(D² + 5D + 4)y = 3 - 2x, Find Yp O a. 11 8 O b. O d. 11 C. 11 — | 8 11 8 8 + e. none w|x 3 I + w/x 8/3 w/x

Q: Evaluate the definite integral .9 10x² +9 dr

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Q: 3. Consider the piecewise function g(t) = ((t + 2)² +2 t≤0 t+6 t> 0° (a) Does g(t) have an absolute…

A: Let's find absolute maximum or minimum value of g(t).

Q: Let f(x) = x + √√1 – Find the local maximum and minimum values of f using both the first and second…

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Q: A company's revenue from selling a units of an item is given as R = 1100x - x². If sales are…

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Q: (D2 - 3D + 2)y = ex, Find Yp O a.-ex Ob.ex OC.-xex O d.xex

A: Given differential equation ( D2 -3D + 2 )y = ex

Q: Let​ R(x), C(x), and​ P(x) be,​ respectively, the​ revenue, cost, and​ profit, in dollars, from the…

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Q: In the graph to the right, the equation of the parabola is x = OB. S (y-2)² 2 Set up the integral…

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Q: Determine the intervals on which f is increasing or decreasing, assuming the figure below is the…

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

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Q: Find the area of the shaded region. f(x)=x²-8x³ +21x², g(x)= -14x+136 (-2,16

A: Here we have to find the area of the shaded region,  f(x)=x4-8x3+21x2, g(x)=-14x+136

Q: Find sin 2x, cos 2x, and tan 2x if cosx = sin 2x cos 2x tan 2x = 0) = 0 = 0 3 and x terminates in…

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Q: 15. Find the average value of f on [0, 8]. 1 0 2 4 X

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Q: what is the difference between a power series and the series?

A: series:        The word series as used in mathematics means an infinite sum. For example, the…

Q: Evaluate •W₂** e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder x² + y² =…

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Q: Solve the problem. 26) In a certain memory experiment, subject A is able to memorize words at a rate…

A: Integral

Q: 11. F(x, y, z) = yi+zj+xk S is the part of the plane x + y + z = 1 that lies in the first octant,…

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Q: Calculate the arc length of y = 4x + 1 as a varies from 0 to 2. 8 =

A: As we know that arc length = ∫ab1 + ( dydx )2dxGiven y = 4x + 1 varies from 0 to 2

Q: Does the series converge or diverge by what test?

A: sn=∑n=1∞ lnnn+3=∑n=1∞…

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4-3- 4 32 1 2 3 4 5 6

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Q: Evaluate 1. limit = -2 2. limit does not exist x + 3 lim x-3 x² - 2x - 15 3. limit= 4. limit 5.…

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Q: A river is flowing downstream at a constant rate of 5 ft/s. We take a rectangular net that is 6 ft…

A: Given river velocity ( v ) = 5 ftsrectangular net whose area is A A = length × breadth

Q: The function f(x) This function has a local maximum at x = with value = 5x+9 - 1 has one local…

A: The objective is to solve the above question.

Q: lim (x,y)+(5,10) ‚ ( ²½ + ² ) ² = lim (x,y)+(3,4) \ X

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Q: infinite

A: We have to find the value of the given definite integral according to the given information

Q: Find the area of the region enclosed by the curves y = 4 sin x and y = 4 sin 2x for 0≤x≤t. O A. O B.…

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Q: ao= a₁ = a2= a3 = 9. 9- a4 = (c) The answer in part (a) equals the sum of the infinite series in…

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Q: Let f(x) = 4 sin(x). a.) |ƒ'(x)| ≤¯ b.) By the Mean Value Theorem, f(a) – f(b)| ≤ a - b for all a…

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Q: Consider the function f(x) = 4√√x + 6 on the interval [3, 8]. Find the average or mean slope of the…

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Q: A function h has graph 2- f(x) = n (-4, 4). If f is defined on (-4, 4) by -1, -4<x<-3, - Ma h(t) dt,…

A: Given: A function h(x) f(x)=-1   -4&lt;x&lt;-3∫-3xhtdt     -3≤x&lt;4   Note: This question can be…

Q: Find the limit (if it exists) of limx->3+ (3-x)/|3-x|

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Q: Find the volume of the solid that is obtained when the region in the first quadrant under the curve…

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Q: Compute T₂(x) at x = 0.5 for y = e² and use a calculator to compute the error |eª — T₂(x)| at x =…

A: Let's find Taylor series and error.

Q: Consider the vector field F = (x³y¹, x¹y³) Is this vector field Conservative? Select an answer If…

A: Solve the following

Q: 8. Convert each rectangular point to polar. Give two equivalent representations for each. a. (2,-2)…

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Q: - f(x)=√x, [0,4]

A: formula for average value is  favg=1b-a∫abf(x)dxf(x)=x∫xndx=xn+1n+1+c

Q: = A particle is moving with acceleration a(t) = 6t+ 2. its position at time t = 0 is 8 (0) 10 and…

A: NOTE: Refresh your page if you can't see any equations. . the given acceleration function is

Q: Suppose f is a differentiable function such that f'(x) ≤ 3 for all x = [−3, 8]. If ƒ(-3) = 4, the…

A: To use mean value theorem and find V

Q: Find the indefinite integral. (Use C for the constant of integration.) √x²ex/2 dx

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Q: Use the root test to determine whether the series Since lim n→∞ = 2 n=1 6n n6.3n+1 converges or…

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Q: (D2 - 3D + 2)y = ex, Find Yp -et O b. ex a. O-xex di xe O O e. none

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Q: 9. Find all points of intersection between the curves on [0,2π]. a. r = 1+ sin0, r = 3 sin 0 b. r² 2…

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Q: The time it takes to drive to Top High School is normally distributed with a mean of 17 minutes and…

A: To find the probability that it takes the student less than 13 minutes to drive to school.

Q: EXAMPLE 4 Evaluating Trigonometric Functions Given tan = and cos > 0, find cos 0 and csc 0.

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Q: (D3 - 5D² + 8D-4)y=e2x, Find Y = Yc - Yp a. 2x cé + Cẻ +C xe O C. -2x O b. 2x 2x °°€₁p² + €₂²³ +…

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Q: 9. Determine whether the following series converge or diverge: a) En=ne-2n b) In (₁) 2n+1

A: Given series:- ∑n=1∞lnn2n+1

Q: determine the solution of the differential equation

A: Given: D2-1y=2ex-e-x

Q: 1, +4 For each of the following functions, indicate the asymptotes (with x = 5 or y=3) or write…

A: The given function is f(x)=x-9x2+25

Q: = √² (1³ + 3t² + 7) dt √ If f(x) = then f''(x) = Question Help: Video Message instructor

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Q: Problem 7, continued (still with f(x) = x/²). (c) A particle is moving on the graph of y = f(x). Its…

A: Given Function,fx = 12x32y = fx,at x =2 , we have  dxdt = 5

Q: Sum of seriy n=1 2"+1 4ª

A: Explanation of the answer is as follows