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Q: lim 4x²+x -27 Find the limmit.

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Q: find the definate integral of the following please help me with E and F

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Q: Find and simplify f(a + h) – f(a) (h + 0) for the following function. f(x) = 4x2 - 14x + 5

A: Given function: Replace x by a and a+h:

Q: 10

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Q: Evaluate the integral ∫dx / √x+1.

A:

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) v(t)...

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Q: 32. Vx arctan x/2 dx

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Q: Consider a room in the shape of a cube, 4 meters on each side. A bug at point P wants to walk to poi...

A: Please see the diagram below to understand what's going on. Let POQ be the path.

Q: For the given function, find all values of c over the interval (,55) stipulated by Rolle's Theorem s...

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Q: The intersection between the surface x + y + z = 4 and the circle x2 + y? = 16,z = 0 is Your answer:...

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Q: Question 10 Find the arc length of the curve y = J8sin()-1 1 dt for -2<x<2. Your answer: o V8 O cos(...

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Q: Find and simplify the following for the function. (Assume h + 0.) f(x) = 9Vx ((а + h) - Ra)

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Q: Complete the table by computing f(x) at the given values of x. (Round your answers to three decimal ...

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Q: (a) Va? – x² dx .2 - (Ъ) V1 – x² dx

A: (a) The given Integral is It can be written as

Q: help me please Evaluate the upper and lower sums for f (x) = 2 + sin (x), 0 ≤ x ≤ π, with n = 2, 4, ...

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Q: Pretend u x v = (0, 3, 2). What is (6u + 3v) × u? A) (0, 18, 12) B) (0,0, 0) C) (0, –9, –6) D) (0, 9...

A: To find the value of the given cross vector.

Q: convert the above indefinite integrals into definate integrals using the intervals [0,1]. please i n...

A: h) Consider the following indefinite integral:

Q: convert the above indefinite integrals into definate integrals using the intervals [0,1].

A: To Determine: Convert the above indefinite integrals into definite integrals using the intervals [0,...

Q: find dp/dq p = 5 + 1/cot q

A: We first simplify the expression of p

Q: Use a linear approximation (or differentials) to estimate the given number. Consider the linear appr...

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Q: 3. Determine if each series converges or test justifies your conclusion. diverges and state which

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Q: Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflec...

A: Given the function:

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (5...

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Q: 8

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s). f...

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Q: Find the indicated limit given that lim f(x) = 5 and lim g(x) = 4. lim [2(x) – 4g(x)] xa Need Help? ...

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Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the...

A: Width of each interval = (10-3)/n= 7/n So, the right endpoints of the partition is:

Q: The volume of a right circular cone of radius x and height y is given by V - Tx², 'y. Suppose that t...

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Q: 1

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Q: 31) As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume...

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Q: Explain how to compute the curl of the vector field F = ⟨ƒ, g, h⟩.

A: Here given

Q: 20 Find the critical points and the intervals on which the function f(x) = (x³ – ºx) e* + 4 is incre...

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Q: Find the derivatives of the functions ƒ(s) =√s - 1/√s + 1

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Q: A force, slows the motion of a weighted spring so that the mass's position at time t is y=22e-t co...

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Q: Question: The graph of the equation x^2+xy+y^2=5 is an ellipse lying obliquely in the plane, as illu...

A: Given: Equation of ellipse is given as:

Q: f(x) dx = 16 and f(x) dx = 3.3, find f(x) dr. If 1 7

A: Here the given Now use the property of definite integral as

Q: Express the vectors in Exercises 9–12 in terms of their lengths and directions.

A: Q(9). Given: First find the length and then direction. Find magnitude. Find the direction of gi...

Q: dx X+2

A:

Q: Which of the following identities hold? Select all that apply. Your answer: 8 13 + 3993 2 T In 1+ 11...

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Q: Consider the following simple harmonic motion equation. What is the frequency? s(t)=6sin2t, wh...

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Q: 5

A: We will find the limit of the given sequence as n approaches infinity.

Q: Question 1: For the equation given below, evaluate dy/dx at the point (2,−1). ...

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st ques...

Q: Curl of a rotation field Consider the following vector fields, where r = ⟨x, y, z⟩.a. Compute the cu...

A: As a first step, we need to find the cross product F = ⟨1, -2, -3⟩ x r In the second step we will fi...