(x + 2 if x<1 14 f(x) = if x> 1.

Q: Prove the statement using the ε, ?  definition of a limit.

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Q: Really stuck - not sure what the explanation is talking about

A: Given the figure,  Area of the shell = 2pi*r*h where r is the shell radius and h is shell height. S...

Q: Find the average value of the function ƒ(ρ, Φ, θ) = ρ cos Φ over the solid upper ball ρ ≤ 1, 0 ≤ Φ ≤...

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Q: Find the area enclosed by the given curves. Find the area of the "triangular" region in the first qu...

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Q: Find the vertex, focus, and directrix of the parabola x2 − 2x − 4y − 7 = 0 , and sketch its graph.

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Q: Second derivative Assume a curve is given by the parametric equations x = f(t) and y = g(t), where f...

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Q: 31-32 - Linear Functions Given Numerically A table of values for a linear function f is given. (a) F...

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Q: Find the volume of the solid cut from the thick-walled cylinder 1 ≤ x2 + y2 ≤ 2 by the cones z = ±√(...

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Q: Find the Limit

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Q: With what initial velocity must an object be thrown upward (from a height of 3 meters) to reach a ma...

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Q: Simplify (assume that variables represent non negative real numbers) √(2x2) . √6x

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Q: Find two values of n such that y = enI is a solution of y" + y' – 72y = 0

A: Given differential equation,  y'' + y' -72y = 0 To find the solution of above equation in form of en...

Q: Swimming Laps Miyuki practices swimming laps with her team. The function y = f(t) graphed below give...

A: Given: The Swimming Laps Miyuki practices swimming laps with her team. The function y = f(t) graphed...

Q: Perform the indicated operations and write the result in standard form. (2 - √-3)2

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Q: Determine whether the function y = x2 ex is a solution of the differential equation xy′ − 2y = x3 ex...

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Q: Solve: x4 - 6x3 + 22x2 - 30x + 13 = 0.

A: The given equation is By rational root theorem, then the rational roots are Find the factors of 1...

Q: Use the Product rule or the Quotient Rule to find the derivative of the function

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Q: Manipulating Taylor series Use the Taylor series in Table 11.5 to find the first four nonzero terms ...

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Q: Partial derivatives with more than two variables Find the first partial derivatives of the following...

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Q: Graph the function by hand, not by plotting points, butby starting with the graph of one of the stan...

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: We need to evaluate the integral using the fundamental theorem of calculus:  

Q: The graphs of y = sin-1 x, y = cos-1 x, and y = tan-1 x are shown in the given table. Use transforma...

A: Given graphs of y = sin-1 x, y = cos-1 x, and y = tan-1 x a) To plot h(x) = -2 tan-1 x using transfo...

Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not e...

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Q: Determine whether the given function is even, odd, or neither. Then determine whether the function’s...

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Q: How do you find the new domain of a function after a transformation has been performed? (Without gra...

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Q: 5 / x + 3 - 4 / x - 3 = 2x / x2 - 9

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Q: The figure shows the graph of f(x) = ex. Use transformations of this graph to graph the function g(x...

A: Here By substituting x by x+1 That is, the graph of g(x) is shifted left side by 1 unit.

Q: A text message plan costs $4 per month plus $0.15 per text. The monthly cost for x text messages can...

A: Given: A text message plan costs $4 per month plus $0.15 per text.

Q: Find polar equations for the circle. Sketch eachcircle in the coordinate plane and label it with bot...

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Q: Would you use numerical integration to evaluate. Explain.

A: We have given a definite integral;

Q: When a car makes an emergency stop on dry pavement, it leaves skid marks on the pavement. The speed ...

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Q: Find the degree of the polynomial : x2 - 8x3 + 15x4 + 91.

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Q: sketch the described regions of integration. 0 ≤ x ≤ 1, ex ≤ y ≤ e

A: Given, 0 ≤ x ≤ 1 and  ex ≤ y ≤ e  

Q: Evaluate each function. a. arcsin(−1/2) b. arccos 0 c. arctan √3 d. arcsin(0.3)

A: Important points: 1. sin-1(-x) = - sin-1x 2. sin (π/6) = 1/2    =&gt;   1/2=sin (π/6) 3. cos (π/2) =...

Q: Give the coordinates of the circle's center and its radius. x²+y?-64 = 0

A: x2+y2-64=0 We need to find the center and radius of the circle.  

Q: Number of terms What is the minimum order of the Taylor polynomial required to approximate the follo...

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Q: Use graphs to find the set: (1, 4) ∩ [2, 8]

A: Now by combining these two graphs, we get  

Q: If v lies in the first quadrant and makes an angle π/3 with the positive x-axis and |v| = 8, find v ...

A: Any vector making an angle with positive x axis can e broken into components very easily in terms of...

Q: A The position vector of a moving particle is given as Ret)= (2+3t + 3t*)i + (4t + 4tj-6Costk ヒ=o Fi...

A: Consider the given position vector,  

Q: You are saving for a new $1226 (including taxes) laptop computer using earnings from your part-time ...

A: It is given that earning for an hour is $13.35 and total working hour in a week is 20 hours. So,in a...

Q: Draw the Graphs of the perpendicular lines?

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Q: Find the general solution of

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Q: The displacement (in centimeters) of a particle s moving back and forth along a straight line is giv...

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Q: Find the vector v with the given magnitude and the same direction as u.Magnitude v = 3 Directionu ...

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Q: If you are given a function’s graph, how do you determine if the function is even, odd, or neither?

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Q: Which are the correct? Please write down why is correct or incorrect.

A: First option is incorrect as there is no such thing as infinite limit. if limit comes infinite then ...