dx f(x) g(x)]-

Q: find the limit if it exists, or show that it does not exist.  lim (x,y)→(0,0) (x^4 −y^4)/x^2+y^2

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Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

A: f(x)=−x3+27x−58Using the power Ruleddxxn=nxn−1

Q: Use the Ratio Test to determine the convergence or divergence of the series. Step 1 Step 2 6 Recall…

A: By using the Ratio Test to determine the convergence or divergence of the following series.

Q: 6. A particle moving with the velocity function v(t) = t²-3t+2,0 ≤ t ≤ 4. Find (i) the net distance…

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Q: Compute the indicated quantity using the following data. 15 17 sin α = cos B cos e (a) (b) = 7 25…

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Q: 19. Use Newton's Method to estimate the one real root of f(x)=x²+2x-2. Start with x = 1, and perform…

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Q: Find the areas of the shaded regions in

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Q: A cone is designed to have a radius of 6 cm and a height of 9 cm, but the radius and height are off…

A: Radius= 6 cmHeight= 9 cmChange in radius is 0.03Change in height is -0.06

Q: Start with the geometric series (1) Σ nx", lx| < 1 n = 1 (a) Find the sum of the series nx-1, |x| <…

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Q: f(x) = 3x² (x - 2)²

A: f(x)=3x2(x−2)2We know that the Mclaurin series of 11−x11−x=∑n=0∞xn

Q: Simplify the following rational expression. State the domain restrictions: a) b) x³-8 2x3-8a 9-x²…

A: Given two rational functionsand,.We need to find the domain restrictions.

Q: y = sin x y = -cos x

A: 12.The region is bounded by the curves  and .The aim is to find the area of the bounded…

Q: Can you please answer question e and g?

A: e) From the graph it is clear that:LHL = Left hand limit at x=3: limx→3− f(x) = -4RHL= Right hand…

Q: Find the area of the region that lies above the x-axis, below the curve x = =t² + 5t+3, y = e with 0…

A: Given that the region that lies above the x axis, below the curve  with

Q: fum of a cide wing Voled vp TH A dx TRIGONOMBTC SUTION Ja-yX-4 dx-aast de Ja². (asing)" (acest do)…

A: We need to dirve the formula of area of circle

Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

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Q: ↑ X The amount of plutonium remaining from 1 kilogram after x years is given by the function W(x) =…

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Q: At which of the value(s) of x below does f(x) = ²³² +5x² + 25x + 1 have a horizontal tangent line? O…

A: Given that, the function is .We need to find the value of x for which the given function has a…

Q: Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)…

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Q: Find the arclength of the curve x = -t³. 123 1²³, y = 2/1/1² t² with 2 ≤ t ≤7.

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Q: 21. A window is composed of a rectangle with a semicircle above. If the perimeter is 16.0 m, what…

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Q: Evaluate the limit lim x →0 O -1 1 18 1 9 √81-x-9 X

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Q: Simplify the following complex fraction; State the domain restriction: 1 X|N 2 1 1 X 1 -

A: To simplify the following complex fraction. To state the domain restriction.

Q: 9. The angular displacement of a spinning shaft is given as = 0.7t² - 5t+3, where is in radians and…

A: Given that the angular displacement of spinning shaft is where  is in radians and t is in seconds

Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

A: The given complex number is

Q: (a) Evaluate the integral: S = 16 x² + 4 dx Your answer should be in the form k, where k is an…

A: Since you have posted multiple questions we will provide the solution only to the first question as…

Q: height (feet) of an object moving vertically is given by s= - 16t² +288t+216, where t is in seconds.…

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Q: D. Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

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Q: .2 x²+1 lim x-∞ x²-1 X-

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Suppose limx→cf(x) = 5 and limx→cg(x) = -2. Find: a. limx→cf(x)g(x) b. limx→c2f (x) g(x) c. limx→c…

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Q: Evaluate the integral. 1 2 (6x-2-6) dx (6x2-6) dx = (6x² 2 (Type an exact answer in simplified…

A: To evaluate the following integral.

Q: Betty's Bathtub company produces two types of tubs: the Jazzy Jets model and the Double Dip model.…

A: We have to find the price of Jazzy Jets model and Double Dip model.

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: x=t7+1,y=t8+t;t=−1x(−1)=−1+1=0y(−1)=1−1=0(x0,y0)=(0,0)Using the power Ruleddxxn=nxn−1

Q: 2 T If f sin (3 x) sin (n x) dx = π, then n = 0 Number

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Q: The legs of an isosceles right triangle increase in length at a rate of 3 m/s.   Part A At what rate…

A: The legs of an isosceles right triangle increase in length at a rate of 3 m/s.Part A:To find the…

Q: 9. Two buses are driving along parallel freeways that are 5 mi apart, one heading east and the other…

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Q: A = 90°, b =6, c = 8

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Q: -(-²-) - and the point P(-3,0), which lies on the graph of f(x), determine the equation of the…

A: Given the function  and the point , which lies on the graph of , then to determine the equation of…

Q: What is the Rank of the following matrix? 325 65 13 30-1 OA.O OB. 1 OC.2 OD.3 QUESTION 2 Fill in the…

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Q: Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

A: The right circular cylinder is inscribed in a sphere of radius .The aim is to find the greatest…

Q: Combine the integrals L 19 if (6² 1 (3x3-4x²+6x-2) dx + 7 1 into one integral 2 (6x4–3x³ + 10x²+ 8x…

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Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 4 ft/min.…

A: A circle has an initial radius of 50 ftr=50 ftRadius begins decreasing at the rate of 4…

Q: Find the derivative of the function. y = 7x-6 8x+3

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Q: Consider the following graph of f (x). Which of the following are inflection points of f (x)? -3 O…

A: We have to find the coordinates of the inflection points from the given graph of function.Let's…

Q: Use the information given below to find sin(a-B). tan a = with a in quadrant 1 12 5' sinB =15, with…

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Q: In Problems 1-8, find the eigenvalues and eigenvectors of given matrix. 1. 3. [2 7. 2 2 100 5. 002 0…

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Q: Compute the matrix exponential eAt for the following system x' = Ax. x₁ = 2x₁ + 2x₂, x 2 = 2x₁ + 5x₂…

A: We have to find the matrix exponential for the given system.

Q: Determine whether the graph is that of a function. If it is, use the graph to find its domain and…

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Q: Sketch the graph of ONE function that satisfies, ALL of the following conditions. Label ALL…

A: The given condition to draw a graph of function

Q: Evaluate the indefinite integral as an infinite series. | arctan(x3) dx ]) + c C ( n = 0

A: The given integral .The aim is to solve the indefinite integral as an infinite series.