What is the integral that represents the length of the curve from x = 2 to x = 4. Select one: 0 ₂²…

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Q: 1).Use the direction field below from the differential equation y' = −4y to sketch the graph of the…

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Q: csc(x) = 5, for 90° < x < 180°, then (²3 2

A: Please refer to the image below

Q: Evaluate: f 4dx 3x+2

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Q: Find (any way you want) the integral [F.dr, where F = (sin x+2y, x+y²), and C is the triangle with…

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Q: Consider the following function. f(x) = 4x² - 6x Find the limit. lim Az-0 f (x + Ax)-f(x) Ax

A: Explanation of the answer is as follows

Q: Consider the function f(x, y) = xy² exp xp ( - 1/3² + y) Compute the stationary points of the…

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Q: Calculate the integral, assuming that fo f(x) dx = -4, ² f(x) dx = 4, ₁ f(x) dx = 11. (Use symbolic…

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Q: Question * O O O The following integral 1° (3 (3 - ex) dx is an improper integral of type II that…

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Q: Evaluate ³*-2 dx 3x-2 e³x-2 + C O (3x-2) e³x-2 +C Ⓒ (3x-2) Ce³x-2 3x-2 3 + C

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Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x² - 5xy + y³ = 21

A: As per policy only first question is answered. Please refer to the image below

Q: Σ k=1 20 Τ k!

A: We will use Ratio-Test.

Q: Problem 10 (i) Write the polar equation in Cartesian coordinates. (ii) Write the rectangular…

A: This is coordinate system problem

Q: Specify the substitution you would choose to evaluate the integrals. S (t + 4) e²+8+1 dt Ou=t+4…

A: The given integral is ∫t+4et2+8t+1dt. We have to find substitution for the integral.

Q: If we apply Rolle's Theorem to the function f(x) = 2x² – 20x − 2 on the interval [3, 7], how many…

A: We have to apply Rolle's theorem.

Q: What is the integral that represents the length of the curve from x = 2 to x = 4. Select one: O…

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Q: 1. Given x = y² + yt! X y²+ y +ı from osy≤2 Which of the following expression gives the arc length…

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: From the given graph, we have to find the increasing and decreasing intervals.

Q: Solve 2 cos² (x) - 3 cos(x) + 1 = 0 for all exact angles x where 0 < x < 2π x= Write answers in a…

A: Solution of given question is written in below steps.

Q: etermine the total differential of the function, f(x, y, z) = 2x³ + 5y¹ − 6z Odf = 6x² dx + 20y³dy -…

A: Please refer to the image below

Q: If the curve y = 4x², 2 ≤ x ≤ 5, is rotated about the x-axis, what is the integral that represents…

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Q: If f ' ' ( x ) = 2 , then f ( x ) is concave up at x = 2 . True OR False

A: f(x) is concave up at x= k if f"(k)&gt;0

Q: (3) (3) (4) h. y = sin(x² + 1) i. y = 3e4x5 j. y = In√5x3+4

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