Determine the area of the shaded region bounded by y=-x² + 6x and y=x² - 2x The area of the region is (Type an exact answer.) (

Q: 3 If ƒ (x) = 2 + x, evaluate Σƒ (k+1). k=1

A: We can answer the question as below.

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A: We have to evaluate the integrals.

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A: Topic:- application of derivatives

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A: The given position vector is  Rt=t i + t2 j + t k.   The velocity vector is given by Vt=R't=i+2t j…

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A: Given velocity v(t)=t2-1 To get the total distance traveled, we have to integrate the velocity…

Q: annat pe 4 panda 40 god = mode O xp (9 − xx + ₂x) J rester auf dienser og ressatur aut to conflittop…

A: ∫24x2+3x-6dx=∫24x2dx+3∫24xdx-6∫24dx

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Q: Given f(x)=e²x, determine the value of f(¹¹) (11th derivative)

A: Given  f(x) = e2x. We have to determine the value of  f11.

Q: 12. Determine whether the following is true: (a) ≥3, EZ, 31(2²" - 1); n (n + 1)(2n +1) (b) 12+22+ 32…

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Q: Use the graph of the function to estimate the intervals on which the function is increasing or…

A: We can answer the questions in the following steps.

Q: 2 94

A: according to question function is f(x)=x+4 x=1,2,3,4 f(1)=1+4=5 f(2)=2+4=6 f(3)=3+4=7

Q: A line passes through points A(-1,-5, 9) and B(8, 5, - 15). A vector equation for the line is 7=(-1,…

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Q: 2 6) Compute the area bounded by y² + 2y + 4 and y = 4.

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A: The objective is to use interval notation to determine where f(x)>0. 2 and use interval notation…

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A: Here we have to find the values of f(x).

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: To give the solution with proper explanation for the given problem. To find the indefinite integral…

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Q: i cant understand this cuz it type

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Q: 8. Use the Chain Rule to find az/as and az/at. z = (y-2x)³, x = s³t², y=s+t²

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Q: 1 The length of the curve y = x³ + x¹ from x = 3 to x = 4 is: a. b. C. d. 145 16 257 12 99 8 593 48

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A: Given the oil delivery rate,          D(t) = 5t/(1+3t)  gallons/hour  Here 't' is in hours. We can…

Q: Find the limit of s(n) as no - + [n(n+¹)] s(n) Submit Answer

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Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

Q: .Use interval notation to determine where f(x)>6.

A: We have to find the intervals when f(x)>6.

Q: Explain how the fundamental theorem of calculus relates integrals and derivatives. Formats T B T U…

A: Fundamental theorem of calculus relates integrals and derivatives.

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A: Here is the solution:

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Q: 15 Lo - - dx 15 X (x + 1) ²/ O 0 O or| 800 88 O 1 O 176 5

A: The answer is 0.

Q: 7 Write a limit using summations that would equal S Answer: lim N→∞ n k=1 [x³ - 4] dx. Submi

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Q: Cliff left point A at 8:00 A.M. walking east at 3 kph. Renz left point A at 9:00 A.M. walking north…

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