Identify the zeros of f(x) = (x + 8) (x + 6) (x − 3) and their multiplicity. with multiplicity of with multiplicity of with multiplicity of Question Help: Message instructor x = x = x= Submit Question Jump to Answer

Q: 3 Solve the following GDES by variation of parameters method: 2X 니 ● ÿ - 4y + 4y = 12 ²X / X4 +10 2X…

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Q: if - 6 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x) =…

A: The Solution is given below

Q: Write the row vectors and the column vectors of the matrix. 311] -404 (a) the row vectors (b) the…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 5y² + 8, (2, 4) Vf(2, 4) = (No…

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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: Express the function f(x)=(1+x)/((1-x)^2) as the sum of power series.

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Q: Find the general solution of the differential equation. y(4) - y = 7t+cost. NOTE: Use C₁, C2, C3,…

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Q: Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2…

A: Given:y=sin-1(5x5+2x)+tan-1(x2)       y'=dydx=dsin-1(5x5+2x)+tan-1(x2)dx…

Q: What does the slope of a secant line through two points on the graph of a distance vs time graph…

A: lets consider

Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

Q: Given the function f(x) = 4x² - 3x + 5, find and simplify the difference quotient ( f(x+h)-f(x))/h.…

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Q: Vitaly and Sherry have 24 m of fencing to enclose a rectangular garden at the back of their house.…

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Q: Find the directional derivative g(x, y) = √√√x² + y², of the function at P in the direction of v.…

A: solution is given below

Q: Determine whether the given function is linear. If the function is linear, express the function in…

A: Given question:- Determine whether the given function is linear. If the function is linear, express…

Q: 5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a.…

A: Given half life of Krypton-85  is   t1/2=10.76 years

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A: The Solution is given below

Q: - 1)n (n + 1)!) 3n!

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Q: A one-lane highway runs through a tunnel in the shape of one-half a sine curve cycle. The opening is…

A: Given :- The shape of the tunnel = One-half sine curve cycle The height of the road at its highest…

Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

A: Here, x changes from 35 to 38. So, change in x = 38 - 35                              =  3.

Q: Find the radius of convergence, R, of the series. R = 8 Σ n=1 I = xn 135.. (2n-1) Find the interval,…

A: We have to find the radius of convergence, R, of the series ∑n=1∞ xn1·3·5· ⋯ · 2n-1. Also we have to…

Q: Given y(4) — 6y"″ – 36y″ + 216y' = t² − 5 + tsint, determine a suitable form for Y(t) if the method…

A: To find the suitable form of yt by method of undetermined coefficients of the differential equation…

Q: Using Integration by Parts, the integral [(x³ + (x8+2x²) In x dx

A: SOLUTION-

Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) negative?…

A: Solution ) f'(x) negative where the graph of f(x) is decreasing  Hence the interval where f(x)…

Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: Evaluate the integra dx √2x-x¹

A: ∫12x-x2dx

Q: Find the directional derivative of the function at P in the direction of Q. g(x, y, z) = xye⁹², P(2,…

A: Given :gx,y,z=xye9zP2,2,0, Q0,0,0

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Understanding of inflection point calculations are required to understand this problem.

Q: Jse method of variation of parameters. y"+2y-8y=2e-2x - e-x.

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Q: The derivative with respect to x of the function sec y where y sec¹(2* cot¹x) is

A: We can solve this as follows:

Q: Suppose f is a differentiable function with f(1) = 1 and f'() = -1. Let y = f(x). tanx + ex. cosx.…

A: According to question,Given Function,y = fx.tan x + ex.cos xfπ = 1andf'π =- 1

Q: Hello! I need help on this question. Question number 1 with all work shown please!:) And thank you.

A: Topic:- application of derivatives

Q: 24 dx (144x²+1) Evaluate S- 2

A: Here we have to find the integral.

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Q: An offshore oil well is 2 kilometers off the coast. The refinery is 3 kilometers down the coast (see…

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Q: 5.) Use linear approximation to estimate f(0.1, −0.9) x² sin x In(y² + 1) Y f(x, y) = of th + x+1…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the approximate…

Q: in open rectangular box (no top) with volume 8 cubic meters has a square base. Express the surface…

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Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: This question is based on observation of graph.

Q: How did he get the value inside the circle bn = = = falt) sin (nwot) dit // (1 = 2 11 (= (₁-t) Sin…

A: Explanation of the answer is as follows

Q: 1. Let f(x, y) = y³ + x³ = y² - 3x + 30y. (a) Find all the critical points of f. (b) Determine…

A: To find out the critical points and also classify them as relative maximum, relative minimum and…

Q: Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the…

A: Using ÷ cscx=1sinx   1sin2x-8=0 1sin2x=8 sin2x=18 Now taking inverse and finding values of x we get…

Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 160° (x,y) =…

A: Given that , Radius of circle r=20 angle θ=160° find the coordinates of a point.

Q: For the next three 6²= 4r dr √1-4 1

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Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 2n(ln(n))² 4n I = X Find the…

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Q: dx tan x-1 1. f S=

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Q: If f(x) = 3x²-3x + 2, find f'(1). Use this to find the equation of the tangent line to the parabola…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: Using Integration by Parts, the integral [(x8. is equal to x10 5 - the above + 2x⁹) In x dx…

A: Given: I=∫x8+2x9lnxdx   Apply the integration by parts to solve the given integral. ∫udv=u·v-∫vdu

Q: An offshore oil well is 2 kilometers off the coast. The refinery is 3 kilometers down the coast (see…

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Q: If k0 then the trigonometric integral [ 3 sin³ (kx) dx is equal to [−sin(kx) + sin³(kx)] + C the…

A: To evaluate the integral.