The population of a city is 125,000. If the population is declining by 3% per year, what will the population be in 12 years? In 12 years, the population will be If necessary, round to the nearest integer. Do not include units.

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Q: Consider the following revenue function, where ? is measured in dollars. R(x)=110x-0.1x^2 a. Use…

A: Consider the following revenue function, where R(x) is measured in dollars. R(x)=110x-0.1x^2 a. Use…

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A: There is more than 1 question, as per the Q&A guidelines I am answering the 1st question. If you…

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Q: 9-7 (d) xydzdydr

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A: Given query is to find the integration.

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A: Given; a→=i→+5j→-3k→, b→=3i→-2j→+k→

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Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

A: Given problem:- Describe in word all transformations involved.   y = - 3sin(180°-4x ) + 5

Q: n=5   Use taylor series to approxim. from the interval of: 0-1.5   e^(x^2)dx   Round to 4…

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Q: Determine the indefinite integral 4 √√x + 3 6x 1/0² - 1717 dx 4 X

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Q: Consider the equation cos(3t) = 0.8. Find the smallest positive solution in radians and round your…

A: We can find the answer the as below.

Q: . Write both an absolute-value and a piecewise function to represent the graph.

A: 5. Absolute function  take graph of f(x)=|x|shift graph 3 units to right and 2 units…

Q: 9-x2 dx x2 Evaluate:

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Q: Which of the following is the Taylor series expansion of the function (x) =ex? with center at 0. 00…

A: Taylor Series representation of e-x about x=0 is given by, e-x=∑n=0∞-1nxnn!....(i)

Q: 4. (- FIND the center of mass of the lamina of density p if the lamina is shaped like the region…

A: A detailed solution is given below.

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Q: Use Chain Rule to find ds given w = Vr² – 2y + z² and r = cos (st), y = -2s Int and z = s –

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Q: Q1// Find the Area bounded by: x = -y? and x = y- 2

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Q: Differentiate the following, and simplify: a) y = x'e* b) f(x) = 2" + 7** evi c) g(1) = 1+ev

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Q: . Consider the polar curves C1:r= 3 sin20 and C2 :r = 3 cose, and let R be the shaded region as…

A: r=3 sin 2θ and r=3 cos θ R is the shaded region: To Find:a. Find all points of intersection of C1…

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A: To find all the partial derivative.

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Q: The u(x) that converts the equation below into an exact equation x\dy + (2x?e" + 1) = 0 ey + y) dx…

A: Let's find.

Q: Given that ü = and i = and that üoi = 530 determine the value of the constant A. Yanıt:

A: This question is based on Dot product.

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Q: Solve the system. Give your answer as (a, y, z) 3z - y + z = 7 -2x + 2y + 3z = – 18 3z-6y + 6z = 0…

A: Use the method of elimination and find the value of x, y and z.

Q: Find the period of y=-3cos(3.7x). Round your answer to 1 decimal place.

A: " Since you have asked multiple question we will solve first one for you. Please specify question…

Q: 42. If g(0) = 0 sin 0, find g"(π/6).

A: Solve the given

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: This is a problem related to permutation and combination. Based on the general formula we will…

Q: Evaluate the integra 4 X - 5 /1

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Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 = klo

A: Polar curve

Q: write the sum in summation notation, using the given lower bound   1/2+2/3+3/4+4/5+5/6=

A: Given:  12+23+34+45+56 If we see the pattern we can say that numerator and denominator of the nth…

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A: This question can be solved using the concept of area bounded by two curves.

Q: The non-homogenous solution of the following equation by using variation of parameter method y" + y…

A: Given

Q: Use the table to evaluate the expression. 1 2 3 4 f(x) g(x) 3 1 6 3 4. (g o f)(2)

A: Here (g∘f)(2)=g(f(2))But f(2)=3(g∘f)(2)=g(3)and g(3)=6Therefore(g∘f)(2)=6

Q: 1. Find the first partial derivative of z with respect to x if x'y+ y°z+ z'x = 11.

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A: To find which discontinuity is at x=4.

Q: f(x) = -x² + +9 square units

A: Given the query is to the area bounded by the curve.

Q: gence for n! n=0

A:

Q: 2. Use the following partial graph of f(x) to answer the next question. f (x)' 10. The value of (f…

A: First we find f(x). Here f(x) is straight line which are passing through the point (4,0) and (0,6).…

Q: The amount of garbe, G produced by a city with population p is given by G = per week, andp is…

A: As per our guidelines, we can help you in solving only first problem, rest of the problems you have…

Q: +² = x² dx

A: We have to solve the given differential equation

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Q: 4n – 9 5n + 4 S - Given that sequence {an} = { (а) Show that the sequence is monotonically…

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