Differentiate. dy dx In x y= 12 X ||

Q: Given the demand function D(p) = 200 – 3p², Find the Elasticity of Demand at a price of $7 At this…

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Q: Consider the following equation. cos (y) = 27 Use implicit differentiation to determine an…

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Q: The side of a square is measured to be 10 ft, with a possible error of ± 0.4 ft. Enter the exact…

A: The side of a square is 10 ft., with a possible error of 0.4 ft.

Q: Find the area between the curves. y=x2 − 9x + 3  and  y=x2 + 9  from  x=0  to  x=6

A: The region between the curves  from The graph of region

Q: Find f. f'(t) = 8 cos t + sec²t, -π/2 < t < π/2, f(π/3) = 2

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Q: 1. Verify y(x) = c, sin x + c₂ cos x - (cos x) In(sec x + tan x) is a solution to y" + y = tanx. 2.…

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Q: Find dy clx In (sin(8x3)) a) y=(√√x2-1) In (sin( b) y = 1+ sin ² (3x)+sin 4 (3x) + sin 6 (3x)+.... +…

A: Since, you have posted multiple questions.As per guidelines we are supposed to answer only first…

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Q: 75. g(t) = 3t5 - 30t4 + 80t³ + 100

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Q: Determine if any of the lines are parallel or identical. L₁: x= 6-3t, y = -2 + 2t, z = 5 + 4t L2: x…

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Q: Use the special product formulas to perform the indicated operation. (y + 8)²

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Q: Evaluate SS x JA, R = R y² {(x₂x): 1 ≤ x ≤ 2, 4 ≤ Y ≤ 6)

A: given integration

Q: 4. Find a formula for the nth derivative f(n)(x) of f(x) = ln(1+3x). Show some work computing the…

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Q: A spherical tank with a radius of 3 meters is half-full sitting on the ground. Set up an integral…

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Q: How did you get (xe^x - integral ( e^x dx)?

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Q: 2. For what values of n does this integral converge or diverge? Show all evidentiary work for each…

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Q: Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its…

A: As we can see that the graph has two x intercepts and no y intercept as it not cross y axis other…

Q: Find formulas for dy and Ay if y = x² - 2x + 1. dy =

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Q: 2. (a) Find the slope of the tangent line to the curve f(x) = 2x³ - 3x at x = -1 using a definition…

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Q: Write each expression in the form 2 or 3x for a suitable constant k. (a) (2-x.2-5x) 6/11 (b)…

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Q: How do I prove, |3- x/3| 9 (1 - x/3x)=-2

A: If is a function and then we say  if for any  there is  such that .

Q: An office machine is purchased for $5300. Assume that its salvage value, V, in dollars, depreciates,…

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Q: In 2004, an art collector paid $155,328,000 for a particular painting. The same painting sold for…

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Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

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Q: Find dw/dr when r=4 and s=-3 if w(x,y,z)=xz+y2, x=4r+5, y=r+s and z=r-s

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Q: Find the points on the curve where the tangent pairs.) x=9-t², y = t³ - 12t (x, y) = horizontal…

A: Given, x =9-t2y = t3-12t

Q: 5x+500 A garden shop determines the demand function q = D(x) = 20x +9 the number of plants sold per…

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Q: 3. Solve the following homogeneous differential equations a. y"-4y'+4y=0

A: To solve the following homogeneous differential equation.Note: Since the student has posted multiple…

Q: 2. Does the following function satisfy the preconditions of the Mean Value Theorem on the given…

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Q: Sketch the graph y = sin(x) along with its tangent line through the point (0,0)

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Q: Differentiate y = 7x³ +6

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Q: 7. The equation of motion for a particle is s(t) = t4 – 2t³ - 20t² +20, t≥ 0 where s is in meters…

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Q: Find the mass of the one-dimensional object. A wire that is 5 ft long (starting at x = function of…

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Q: 3. A particle moves according to a law of motion s = where t is measured in seconds and s is…

A: Given:

Q: Find an upper bound error in estimating 3 [cos (3x) dx using the trapezoidal and Simpson's rule with…

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Q: Write an equation for a line parallel to y - y = 2x 3 and passing through the point (2,0)

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Q: Consider the parallelogram induced by the vectors +1-[1] and di-[222] where x is an unknown real…

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Q: 4. A suspension bridge with weight uniformly distributed along its length has twin towers that…

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Q: In 2005, a school population was 1708. By 2006 the population had grown to 1776. 1) How much did the…

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Q: Compute the result of counterclockwise rotation of a vector a = absin (a) 81 ∞as 23 by an angle = ³.

A: If a vector v is rotated counterclockwise about the origin through an angle θ then the resultant…

Q: d) How long after 1950 will the value of the painting be $6 billion? year(s) (Do not round until the…

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Q: -. Find dy and Ayat x = 8 with X he exact answers.

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Q: Find the point where the tangent line to y = 5x² at x = 0.7 crosses the x-axis. x-intercept =

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Q: (a) Let f(x) = arcsin(x). Compute the following quantities. f(1/2) = Number f'(1/2) = Number (b) Let…

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Q: Use logarithmic properties to find the exact value of log17 (175).

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Q: K Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Find r′(t), r″(t), and  r′(t) · r″(t). r(t) = (t2 + 6t)i − 3t2j

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