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Q: Write the following expression as a sum and/or difference of logarithms. Express powers as factors.

A: Given, logb (u5 v9) with u> 0 and v> 0

Q: Determine the radius/interval of convergence for the following power series: (n+1)(2x + 1)" (2n+1)2"

A: We have given a power series;

Q: Determine the general solution to x dx/dy=4-2x3

A: since u have asked multiple question in a single request so we will be answering only first question...

Q: Let P(x0, y0) be an arbitrary point on the graph of f that f′(x0) ≠ 0, as shown in the figure. Verif...

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Q: Find the local extrema of the functionf(x)=x2+x−2x−2.

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Q: Determine whether the statement is true or false. tan−1(x) = sin-1(x)/cos-1(x)

A: Given,

Q: graph the points z = x + iy that satisfy the given conditions. 5. a. |z | = 2 6. | z - 1| = 2 7. |z ...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

Q: If a and b are positive numbers, find the maximum valueof f(x) = x a (1 - x)b, 0 ≤ x ≤ 1

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (ln x)

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Q: 1 The volume of a right circular cone of radius æ and height y is given by V = ÷ Taʼy. Suppose that ...

A: Rewrite the formula for volume and substitute the numerical value of V. Rearrange the equation, so t...

Q: Use the disk method to evaluate the volume of the solid formed by rotating the area between

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Q: Suppose y = /2x + 1 , where x and y are functions of t. (a) If dx/dt = 3, find dy/dt when x = 4. (b)...

A: Differentiating with respect to t, we get

Q: PLease solve the question as shown in attached icture.

A: Let,

Q: Suppose, f'(x)= 2 cos x+sec x, -7<x<, and it is known that and it is known that f()=4. Find the func...

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Q: please help and show work

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Q: Find dy dx given (х* + 3x — 1)° /1 – 3x³ y , by using property of logarithms.

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Q: A particle is moving with the given data. Find theposition of the particle. v (t ) = 10 sin t +3 co...

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Q: Please do not use technology on this one. Only EXACT answers are sought.(a) Calculate sin 45◦ and co...

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Q: 3 - x, x 2. y=3-x -2 a. Find lim,2- f(x), lim, 2- f(x), and f(2). b. Does lim,2 f(x) exist? If so, ...

A: Here given function Thus from the above f(2)=2

Q: Work integrals in ℝ3 Given the force field F, find the workrequired to move an object on the given c...

A: Given: Force field F = <-y, z, x> path consist of line segment joining (0,0,0) to (0,1,0) foll...

Q: Evaluate the line integral ∫Cx2yds along the segment of the line y=x from the origin up to the point...

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Q: Part 3 of 4 COS X d —CSC X + С dx To check for the result, prove that 1 - cos?x

A:

Q: 4. Determine the Riemann sum M, using the Midpoint Rule with n = 4 in order to approximate the integ...

A: According to Riemann midpoint rule:

Q: 3. Suppose the curve x = t³ – 9t, y = t+3 for 1 <t < 2 is rotated about the x-axis. Set up (but do n...

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Q: Suppose the curve y = f(x) passes through the origin and the point (1,1). Find the value of the inte...

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Q: Find a simplified expression for cos(tan^-1(r/3))

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Q: Calculus Question

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Q: Use any of the trigonometric rules we learned to solve the following integrals:

A: since u have asked multiple question in single request so we will be answering only first question.

Q: QUESTION 8 If fx) dx = 14 and [fx)« dx = 4, find O a. 14 b. 18 O C. -14 d. 10 O e. 4

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Q: Equations are given whose graphs enclose a region. Find the area of the region. (Give an exact answe...

A: Given,

Q: Suppose the relationship between the unit price p in dollars and the quantity demanded x of Solar mo...

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Q: Write out the first five terms of the sequence with, 00 In(n) determine whether the sequence converg...

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Q: Testing for conservative vector fields Determine whether thefollowing vector field is conservative (...

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Q: Express interval in set-builder notation and graph the interval on a number line. [-3, 5)

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Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places 00 Σ ...

A: We have given a sequence;

Q: Describe the interval in which the function is continous. Why? Please refer to attached image.

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Q: I want an answer of question number 2.

A: 2. Given that:Force = mg = 1600 poundsTo calculate work W required raising the elevator from ground ...

Q: ,determine the partial fraction decomposition of the given rational function. Q.3x2−2x +14/(2x −1)(x...

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Q: Find an equation describing the line passing through the point Po(1, 2, 4) in the direction v (5,-3,...

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Q: Find an equation for the conic whose graph is shown. 2 (4, 2) 2

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Q: Four feet of wire is to be used to form a square and a circle. How much of the wire should be used f...

A: We have given the length of a wire 4 ft that is used to make square and circle;

Q: Use the Integral Test to determine whether the seriesconverge or diverge. Be sure to check that the ...

A: Given series is, Draw the curve of given expression,