Find the area of the shaded region. x = y² - 4 -2 y 3 -3 y = 1 x = e 2 y = -1 4 X

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Q: 1²2₂ f(x) dx where f(x) = 2 4x² if -2 ≤ x ≤0 if 0<x<2

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Q: 1² cos (2) 2 n n 2 2n + 1

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Q: fx³ cos4xdx (you can use short cut method)

A: ∫ x3cos4xdx

Q: Find the solution of the following differential equations. Show your soluti 5. (4D³-4D2+ D-1)y=0

A: The given differential equation is: 4D3-4D2+D-1y=0   So, the auxiliary equation is: 4m3-4m2+m-1=0

Q: Given the series 1 1 - - 1 3 > Next Question + 1 9 - Does this series converge or diverge? O…

A: We will find the required.

Q: z = 8x² + 8y² + 18 nearest the plane 8y - 3x - 7z = 0.

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Q: ind the Maclaurin Series for f(x) =1/(1+8x) and its interval of convergence.

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Q: 1. 2. Determine the tangent line to the graph of 3(x+y)-100xy at the point (3,1) Find given…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: We can use L'Hopital's Rule to calculate lim X18 x³ + 2x ₂3 2x²

A: limx→∞x3+2x2x2we know that indeterminant forms is 00,  ∞∞, 0×∞, 00, ∞0, 1∞ and ∞-∞

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A: We are required to find the minimum and maximum value of the function f(x)=ln(x)x on the interval…

Q: dy 6xy = 5xex³², y(0) = 4 dx - Show Transcribed Text

A: Let's solve given differential equation.

Q: Differential Calculus Find the third derivative of the ff: 1) y x 1-ex 2) y = 2ex - 8x 3) y = 6ex -…

A: We have to find the third derivative of the given function.

Q: Does this series converge or diverge? Give the test used ((11n-6)/(1+12n))^n Start at n=1 End at…

A: We are required to find if the series ∑n=1∞11n-61+12n converges or diverges. We are also required to…

Q: 4. A rectangle is inscribed with its base on the x-axis and its =7-x² with the upper corners qu What…

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Q: 1. 2 (t+2 cos 2t)²-2 cos²2t 2 sint (e²t+4e¹ + sin t)

A: Please see the below picture for detailed solution.

Q: A restaurant has a main location and a traveling food truck. The first matrix A shows the number of…

A: Given matrix A = 52723B = 438193

Q: V. Find the third derivative: 1) y = 10 tan(x) - 2 cot(x) 2) y = x³ - x² sin (x) 1 3) y = 2 sin(x)-4…

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Q: Find the first four nonzero terms in the Maclaurin series for the function. f(x)=x sin(4x) 32 O A.…

A: We have to find the McLaurin Expansion of given function.

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A: QUESTION-   Let k(x)=(2x^4)/f(x) Find k'(x)   Let h(x)=(f(x))^3 Find h'(4)

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Q: Find the positive critical point of the function f(x) = 242. I x =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 16) Find the amount of a continuous money flow in which $900 per year is being invested at 7%,…

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Q: Evaluate the given Laplace transform gia tran (t 0 a. b. C. d. - 1 s(S-1) 1 s²(5-1) 1 s² (s+1) 5+1…

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Q: Find the amplitude and the period in radians. Then sketch the graph using radians. 7) y = 2cos 40 Зл…

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Q: The length of the arc of y = ln cos x from x = π/4 to x = π/3 equals______.

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Q: (²x(4²√x + 5√x) dx

A: The given integral ∫01x4x3+5x4dx. We have to evaluate this integral.

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Q: Condense the expression to a single logarithm. 3 log7 2 - 15 log7 5 2³ A) log7 15 B) log7 (10.35) C)…

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Q: οι 1uaSup1 2U1 IO UOLenba au b uomenba

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

Q: 8. Find the absolute maximum and absolute minimum values of the function on the given interval. Be…

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Q: If  f(x) = x2 + 2x + 1   then f(-1) =

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Q: Find the value of fr and fy at (1,-1) when 4 +5x² + 3y². xy f(x, y) =

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Q: y = √√x and y = 2 along with the y-axis when revolved about the line = 4

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Q: nd for z = ln(2x - y).

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Q: Evaluate x+3 x²+x-2 X x²+4x+4 2x²+11x+15

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Q: Use Euler’s method with step size h = .1 to estimate y(.3) if y is a solution to the differential…

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Q: Jse Newton's method to approximate a root of the equation 4x³ + 8x + 2 = 0 as follows. et x₁ = − 2…

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Q: Find the following limits for f (x) lim f(x) = 0 x-4 If necessary, select the most informative…

A: Given query is to find indicated limit.

Q: 3 Which of the following is the domain of the function f (x) = x ³ ? O All Real Numbers O [0, ∞) Ⓒ…

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Q: i) f x² sinx dx

A: Dear learner, As per the guidelines, We can provide the solution for first one only. Kindly post…