Evaluate the following one-sided limit. lim z+1 (z − 1)(z + 4) |z − 1| =Number

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A: The graph of the given quadratic function is:

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Q: 6) 3x² = 7x + 20 -3x²-3x²

A: given information

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A: Evaluate ∫1∞1(x−1)2dx

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Q: Evaluate the limit of the given indeterminate quotient. lim x→0 (√²+2-1). Number

A: given limit

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A: Given,  h(x)=f(g(x))

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A: We have to fill the blanks using the given two graphs.

Q: Evaluate the following limits. x lim x 5 x 5 lim x+5+x-5 I x lim x 5 x 5 P HOT

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Q: Find the following using the table below. 1 23 4 1 13 3 3 X f(x) 2 4 f'(x) 14 4 2 g(x) 3 4 2 1 g'(x)…

A: given function

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Q: The following figure shows the graph of f and a line tangent to the graph of f at x = 6 . Find f(6)…

A: The following figure shows the graph of f and a line tangent to the graph of f at x = 6.We find f(6)…

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Q: 84. x = e¹ sin t, y = e' cos t; 0 ≤ t ≤ 2π

A: As we know The arc length of the parametric curve (x(t), y(t)) over the interval [a,b] is

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Q: Now, evaluate each of the following limits.

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Q: In 1980 the population of alligators in a particular region was estimated to be 1600. In 2007 the…

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Q: -X

A: Given graph of function

Q: Let r(t) = (-5t³ – 1, t² + 5t³, 3t²). Find the line (L) tangent to (t) at the point (39, -36, 12)

A: r→(t)=⟨−5t3−1,t2+5t3,3t2⟩Find the line (L) tangent to r→(t) at the point (39,−36,12)

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A: Given point (1,k,4) is on plane.plane  is

Q: Suppose a product's revenue function is given by R(q) = -7q² + 600g, where R(q) is in dollars and q…

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Q: |u| = 7, |v|= 3 and u⚫v = 4. Find |2u + vl. Find lu - 3vl. Find λER such that (u - λv) Lv.

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Q: Given that f(x)=5x2−3x−4 and g(x)=x+2 ,find f g(x)) .

A: f(x+2) = 5 - 3(x+2) - 4          = 5( + 4x + 4) - 3x - 6 -4         = 5 + 17x + 20  - 10

Q: If g is the function defined by g (x) = 2cos²x-1 , then lim g (x) is equivalent to which of the…

A: given function to find Limit

Q: 20. (1.4.2) Use the Law of Exponents to rewrite and simplify the expression. a) 83 b) x(3x²)³)

A: a) 84/3b) x(3x23

Q: 18. If three planes intersect in a point then the triple scalar product of their normal 19. In…

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Q: 4. (x² - y²) = xy dy dx

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Q: Set up and solve a first order IVP to solve the mixture problem. A tank is filled with 100 gallons…

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A: We have to find the work required to pump all the water out of a cylinder.

Q: Find the derivative of the function. 1 f(x) = 3/5x² - 6

A: Given, derivtives formulas

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Q: Suppose that y = f(x) is a differentiable function for which the following information is known:…

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Q: Evaluate the limit sin 3x 8x lim x→0

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Q: 2. Sketch the graph of the piecewise defined function x² for x 0 Evaluate f(5), f(0), f (-3). g(x)…

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Q: Find the general solution of the differential equation. 16y(4) y(x) = = y

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