If an object's acceleration is a(t) = 4cos(3t) and v(0) = 3, what is v(5)? O 4.867 3.867 2.867 0.867

Q: 4. im [(x-4)(x+6)] A. -8 B. 9 5. lim, [(4)(x-25x-5)] A. -35 B. 30 A. 11 B. 10 C -9 C. -32 C. 9 5 D.…

A: (4)  limx→3x-4x+6=limx→3x-4limx→3(x+6)                             =3-4(3+6) limx→3[(x-4)(x+6)]=-9…

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Q: f(x) = (x²-4) (x²-1) lect the correct choice below and fill in any answer boxes to complete your…

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Q: If f(x)=5x+5/5x+3 find: f'(x)f′(x) =    f'(5)f′(5) =

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Q: An object moves along a horizontal path with a velocity v(t) = 2t² - 8t, where v(t) is measured in…

A: Given problem:- An object moves along a horizontal path with a velocity v(t) = 2t2 - 8t where v(t)…

Q: 4. Find the following complex integral. (1) I= f (2) 1 = z²dz, C: z(t) = t² + it (0 ≤ t ≤1) zdz,…

A: Complex integral of ∫Cf(z)dz=∫abfz(t)z'(t)dt,   where C=z:z=z(t), a≤t≤b

Q: 2. Evaluate J dx x²√√x²-49) x>7, using a trigonometric substitution.

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute  take…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

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Q: 1. lim(2x² + 2x - 3) X-4 3.9 X f(x) 3.99 99 3.999 4 ? 4.001 4.01 4.1

A: To find: limx→42x2+2x-3

Q: 22-23. Which of the following is the area. enclosed by y=x²-4 and y = x -4? A) √²(x-x²) dx ²(x² -…

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Q: If a circle has a radius (r) with an indicated arc length of 34ℼ, and two central angles of aℼ/15…

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Q: 1. Given the function f(x) = sinx,x=(0,2€). Please find the intervals of increase or decrease, local…

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Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

Q: mpor dx oy 5-find or if f(x, y) = xe (x²³/2) дху 6- find

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Q: 1. Evaluate the lim [In (x)] using table of values. Table A (for x values that approaches 1 from the…

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Q: Find the limit if it exists. If the limit does not exist, explain why. (x+h)³-x³ C. lim. h-0 h |x+4|…

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Q: RULING AND SOLVING! 1. Review the basic concepts of Basic Rules of Differentiation. 2. Solve the…

A: Given 3. f(x)=(5x2+8x)3To find the deriative:

Q: A. Find the general solution of the following Initial Value Problem (IVP): y-2y-3y=5 cos (2t) 5²+1 1

A: This is a problem related to differential equation. Based on the general formula and concept we will…

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A: We want to find partial derivative of the given function.

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A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

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A: ∫16-x2dx

Q: Se ³ Sin xde Secus ad x X

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Q: (x − 2)2    if x ≥ 1. (a) Find the following limits. (If an answer does not exist, enter DNE.) lim x…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Given :7x+5ydx+5x-8y3dy=0

Q: . Use the definition of error function, prove that [²' ( ²² ) = √T z

A: On solving this we will get

Q: Use continuity to evaluate the limit. lim x→5 x   29 − x2

A: We have to determine  limit use continuity

Q: Q) Using the properties of logarithms, find the derivative of the following function (x²-1) √x + 1 y…

A: By using the properties of logarithms, to find the derivative of the following…

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A: Here we will calculate the linear regression  model,

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Q: Find the volume of the solid generated when the region enclosed by y = -√√x + 1, y = 0, and x = = 2…

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Q: Q3: Fill in the blanks in the following: A. If u= (1,6,-8) and v=(4,-2, -1) the xu B. The inverse…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

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Q: (x+h)³-x³ h C. lim- h-0

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Q: find -1 2 5+1 s(5+1)²

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Q: e- ed ence RULING AND SOLVING! 1. Review the basic concepts of Basic Rules of Differentiation. 2.…

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Q: (2x-2) dx sinx dx 2. 3. √xdx 4. J² (²2x²+4x-2) dx 5. So (cosx+tanx)dx 1/1/4 6. Jo ¹/2_dx =dx √1-x²

A: Solve by integration

Q: II. Evaluate the following: 1. f(x³ + 3x²)dx 2. f(x++2x²+1) dx 3. f(x³ + 3)dx

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Q: Write an equation of the line with the indicated slope and y-intercept Slope = -4 y-intercept = 3 y=

A: slope =m=-4y-intercept =3

Q: Q2. Let a(t) = 2j + 6tk be the acceleration of a particle at time t. If r(0) = −2i+j and v(0) = i,…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: If the area under the curve, f(x), between [1, 5] is 12, what is the average value of f(x)?

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Q: 1. Review the basic concepts of Derivative of a function. 2. Determine the derivative of each…

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Q: R: y = x² and x² = 18 – y

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