The population of kings landing in 2000 is 112,413 and it was increasing 1.49% per year. At that rate, when will the population be 200,000?(round to the nearest whole number)

Q: Prove the formula for 0 ≤ y ≤ π Let y = cos ¹(x). Then cos(y) = dy d dx dx (cos¯¹(x)) by by implicit…

A: solution for first question is given below ( as per answer policy only one question is allowed )

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A: Given, C(x,y)=180+18x+40y           ------  (i) Aim: Find Cx(x,y) or ∂C∂x

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A: Given data:- Water depth at low tide is 2.0 m Water depth at high tide is 12.0 m High tide occurred…

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Q: Decide if the points given in polar coordinates are the same. If they are the same, enter T. If they…

A: a) x=8cosπ3=8*12=4y=8sinπ3=832=43x=-8cos-π3=-8*12=-4y=-8sin-π3=832=43Therefore8,π3≠8,-π3

Q: 67 please

A: Let's perform a rotation of axes to eliminate the xy term.

Q: rite an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....) 6…

A: Topic:- sequence and series

Q: 13. Given the following equation for a hyperbola: -9x² + 4y2 - 72x + 24y - 144 = 0. Show your work.…

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A: Topic- functions and derivatives

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A: Topic:- application of derivatives

Q: Determine algebraically whether the given function is even, odd, or neither. h(x) = 5x 5x +8

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Q: All work must be shown to receive full credit for a correct solution. Partial credit may be given if…

A: A detailed solution is given below.

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A: Here we have to find the equation of tangent line.

Q: Evaluate the integral. √ 15x² dx (x + 1)(x² + 1)

A: To evaluate the following integral.∫15x2 dxx+1x2+1

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A: Given relation  y=x2−10x+25

Q: By partial fraction decomposition 25s = A(s² + 11) + (Bs + C)(s - 6) 2 - 5s = As² + 11A + Bs² - 6Bs…

A: Given Equation:- 2-5s=As2+11+Bs+Cs-6

Q: Find the linearization L(x) of the function at a. f(x) = sin(x),    a = pi/3

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Q: Evaluate the integral. S 15x² dx 2 (x + 1)(x² + 1) II

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Q: If f(x) = sinx, find f'(x). Find f'(4).

A: Please see the below picture for detailed solution.

Q: With f(r) and g(r) defined below, state both a formula for (fg)(x) and the domain of (fg)(x).…

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Q: Find f'in term of g' f(x) = [g(x)]³

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Q: If f(x) = (x² + 5x + 5)², then f'(x) = f'(1) = Question Help: Video

A: f'(x)=4x3+30x2+170 f'(1)=204

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Q: १) = 2 = sin dxtan x

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Q: Use the first and second derivatives to sketch the graph of the function (4-x2)5. Make sure the…

A: Given fuction is f(x)=(4-x2)5

Q: Let f(x, y, z) = 4xy – z², x = 5r cos(0), y = Use the Chain Rule to calculate the partial…

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Q: O +∞ e Sin 2xdx

A: To evaluate the following integral.∫0+∞e-x sin2x dx

Q: In Gringotts Wizarding Bank, a doubling charm is used to protect some valuable items from thievery.…

A: NOTE: Refresh your page if you can't see any equations. . the initial number of objects is a=1 and…

Q: Differentiate f(x) = f'(x) = - Submit Answer ment-Responses/submit?dep x5-x+1 x³ +8 3 Viewing Saved…

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Q: The number of cars produced when a dollars is spent on labor and y dollars is spent on capital…

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Q: 3n^3-4n^2+9n-12

A: See the answer below

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A: Given, ex=3-2x

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A: Topic = Derivative

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Q: Tutorial Exercise Use logarithmic differentiation to find the derivative of the function. y = x5…

A: Topic:- calculus

Q: Evaluate the iterated integral. 10 (8x - 12y) dy dx 10 1.1 (8x - 12y) dy dx =

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Q: a₁ = 3, r=-4, ag = ?

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Q: Simplify completely. Write your answer using positive exponents only. Assume variables rep values.…

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Q: The dimension of a box are a, a – 1, a + 4 inches, Find how fast the total surface area S increases…

A: The total surface area of a box with length l,width w and height h is given by S=2(lw+wh+hl).

Q: 3) Jim is selling sweatshirts on the quad. When he sets the price at $28 per sweatshirt, they sell…

A: Maximum revenue = $6084

Q: 1. Find the maximum value of the function z = 2x + 8y subject to the following constraints. 5x+6y ≤…

A: NOTE: Refresh your page if you can't see any equations. . subject to

Q: The current population of a certain bacteria is 4538 organisms. It is believed that bacteria's…

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Q: The value of cos x is given. Find tan x and sin x if x lies in the specified interval. 3л 2 COS X =…

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Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: We have given function  fx=x2+3x f2x-3=2x-32+32x-3 f2x-3=4x2-12x+9+6x-9 f2x-3=4x2-6x  ........(i)…

Q: For the function graphed below, complete the following. (Enter your answers using interval…

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Q: If you launch a ball into the air with an initial velocity of 54 feet per second from an initial…

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