For the following demand equation, differentiate implicitly to find dp/dx. p5 + p - 6x = 60 dp II

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

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Q: Use the following function along with its first and second derivatives to do the following: A. Find…

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Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(-1) = −2, find f'(-1). ƒ'(-1) =¯

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: • Use spherical coordinates to the evaluate the integral Sdv. whebe W W is the one eight of a sphere…

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Q: Find the minimum and maximum values of the function y = 10t - t² on [6, 10] by comparing values at…

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Q: A company can manufacture at most 200 units per month. About x units per month can be sold at the…

A: given that ,cost function  C(x)=150+4x+x2and    price  function  p(x)= 500-xthen  finding following…

Q: . lim) ㅠ 2 291) y. of mtaupt y cos y - 풋 य 품

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Q: Which of the following statements are always true? (i) All non-empty traces of a hyperboloid are…

A: SOLUTION :- Quadric Surfaces are types of surfaces can be described by second-order equations. We…

Q: Use the graph M of the derivative of f to locate the critical points zo at which has neither a local…

A: see below the answer and explanation

Q: ...t-1-prod-fleet02-xythos.content.blackboardcdn.com 1. [DA4a] Consider the function f(x) = below…

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Q: Evaluate the integral. (Use C for the c 1x² 9x x4+x² + 4 dx

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Q: the instruction says you should use miscellaneous substitution! please edit the answer

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 2. Let g(x) = arctan(x²) — ln(1 + x¹). Find the equation of the line tangent to y = g(x) at x = 1.…

A: Given:- gx=arctanx2-ln1+x4

Q: 5. Consider a unit vector u = (a,b). (a) How many unit vectors are orthogonal to u? (b) Explain a…

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Q: Question 2 Consider the following table of values: X 4 f(x) 3 4 2 1 f'(x) -5 -6 -7 11 3 g(x) 4 1 2…

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Q: Find the sum of the convergent series. 00 Σ η = 1 8 gn2 + 3n - 2

A: According to question,Given Series,∑n=1∞ 89n2+3n-2

Q: Find the maximum rate of change of f(x, y) = ln(x² + y²) at the point (2, -4) and the direction in…

A: f(x,y)=lnx2+y2point is (2,-4)maximum rate of change=∇f(x0,y0)

Q: Is it possible to answer this using factoring, conjugate or any alternative methods? If so, could…

A: To evaluate the following limit. limx→0 x+13-1x

Q: The instructio says using Miscellaneous Substitution! Please edit your answer

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Q: 9

A: Given: In order for a matrix B to be the inverse of A, both equations AB=I and BA=I must be true.

Q: Find the minimum and maximum values of the function y=-3x² + 2x - 4 on the interval [-1,4] by…

A: Given that function is y=-3x2+2x-4 on the interval -1,4. It is required to find the maximum and…

Q: If position is given by p(t) = -1² + 5t, what is the veloci v(t) at t = 2? ov(2) = 2 ov(2) = -1

A: note :- since  you have asked multiple asked questions but accoeding to bartleby  guidelines i unly…

Q: Can you minimize the work because how to work the problem is cut out of the screen. So if you could…

A: Given :- S=a+b2+4a+b-22+16a+b-42

Q: Find and the slopes of the tangent lines shown on the graph of the polar equation. (If an answer…

A: Given curve equation:- r=21-sinθ

Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

A: Given: 111101010

Q: Use the two-path test to prove that the following limit does not exist. lim xxy)-(0.0) y +x y-2x…

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Q: Use the four-step definition of the derivative to find f'(z) if f(x) = 91²-31 - 20. You may have to…

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Q: Find the critical points for the function: f(x,y) = 4x² - 8x-y + 3y ²-3xy

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Q: In this problem we show that the function lim (1,42)→(0,0) does not have a limit as (x, y) → (0,0).…

A: Given function is f(x,y)=4x-yx+y

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y" + y = f(t), y(0) = 0,…

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Q: 1/2 -1/2 4(8 + x)¹/² − x(8 + x)¯¹⁄² 8 + x

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Q: 10. Find the absolute maximum and the absolute minimum of f(x, y) = 2x² + y² + 2 over the disk D…

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Q: Find the rectangular points.  (3,-120°)

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Q: dx x√3x² + 2x - 1 - arcsin 1-x 2x +C (Hint: Let x = 1/z.)

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Q: Use the price-demand equation x = f (p) = 4800 - 4p² to determine whether demand is elastic, is…

A: Given that the price demand equation is x=fp=4800-4p2. a) It is required to determine whether the…

Q: 4. By changing the order of integration, evaluate IS rdx) a rdra parccos(y)

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Q: Find the slopes of the lines /3, and /4 in the figure below. Line 13: Line 14: 4 4 4 4₂ w X

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Q: Show whether or not the following limit exists; if it does exist, find its value. 2x³y4 x6 +2y8 lim…

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Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $29.04 per…

A: It is given that, At the price of $29·04, 180 shirts are sold and at the price of $21·84, 280 shirts…

Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

A: Given integral:- ∫sec27ttan27t1-tan27tdt

Q: d. y=191og74t e. g(x)=sin ¹(7-x) f. y = ln 1+x² xex

A: Derivative

Q: The quadratic formula allows us to find solutions to any quadratic equation.

A: Give that, the quadratic formula allows us to find solutions to any quadratic equation. We have to…

Q: 1 (x + 1)eº dx

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Q: the following theorem. Theorem If f is integrable on [a, b], then b [ºr(x) dx f(x) dx = lim f(x₁)AX…

A: Given query is to find the integral.

Q: 3. Use logarithmic differentiation to compute the derivative of the following function. -1/x² y = e…

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Q: Suppose that f(x) 13x - 3 In(x), x > 0. (If an answer does not exist, enter DNE.) (a) Find all…

A: Here we have to apply the application of differentiation.

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)= x³…

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Q: Evaluate the limit for the graph: lim f(x). X+2+ O -4 +00 0-1 01 -00 4 2 -20 -2 24 4 8

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Q: Find all the zeroes of the function f(x) = 5x³-54x² + 170x-104; given 5 + ✓ is a zero

A: Given: f(x) =5x3-54x2+170x-104 One of the zeroes of the the given function f(x) is 5+i

Q: 8.) Find the general antiderivative for each of the following functions: a.) f(x) = 3x² + b.)…

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