Describe the interval(s) on which the function is continuous. (TX) f(x) = sec

Q: Classify the discontinuity in the following function. f(x) = 9x 89 -2x + 25 - if x 9 о The function…

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Q: Use the comparison test (sometimes called the direct comparison test) to determine if the series n=1…

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Q: In 1980 the population of alligators in a particular region was estimated to be 1300. In 2007 the…

A: The Formula for Malthusian Law is given below:In the question,population in 1980 is 1300, whereas…

Q: If f(x) = 6x² -5x +5, find f'(1). f(1) = (Simplify your answer.) ***

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Q: Find the Vertical Asymptotes and the Horizontal Asymptotes. You cannot use your calculator or any…

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Q: 2) Solve the equations for exact solutions. (a) e² - e - 12 = 0 for z

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: e^(lnx+ln5) simplify the following expression

A: e^(lnx+ln5)

Q: A population of 500 bacteria is introduced into a culture and grows in number according to the…

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Q: Compute the value of the following improper integral, if it converges. (If it diverges, enter oo if…

A: Find the value of improper integral?

Q: Consider the following parametric equations. a) Find 4 unique points on the parametric curve. Enter…

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Q: Transpose of a Matrix 2-4 B = C= NY -5 1 2 -1 8 3 -1 7 6-9 6 -9 5

A: The given matrices

Q: (x-y)y’=x+y

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Q: Find an equation of the slant asymptote. Do not sketch the curve. x² +2 x + 2 y = || f(x) =

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Q: Find the solution of the Euler equation on (0, ∞) with initial conditions x²y"-6y0, y(1) = 1, y(1) =…

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Q: Evaluate the limits. Enter DNE if the limit does not exist. a) lim g(z) = b b) lim g(x)= z-+b+ c)…

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Q: For the equation given below, evaluate y' at the point (1,1). at (1, 1) = (5x - y) + 2y³ = 258.

A: we do only first part of multiple questions. Please re post other parts.Given, we know,

Q: If lim f(x) = 5, must f be defined at x = 1? If it is, must f(1) = 5? Can anything be concluded…

A: Given the limit expression at x tends to 1.

Q: Evaluate the limit analytically (without tables or graphs), using techniques that have been shown to…

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Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x - 9x² f'(x) =…

A: The given function is The definition of derivative

Q: 19. Find lim f(x) and find lim f(x) then identify all horizontal asymptotes. b) f(x)=√x/ +2 8118 818…

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Q: Find the interest earned on $25,000 invested for 7 years at 6% interest compounded as follows. a.…

A: To find the interest earned on $25,000 invested for 7 years at 6% interest compounded as follows.(a)…

Q: Find an equation for the tangent line to the curve parametrized by x = e²t sin(πt) and 4t y = est at…

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Q: Find the constants A, B, and C such that the following piecewise function is continuous on the…

A: To find the constants A, B, and C such that the following piecewise function is continuous on the…

Q: Solve the DE y' = y sin x.

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Q: Find the surface area of revolution about the x-axis of y = 2x +1 over the interval 0 ≤ x ≤ 3

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Q: Find d²y dx² 6 y = √x

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Q: Find the limit of the sequence as n approaches infinity: 8n4 7n +6 an =

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Q: Find the unit normal vector N to r(t) = (t, cos(t)) at t = 34. (Use symbolic notation and fractions…

A: Find the unit normal vector  to  at .

Q: Find the equilibrium price and quantity for the following supply and demand functions. Demand: p =…

A: The given function Demand: Supply :

Q: The height of a bottle rocket, in meters, is given by h(t) = −3t² +47t + 600, where t is measured in…

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Q: Use the following function and its graph to answer (a) through (d) below. 6-X, X4. Let f(x)= Ay 10+…

A: if x>4 if x<4

Q: Find the value of the function at the given point. ƒ (7) -10 -5 10 5 -5 -10 Q ● o 5 10

A: The given graph

Q: Let f(x) = 9x 16+ x²

A: f(x)=−9x16+x2

Q: Find an equation of the tangent line to the curve at the point (, y()). Tangent line: = y = sin(72)…

A: The tangent line of a given curve is y-y1 = m(x-x1) Here m is the slope of the curve of a given…

Q: -6 X = -4 increasing decreasing -2 -4 relative minimum -6 (i) Identify the critical numbers of f.…

A: We have given a graph of f'(x).We have to find the critical points, monotone intervals and relative…

Q: Sketch the graph of f. Then identify the values of c for which lim f(x) exists. X →→ C f(x) = (x²,…

A: We have given,

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A: Given: To Find: (a) To find the critical numbers of .(b) To find the open intervals on which the…

Q: 4. Find the solution of the system whose augmented matrix is 1 1 202 3 4 2 1 102 2

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Q: (1) Find the domain of the functions (a) f(x)=√2-5(x-1) (b) g(x) = log (10-x²-3x) by solving a…

A: The given function(a) (b)

Q: If find f'(x). 4x(x + 2 tan(x)) sec (x) Find f'(4). 0 f(x) = 4x² tan r sec x

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Q: Consider the curve parametrized by x = t¹ + 1 and y = tổ + 4t5. dy a) Find dx dy dx in terms of t.…

A: Here we will find dy/dx on doing differentiation of x and y with respect to t,

Q: Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except…

A: We have given,   lim x -> - 1 (- 3x2 + 5x + 2)

Q: 19. Find lim f(x) and find lim f(x) then identify all horizontal asymptotes. 818 1--00 a) f(x)= b)…

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Q: Compute f 2x-1 (x-5) (3x+1)(4x-7) -dx.

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Q: Which of the following statements about the function y = f(x) graphed here are true, and which are…

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Q: X = A 9 F 2 d puly

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Q: Find an approximation of the area of region R under the graph of the function f on the interval [1,…

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Q: Find all values of c such that f is continuous on (-∞, ∞). 7-x², f(x) = { }, C = C = x ≤ c x>c…

A: Here  function is given. Now we need to find all the values of .Now we will use the definition of…

Q: Calculating derivatives. Find the derivative of the following functions. (a) y=sec x+ csc x (b)…

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