Use the graph of f to find the largest open interval on which f is increasing, and the largest open interval on which f is decreasing. (Enter your answers using interval notation.) y 10 8 6 4 2 2 4 6 8 10 X

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

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find f'(x). f(x) = − 15 In x + 7x² - 10 f'(x) =

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Q: verify that the two planes are parallel, and find the distance between the planes. (Round your…

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Q: Models yerHomework.aspx?homeworkId=634767019&questionId=3&flushed=false&cid=7 VRF atic Models Farmer…

A: Topic- Application of derivatives We are given, Length of fencing available=8000 meters

Q: Find an equation of the level curve of the function h(x, y) = 3 – x² - y² that passes through the…

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Q: Graph the feasible region for the follow system of inequalities by drawing a polygon around the…

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Q: Evaluate the integral. 9 [² √x dx

A: Topic- Definite integration we are given ∫49xdxwe know that∫xndx=xn+1n+1+C

Q: Question Using the limit comparison test with a comparison series of 1 determine if the series below…

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Q: Consider the integral (a) Find the Riemann sum for this integral using right endpoints and n = 3.…

A: Here we have to use riemann sum.

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 13…

A: Topic- Equation of tangent line on a curve. we are given, f(x) =13ex+3x  ;x=0we know that equation…

Q: II. Evaluate the following functions at the given value(s) of the variable. Show your c solution on…

A: Topic:- algebra and function

Q: Use the method of undetermined coefficients to solve the given equation. dy dx y +2→=5;2 X

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Q: The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center…

A: Let's find given function is continuous or not.

Q: Find all points (x,y) on the graph of f(x) = 2x² - 5x with tangent lines parallel to the line…

A: Given query is to find the point where tangent line is parallel to given line.

Q: If - xy + y = -4 then find point (2, 4) in simplest form. dy dx² at the

A: We need to find out the double derivative of the function at (2, 4).

Q: Evaluate IdA dA, where R is the region in the first quadrant bounded by y2-x3 and the line y=x. R O…

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Q: 6 Given f(x, y) = x + fxx (x, y) = fay(x, y) = + 3xy5 - 5y², find 3x

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

Q: dy If −5x² + y² = 5 then find at the point (2,-5) in simplest form. dx²

A: Given the equation: -5x^2+y^2=5

Q: For the function f(x) 4 v7-51 use the definition of the derivative to find /'(x).

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: The function is given by fx = -5xx+1 To evaluate: The derivative of the function at x=-23.

Q: Calculate R8 for f(x) = 9 - x over [3, 5]. R8

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Q: 1. Use transformations to sketch a graph of the function below. Draw each transformation separately,…

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Q: Question Determine the value of p for the series below. 2 (2) (2) 5/4 Sorry, that's incorrect. Try…

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Q: A conical tank has height 3 m and radius 2 m at the top. Water level is rising at a rate of 1.3…

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Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = -6, u'(0) = 1,…

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Q: N(t)= 250,000(.494)^t When will 10 percent of the original amount of aluminum be in use? In years

A: The given equation is: Nt=250,0000.494t To find: When will 10 percent of the original amount of…

Q: Find f'(x). f(x) = 3x - In x² f'(x) =

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Q: Find a particular solution to the differential equation y" - 1y' + 0y = -650 sin(5t) Answer: y(t)=…

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Q: A case of vintage wine appreciates in value each year, but there is also an annual storage charge.…

A: The value of a typical investment-grade wine after t years is Vt = 2000+60t-10t To evaluate: the…

Q: Let h(x, y) = 3 ln (16y² - 12x).

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Q: f(x) = 5x2 → 8x -

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.…

A: Solve the integration by using the substitution formula

Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x³ - 2x² - 4x + 5, [-1,…

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Q: The world's population grows at the rate of approximately 2 % per year. If it is assumed that the…

A: we need to find the number of years to take the world population double.

Q: The percentage y (of total personal consumption) an individual spends on food is approximately y =…

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Q: (x)=4(10x7−9x4)14   find derevative

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Q: 2 dx га =

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Q: 2. Evaluate the given differential equation and determine the general solution (xy² + y² + 1).dx +…

A: The given differential equation is; (xy2+y2+1)dx + (x2y+2xy+y)dy=0

Q: Determine whether the function f(x) is concave up or concave down at the indicated points. (a) x =…

A: We need to determine concavity.

Q: Let f(x, y) = √175 - 3x² - 4y², and evaluate ƒ(3, 0). Please show your answer to at least 4…

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Q: Given f(x, y) = = fx (x, y) = fy(x, y) = fxx (x, y) = fay(x, y) = − x5 + 4x²y² − 6y6, find

A: The objective is to solve the above question.

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 ex +…

A: Given query is to the equation of the tangent line at x = 0.

Q: Find the equation of the line tangent to the curve 2y³ + 5y + 5x² = 27 at the point (2.1).

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Q: Find f'(x). f(x) = In x² + 3 Inx f'(x) =

A: The objective is to find the derivative.

Q: Find the vertical trace of the function z(x, y) = Z= The plane below represents the plane parallel…

A: Given data:- z(x, y)=-2x+y2 for  x=-3

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D = (5/9)t2,…

A: The distance travelled by an aircraft along a runway is given by D = 59t2 The speed at which…

Q: Find the derivative of y with respect to t: y = sec¯¹ (9t5 + 8). dy dt

A: Given; y=sec-1(9t5+8).

Q: A price pp (in dollars) and demand xx for a product are related by 2x^2-14xp+50p^2=6600 If the…

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Q: I. Evaluate x² +6 12 x³ + 3x dx.

A: Given, Evaluate ∫x2+6x3+3xdx

Q: Suppose that the relationship between the tax rate ton imported shoes and the total sales S (in…

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