In the 2000 U.S. Census, a small city had a population of 50,000. By the 2010, the population had reached 67,196. If the population grows by the same percent each year, when will the population reach 100,000? In years. (Round to nearest tenth.)

Q: that the internal of Convergence of the server 24-12-1 Z n=1 (4-3)² not is given by - √/24 x = = =…

A: Using ratio test, to find wheather series is convergent or divergent in which interval.

Q: Given f(x) = sech (x) and below is the graph. Determine the domain and range for f(x). f -1 ii)…

A: Pu

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A:

Q: 9 The slope of the function ƒ (x) = 8 - 2x is _____. -8 -2 2 8

A: here we have to find the slope of function  so we have to find dy/dx so differentiate the function

Q: Δ Ο Ο

A: Given; M=5 units , T=4 units

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A:

Q: Find the general antiderivative of f (x) = O2 ln ln 2x + C 1 O + C - 2 ln 2x O-In In 2x + C 1 O + C…

A: The function is given by fx = 4xlnx2 To evaluate: The most general antiderivative of the function.

Q: TOOTOT E) Evaluate the triple integral on the left in each of the following: (a) fffdz dx dy = 1 (b)…

A: Given problem:-

Q: What is an equation for the cosine graph shown below? -135 -90 -45 -11 -10 +9 8/ -7 -6 -5 3 2 1 45…

A: Given query is to find the cosine equation of the function.

Q: Solve the following second order differential equation, clearly showing all calculation steps d²y dy…

A:

Q: Evaluate the following integrals: 1. f (cosx- sin x) dx 2. fcot²x dx 3. f (sin x + x) dx

A:

Q: S 2 x² dx x² 2 -9

A: Given,∫x2x2-9dx

Q: 5. If f f(x) dx = 12 and f f(x) dx = 4, then all of the following must be true a. f f(x) dx = 16 ✓…

A: topic- definite integral

Q: [*³- x³ − 2x² – 3x x + 2 dx

A:

Q: (b) Show that the interval of convergence of the series n=1 sest 2-12-1 (4n-3)² is given by

A:

Q: ·Sa 20. x² dx (x − 1)(x² + 2x + 1)

A:

Q: 1- 2- 3- 3-Evaluate the integrals in Exercises: [ sect? (x - 1) dx sech² s sech Vt tanh Vt dt Vt…

A:

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: Find the curl of the following vector field: F = (z, 2y, -3x)

A: Follow the procedure given below.

Q: If 2 = (6,-5) and a = (-2,6), find |2+3.5d |. O 5√11 O √146 O 16 2√73

A: topic- vectors

Q: 1.) Use Green's Theorem to evaluate the triangle with vertices (0,0), (1,2), and (0,2). $4x² ydx +…

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Q: Sketch a graph of a polynomial function that meets all of the following conditions: 3 is a zero of…

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Q: Determine the thirteenth term in the sequence whose nth term is an= -6n a. -66 b. 19 c. -78 d. 94

A:

Q: In 23 In y SS 10 Evaluate the integral The value is. (Type an exact answer.) ₂x+y dx dy.

A: The given integral,     ∫0ln 23∫0ln yex+ydx dy

Q: Let C be any curve from (0, 0, 0) to (4, 7, 2) and define a vector field F(x, y, z) = (y cos xy, x…

A:

Q: Y = resin r sin a

A: Given

Q: -10 -9 -8 -7 -6 Component Form: v = Magnitude of v: ||v||=| Direction of V: Ov = -5 -4 -3 -2 -1 y 10…

A:

Q: Set up the integral to find the area of M, using horizontal rectangle. Let M be the region bounded…

A: In this question , we can set up the integral to find the area of M .

Q: Evaluate the integral. (Use C for the constant of integration.) ] = 5 tan(x) sec³(x) dx

A: The given integration is: ∫5tanxsec3xdx To find the value of integration.

Q: Eliminate the parameter t from the parametric equation x = 3 sint y = 3 cost 0 ≤t≤ 2π.

A:

Q: ectors u = (−8, 1) and v = (-7,-8), find the difference v- at the difference graphically in two…

A: Here I am providing my handwritten solution

Q: Let the closed interval [a, b] be the domain of function f. The domain of f(x - 3) is given by (A)…

A:

Q: 8. 9. 10. Given f(x) = cos(3x + π), find ƒ'(π) a) 0 b) -1 c) -3 If f(x) = √ex, the derivative is: a)…

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Q: Find the particular solution using the initial condition. y' sin(2y) - cos x = 0, cos x = 0, y() = 0…

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Q: y = e²x and x - 2y + 5 = 0

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Q: to onuabjanip 2+1 (-1) 7-1 Jo to - 두 + 두 Soudbranvol - 1 Prove the

A:

Q: Which of the following accurately described the parametrized surface below? O paraboloid O cone O…

A:

Q: Q5: Assuming that drag is proportional to the square of velocity, we can model the velocity of a…

A: We have to solve the problem using Euler's method.

Q: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x² - y2 = 0 is…

A:

Q: √√3+ rdr then 0 (2)=√√3+230 I X

A:

Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. √3x²+4-4 (a) lim x-2x²…

A: a) limx→23x2+4-4x2-x-2b) limx→326x2-11x+38x3-27

Q: II. Solve the following Linear differential equations of order one.  2.)    хdy + (у — ху + 2)dx

A:

Q: Find the directional derivative Duf (2,0) where, f(x, y) = xexy + y and u is the unit vector in the…

A:

Q: Evaluate the limits - im 1 lim x→-2 X

A: limit x→-2 1x3

Q: . y = x2 and x2 = y

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Let the vector v have an initial point at (2, −6) and a terminal point at (6, –4). Determine the…

A: To find out the components of vector v.

Q: Let the vector v have an initial point at (−1, 1) and a terminal point at (5, –5). Plot he vector v…

A: We have to find the component, magnitude and direction of given vector.

Q: Sketch the region bounded by the given lines and curves. Then express the region's area as an…

A:

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Jy Find the area of the inner loop of the curve r = 9 cos 0 - 4 by using double integral.

A: