Determine the area of the region bounded by y = (x-4)e5x² - 40x and y = 0 on the interval [0,8]. Area =

Q: What is wrong with the equation? O O -273 Lea-2--10 X dx = X 3 f(x) = x -3 7 288 -3 is continuous on…

A: Solution: Given data,

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Q: Use a geometric series or the nth-term Test to determine the convergence or divergence the series.…

A: Given query is to find series converges or diverges.

Q: Determine which of the following is the particular solution for the differential equation (D²- 2D+4)…

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Q: 7. If y = (x³ - cos x), then y' = (A) 5(x³ - cos .x)* (B) 5(3x² + sin x) (C) 5(3x² + sin x) (D)…

A: As per the guidelines we can answer only one question at a time so if you need more answers kindly…

Q: 5. Compute all roots. Indicate the location of the roots on a circle centered at the origin 1/2 (i)…

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Q: Evaluate the integral. 6. (2e + 8 sin(x))dx

A: We have to evaluate the integral ∫0π 2ex + 8 sinx dx.

Q: Question Use the first Taylor polynomial for at x = 8 to estimate 13. Round your answer to four…

A: First Taylor polynomial:  Let f(x) be a differentiable function on (a,b). Then  f'(x)= f(a) +…

Q: Question 6 (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp a. °C ₂₁e² + c₂e²t. O b. -2x "C₁₂e-x + C₁₂e-² C. O…

A: Ode

Q: 5. Which of the following differential equation is not Bernoulli b. y' = y(x-y)(x + y) a. y' = y√x…

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Q: Evaluate the integral. ㅇ뿡 ○. ㅇ쁨 dx

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Q: Find a power series representation for the function; find the interval of convergence. (Give your…

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Q: Find the roots of (D4 +D²+1) Oa 1± √3 1± √√3 1±i√3 fro 2 O b. b − 1 ± √3¸ −1 ± i√3 2 2 2 EM=130 01 ±…

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Q: A company's revenue from selling x units of an item is given as R=1000x-x^2 dollars. If sales are…

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Q: Question 5 (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp 1 2x + a. O b. O C. Cet + C с d. ce -X e 2 + C₂ e…

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Q: Determine which of the following tests would be best to use to determine the convergence of the…

A: According to question,Given Series,∑n=1∞ 4n23

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: Find the limit lim (z,y) → (0,0) 3x² + 3y² x² + y² + 16. -4)

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Q: 2 (a) [²9 (b) (c) g(x) dx 9. J g(x) dx 7 [²9(x) g(x) dx

A: Concept ∫abf( x )dx = Area under the curve f( x ) from a to b

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Q: Find the value of the constant C' for which the integral converges. Evaluate the integral for this…

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Q: Determine which of the following tests would be best to use to determine the convergence of the…

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Q: D Question 10 Find the derivative. y = Š O 02 √8x+9 dt √√8x+9 (8x +9)3/2 +9 O√√√x+9+√9

A: Given query is to find the derivative.

Q: (D3 - 2D² - 5D + 6)y = e³x, Find Yp O a. 1 10 3x e

A: Given differential equation ( D3 - 2D2 -5D + 6 )y = e3x

Q: 8) An investment of to 358.24 in 8 year 350 in blue chip stocks grows months. if this growth rate…

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Q: Developing Find f'(x) 1) f(x) = sec(x)e* 2) f(x) = 2* + 4x²

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Q: (D3-5D2+8D-4)y= 2x, Find Y = Yc - Yp 1 a. O b. c+ciải tế giớ OC 12²³x²= + 12²x²5+ [²³²] + x³²50 -2x…

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Q: Find the total area of the shaded region. 10- 8 6 4 Ay 15 2 p y=9 π/2 2 y=9 cos x it 3m/2 N X 2x J

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Q: If f(x) f'(x) = = x2 - 3 - t² dt then

A: ∫xndx=xn+1n+1+cdxndx=nxn-1dconstantdx=0

Q: Our goal is to estimate the rate of change of d(t) at precisely the time t = 3 se This will be…

A: Given: dt=61.490-t

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) √² dx 2 + 8x 1 + x²

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Q: B If angle C measures 3(2x + 2) degrees, and angle A is 30 degrees, what is a? x =

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Q: How many 4 card hands are possible with a 26-ċard deck?

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Q: 75 (B) H (C) (D) 45 (E)

A: Topic:- application of derivatives

Q: ΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑ 11. Let f be the function defined by f(x) = [x – 2] for all x. Which…

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Q: III. Find the equations of the tangent and normal to each at a given point. Show the graph. You may…

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Q: Use partial fractions to find the indefinite integral. (use C for the constant of integration and…

A: NOTE: Refresh your page if you can't see any equations. . first, we need to take the long division

Q: (D³ - 4D²)y = 5, Find Yp 5x2 4 a. O b. 5x² 4 O C. 5x² 12 O d. 5x² 12 e none

A: According to question,Given Differential equation,D3 - 4D2y = 5

Q: Evaluate the expression. 10 P2 The solution is ☐

A: To evaluate the following expression.P210

Q: Find the length of the curve (t) = (4 cos(5t), 4 sin(5t), 5t) for -3 ≤ t ≤9 Give your answer to two…

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Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 7, b) a sum not…

A: A pair of dice is rolled.

Q: sides of lengths 6,10 and 7. Find 2) A triangle has the mesure of it's largest angle to the nearest…

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Q: A pair of dice is rolled. What is the probability of getting a sum of 12? What is the probability of…

A: Solution: When two dice are rolled

Q: Use integration by parts to evaluate the integral. √xe4x dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method

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: Use the divergence theorem to calculate the flux integral F F.ds, where S is the outward-oriented…

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Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

A: given rate is  r(t)=1200e0.04let t=0 denotes the year  2000for 2020, t=2020-2000=20

Q: on enclosed by the given curves. (A graphing calculator is recommended.) - x², y = 0 -1 y 3 2 1 y 3…

A: Topic:- application of integration