口 4. Find the vertex of the given function: y=x² + 3x-4 O (-1.5, 6.25) O (-1.5, -6.25) O (1.5, -6.25) O (1.5, 6.25)

Q: 2) Solve dy 4x " x2+342 3x² + y²

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Q: Ind in =) will it take to reach the ground? [Hint: Find then the height equals zero.] (Round your…

A: Topic:- application of derivatives

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A: Use graph of function f(x)

Q: Direction: Find the zeroes of the following functions; 1. f(x) - 27-3 2. f(x)=512x+3)(x+2)…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

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Q: Q9. a) Graph the function f(x)=2x+1,if x-1 Find f(-1) and f(-3).

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Q: y T Q P R X n the figure above, line T is tangent to the graph of y = at point P, with bordinates…

A: To solve the following problem

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Q: Find f'(x) if f(x) 9x (8x+2) 4 2√9x²-6 18x+48 5 (8x+2) 4 -9x² +16x+10 5 4(92²-6) 2 (8x+2) 4 6…

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Q: Records indicate that t months after the beginning of the year, the price of SIBUYAS in local…

A: To find the average value during first three months.

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A: given  v(t)=4t2-6t+2for  f(x) in interval  a,b formula for average value is average=f(b)-f(a)b-awe…

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Q: What is the slope of the tangent line to x² cos² y sin y = 0 at the point (0, π)? - 0 -2πT 27²-1 O-1…

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Q: Given that the distance in feet that a car moves in t seconds is given by d(t) = 4t2. Find the…

A: Given: d(t)= 4t2  when t= 15

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Q: Repeat the approximation using left endpoints. Ln =

A: Given f( x ) = 1x + 3 [ -2 , 3 ]

Q: Question 3 Evaluate lim,-1+ f(x) if f(x) = = x +4 -x+1 x -1

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Q: Evaluate the given integral by changing to polar coordinates. (a) ff xy dA, Where D is the disk with…

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Q: 5. Find the area of the surface formed by revolving the graph of y = √x + 2 from x = 1 to x = 8…

A: The area of a surface of revolution is if f(x) is a smooth and non-negative function in the interval…

Q: 1- Sketch T and Evaluate the Integral S, divjav, being f(x, y, z) = (2xy +z)i + y²j − (x + 3y)k…

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Q: If ƒ(x) = 7x² − 7x − 24, find ƒ'(x).

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Q: (c) (d) y" +36y=0 d'y dx² +4dy +4+y=0; y(0)=2, y'(0)=1 dx

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Q: integrate the function F(x, y) = x³ over the triangle domain shown in d)

A: Using vertical strip find upper limit then find integral

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Q: A radioactive material is sampled from a site of leakage. In 2020, the amount of radioactive…

A: Let initial amount present in 1975 = x0Law of Decay x = x0e-ktk = constant t = time x = amount at…

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Q: For the function f(x) = 3 - (x + 1)³, find the interval on which fi increasing. O a. (-∞, 3) O b.…

A: given   f(x)=3-(x+1)3 for increasing  f'(x)>0dxndx=nxn-1

Q: Consider the vector function r(t) = (t, t¹, t8) Compute r' (t) = ( T(1) = ( r"(t) = ( r(t) xr' (t) =…

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Q: Select which of the following statements are valid results of multiplying the output of a function…

A: Given statement →when we multiplying output of a function by a constant a

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A: Estimated cost to constructing a building of n floors is:C(n)=2n2+431n+722

Q: The company FeOre is specialized in making rectangular flower boxes with a volume of 0.8 m³. The…

A: we need to find the minimal cost

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Q: Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval. Enter…

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Q: The position function of a particle is given by r(t) = (-5t², 5t, t² +4t). At what time is the speed…

A: Given that:.  r(t) =< -5t2, 5t , t2 +4t > Here position vector is given and we find what time…

Q: Use the 2 solutions Bernoulli's equation y' + y x -√y=0

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Q: Consider the following function: 5x 7x -11 1 -1 -7x 11 7 3 2 -X 12 0 0 0 1 f(x) = When f(x) is…

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Q: Which of the following expressions gives the length of the curve defined by R(t) = t²i-j+Intk…

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Q: 4. Let ₁ and ₂ be two nonvertical lines with slopes of m₁ and m₂ (respectively), and assume that mi…

A: Note: Since, the student has mentioned to solve question Part no. (D), so we are solving according…

Q: dy/dx = -3y(-2-y) y= ____

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Q: Find the derivative of the following -→7 Fcx) = sin-¹ (In x)

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Q: you

A: Topic:- function

Q: Find the area of the region bounded by the graphs of the given equations. y = 2x²y = 2√x Answer

A: Topic - Area between curves We are given curves y=2x2y=2x