Evaluate lim x-2+ 2x + [2x] x² + x - 2 and lim x-2- 2x + [2- X x² + x - 2

Q: In the following exercises, compute the antiderivative using appropriate substitutions, and state…

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Q: Refer to the graph of y=f(x)=x² + x shown. a) Find the slope of the secant line joining (-3, f(-3))…

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A: We can find the Range of the function .

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Q: Find an equation of a plane containing the line r = (0, 4, 4) +t(6, -4, 2) which is parallel to the…

A: Given line equaltions:- r=0,4,4+t6,-4,2 Let b→ is vector in which given line directed ⇒b→=6,-4,2 and…

Q: sec² (In x) cos(lnx) x S dx

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Q: 1. f(x) = 4x² -5x

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Q: Let p(t) represent the population of a major city t years after 1950, as shown in the table and…

A: The population of city after 1950 is given as , Year 1950 1960 1970 1980 1990 2000 t 0 10 20 30…

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Q: 1

A: Given At=te-kt

Q: a coordinate line, where s is in feet and t is in seconds. s(t)= t³-15t², t20 (a) Find the velocity…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: 3. Given the function f(x) = (x²-1)/(x-1), determine if the function is continuous or not for all…

A: Given :fx=x2-1x-1

Q: Find the equation of a plane that is perpendicular to the vector 57- 2j+ kand passing through the…

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Q: If g(x) = cos(x) then g'(x) = = g'(3) =

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Q: Consider the function y = f(x) = x² + 4x + 4 and the x-value xo 8. (a) Find a formula for the slope…

A: Topic- slope of a tangent line we are given a function, f(x)=x2+4x+4 and x0=8

Q: For the equations below, q is the total number of units produced per day by m employees of a…

A: Given: q=500m-m250=10m-m250 ;p=-0.3q+80  =-0.3×10m-m250+80  =-310×10m-m250+80  =-3m+3m2500+80…

Q: Find the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter…

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Q: Find values of cl and c2 so that the given functions will satisfy the prescribed initial conditions.…

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Q: 45. a¹ + a²2=0

A: Find roots

Q: (dz) dt If (z=x. y), where x = cos (t) and y = sin (t) Q3. Use the chain rule method to find

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Q: Use the vertical line test to determine whether or not the graph is a graph in which y is a function…

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Q: please solve   401,411

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Pl-8] state the order, degree & Linear/ non-Linear DE. and identify as form, differential form? Q1…

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Q: 1. Find an equation for the set of points whose distance from the point (1, 2, 4) is the same as the…

A: Solution is done in step 2

Q: Find the equation of the tangent line to the curve y=8sinx at the point (π/6,4). The equation of…

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Q: Given that f(x) = x² - 9x and g(x) = x -9, find: a) (fog)(3)- b) (gof)(3)=

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Q: The following information is given about the function 9 (*): lim, 8- g(x) = 5 lim 8+ g(x) = 5 X- g…

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Q: Find the limit of the following. lim 0/6 lim 9/¹ 0 sin 9- 0 0- sin 0- T 6 1 2 T 6 1 2 ...

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Q: Part B: ALGEBRAICALLY find the value of "k" that would make the function continuous Upload a picture…

A: Here we have given a continuous function: f(x)=kx2       : x≥2kx+14 :  x<2 If the given function…

Q: hi isn't f(-4), not f(4)?

A: we can solve it by the observation of graph.

Q: Find the differential equation of families of straight lines with slope and x - intercept equal. a.…

A: To find differential equation with given conditions.

Q: 6S-4 Q4/A: 1- L-1. 52-48+16 B: Fit a second order polynomials to the data in the following: X 5 6 Y…

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Q: Find the slope of the graph of the function at the given point. (If an answer is undefined, enter…

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Q: B: Evaluate the following: 2- 6r (5.66) 5r (0.66)

A: Γ(5.66)=67.905 Γ(0.66)=1.366

Q: If f(x) = ƒ'(x) = 4x(sin cosx), find

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Q: fxsinxdx

A: Given :∫xsinxdx

Q: Find the 53th The answer is function derivative of the function f(x) = cos(x).

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Q: If ƒ(t) = (t² + 2t + 4) (7t² + 6), find ƒ´(t). Find f '(5).

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Q: = Find two unit vectors orthogonal to both u = (3, -3, - 4) and 7 values (no decimals). Separate the…

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Q: Given f (x) below, select ALL of the true statements. lim-4+ f (x) = 1 lim, 4 f (x) = 1 lim,-4-f(x)…

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Q: Find the solution of the DE y' a. x³ -x-3y-lny³ = 21 b. x³ - 3x - 3y - Iny³ = 21 c. x³ 3x-3y-lny³ =…

A: to find out the correct answer.

Q: 5. 2w² - 5w+ 11 = 0 6. 7q²-3q + 1 = 0

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Q: Find an equation of a plane passing through the point (6, 1, 2) and containing the line of…

A: Given planes:- P1:x-y-z=0P2:2x+y-2z=-3

Q: Find the solution of the differential equation dt A. y = 0 B. y = 2 C. y = 2t D. y = -3t E. y = t²

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Q: 4. y= x+1 X

A: Note: Since the student has mentioned to solve only question no. (4), so we are solving accordingly…

Q: Find a value of h for which y 3.0 2.5 2.0 1.5 1.0- 0.5 0.5 ƒ(2 + h) − ƒ(2) h 1.0 1.5 = 0. f(x) 2.0…

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Q: At what exact point on the curve y = 5 + 2e^x - 4x is the tangent line parallel to the line 4x - y =…

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