Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible. Assume that represent positive real numbers. 3. logs %3D 2. yz

Q: 8. Using any work found in Question 7, determine the 3x (x? - 5)° dx a.

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Q: 12 d t°dt = Using Part I of the Fundamental Theorem of Calculus, evaluate: dr %3D

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(3,…

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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: Consider the function f(x)=4x^2−10x^7 Let F(x) be the antiderivative of f(x) with F(1)=0 Then F(x)=

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

A: Let's find.

Q: Consider the function f(x)=4/x^2−10/x^7 Let F(x) be the antiderivative of f(x) with F(1)=0 Then…

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Q: 4. y = Vx, x = 0 , y = 2 , revolved at y axis %3D

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Q: Find the second degree Taylor polynomial of g(x) = 1– 3x about 3, then use it to approx- imate the…

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Q: Solve the system by using the inverse of the coefficient matrix. X+y+z =1 3x + 4y – z =1 2x - y-z =3…

A: Let A be the coefficient matrix of the system.So,A=11134-12-1-1AX=BX=A-1Bwhere X=xyz, B=113

Q: 3" Use the Ratio Test to determine whether the series is convergent or divergent. En=1 (2n)!

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Determne, whether the follawing vector fielbdo are canservative. If they are, find poential…

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Q: Solve the following differential equation: y′′−3y′−10y=0; y=1,y′=10 at x=0

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Q: Let B and F be the following matrices. 3 -1 7 6 2 0 B = -9 -4 -10 9 -3 5 -9 -1 7 2 F = –10 0 -9 -5…

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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…

A: Given

Q: Given y = Vx – 2/x – 2; Find y'. O (E) None of the choices Vz-2-1 y = 2/(z-2)(x–2/z-2) VI-2–1 2(x-2)…

A: Given: y=x-2x-2   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: Calculate -3 + li. Give your answer in a + bi form. In polar form, use the angle 0 < 0 < 27. a = b =

A: This question is based on conversion of rectangular form to exponential to polar form of complex…

Q: Let B and F be the following matrices. 7 -10 -3 6 -5 4 B= - 10 8 4 -1 -1 6 7 -3 F = -2 -10 -9 6 7 10…

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Q: 8. Differentiate each function. Express your answer in a simplified factored form a. f(x) = (x +…

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Q: у %3D7 — х, у —D 0, х %3D 0, revolved at х ахis 2.

A: To evaluate the volume of the solid generated by revolving the plane region about an axis.y=7-x,…

Q: [sinh(x)(x² + 7*)] dx

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Q: Does the following series converge absolutely, converge conditionally, or diverge? (-1)" Σ 3/2 +4…

A: The given series is ∑n=1∞-1n7n32+4. Note that, The series ∑n=1∞an is said to converge absolutely if…

Q: (x - 1,? (y - 4)2 OA. OB. 3D1 16 The center of the ellipse is (Type an ordered pair.) The vertices…

A: The graph is shown below:

Q: Suppose the frame has a top tube length of 52.2 centimeters, a seat tube length of 49.0 centimeters,…

A: Given Top tube = 52.2 cm Seat tube = 49 cm Seat Angle = 75.0°   We can use the cosine rule here.…

Q: Integrate x sqrt of (x+4) dx using algebraic substitution

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Q: Convert xy = 7 to an equation in polar coordinates in terms of r and 0. %3D (Express numbers in…

A: Given query is to find the the polar form.

Q: Question Evaluate the following limit using L'Hospital's rule. lim X09e - 9 18x] Provide an exact…

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Q: 2 x+1 dx J-1

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Q: 9. 8- 7- 6- 2 9-8 -7-6 -5 -4 -3-2 123456 789 -2- -3- -4- -5 -6 -7 -8 -9- 9786 654 32

A: Topic = Circle

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

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

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: f(x)=x2x2+3 That can be rewritten as: f(x)=x2+3-3x2+3=1-3x2+3

Q: Consider the series (-1)n*(3n2+n+5)/(4n3+2) = 5/2 - 3/2 + 19/32 - 7/22

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

A: We need to multiply the matrices : 4-2-3 455

Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table.…

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Q: (cotx + tanx)² dx 3 4

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Q: A mdc.blackboard.com B Content Question Completion Status: 10 20 3D 4 50 7 10 11 120 130 14 Find the…

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Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

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Q: A follasng vector fiebdo are conserva hal function. c)

A: We have to find the potential function if the given vectors are conservative vector field

Q: 3. Determine whether the following series are odd or even functions. i. f(x) = x² ii. f(x) = x³ iii.…

A: We have to determine whether the given functions are even or odd.

Q: Determine the general equation of the plane Ω passing through the point P(1,−4,−5) and parallel to…

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Q: log,p = 3- log, (p-2) %3D If there is more than one solution, separate the answers with commas.…

A: Given query is to find the value of p.

Q: The hyperbola, 36x - 49, = 1764, has vertices at. (Simplify your answer. Type an exact answer, using…

A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

Q: B. Determine the slope of the tangent line at a given value of x. 6. f(x) = x 7. f(x) = -4x3 – 2. 8.…

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Q: 4 3 1 10 15 20 25 30 35 time (sec) feet velocity (ft/sec)

A: At t=0, velocity is 1 ft/sec. At t=25, velocity is 3 ft/sec. Required distance =Final velocity -…

Q: Question The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is…

A: A=12bhDifferentiate w.r.t 't'dAdt=12hdbdt+dhdtbSubstitute h=12, dhdt=9, dbdt=5, b=4

Q: Find a plane through the points (-4,8,-8), (1,-5,-1), (-5,-1,5)

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Q: 1 Find a power series representation of a (1– x)2 * | +00 1 %3D 2 3 + 22 ' 23 b Find the sum of the…

A: The used series here is: 11-x=1+x+x2+x3+...             ...(1), -1&lt;x&lt;1

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

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