2. 2 ydx + x(x² In y-1)dy=0

Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

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Q: dx S x² √√16-(x-3)² Let x 3 = 4sec 0 dx = 4 sec 0 tan 0 de Is the solution on the right track? If…

A: We have to find the integral.

Q: What is the triple integral that allows to calculate the volume of the = y² + ² solid Q?

A: Follow the procedure given below.

Q: Solve the following X 1.0[₁-2x] i. D ii. D[xln (2x) ] iii. D[cosx – 3 sin (2 x) ]

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Q: Determine all possible rational solutions of the polynomial equation. x³-9x² +5x-6=0 The list of all…

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Q: x1/2 dx x3/4 + 1 Let x = z8 dx = 8z7dz Is the substitution the most appropriate one? Explain your…

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Q: dy dx +y=e*

A: The standard form of the linear differential equation is; dydx+Py=Q Where, P & Q is the function…

Q: Consider the vectors. (-8, 10), (-48, 60) (a) Find the dot product of the two vectors. (b) Find the…

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Q: - A first order Bernoulli's differential equation is in the form

A: To find first order bernoulli 's differential equation is in what form.

Q: If x is the modified divisor used for Jefferson’s method, then x is always greater than standard…

A: If x is the modified divisor used for Jefferson’s method, then x is always greater than…

Q: Find a) any critical values and b) any relative extrema. f(x)=x² - 8x + 19 (...) a) Select the…

A: To find the critical values and relative maximum and relative minimum of the given function.

Q: A point on the terminal side of angle θ is given. Find the exact value of the indicated…

A: We have given x and y coordinates. We will use them to find tan thetha

Q: 4. dx +

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Q: Let be an angle in quadrant III such that cos 0 = - Find the exact values of csc and cot 0. 0./6 csc…

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Q: (d) r(π/6 + At) - r(π/6) = √3 2 cos At sin Ar-1+(cos Ar i+ At + 2 3√3 2 -sin At 1 3/-)1 2 X

A: We can solve as follows

Q: S: - V dx 2x - √x + 4 VX

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: We can solve as follows

Q: Derive the following funtion. Basic rule should be applied. y=x+ √ x

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Q: Describe the graph of the equation. r = (8-2r)i + 14tj O It is a line in 2-space through the point…

A: This is a problem related to vector calculation. Based on the general formula and concepts we will…

Q: 46. yz = ln(x + z)

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Q: For f(x) = 2x³ - 2, find ƒ '(x) using the definition f '(x) = lim f(x+h)-f(x) h h→0 f'(x) = Using…

A: Let's find.

Q: Use the given graph of the polynomial function to complete the following. a. Estimate the…

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Q: The Bernoulli's form of the differential equation x³ydx +(3x² - y³)dy=0 is

A: To determine the Bernoulli's form of the differential equation x3y dx+3x4-y3 dx=0.

Q: Solve the equations in Exercises 1-16 by the method of undetermined coefficients. y" 3y 10y = -3

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Q: * Using trigonometric substitution to evaluate: find dx √ dx, √2x²-4x-7 (3√2)/2 cosø dø O (3√2)/2…

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Q: Write the equations in cylindrical coordinates. (a) 4x² + 4y² - z² = 9 (b) 7x - y + z = 3

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Q: Find a logarithmic equation that relates y and x. (Round all numerical values to one decimal place.)…

A: Given table: x 1 2 3 4 5 6 y 0.250 1.414 3.897 8.000 13.975 22.045 To find: A logarithmic…

Q: 'ind the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Determine whether the series is convergent or divergent. If convergent, find the sum; if divergent,…

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Q: Describe the graph of the equation. r = − 17i + tj + (t²-1) k It is a parabola in the x = It is a…

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Q: In x dx = fx²dx fln x dx = (Inx-1) + C the solution correct? If your answer is yes, provide the…

A: Given query is to find the solution of the integral.

Q: Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

A: Given

Q: 3. In evaluating the integral S x² dx (x-1)²(x²+1) you will decompose x² dx (x-1)²(x²+1) into…

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Q: dy 1. = e3x+2y dx X = 8; y = 1

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Q: The approximate value of -31.8 using linear approximation, O (E) None of the choices O imaginary O…

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Q: T 1-2² (a) This is true. (b) This is false. 8. dr = arcsinz+C

A: Solution: ∫π1-x2dxTake constant out:=π·∫11-x2dx

Q: e the polynomial equation by using the root method, and check the solutions graphically. 3x³-192=0…

A: Given query is to find solution of the polynomial.

Q: √x² +16 dx

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Q: Find a power series representation for f. (Give your power series representation centered at x = 0.)…

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Q: 3) Suppose g(t) = 1/t represents the position, in meters from the starting point, of some object…

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Q: An angle's initial ray points in the 3-o'clock direction and the angle measures 0.48 radians. A…

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Q: long as 1 235 times as long 235 times as long 235 times as long 360 235 times as long 2π 360 times…

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Q: Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in…

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Q: Use synthetic division to find the quotient and the remainder. (3x4 -8x3+8x-5)÷(x-2) (3x4…

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Q: The function v(t) = t³ - 5t² + 6t, [0,5], is the velocity in m/sec of a particle moving along the…

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Q: Recall that an angle making a full rotation measures 360 degrees or 27 radians. What is the degree…

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Q: ∫√(1+2sin3x) (cos3x)dx

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Q: Answer the following. (a) Find an angle between 0° and 360° that is coterminal with -68°. 23л (b)…

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Q: Using trigonometric substitution to evaluate:, find dx * √x + √2-x² dx, O 3 cosø dø O 3sec^2 Ø dø O…

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

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