We are trying to prove the following limit. lim (5x)= x-2 Submit an exact answer for each of the blanks. = 10 1 Suppose that we have found a value of & such that ε = What numbers should go in the blanks such that the shown below is satisfied? 2 □ < 5æ <□

Q: Stano de

A: I=∫tan⁡θ dθ

Q: The signum, or sign, function, denoted by sgn, is defined by sgn(x) = if x 0

A: sgn⁡(x)={−1 if x&lt;00 if x=01 if x&gt;0

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A: f(x)=

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A: length of the vector

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Q: Solve the initial value problem. 5x2 − x − 3 ' + 1)(y + 1) · Y(1) = 5 2 +² dy dx (x +

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Q: 8 -5 -4 -3 -2 -1 0 1 2 3 4 5 14 7 2 −1 −2 −1 27 f(x) 47 34 23

A:

Q: Find a plane containing the line (t) = +t and orthogonal to the plane 4 - 8u - 22 - 2. 821 =

A: Line

Q: 2. Use the graph of p(n) below to answer the fo (pin) 2 0 -2 (a) What is p(1)? (b) What is p(0)? (c)…

A: The graph of  is given below.(d) To solve .(e) To find the values of  if (f) To solve .

Q: Differentiate the function. g'(x) = g(x) = 2x² - 6x - 6x + 15 5

A: To differentiate the following function.

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Q: 9-11. Let F(x) = f(x) + g(x), G(x) = f(x) - g(x), and H(x) = 3f(x) + 2g(x), where the graphs of f…

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A:

Q: ddy if y= (x² + 4x)² dx Simplify completely. Do not multiply out any binomials raised to more than…

A: y=Rules(i) (ii)  (iii)

Q: With respect to which of the following is the graph of y = symmetric?

A: y=−2xx4−4

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A: given limit , to find numerically

Q: Given the graph of the function f(x) below, estimate the slope of the tangent line to the curve at x…

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Q: Find the area of the shaded region.

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Q: Part a) Use the graph of f(z) to find a number & that guarantees |f(z) - 51 < 0.5 whenever |z-3|< 6.…

A: First, the definition of epsilon delta is÷Now, using the graph

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Q: Evaluate lim Δy→→0 sin(5y+Av)–sin(5y) Δι

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Q: (a) Evaluate each limit. (1) lim [x] (ii) lim [x] lim [x] (b) If n is an integer, evaluate each…

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Q: 6. With respect to which of the following is 3x x² + 1 symmetric? the graph of f(x) = A. y-axis and…

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Q: What value(s) of are an appropriate choice when proving the following limit? lim (x² – 3x + 5) = 3…

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A: given differential equation

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Q: 1.1 Exercises 1. The height above ground, h, of a ball t seconds after being dropped off a 60 meter…

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A: f(x)=cos⁡x and g(x)=x, where 0≤x≤2π.

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for co, and DNE if the limit does…

A: