Use the (6) definition to show that 2n + 1 lim n→∞ 3n+ 4 = 213

Q: Consider the following. √ dz 2z + 6 Find a substitution to rewrite the integrand as = du = dz du.…

A: We are required to evaluate ∫dz2z+6   The following formulas of differentiation and integration has…

Q: Let g(z) = 6e²+ 9 cos z Determine the derivative of g. g'(z) = 6e²-9 sin(z) ✓ Determine the…

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Q: Make a sign diagram for the derivative of the function. f(x) = x3 − 3x2 − 24x + 7 f '(x)      0…

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Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

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Q: Use the Product Rule to find the derivative of f. f(x) = sin(x) cos(x) ƒ'(x) = ←

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Q: Find the derivative of 1. f'(x) = 2. f'(x) = 3. f'(x) 4. f'(x) 5. f'(x) = = = f(x) 6. f'(x) = = = (1…

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Q: The area of the region enclosed by the curves of y 11 x² and y= 9+x2 is equal to

A: Given query is to find the area enclosed.

Q: Find a cubic function f(x) = ax³ + bx² + cx + d that has a local maximum value of 3 at x = -3 and a…

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Q: Determine y' when y = x-1/x 1. y' y (lnx + 1) 2. y'= -ry(2 ln x + 1) 3. y' ry(2]nr−1) 4. y = −…

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Q: An object is thrown upward at time t = 0. After t seconds, its height is y = -4.9t² + 5t+5 meters…

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Q: 26. (a) Find an equation of the plane that passes through the points A(2, 1, 1), B(-1,-1, 10), and…

A: (26) According to our guidelines , we can answer only first three sub-parts. Kindly re-post other…

Q: Find the partial derivative fxy if f(x,y) = xye- A. ye-2y B. e-2y - 2ye-2y C. e-2y - 2xye-2y D.…

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Q: If the partial fraction expansion of 9x - 60 (x-8)(x - 2) then: A= B A x-8 + 9x60 (x-8)(x-2) B - 2…

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Q: Find the requested derivative. You're graded on your process as well as your answers, so please show…

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Q: 4 solute minimum value of f(x) = 2x² - 4x such answer exists. IMAL PLACES.)

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Q: Evaluate the integral. (Use C for the constant of integration.) sin²(πx) cos(x) dx

A: Topic = Integration

Q: Evaluate the integral -4 √ (z+a) (x + b) dz dx for the cases where a = b and where a ‡ b. Note: For…

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Q: f'(x) when ƒ(x) = x² − ln (6+x²). 1. f'(x) 2. f'(x) 3. f'(x) =

A: Given query is to find indicated derivative.

Q: Let M = xey−(z^2), x = 2uv, y = u − v, z = u + v, compute (∂M/∂u), (∂2M/∂2u), (∂M/∂v), (∂2M/∂2v)…

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Q: How large should n be to guarantee that the Simpsons Rule approximation to 4 [(-2¹-12a³-302² -5x -…

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Q: Given the following table, give the best estimate for f'(3) X f(x) 0 34 3 41 6 54 The estimate is If…

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Q: Find the derivative of f(x) = In 1+ 1 1. f'(x) 2. f'(x) 3. f'(x) 4. f'(x) 5. f'(x) 6. f'(x) = = = =…

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Q: 4. L{4cos 2t - 5sin 2t} 5. L-¹ { 3/(s² - 7) } 8 2 3s² + 12 5 6. L-¹ { - C-LC + 3 S49 - } 7s

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Q: Solve the given differential equation. All solutions should be found. x - 2y X dy dx NOTE: Use c for…

A: The given differential equation is: dydx=x9-2yx  To solve the given differential equation.

Q: Check whether each of the following functions is a solution of the differential equation 3y + 5y =…

A: Follow the procedure given below.

Q: Using the substitution u=4x−3�=4�−3, ∫x(4x−3)10ⅆx∫�(4�−3)10ⅆ� is equivalent to which of the…

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Q: Calculus is a powerful tool used in all areas of physics. One of the initial applications areas is…

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Q: The number of cell phone subscribers in a certain country in the years 2000-2005 was projected to…

A: Given:- Revenue: Rt=35039t+67e-0.2t  million dollars

Q: t the vectors [3,-

A: We know that , Dot product of two perpendicular vectors is zero.

Q: 。 hs 1+ 3² ds

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Q: 5. If S = 472 and dr dt 1 2 then find d.S dt when r = = 7.

A: Given:- S=4πr2 ,drdt=12

Q: III. Subtract the first function from the second function. 1. f(x) = 2x + 1 and g(x) = 3x - 4-X-5 2.…

A: Quetion III,Part 1,Given,            fx=2x+1 and gx=3x-4To find ; Substract the first function from…

Q: 4.) Solve by separation of variables: x' = x cost where x(0) = 1.

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Q: f(x) = -7x, 1, 7x, I x 7.

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Q: The function f(x,y) = xy² – 2x² – 4y²2 has critical points (0,0), (4,—4), and (4,4). Which of the…

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Q: Small changes in numbers in an integrand can result in very different methods required for…

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Q: Evaluate the limit, if it exists. (If an answer does no u + 2 lim u→-2 u-2³ +8

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Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. For a…

A: The details solution of the given question is given below in step 2.  And the relevant formula used…

Q: If No - My M equation = Q, where is a function of y only, then the differential has an integrating…

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Q: [ (x³ + x) √ x² + 1) dx

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Q: Determine whether the equation is exact. Find the solution to the IVP. (r+ sine - cos0) dr+r(sin0+…

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Q: 10. Use implicit differentiation to find an equation of the tangent line to the ellipse 2 (1,5) + 50…

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

Q: 3. Using the graphs of the functions f and g below, determine the following. If infinite, specify co…

A: Topic - Limit of a function We are given graphs of a functions f(x) and g(x).

Q: Find the sum of the convergent series. (Round your answer to four decimal places.) 92.9694 8 Σ…

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Q: Let f(x) = x - 10 sin(x) Find the least positive value of x for which the graph of the function f…

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Q: Use linearization to approximate ln(2.5)

A: Given: Use linearization to approximate ln(2.5)

Q: 1. Determine the following, if g = [3, -2,5] and h = [4, 1, −6]. a) g + h b) g - h c) g.h d) Igl

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Q: f z = 5x2+y2 and (x,y) changes from (1, 2) to (1.05, 2.01), compare the values ∆z and dz

A: Given :z = 5x2+y2(x,y) changes from (1, 2) to (1.05, 2.01)

Q: 2. Find the derivative of the following using Prime Notation: f(x) = sin-¹(5x³)

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Q: 280t 13+7t 7. Suppose that an automobile's velocity starting from rest is v(t) = where v is measured…

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