0. Find a point on the line 3x +4y -25 =0 which is closest to the origin.

Q: Given the following functions: f(u)=tan⁡(u) and g(x)=x^8. Find: f(g(x)) = f'(u) = f'(g(x)) ...

A: The given functions,fu=tanu and g(x)=x8

Q: Find if this series is convergent or divergent and provide detailed solution.

A: This question is related to infinite series, we will solve it using given information. 

Q: Given the following matrix and its eigenvalues -2 3 has eigenvalues R, = -3 and R, = 7 3 6 1. Find t...

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Q: 15 – 2x Evaluate -dx (x- 4)(2x²– 6x +9) Then, write the coefficient of the integral: Blank 1 In|x – ...

A: Using the partial fraction to solve this integration. 

Q: Atone com emony cae phone plan tr2500. indudes 0 i pan2 pe mee tdn mi The ting tucon ges the atly t ...

A: The function representing monthly cost for a subscriber C(x)=25.000≤x≤35025.00+0.25x-350x>350 x i...

Q: 1. lim (x+5x2 – 7x + 1) x-2 ( x +4 if x<-1 if – 1<x <1 if x 21 8. lim f(x), where f (x) =3 2x + 1 IM...

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Q: JA- IF f(x) = |Vx- 4, g) x, Find fog(x) Then graph it & determine (domain ,rang Vi- 2cotx B- Granh t...

A: Find your answer below 

Q: 1 7) Find the antiderivative: S 3x2-6x+12

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Q: Find the average value of f(x) = x²/35 + æ3 on the interval [0,1]. favg %3D Report all answers accur...

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Q: e solution of the following Differential Equations 2) y"-16y 0 4) y"-y'-6y=0 6) y" - 2y' + 2y = 0

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Q: I. Use the limit of the rates as Ax approaches zero. Ax 3. y = x3

A: Given: - y=x3, the limit of rates ∆y∆x as ∆x approaches zero. To calculate: - The complete solution ...

Q: r-3 Given the functions f(x) = 3+ VT, g(x) = x- 3, h(r)= m(x) = find the following: 3x + 5° 5r -1' (...

A: According to our guidelines we can answer only three subparts and rest can be reposted.Kindly repost...

Q: Question Select your answer. Find the equation of the tangent line of f(x) = x at r = -1 y = -2x + 3...

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Q: 4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the r...

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Q: Determine the value(s) of k such that the system of linear equations has the indicated number of sol...

A: For infinite many solution ,  a1/a2 = b1/b2 = c1/c2   

Q: dx 3— 2л — т2

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Q: Find the number(s) b such that the average value of f(x) = 6x² – 62x + 132 - on the interval 0, 6 is...

A: Given   fx=6x2-62x+132   ,    favg=15      We have to find b value for interval [0,b]

Q: Suppose that5. an is an infinite Series with Patial Sum 7-2 n:1 16 what are the values of S an and a...

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Q: Given F(2) = 4, F'(2) = 2, F(4) = 2, F'(4) = 7 and G(2) = 4, G' (2) = 1, G(4) = 1, G' (4) = 2, find ...

A: topic - functions and derivatives

Q: The Laplace transform of a continuous function over the interval | 0, ∞) is def F(e) = / ° f(x)dx. T...

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Q: Determine if f and g are inverses of each other. (a) f(x)= V -3-2 and 9(x) = (x+2)° + 3 2x +1 g(x) =...

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Q: Given the following matrix and its eigenvalues 25 has eigenvalues R, = -3 and R, = 3 1. Find the mat...

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Q: Solve the problem. 2 tan x Use the trigonometric identity tan 2x to find D,tan 2x. 1- tan x

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Q: 4. The image in the region below is revolved around some line. Set up, but do not evaluate, integral...

A: Solution

Q: V4-9x2dx (Use trigonometric Substitution) Evaluate 3x Then, write the coefficient of the integral: B...

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Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a = %3D %3D 3 L(x) = %3D

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Q: +oo 4 Determine if the series > converges or diverges. If it converges, find its sum. n² + 4n + 3 n=...

A: We will solve this question using limit of comparison test.

Q: You are given the following parametric curve x = Vt- 1. y = Vt+2. Which one of the option below repr...

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Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 33.2x = y? F...

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Q: Write the equation in logarithmic form. 10° = 1000 The equation in logarithmic form is

A: Solution in logarithmic equation is given

Q: Given the matrix and its eigenvalues 2 27 0 0 4 40 has eigenvalues R, = 2 and R, = 34 and R, = 0 II ...

A: Solution is written in below steps.

Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = o y(x) -

A: Solution:3y''+2y'+y=03D2+2D+1y=0Auxiliary equation 3m2+2m+1=0m=-2±22-4×3×12×3=-2±22i2×3=-1±2i3m=-13±...

Q: 1- (3x3 + 2y)dx + (2x In x +) dy = 0 %3D

A: As per our company guidelines we are supposed to answer only the first question. Kindly repost the o...

Q: (1, –3) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 < 0 < 2. (r, 0) %D (ii) Fin...

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Q: B. find the slope of the tangent to the curve at the given point 1. y= x-6, (1, - 2) 2. y = 3x -5x. ...

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Q: ,2 - x + 6 Integrate -dx. x3 + 3x The partial fraction decomposition is (write all terms as fraction...

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Q: x = et – 1, y = e2t a) Eliminate the parameter to find a Cartesian equation of the curve.

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Q: Find the derivative. 5+ sec q 5- sec q

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Q: 1 2. Let e =. Determine the smallest choice of N > 0 such that N. 6 ' n(n + 1)

A: To determine the smallest choice.

Q: Find the partial derivative indicated. Assume the variables are restricted to a domain on which the ...

A: The given function,z=2x2y3-y315xy-8

Q: +00 2" Use an appropriate test to determine if the series converges or diverges. n+ en n=1

A: Here we have to use appropriate tests to determine if the series ∑n=1∞2nn+en converges or diverges. ...

Q: Which one is correct, and which one is wrong? Give reasons for the answers. X-3 1 = lim - =- X-3 (a)...

A: Given: limx→3x-3x2-3

Q: -Find the equation (standard form) of the circle that passes through the point (6,5) that is centere...

A: topic - equation of a circle

Q: (-1)"3nx" n² – 5 V. Determine the interval of convergence of > n=1

A: This is a problem of series calculation. By using concepts of series we will determine interval of c...

Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3) Fo...

A: Given x3+y3-6xy=0 We have to find slope of tangent line at 43,83

Q: Find the critical numbers of the function f(x) = 2x3 - 15x2 + 36x - 24. O a. -2 and 3 O b. 2 and 3 O...

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Q: Given the following matrix and its eigenvalues -27 3 2 1. Find the two eigenvalues for the matrix 2....

A: a) Eigenvalues: λ1=5λ2=-5 b) Matrix of eigenvalues For λ1=5 -773-3 For λ2=-5 3737  

Q: Simplify the expression without using a calculator. log

A: log√61 = ? Here we use property  logab = logkb/(logka) Use this  log101/(log10√6) log101 = 0 So the ...

Q: 1-1 2. (-1)^- n=1

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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