a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) = 10x In x

Q: Find y' and y''. y = lnx + (7+x^2)^1/2

A: We can find y' and y'' as below

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A: Given:     dydx = 6xy        , y(0) = π

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A: Extrema

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Q: n! g) E п 3" n=0

A: There are multiple questions, as per company policy kindly ask other questions separately, ratio te...

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A: Solve by limit comparison test :- if a known series and unknown series ratio after applying limit  i...

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A: Given

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A:

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A: Given:   ∫1x4-10x2+9dx

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A:

Q: Find the maximum and the minimum values of f(x,y,z) = 2x - 7y+7z on the sphere x² +y2 +z? = 102. ......

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Q: Determine the function f satisfying the given conditions. f'(x) = -sin(x) f (7/3) %3D = 3.5 f (x) = ...

A:

Q: 8) y=-1 +2cos 0 3 37 37C 2 2.

A: Given query is to graph the function.

Q: Factor the trinomial, or state that the trinomial is prime. 2x2 – - 19x + 24 Select the correct choi...

A: This question is based on factorisation of trinomial and percentage.

Q: п d) Σ (-1)" п е n=1 (-1)"*'n² п e) E 2 п +4 n=1 1 Σ- ‚n n=1

A: According to guidelines we can solve only first question. Please submit as separate questions.

Q: Find dyldt of y = sin (cost) and simplify. °v=- 1-t2 -t -Cos t Cos t y =

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Q: Current Attempt in Progress = Write out the first four terms of the sequence (1+ (-1)"). starting wi...

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A:

Q: Find the average rate of change of the function f(x)= −6cos(x/4), from x=8 to x=8.34.  Note, the di...

A: Given:     f(x)= −6cos(x/4), from x=8 to x=8.34. 

Q: Find S1, S3, and S6 for each problem below 1. . -1, 3, -5, 7, -9, ... 2. . 4, 7, 10, 13, 16, ...

A:

Q: у-аxis 24 1- +>x-axis -1 1 2 3 4 5 6 7 -3 -5- -6+ What is the equation in standard form of a circle ...

A: In this question we have to find the equation in standard form of a circle.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: solution:-y=5+2xy=15+x3  

Q: How would I solve this

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Q: (a) Find an equation of the tangent plane to the surface of z = ye(3ry-y²) at (-1, –3, –3). (b) Give...

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Q: Which of the following pairs of functions below do not form a fundamental set of solutions to the eq...

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Q: 19. Consider the parametrization of the unit circle given by c(t) = (cos t, sin t). (a) Verify that ...

A: We have to verify that c is parametrized by arc length and show that the curvature k of c is constan...

Q: What is the graph of the equation (x – xo)2 + (y – yo)² + (z – zo)² =? where r= 0? O Sphere O Concen...

A: The given equation,    x-x02+y-y02+z-z02=r2

Q: ³ +5 dx r4 – x3 + x²

A:

Q: Select all that apply. Solve for x, 0 g x< 360. sin 2x - cos x = 0 O 150 270 O 30 90

A: sin2x-cosx = 0 solve for x 

Q: 2. For f(x) = 28/3 – 4r/3, find a). the domain, b). f', critical points, | c). the local maxima and ...

A: Take f'(x) =0 for critical prints.  According to guidelines we solve only first three parts  

Q: Set up the integral to find the length of the curve f(x) = V1 – 2? for 1/v2 <x < 1.

A: Please see the answer below.

Q: Consider the following functions. f ((-3,-2), (2, 0), (1, – 1), (–2,-5)} and 8= (5,0), (0, 1), (1, 1...

A:

Q: 2. For the curve y = x3 + 2x² + 4 a.Solve the normal line at point (-2,4) b. Locate the possible max...

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Q: a) Determine the derivative of the function f(x) = (x + 1)³(3x – 5)*. Write your answer in simplifie...

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Q: Find all the values of x such that the given series would converge. x" n! Answer: IM:

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Q: VT VT "cos(x?)dxdy? What is the reversed order of integration of "y O a. cVT X cos(x²)aydx 0. O b. V...

A:

Q: .......n....... ..... Sketch the regions enclosed by the given curves. y = 2 cos(4x), y 2 sin(8x), x...

A: Given problem:- Sketch the regions enclosed by the given curves.   y = 2 cos(4x), y = 2 sin(8x), x=0...

Q: (a) f(x) = (2x – 1)*(3x – 2)³ (b) f(x) = [(x – 3)(5x + 1)]³ (c) f(x) = Vx cos ((3x + 2)²) %3D CoS (d...

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Q: 1. Find the particular solution to the following differential equations d²y а. dx2 d²y b. – 4+3y = 0...

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Q: Complete the analysis and sketch the graph of the function y=x3 -x2 -8x+8. The answer should include...

A: We can analyse function as follows  

Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x? + y? +1 а. (4,1) b. (3,3)

A:

Q: A parametric representation of the curve of intersection of the two surfaces x2 + 5y2 - z = 0 and 4y...

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Q: A golf ball is shot into the air and modeled by the function h(t)=-4.7t2 + 13t + 0.3, where h is the...

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Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(4, – 5) a...

A: Given query is to find the equation of the circle.