Evaluate each limit (a) lim(x➡️b) (x³-b³)÷(x⁶-b⁶)

Q: Evaluate the limit 4x + 9 lim x 11x²9x +9

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Q: Graph a line that is parallel to the given line. Determine the slope of the given line and the one…

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Q: Solve the radical equation. X-7=√17x+49

A: given equation to find the solution

Q: Suppose that the function fis defined for all real numbers as follows. f(x) = x+1 if x 1 Graph the…

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Q: Find the area of the shaded region. -8 x=y²-7 -6 -4 -2 y 3- 2 -2 y = 1 +y=-1 -3 x=e² 2 4 X

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Q: 0:5 Identify the graphs A (blue), B(red) and C (green) as the graphs of a function and its…

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Q: Let P denote the path parametrized by r(t) = = xy²z² Compute fp F.dr, where F(x, y, z) = x²yz² 3 sin…

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Q: 3. Find f(x) f(2) for the function x - 2 lim T→2 a. 0 b. DNE c. 24 d. 36 3x3-4-20 X-2 3 f(x) = 31³-4…

A: To find  for the function .

Q: Define f(8) in a way that extends f(s) = 3 s - 512 S s²-64 2 to be continuous at s = 8.

A: The objective of the question is to determine the value of " f(8).

Q: The total amount of consumer credit has been increasing steadily in recent years. The following…

A: The given data,YearConsumer…

Q: Find the complex conjugates for each number below. Please note that the line above the number is the…

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Q: Solve the following equation for x. 91-x=81

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Q: Given f(x) = (x − 2)³ + 1 find ƒ−¹ (x). - 1+ 2x 7+x Given h (x) = find h-¹ (x).

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Q: 20. S2² In y dy

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Q: The frame (twelve edges) of a square bottomed rectangular box will be constructed out of wire. This…

A: It is given that the total length of the wire used is L=8w+4h

Q: Find the function y₁ of t which is the solution of 100y" - 9y = 0 with initial conditions y₁ (0) =…

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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

Q: MAT 132: Calculus with Analytic Geometry truction: 1. Answer Must be handwritten with step-by-step…

A: The  term of  =

Q: Find the area of the surface generated when the given curve is rotated about the x-axis. y=10√x on…

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Q: Integrate and evaluate ["H=73-√E dx

A: The given integrals are; 1) 7/x5 - sqrt(x), x from 9 to 11.2) 9ex/4-1, x from 0 to 7.

Q: d 5-y(t)+31²y(t) = 0 5—y (1) +3 dt

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Q: Determine whether the function is continuous over the interval (-6,6)? Is the function continuous…

A: Determine whether the function shown is continuous over the interval (-6,6)?

Q: Given the tables for f & g below, find the following: x f(x) g(x) 0 1 2 3 4 5 6 7 8 9 1 3 9 8 0 4 2…

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Q: 285. 10 [(1 - cos ³0) e) cos²0 sinode

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Q: Given the series ∞ n= 3 8 n-1 Does this series converge or diverge? O converges O diverges If the…

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Q: 1. f(x) = 5-x, g(x)= x+3 Find the expressions for each of the following and state the domain: (a)…

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Q: 2. Evaluate 3 3-6zy dA where D is the region shown below. y=x² y=-x² Ans: 36

A: Here we have to evaluate the double integral where D is the region shown in the figure below.

Q: X x²-4 x-2 1. 1.9 (a) (i) lim Complete each table and then use it to estimate the limit numerically.…

A: x1.91.991.9991.999922.00012.0012.012.13.93.993.9993.999944.00014.0014.014.1As x decreases and comes…

Q: 3 Find the area of the surface generated by revolving the curve x = -Y, 0≤y≤ 1, about the y-axis. 3…

A: The area of the surface generated by revolving  the curve x = g(y), a ≤ y ≤ b about the Y - axis is…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x…

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Q: The graph of a polynomial function y = f(x), is shown at right. Identify the properties and…

A: The graph of the function is given.The aim is to find the  Relative minimum values  Relative maximum…

Q: Question Determine all intervals on which the graph of f is increasing. -6 -4 -3 -2 -1 -2 -3 -4 -6 1…

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Q: a) Find the simplified form of the difference quotient for the function f(x)=x²-3x+4. b) Complete…

A: Given Function f( x ) Simplified form of the difference quotient is given as follows

Q: x³ - 125 x² - 25 Complete the table below. If necessary, round your answers to four decimal places.…

A: Substitute x=4.9.Substitute x=4.99.Substitute x=4.999

Q: Solve the triangle. Round side lengths and angle measures to the nearest tenth when necessary. 0 0 0…

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Q: Find the solution to the boundary value problem: d'y dy dt2 Y -13- +36y= 0, y(0) = 8, y(1) = 9 dt

A: Given Boundary Value Problem

Q: 11. (Hint: Rewrite first) 1 + x 1+x² dx

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Q: 3x² - 4x + 9 s x³ + 6x² + 9x 3 Evaluate the integral using partial fractions. dx

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Q: Find the composite functions (fog) and (gof). What is the domain of each composite function?…

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Q: The following integral can be evaluated by using substitution: a) Identify the inside function. =…

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Q: Evaluate the limit: lim 8 = x→14

A: Given that       limx-->14 8 Here we have to evaluate the given limit.

Q: Find the domain and range of the function. f(x) = -7+√√x

A: Domain is like the set of all permissible inputs you can feed into a function.Range is like the set…

Q: Suppose 294 mg. of a radioactive substance are present in a closed container and additional amounts…

A: Initial amount (No)= 294 mgDecay constant (k)=-0.02308 day-1Additional amount added = 3 mg every day

Q: Let f(x) = Prove that lim f(x) = 0. x →0 sin x + sin 3x + sin 5x, if x is rational, 0, if x is…

A: We need to prove that limit is zero.

Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² - 2(x + Ax) + 2 − (x² − 2x + 2)…

A: To find

Q: Solve the following equation for x. (5X+5,5) =5 x=0 (Type an integer or a simplified fraction.)

A: given an equation

Q: [22¹ sin (2³ - 1) da

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Q: (1-x)e(x-1)² dx

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Q: 8. Calculate the double integral [²[²² yey drdy.

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Q: n=1 (-4)"-1 5"

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