For the following demand function, differentiate implicitly to find dp/dx. 2 xp = 5 dp | dx 11

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A: a) 2f(x) b) f(x)+g(x) c) f(x).g(x) According to bartleby guidelines we solve only three parts.…

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Q: In each case, select the function that dominates the other as x → ∞o? (a) O 50x² (b) 0.02x³ O In(x +…

A: limx→∞0.02x350x2=limx→∞0.02x50=∞    Therefore, 0.02x3, will dominates over 50x2

Q: Find the required annual interest rate to the nearest tenth of a percent for $1400 to grow to $1500…

A: Here, we have                        Principle (P) = $1400                       Grow to (A) = $1500…

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Q: Let A = 1₂ = (a) Determine the eigenvalues X₁ and ₂ of A where X₁ <d₂. A₁ = -90-7 -35 -2 -35 14 0 12…

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Q: Find the radius of convergence, R, of the series. Σ (4x + 3) 12 1 = 1

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Q: -5 -4 -3 NO 4+ 3+ 2+ 1+ T -2+ -3+ -4+ -5+ 1 2 3 4 5x

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Q: Find a) any critical values and b) any relative extrema. g(x)=x²-3x+7

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Q: Find the average distance between points of the disk ({(r,0): 0 ≤rs 4) and the origin. The average…

A: r,θ:0≤r≤4

Q: Find three positive integers x, y, and z that satisfy the given conditions. The sum is 57, and the…

A: x, y and z are positive integers. The sum is 57. x+y+z=57 The sum of their squares is minimum.

Q: The inverse of matrix A is given. 3 2 1 1 1 2 1 2 1 A-1 Use the inverse to solve for X. 2 [-] 3 X =…

A: given inverse of the matrix A is A-1=321112121 and AX=2-13

Q: Use cylindrical coordinates. (a) Find the volume of the solid that the cylinder r = a cos θ cuts…

A: calculation of above requirement are as follows To find the volume of the solid that the cylinder r…

Q: -6 -2 TH -4 -6- 24 6 a. For which values of x is ƒ' (x) zero? Positive? Negative? What do these…

A: According to the company policy we can attempt only first three subparts so please upload the next…

Q: Express the following expression as a logarithnic term, Simplify the answer. 3/4 lox ³ 8 + 3 lncx²y)…

A: The solution is shown in step-2

Q: Consider lim et-1-t¸ t-0 6t² Does l'Hopital's rule apply? O Yes O No

A: Consider limt→0et-1-t6t2

Q: Determine if L'Hopital's rule applies in each case. (a) lim arctan(0) 0-0 30 O yes O no cot(x) x-0+…

A: On putting the limit value we will check where we will use L-Hospital's rule , on doing this we will…

Q: 6. The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate…

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Q: Solve for the following

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Q: Determine if L'Hopital's rule applies in each case. (a) lim (In(t))² t→∞ t O yes O no 3Y (b) lim y→0…

A: Here we check L’Hopital Rule apply or not

Q: -6 -4 (-3, 3) x=2 y-y² y 6 x = y²-4 y -2 -4 -6 X i

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Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest…

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. (Enter your…

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

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Q: (In x)² lim x→0+ ln (sin x)

A: Since form is inf/inf form...so use L-Hospital rule

Q: Do Homework - Section 3.6- Profile 1 - Microsoft Edge…

A: As per rule I need to solve only first three subparts.

Q: Sketch a graph that possesses the characteristics listed below. f is increasing and concave up on…

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Q: 2. A sailboat in Lake Huron is pushed by the wind along a bearing of 130° at also affecting the boat…

A: Let velocities defined by P = 30kmh at θ = 130°Q = 6kmh at α = 210°

Q: Sociologists have found that crime rates are influenced by temperature. In a town of 150,000 people,…

A: We have to differentiate given C w.r.t and put the given value as I have done in solution

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

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Q: Use P(x) = x+++x³ to answer the questions. (a) Find the x- and y-intercepts. (If an answer does not…

A: Functions

Q: Let f(x) and g(x) be continuous functions defined everywhere. Suppose the tangent line to the graph…

A: The tangent line to the graph of f(x) at x=4 is y = 1.2x-4 The value of f4 = 0 The tangent line to…

Q: Use the matrices below. Perform the indicated operation. 25 4 1 4 3 -1 2 1 -5 9 | .-| B 2 1 Find BA.…

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Q: x(In 7-2in 3)=-3ln 7-2in 3

A: The given expression xln 7-2 ln 3=-3 ln 7-2 ln 3. We have to find the value of x.

Q: Find a function f and a number a such that f(t) 2+ [19)dt = 6x²³ t7 6x-3 f(x) = a

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Q: Find the particular solution for:

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Q: f(x, y, z)= N 2 x²+y²-4

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Let g(x) = 4x4 − 1024x. Find the relative maximum and minimum values of g. Also find the intervals…

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Q: 64. x-2" In the following exercises, use the graph of the function y = g(x) shown here to find the…

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Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: Evaluate: d dxJ (21² + 5)² dt.

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Q: (a) Consider a rectangle of length L inches and width W inches. Find a formula for the perimeter of…

A: Consider a rectangle of length L inches and width W inches Find a formula for the perimeter of the…

Q: 6. If P (t) = 2 sin t, then find P(19) 2πt 3

A: given P(t)=2sintwe know  d dt(sint)=costd dt(cost)=-sint

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A: The given limit is limx→13x4-1x+3. We have to find the given limit.

Q: Determine if each of the provided functions is continuous at the specified value of 'a'. If a…

A: Given: t(x)=√(x-2) ,x&gt;=2    t(x)=x3-1 ,x&lt;2 We have to check continuity of t(x) at x=2

Q: This is incorrect

A: Please see the below picture for detailed solution.

Q: ENSURE THAT YOU TAKE NOTE OF HOW MANY ATTEMPTS ARE GIVEN FOR EACH PROBLEM ON THIS ASSIGNMENT. SOME…

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Q: QUESTION 6 Determine if the given function y = f(x) is a solution of the accompanying differential…

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