25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

Q: 5x dx J 4x+12x²+9x³

A: On solving this we will get:

Q: Below is the plot of a function f(x). 15t 14 13 12 10- 8- 4. -9 -8 -7 -5 -2- -7 -8- -10- -H- -12 -13...

A: According to the graph, there is a local maxima at x=-3 and a local minima at x=1

Q: If f(x) = 2x+11 then we can write %3D (x-1)(x²+x+1) Select one: O f(x) = 4 + x+1 x+x+1 O f(x) = + X-...

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Q: Question Find (f-)'(a) for f(x) = Vx + 5 when a = 2. (Enter an exact answer.) Provide your answer be...

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Q: A rectangular prism with dimensions 6 m × 4 m × 8 m (l×w ×h) is shrinking. (a)  Assume that the leng...

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Q: 4. If f(x) = sin x, find f' (x) %3D Find f'(4)

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Q: Determine whe ther the series is Convergent or divergent.write the exact test that you Use. n=2

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Q: Is the differential equation linear? dy dx = x8y + sin(x)

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Q: Use the Chain Rule to show that if 0 is measured in degrees, then d (sin 0) = de TT cos 0 180

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Q: Question Complete the blank , giving your answers to two decimal places where applicable.(Explain w...

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Q: Solve this differential equation: 0.07y(200 – y) y(t) =

A: Given: Now,               y' =0.07y200-y⇒dy0.07y200-y=dx⇒dy-0.07yy-200=dx⇒114y+-114y-200dy=dx⇒114y-...

Q: Use the formula for the sum of the first n terms of a geometric sequence to evaluate the following s...

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Q: Find the area of the surface obtained by rotating the curve y = 5x° from æ = 0 to æ = 9 about the x-...

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Q: Question 1 Suppose the infinite series an is divergent. Then for any real number c, the series can i...

A: We have to choose correct option

Q: Find the arclength of the curve in the given interval. x = 3 cos? t , y= 3 cost sin t , 0 s<t <t

A: solution is written in below steps.

Q: Find the area bounded by the curves y = 11cos x and y = 11cos x between x = 0 and x = 2

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Q: The sum of one number and three times the second number is 48. What will be the maximum product of t...

A: Given that the the sum of one number and three times the second numberis 48.Our Aim is to find the m...

Q: dy da

A: Implicit differentiation : when you have both terms x and y in an equation differentiating the equat...

Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to th...

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Q: Write the first five terms of the arithmetic sequence. a1=3, d=6

A: Let's five terms of arithmetic sequence are a-2d,a-d,a,a+d,and a+2d Then a-2d=3 ,d=6 a=3+2×6=3+12 a=...

Q: Solve the differential equation by using integrating factors. xy' = 3y + x2 y(x) =

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Q: VI. Give the Maclaurin series expansion of f(x) = In(2 - 3x). Determine its interval of convergence....

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

A: We have to find the values of x for which f(x) has horizontal tangent.

Q: Sts dx 4+x4 4 4 V2

A: ∫54254  x4+x4dxlet   x2=t differntiate on both sides     2xdx=dt∫xx4+4dx=12∫2xx4+4dx12∫2xx4+4dx=12∫d...

Q: 6. Find the smallest constantr so that o(x) == x" is a solution to 3z'y" +11lry -3y= 0, for z >0 -3 ...

A: 6.ϕr=xr is a solution to 3x2y''+11xy'-3y=0, for x&gt;0

Q: cossy sin³y dy 11. 1 а. 2 b.20 C. 20 d. none of the choices

A: ∫0π/2cos5y*sin5y dyWe know that cos2y=1-sin2y=∫cos(y)*sin5(y)(sin2(y)-1)2dy  Substitute u=sin(y)→dud...

Q: Find ag and an for the following geometric sequence. a4 = 8, r= - 2 Find a, for the geometric sequen...

A: The objective of the question is determine the a5 for the geometric sequence.

Q: * A 5 m pole, leaning against a wall slips in such a way that its base is vaun moving away from the ...

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Q: 21 Solve the equation on the interval [0,27]. sin20 + sin0 = 0

A: Given query is to find the solution of the trigonometric expression.

Q: Evaluate: I|(3x2 +9y2)dxdy. Use inner limits 0 to y and the outer limits 0 to 2. О а. 35 O b.30 C. 4...

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Q: 7 - 7 cos (x) + 3x? Evaluate the limit: lim 10x2 Answer: Submit Answer

A: Please see the solution below.

Q: Show that w is in span(B) and find the coordinates of w with respect to B. B = 6.

A: Linear Algebra

Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the x-...

A: Let's find. 

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular...

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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 equation of the circle that passes through the points (10,2), (9,-3), given that its center...

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Q: If f(x) = 10e" + x°, find f'(x). > Next Question

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Q: Let o = IT Find the directional derivative Du t (x, y) OF f (Xiy) = 3x² y - 4xy3+ 3y²-4x at (3,4) in...

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Q: The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum. O a. 44.8 m...

A: The hypotenuse of a right triangle is 14 m. To find its perimeter if its area is a maximum.  

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

A: polynomial function is that in which the power is positive and non-zero integer. so here lets check ...

Q: x = 3 sin 0 is an appropriate trigonometric substitution for the integral 3-x2 dxp. x2 Select one: O...

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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: Use the second partial derivative to Find the relative extrema OF the Function f (x, y) = x°t 2xy-6x...

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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: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: Follow the procedure given below.

Q: Find the domain of the rational function. 2x g(x) = (x + 4)(x - 9) {x|x # -4, x * 9, x * -2} all rea...

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Q: +00 El-1)nInn- n=2 n2

A: The given series,        ∑n=2+∞-1nln nn2

Q: dx Assume that x= x(t) and y y(t). Let y=? •1 and D2 when x 3. dt dy Find when x=3 dt (Simplity your...

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Q: Use the given information to find f '(2). g(2)  =  5   and   g'(2)  =  −3 h(2)  =  −1 and h'(2)  = ...

A: The objective of the question is evaluate the given composition of function at given point.

Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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