-√2/2 x² √1-x² Evaluate √²/2 dx. Show the details!

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Q: Let z(x, y) = xey where x = t³ & y = 3₁+ 4t. dx dy dz dt dt dt Calculate dx dt = by first finding =…

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Q: 4. Compute F. dr for the vector field F(x, y) = (1 + x², xy²) and the curve C is the line segment…

A: ∫CF⋅dr for the vector field F(x,y)=⟨1+x2,xy2⟩C is the line segment from (0,0) to (1,3).

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A: Given that,.We know that, .

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Q: If 5 11 f(x)da = 9 then the average value of ƒ(a) on the interval [5, 11] is 3/2. True O False

A: Given a statement  if then the average value of f(x) on the interval  is

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A: See that the general form of the conic section iswe can analyze the coefficients for any conic…

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Q: 1. Another way of writing 5-³ = A. log 1 5-3 125 13 is: B. log-35 = 1 125 C. logs 125 =-3 D. log5-3…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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Q: Locate the stationary points of the function. f(x) = f'(x) = 2-5 (x+1)+4 Find when f'(x) = 0, hence…

A: We need to find the derivative of f(x) and stationary points.

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Q: 5 17. The marginal profit function for a company can be modeled by P'(x) = - 5x+3 thousand units…

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Q: (a) Calculate lim f(x) if it exists. If it does not exist write “DNE”. x→4 lim f(x) x →4 - (b) Find…

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Q: 3) A point has coordinates (3, -24°). Fill in the missing coordinate so that it is the same point:…

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Q: 1 Find the local and absolute extreme values of the function f(x)=x√1-z on [-1,1] (Show your work)

A: Absolute extrema are the largest and smallest value of a function that will ever be.

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Q: The Computer Password As you enter the spacecraft, you look to connect your computer. To your…

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Q: ∞ (6) Σ sin n 0

A: given series

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Q: 12 A population of yeast cells devleops with constant relative growth rate of 0.4159 per hour. The…

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Q: 2x + 1 (b) √ ² (1 − x) -dx

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Q: the sho wh Solve innitial valve problem below: g/1-16y=e4x² g (0) = 10₂y '(a) = 7

A: The given equation is; y''-16y=e4x, y(0)=10, y'(0)=7

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A: The given function is  The maximum rate of change of function f(x,y) is

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A: The given series .The aim is to find the sum of the series.

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A: The graph of the function f(x) is shown as,

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Q: If cos a = 0.439 and sin ß= 0.944 with both angles' terminal rays in Quadrant-I, find the values (a)…

A: Given that  and both angle's terminal rays in Quadrant I

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Q: Calculate the value of a that will make the function below continuous. f(x)=x²-2.x ax² +2 if x>1 If…

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Q: Let f(x) = 3x(3 − x)²

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Q: Jse Green's Theorem to evaluate 2xy dx - 3y² dy, where C is the circle x² + y² =1

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Q: Let f(x) = 2x − 2 and g(x) = 1 – x².

A: Given Function

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A: To determine whether the following series converges or diverges.

Q: Evaluate 1524-423 +7z² dz. Round your answer to two decimal places. ₁524-42³ +7z² dz = [Number

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Q: Let f(x, y) = x² + 2yª + 40xy. List the critical points: The critical point at the origin is a…

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Q: 6. Find GCF (156, 24) and LCM (156, 24)

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