Y = x4 ³√x-3 x²+2 In(y) = In (4) + In (³√x-3) - In (x²+2) In (Y) = 4 inx + — —_ In (x-3)-m (x²+₂) 3

Q: dy Find implicitly. dx dy dx II x²e-x + 3y² - xy = 0

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Q: Let f(x) = 3x¹ ln(x) - f'(x) = 5

A: The given function is f(x)=3x4ln(x)-56x6

Q: dy Find implicitly. dx dy dx 11 x²e-x + 3y² - xy = 0

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Q: Find the maximum rate of change of f(x, y) = exy — x² at the point (1,1) and the direction in which…

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Q: The average cost for a company to produce x units of a product is given by the function A(x) = to…

A: Averahe rate of change of price from x=a to x=b is given by A'(x)=A(b)-A(a)b-a

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A: Distance between two points   ( x1 , y1)  and ( x2 , y2) is given as d=(x2-x1)2+(y2-y1)2

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A: The given demand function is: q=Dp=425-p (a) To find the elasticity.

Q: 13. A car manufacturer decides to change the price of its new luxury sedan (LS) model to increase…

A: A car manufacturer decides to change the price of its new luxary sedan IS model to increase sales.…

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A: Concept: A strip diagram, sometimes referred to as a bar model, length model, or fraction strip, is…

Q: The demand function for a certain boat company's 34 ft Sundancer yacht is p = 900 − 0.01x ln(x)…

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Q: Q1)Evaluate the integral: 1.5 csc² t - sect tan t dt

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Q: e) h(x)= x-6 x²-36

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given the following graph of r = 2 cos theta, please show what values of theta are at (2,0), (1,1),…

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Q: 6. Find the centroid of the region enclosed by y = -√√9-1² and the z-axis.

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Q: *: Solve the recurrence relation an = 7an-1 7an-1-10an-2 +16n.

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Q: Question If y(x) = 39, find y'(x). Select the correct answer below: O y'(x) = 9(392) O y'(x) = 39 In…

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Q: Find 四 dx Ix=1 if y = 7x-6*

A: y=17x-6   dxndx=nxn-1

Q: 1. (a) (b) (c) (d) Write an equation for the exponential function with base a, where a > 0. What is…

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Q: Let D be the region located to the left of y = x and below the x-axis, bounded by y = -√√14 – x².…

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Q: 1. A homogeneous function is one such that f(tx, ty) = ta f(x, y) for some a. (a) Show that f(x, y)…

A: We have to find out one part

Q: Find the volume of the largest rectangular box that can be inscribed in a sphere of radius 6.

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Q: Graph the function, h(x) = 7 - 10x. y -10 Range: O -10 -5 -5 10 -10 y 10 -10 5 Give the equation of…

A: Consider the function  h(x)=7-10x

Q: Find the equation for the plane through the point Po= (6,3,4) and normal to the vector n = 9i + 3j +…

A: We have to find the equation of plane.

Q: The half-life of gold-194 is approximately 1.61 days.   Determine a so that A(t)=A0at describes the…

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Q: Find the integral of csc^5dx using integration by parts

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Q: Find Ln, R₁, and their average for the definite integral below using the indicated value of n. 5 f…

A: Given integral:- ∫15x2+4dx

Q: Rewrite the expression without the log of a product, power or root. 106₁ (2² √/²) = logg =

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Q: Question Consider a cost function of the form Calculate MC (1,000). C(x) = Sorry, that's incorrect.…

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Q: Find the slope-intercept equation of the line that satisfies the given conditions. passes through…

A: Given query is to find the equation of the line.

Q: Consider the function f(x) = 2 − 6x², - 4 ≤ x ≤ 1. The absolute maximum value is 2 and this occurs…

A: for critical points    f'(x)=0                   dxndx=nxn-1…

Q: For f(x) = 5-x^2/3, show that f(-8) = f(8), but there is no number c in (-8,8) such that f'(c)=0.…

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Q: the implicit differentiation to determine the slope of the curve x y³ = -8 at the point (-1,2). Give…

A: Given query is to find the slope of the curve.

Q: Can someone help make a rational function from these characteristics?: Vertical asymptotes- x=-3,…

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Q: Let f(x) = 10x +3 - 3e². Then the equation of the tangent line to the graph of f(x) at the point (0,…

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Q: Prove the statement using the , & definition of a limit. lim 9 + 3x = 3 Given e > 0, we need 6…

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Q: y= (x+1)(√2x^2-1) •s= (t^2 - 4t +4)/(t^2-5t+6) 3:54 PM

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Q: Find the equations of any horizontal, slant or vertical asymptotes of the graph of 2x¹8x³ + 3x - 12…

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: Here we have to find the required function

Q: 29. Use parts to derive the formula - In │x + √√x² − 1| + C sec-¹x dx = x sec-¹x - In

A: I am attaching image so that you understand each and every step.

Q: Suppose that and y are both differentiable functions of t and are related by the equation y³ + x³ =…

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Q: (3/2)^-x +2 1. None of these 2. Increasing 3. Decreasing

A: Given query is to find function is increasing or decreasing.

Q: The measurements of the base and altitude of a triangle are found to be 75 cm and 30 cm, with…

A: Let base of the triangle = baltitude = a hypotaneous = h Given b = 75 , a = 30 db = 0.15 , da = 0.10…

Q: 7. What is the true cost per pound of a 10-pound box of oranges if the original price of the box was…

A: Given query is to find the cost per pound.

Q: Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that…

A: Function is    f(x) = cot(x/2)   interval is [п, 5π]   For Rolle's theorem, function must be…

Q: Find the extreme values of the function f on the interval [-5, 5]. If an extreme value does not…

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Q: Consider these tables of cell means. Which one shows a possible interaction, and which one does not…

A: The given table is: Table 1   B1 B2 A1 10 15 A2 20 25 Table 2   B1 B2 A1 10 25 A2…

Q: b) Has a vertical asymptote at x = -2, a horizontal asymptote at y = 0, a y-intercept at (0,2) and…

A: Please see the below picture for detailed solution.

Q: Determine formulas for the following. f(x) = x2 + 36x   (a)     f(−x) ______________________   (b)…

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Q: Let f(x) ƒ'(0) = = 2e²+3 + e².

A: Given query is to find indicated derivative.