Find the arc length of the function y = x2 + x - 2  on the interval [-2,1].

Q: Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

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Q: 1. t. Determine the order of each of the following differential equations, and state whether it is…

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Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

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Q: feature

A: Please refer to the image below

Q: 3. g(u) = √u+√4=u

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Q: 1. f(x) = (x (x+1 if x ≤ 0 if x>0

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Q: 1. f(x) = sx (x+1 if x ≤ 0 if x > 0

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Q: Find an equation of the tangent line to the graph of the function at the point (0,1). (a) y = ex…

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Q: 1) When using the Newton-Raphson method to solve the equation cos(ax) = x,this is done one of the…

A: The given equation cos(ax)=x Newton-Raphson method algorithm: The method is used to find the…

Q: ****** 0 Find the value. (Enter your answer in radians.) As x→ -1, the value of arcsin x → EN 2

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Q: A research lab grows a type of bacterium in culture in a circular region. The radius of the circle,…

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Q: Q3) (E.G.) If BAC is an angle such that B=(1,2,3) and E=(2,1,3) are belonging to one side of the…

A: According to the Bartleby guidelines, I'm answering the first question for you. Please re-post the…

Q: Evaluate each limit or state it does not exist a) lim 6x²-5x-1 x →1 2x² - x - 1 b). x²³_8 lim X-2…

A: a3 - b3 = (a-b)(a2+ab+b2)

Q: 1 3. f(t)=√3-2t; f(1), f(−3), ƒ(0)

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Q: Show that y = In (x) is a solution of xy" + y² = 0.

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Q: 1. h(x) = √4x²

A: Given function h(x)=4-x2

Q: Part A: What is the total of the percentages shown in the chart? Answer: Answer: % Part B: What…

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Q: Evaluate lim f(x) if f (x) x-5- A B -10-4 D 0 ∞ ∞ = 1 (x - 5) 4

A: To find out the limit.

Q: Q6. Let O(0,0), A(1,0), B(1,4) be points in the plane R². Then the following point lies in the…

A: I am attaching image so that you understand each and every step.

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: The Solution is given below

Q: A circle has the equation 4x² + 16x + 4y² = (a) Find the center (h,k) and radius r of the circle.…

A: Given Equation:- 4x2+16x+4y2=0

Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: To find out the differential equation for the family of circles having centre on the line y=2x.

Q: Evaluate the integral (1+lnx)5/ x dx from 1 to e.    Find the indefinite integral: sin(x)…

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Q: 3. Sketch the graph of the function y = f(x)=√4-x². Find the domain and f(x) of the function

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Q: A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is…

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Q: Q10) (E.G.) Let O be an interior point of AABC and let E,F,G be the foot of O on AB, BC, AC.If AB =…

A: Note- since you have asked multiple question but according to bartleby guideline i only have to…

Q: X 4 4.9 4.99 5 5.01 5.1 6 f(x) 7 8.8 8.99 7 9.02 9.1 12

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Q: Use the binomial series to find the Maclaurin series for the function. 00 f(x) = Σ n = 0 f(x) = 1 (1…

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Q: A. by extracting square roots. 1. x² = 169 2. 9b2 = 25 3. (3y 1)2 = 0 - 4. (x - 2)2 = 16 5.…

A: Let's solve.

Q: 3. Using the following table, find the average rate of change from x = 2 to 11 X f(x) -1 -4 2 4 4 8…

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Q: Using continuity, evaluate the limit: - 1 sin(z + sin(x)) lim X→ -

A: Topic- Limits

Q: I'm 4-√3x + 1 2=75 2²²-7x+10

A: We can solve this as follows:

Q: Let f(x) = 5x + 4. Determine (ƒoƒoƒ)(x). (fofof)(x)

A: Given fog=hx=1x-7 and gx=x-7To find : fxSolution :fog=hxfgx=hxfx-7=1x-7let, x-7=tft=1treplace…

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: We can find the answer as below.

Q: 3. f(x,y) tanx - sec²x - cosy

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Q: Simplify the expression by first getting common denominator, then pulling out any common factors in…

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Q: 1. Use limits to find the derivative of the following function at the point a = -1. 1 2x + 1 f(x)= =…

A: We have to find derivative

Q: if f(x) = x + 5* . find the derivative of this function f'(x) A. f'(x) = 5* In 5 B. f'(x) = -1 + 5*…

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Q: 1 2 -1 -2 6 V = 8 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: 1. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

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Q: Find the General Solution Choices: 1.x4=c2(4x2+y2) 2. X2=c2(4x+y) 3. X2=c2(4x2+y) 4. X4=c2(4x2+y)

A: Since this a homogeneous differential equation of degree 2 thats why we replace y=vx and solve it to…

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: Write the interval of continuity for the function below: sin(x)√/25 - x2 x-6 f(x) =

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Q: (2) S dx x²√9-x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): f(x) = m= n= 4 x-2 mx² - nx 2x -…

A: Topic- Limits and continuity

Q: Write the interval of continuity for the function below: tan(sin(x)) log3 (7) f(x)= = for 0 < 2T

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Q: Q12.Let A(6,6), B(6,2), C(3,2) be points in the plane R².The hypotenuse of AABC is: A)5 B) AB C) AC…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 1. You leave Morgantown at noon and your distance traveled in miles after t hours is given by the…

A: Solution )a) f(t) = -10t2 + 85t  150 = -10t2 + 85t -10t2 + 85t - 150 = 0 10t2 - 85t + 150 = 0 5 (…

Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

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Q: 2) Consider the function defined by g(x) = 5x - 4. You may use the graph of this function to…

A: Recall: Derivative(|x|)=xx