Solve for a and b that makes the function continuous at every number in its domain f(x) = 2x+1 x<=3 ax+b 35

Q: Test the series below for convergence using the Ratio Test. n + 4 53п + 4 n=1 The limit of the ratio…

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Q: As shown in the figure below, Ann is standing 36 feet from the base of a leaning tree. The length of…

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Q: Compute the derivative, and simplify your answer. You must show your work. t3/2 +t1/2 dt d dx

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Q: Write the equation of a sine or cosine function to describe the graph. y 4- 3+ 2- 2n 10n -1 3 -2 -3

A: The equation of a sinusoidal wave is given by:y=p(sin(q(x+r))+dwhere p=amplitude, q=2πperiod,…

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Q: Let vector Ñ be normal to plane x – 5y – 2z = 3, and let Ē = (3, – 2, 1). Find the following. 1. The…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an = 8^(n +…

A: The given sequence,    an=8(n+2)9n

Q: Two airplanes leave an airport at the same time. An hour later, the planes are 229 km apart. If one…

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Q: Determine how many terms should be used to estimate the sum of the entire series with an error of…

A: Use the  Alternating Series Estimation Theorem and solve the problem.

Q: ded above by surface z = 10 – x2, bou e planes y = 0 and y = 3.

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Given problem:-   Set up, but do not evaluate, an integral for the volume of the solid obtained by…

Q: In(k) Does the series ) (- 1)* E(- 1)* k2 + 4 converge absolutely, converge conditionally or…

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Q: d y' (-9 csc 3x cot 3x – 9 csc 3x) dx

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Q: Evaluate

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Q: A local minimum value of the function f(x) = 2x3 + 3x2 + 3 is 1) O 2) 4 3) 3 4) -1

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 6)…

A: Given;  The line through (8,6) that is parallel to -4i+3j.

Q: Two functions g(x) and h(x) have derivatives g'(x)=2x2-10x+8 and h'(x)=6x-16. The graphs of g'(x)…

A: Given problem:- Two functions g(x) and h(x) have derivatives g'(x)=2x^ 2 -10x+8 and h'(x)=6x-16  To…

Q: Find the limit. lim (t i – 7 j+1² k) t→5 lim (t i-7 j+t? k) = i+ j+ k i i i

A: To find the limit: limt→5(t i-7j+t2k)

Q: Find the equation of the tangent line to y = 7et at x = 3. (Use symbolic notation and fractions…

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Q: 17. f (x) = (1+ 4x)²

A: Solve the following

Q: Evaluate. (Be sure to check by differentiating!) dx, x -2 4 + 2x dx 4 + 2x (Type an exact answer.…

A: To evaluate: ∫14+2xdx Let I= ∫14+2xdx

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = fx) 8.…

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Q: A line is tangent to y = -4Vx when x = 1. What is the coefficient of x when the line is in the form…

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Q: 2. An oil well produces 70, 000 barrels of oil on day one. Production is decreasing by 10% a day. a)…

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Q: Find all points the graph of f(x) = 2 sin x + sin?x where the tangent line is horizontal on

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Q: Use the power series 00 1 + x n = 0 to determine a power series, centered at 0, for the function.…

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Q: 4. In each part below, give an example of a function which satisfies the given criteria. Justify…

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Q: 5 – sin n Test the series for convergence or divergence. n=1

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Q: Find Duf at P. 2 f(x, y, z) = 6x³y°z°; P(2, – 2, 2); u = ;i + -k

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Q: Determine whether the line and plane intersect; if so, find the coordinates of the intersection. (a)…

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Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.)…

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Q: Sketch the region in the plane consisting of points whose polar coordinates satsfy the given condi…

A: formula  r2=x2+y2   condition  1&lt;r≤3   for r = 1 r2=x2+y2x2+y2=1 which is equation of circle with…

Q: S. Elli gives her son Paul 1¢ on his first birthday, 2¢ on his second birthday, 4¢ on his third…

A: Here, the amount doubles on every birthday starting from 1c. That is we have the sequence:…

Q: You are designing an RPG (role-playing game) for a gaming console and have decided to use an open…

A: Here's the solution, please have a look at it...

Q: If f is defined at x = a, then | f(x)dx is equal to O 1 O a O-a

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Q: 2n + 5 9n + 4 n=1

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. f(x) =…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: Here, note that the sequence an is convergent if  limn→∞an ia finite,

Q: Which among the following is an odd function     x3 + 1     x5 + 3     x3 + x2     x3 - x

A: A function is said to be odd function if f(-x)=-f(x).

Q: Draw the graphs of the given functions. Find their points of intersection. Find the area bounded by…

A: Given curvesy = 4x2y = x2+3

Q: Use an improper double integral to find the volume of the indicated solid. 2--(* + y)/9 Osy<co 8 6 4…

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A: Since multiple subparts are asked, I am answering first 3 subparts. Here we will use first…

Q: Find the indicated derivative for the function. f′′(x) for f(x)=2x7−9x2+2x−

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Q: sify whether f(x) is continuous or discontinuous at the point/s. If disco x – 2 x <-1 f(x) = { x² +…

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Q: 2. There is an element from the group Qu of order: (a)3 (b) 5 (c) 6 (d) 4 The correct answer is (a)…

A: We know order of an element in a divides the order of the group. We know center of Sn is trivial for…

Q: Using mathematically precise language, explain in detail how you would multiply the complex number…

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Q: t. 0.5 -5 -3 -2 f -0.3 -1 -1.5 -2 Find the following limits, if they exist. 5. lim f(x) 6. lim f(x)…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: y2, the y axis and y 1, rotated about the line y = 2. The rectangular elements are parallel The…

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Q: Find the arclength of the curve x = 3t + 5, y = 4t + 7 with 2 < t < 5.

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Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x + 0.07x + 19x +…

A: We have to solve only D, as asking in the question.