The solution of the D.E. y√√1-x² dy + x√1 – y² dx = 0 is

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A: Given query is to find the area under the curve.

Q: The radius of a sphere is measured as 6 centimeters, with a possible error of 0.025 centimeter. (a)…

A: Given the radius of the sphere is 6cm with a possible error of 0.025cm   We are required to finda.…

Q: hape of a box with a square base. It is to have a volume of 686 cubic feet. The concrete for th the…

A:

Q: If f(x) = 2x³ + 8 x² + 3, at what points are f'(x) zero or does not exist ? A B (C) 1,0 0, 0, D 0, w…

A: Given query is to find the points where derivative is zero

Q: Sketch a graph of x = -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 -5 - 2t2, y = t - 1. 1 2 3 est 4 5

A: Here is the solution.

Q: Given that g(x) = f(t) dt use part 2 of the Fundamental Theorem of Calculus to find g(x) for the…

A: ∫tndt=tn+1n+1+cg(x)=∫1x(3t2+6t)dt

Q: [Gradient Vectors] Let f(x, y, z) = x^3z − yz2 . (a) If we start at the point (1, 3, 2), then in…

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Q: Check the convergence or divergence of the following series and find the sum if the series converges

A: We have to find if the given series converges.

Q: Suppose Evaluate each of the following limits: (a) (c) lim f(x) = -3, x-a lim f(x)]² lim /h(x) x-a…

A: given  limx→af(x)=-3limx→ag(x)=0 and limx→ah(x)=8accorging to bartleby guide line we do only first…

Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given interval and find…

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Q: D Question 13 The sum of two numbers is b. If the product of one number and the other number raised…

A: We will find the required.

Q: Use the Fundamental Theorem to evaluate the definite integral exactly. 1," 16 5 Enter the exact…

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Q: 2. If cos a = sin ß = ²³, P(a) € QI, P(ß) € QIII, find the following: c. sin(2a) (* e. sin (2) b.…

A: Note  :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 21. Σ (2n)! n=0 (3) n

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Q: Find the curve in the xy-plane that passes through the point (4,6) and whose slope at each point is…

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Q: Suppose f is continuous on [5,18] and '14 3) [1²₁ /14 (a) 5 (b) 1) fort f(t) dt = 18 (c) √ ¹8: (d)…

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Q: lim cos TX x→1

A: Given query is to find indicated limit.

Q: The graph on the next page shows the velocity v(t) of a runner in metres as a function of time t in…

A: Aim: We need to underestimate and overestimate the distance covered by the runner in first 5…

Q: 1 Solve for the differential of y when y=sin (1x). x= 3 and dx = N|H

A: The given function y=sinπx. We have to find the value of the differential dy, when x=13 and dx=12.

Q: Use the Ratio Test to determine if the series converges. 80 7(k!)² Σ 4(2k)! k=1 Select the correct…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute k+1…

Q: Coefficients Linear in two variables. Find a general solution of the differential equation (y - 4x -…

A: We know  ∫xdx/(x²+1)= (ln|x²+1|)/2  ∫dx/(x²+1)= tan-1(x) or arctan(x) Given differential equation,…

Q: Rewrite the following in terms of a single logarithm: - log(x+2) - 3 log(x) − 5 log(x² + 1)

A: We are required to write the given expression  log(x+2)-3logx-5log(x2+1) in terms of a single…

Q: Evaluate the function y = 2x2+2 / sqrt(x) between x=3 and x=5 using the fundamental theorem of…

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Q: 17. 8 Σ n=1 (−1)" x" na η

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Q: Prove that the inverse hyperbolic function can be written in terms of logarithms: cosh¹x =…

A: We have to prove that cosh-1x=lnx+x2-1 for x≥1.

Q: Find an antiderivative of the following function. f(x) = x6 An antiderivative is

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Q: 2x - 7 lim X→2+ x - 2

A: To find the given one sided limit

Q: 2 (√x² + y²) [2x − (x² + y²)]

A:

Q: Set up an integral that represents the length of the part of the parametric curve shown in the…

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Q: Find the arclength of the curve X ㅠ = 6 cos (5t), y = 6 sin(5t) with 0 ≤ t ≤ 10

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Q: 1. A = 42°, B = 23°, and c = 15.

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: raph to atch the description given. g(x) has a negative derivative over (-0,3) and a positive…

A: Graph

Q: What amount must be set aside now to generate payments of $30,000 at the beginning of each year for…

A: We are required to find Amount that must be set aside now to generate payments of $30,000 at the…

Q: Find the equation of the line tangent to y = -3x² + 3x + 2 at x = -1. Oy=9x−1 y=-62-5 Oy=9z+5 y =…

A: given y=-3x2+3x+2 at x=-1standard form is  y=mx+cwhere m is slope of line m=dydxdxndx=nxn-1

Q: 1. y = sin 4x 2. y = cos 5x 3. y = sin x

A:

Q: Use sigma notation to write the sum. 1 5(4) Σ i = 1 + 2 5(5) + 3 5(6) + + 10 5(13)

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Q: If f(x)=(², what is f'(-1)? (Note: Round your answer to the nearest integer.)

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Q: 1. Bernoulli's Equation. Find a particular solution of the differential equation y^2dx + (2xy -…

A: solution is below.

Q: A circle has a radius of 5 cm. If the radius is increased by 0.1 mm.. what is the estimated increase…

A: Given query is to find the Increase in area.

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: we need to find out the local maxima, local minima, absolute maxima, absolute minima and inflection…

Q: Use the Limit Comparison Test to determine convergence or divergence. 0.0013 n+2 n=1 Select the…

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Q: The first derivative of a continuous function y = f(x) is y' = (12x - 10x²) (3-x)². Find y' and then…

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Q: Let u = -3) and v=(5, -2) and w= = (-6, -4). Fin (2, -3)

A: Givenu=2,-3,v=(5,-2),w=(-6,-4) The objective is to find the angle between the vectors 6) angle…

Q: 6.7 Find the unique number which is equal to its half plus 1.

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Q: For the following function f, find the antiderivative F that satisfies the given condition. f(v) = s…

A: Introduction: A function whose derivative is f is said to be an anti-derivative of f. In other…

Q: tion true, or explain why it does not exist. (1 + c)" =2

A: NOTE: Refresh your page if you can't see any equations. .

Q: I. SOLVE THE following Linear D.E. Adx + xtany dy=sinaydy

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Q: Solve the given LDE using the method of variation of parameters. D²+1|y=cscx

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Q: S.S. X x Arcsin y 4 yª dydx

A: Reverse order

Q: Evaluate the integral of the following tabular data with the trapezoidal rule by-hand. X 0 2 F(X)…

A: To evaluate the value of integral.