Find the relative extrema of the function, if they exist. 3) f(x)= 3x4 + 16x3 + 24x2 + 32 4) f(x) = X + 1 x2 + 3x + 3 2

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Q: (9x - 8) dx || +C

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A: The objective of the question is slove the double integral and choose the correct option.

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Q: sech(x) Sketch the graph of cseh(x) and coth(x) stating the domain and range ТВС З

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Q: If V f(x, y) = (x² - 1,√y-1), then f have two critical points (1, 1) and (-1, 1). Select one: O True…

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Q: Determine whether yp₂(x) = x is a particular solution of the following DE or not. y" + 4y = 4x.

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Q: (b) Determine whether the alternating series converges or diverges by using the alternating series…

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Q: Estimate the instantaneous rate of change of y(x) = 2x² + 2 at the point: In other words, choose…

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Q: Question 3. (a) (b 2 1 0 -1 Evaluate the determinant of the matrix -1 1 Use the Cramer's rule to…

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Q: ition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the…

A: Please see the below picture for detailed solution.

Q: Find f'(x) if f(x) = -7x5 +4√x. f'(x) =

A: To find derivative f'(x)

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Q: Solve the length of the unknown side. Round each answer to the nearest tenth. 13 19° 22

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Q: - (b) Let R be the region bounded by the curves y Midpoint Rule with n= 4 to estimate the area of R.…

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Q: 10. Find a Maclaurin series which represents cos(x) for every real number around the point a = 0.

A: As we know the Maclaurin series;  fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+fiva4!x-a4..... Where…

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A: We use L'Hospital rule to evaluate the given limit.

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Q: The directional derivative of f(x, y) = xe + 2y at point (2, 0) in the direction of the angle = is:…

A: Given that fx,y=xey+2y at the point 2,0 and θ=π3 find the directional derivative

Q: Solve the problem. 10) Maximize Q = xy2, where x and y are positive numbers, such that x + y2 = 5.

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Q: 1) 3 Use reduction of order method with y₁(x) = e³x to find a second solution y2 for the DE: y" - 9y…

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Q: r-Check Library nts adebook Schedule n e Resources e Options Quick Guide unication Tools F Ostly…

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Q: If f(x, y) = = Select one: O True O False x² + 2xy + y³ 2x + 2y 3y² + 2x '(x² + 2xy + y³)²¹ (x² +…

A: As we know the expression for ∇fx,y. ∇fx,y=i∂∂x+j∂∂yfx,y=∂fx,y∂xi+∂fx,y∂yj   Given: fx,y=1x2+2xy+y3

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Q: Let R be the region bounded by y = 2x, y = 2 and x = 0. Sketch the region R and evaluate the double…

A: Given: I=∫∫Rxy-1dA And  y=2x, y=2 and x=0   As we know that; ∬dA=∬dxdy or ∬dydx

Q: 1. Integrate using an appropriate method. [2si 2 sin³(r) cos² (r)dr

A: The given integral is: I=∫2sin3xcos2xdx   As we know that; The trigonometric identity; sin2x+cos2x=1…

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Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

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Q: Evaluate the following iterated integral without technology. 642 SSS (-4x+5y+z) dxdydz 000

A: To evaluate the following iterated integral without technology.∫06∫04∫02-4x+5y+z dx dy dz

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