Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

Q: dy Q7. Find y" from the equation dr? %3D ry – y = x. (HINT: First differentiate both sides of the…

A: Let us consider the equation, ax+by=x By Implicit differentiation we get, a+bdydx=1

Q: n=1 Vn+1 yn +2 Determine if the series converges or diverges. If the series converges, find its sum.…

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Q: Test the series for convergence or divergence. (-1)"-1 T"

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Q: Part I х2-9 1. lim х>з х-3 х2+5х-6 2. lim X→1 х2—1

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Q: Find the flux of the vector field F(x, y, z) = across the surface S, where S is the part of the…

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Q: e dxdy is e dydx. The reverse order of False O True O

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Q: sinx So Sa* y dy dx fi dx dy 3. 4-

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Q: Determine if the following statements are true or false. (a) A square matrix has an inverse if the…

A: Here,   We have given some statements about matrix now we have to determine whether they are true or…

Q: Question For the functionf(x) given below, evaluate lim f(xr) and lim f(x). X00 X--00 V3x + 1 -3x -…

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Q: x – 2 Let g(x) x + 3 (a) Find the third degree Maclaurin polynomial of g. (b) Approximate g(0.2)…

A: Solving

Q: (-1)" Given: In(1 + x) = if x < 1. n + 1 n=0 (-1)" (n +2) Σ 4. Compute the exact value of 2n+1(n +…

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Q: de Evaluate: J æ/9a2 + 4 A f (x) = 9x2 + 4 + 2 In +C 3x (B f (x) = -2 ln V9x2 + 4 + 2 +C 3x © f (x)…

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Q: 56. ● Cost Equations The cost y (in cents) of producing x gallons of Ectoplasm hair gel is given by…

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Q: Evaluate the indefinite integral as an infinite series. 1 13. COS X dx x2

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Q: 1 3. f(x) = x - 2 at x = 2 %3|

A: In this question we have to determine the function is continuous.

Q: y2 = 20x О А. (5,0), х - -5, у-аxis В. (5,5), х%3D5, х-аxis С. (5,0), х%3D — 5, х-аxis D. (0,5), y…

A: Given query is to find the the focus , directrix and symmetry for the parabola.

Q: Find the graph of the following ellipse. Identify the domain, range, center, vertices, endpoints of…

A: Given:      x225+y216=1

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: The following students U= {Hepburn, Dames, Cooper, Rolle, Hanna, Smith, Bain} were classified in the…

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Q: Solve y + 4xly = x°, y(1) = -6. (a) Identify the integrating factor, a(x). a(x) =| (b) Find the…

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Q: 2. The projected rate of increase in enrollment in a new college is estimated by the expression dE =…

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f has zeros at 1 and 3. Show that…

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Q: Solve triangle ABC if a = 5 ft, b = 6 ft, and A = 35 degrees

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Q: 3. f(x) = A. x = 0 B. x = 1

A: We know that a function is continuous at x=a if limx→a-f(x)=limx→a+f(x) =f(a) The function f is…

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Q: 109 109 Suppose that > a; = -13 and > bị = 16. Comp i=1 i=1 the sum. 109 2 (8a; + 24b;)

A: ∑i=1109(8ai+24bi)=∑i=1109 8ai+∑i=1109 24bi=8∑i=1109 ai+24 ∑i=1109 bi

Q: We want to use the Basic Comparison Test (sometimes called the Direct Comparison Test or just the…

A: We have to find if first series converges.

Q: 2) A cuboid has a square base of side x cm. The height of the cuboid is ½ times the length of the…

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Q: Salve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y=…

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Q: Find all values of x in the interval [0, 27] that satisfy the equation. (Enter your answers as a…

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Q: What is the slope of the line 0 = T? (Use decimal notation. Give your answer to three decimal…

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Q: Determine the period of the following periodical functions. i. sec x ii. cosec x ii. cot x iv. sin…

A: Take the help of period of the functions Sinx, Cosx and Tanx.

Q: please answer the following asap Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1…

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Q: The price-earnings ratio of a stock is given by R(P,E) = E where P is the price of the stock and E…

A: Price P = $28.46 earning E = $1.03 price-earning ratio = P/E = 28.46/1.03 = 27.63

Q: 9. f(x) = cOs x, a =

A: Follow the procedure given below.

Q: Jse the Substitution Method to evaluate the definite integral. * (In x)* dx

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Q: 4. A- and B- what is A.B. 3. h It

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Q: Perform the indicated multiplication if possible. (Enter NONE in any unused answer blanks. If the…

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Q: Question The statement below is of the form f(x) dx = F(x) + C. Find f(x). rco) dx = 2x* + 3x* + 4x…

A: Use derivative for finding the value of f(x)

Q: a) Sketch a possible graph of a rational function which satisfies the following conditions: A…

A: We will sketch the graph of a rational function which satisfies the conditions:∙At least two local…

Q: X Your answer is incorrect. Edit Find the vectors that satisfy the stated conditions. NOTE: Enter…

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Q: Consider the IVP: x" + 3x' +2x = 4t2 ; x(0) = 0, x'(0) = 0.

A: Given,  x''+3x'+2x=4t2, x(0)=x'(0)=0

Q: 2. 52 Calculate the determinant for 2 3

A: As we know that, If the given matrix is A=abcdefghi then the determinant of the matrix is:…

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Q: 3. Let u =x² – 2xy+2y' with x = s´ · Int and y = 2s ·t° . au au and at Find as

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Q: If a power series cn(x + 3)^n converges conditionally when x = 3, find the radius of convergence.…

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Q: "0. Mixture Problem A biologist has two brine solutions, one containing 5% salt and another…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: (z*+2z)* Find dy/dx, given the following: y = /2r-4 (+2)* 3(3z*+2)(=*+2=)* V (2z-4) (+22)* (…

A: Here, y=x3+2x32x-4...(1)

Q: 1. Which of the following statements is true? (A) The series (-1)"+1, diverges by the alternating…

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