Question Select your answer. A ball is thrown vertically upward. Its height h feet after t seconds is given by the formula h(t) = 128t – 16t². What is 16 feet the maximum height of the ball? 4 feet 64 feet 256 feet Answer

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Q: 1. The Fibonacci sequence is given by the recurrence relation a, = a,-1 + a,-2; a, = 0, a, =1. Write…

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Q: Solve the following items and show your solutions. a.) Find the general and particular solution of…

A: x dydx+2 y =4x2dydx+2x y =4xComparing with Bernouli's equation;y'+P(x) y = Q(x)P(x)=2x, Q(x)=4x

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Q: Direction: Solve the following equations using separation of variables. 3. 2xy + 6x(x² – 4)y' = 0…

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Q: -Ihd the x-values of all points where the function has any relative extrema. Find the value(s) of…

A: f(x)=-103x3-512x2-5x+19f'(x)=-3×103x2-51×22x-5⇒f'(x)=-10x2-51x-5f'(x)=0⇒10x2+51x+5=0By quadratic…

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Q: Find the area bounded by the parabolas y^2 = 4 –x and y^2 = 4 – 4x.

A: I am attaching image so that you understand each and every step.

Q: 4v-16v²dv

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Q: Evaluate using Linear Equations. v(dv/dv)=6ve"+x(2v-1) O xv-(3v²+C)elt O None of the choices O…

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Q: In Exercises 5–8, choose rectangular or polar coordinates to set up an iterated integral of an…

A: To set up the integral of an arbitrary function f(x,y) over the given region.

Q: statements is NOT true?" a = 230, b = 150, C = 95° The length of the third side is 25.13 unite The…

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Q: Q3.3

A: We have to find the value of the given definite integral according to the given information

Q: Direction: Find the differential equation of the family of curves described. 1. Find the…

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Q: S x³et*dx

A: A detailed solution is given below

Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) 2, Vw(10, 5, -2)…

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Q: (b) Draw the graphs of the solution and of the forcing function; explain how they are related. [1, 0…

A: Given

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what wil be…

A: Cylinder, Hemisphere and Cone have same bases i.e. all three have same radii (say r) Also the height…

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Q: What value of x minimizes C = 0.005x2 provided that C must be positive and x is within (0,1)

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Q: :- 3) y cos 20 2 1 3 a: b: Period: C: d: Phase Shift: 21/3 downi

A: Find your answer below

Q: 2. Find the differential equation of the family of circles having their center on the y-axis.

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: We can solve the given problem as follows:

Q: Determine whether P = and Q = are orthogonal vectors. If W = and V =, compute V x W. If W = and V =,…

A: Explanation of the answer is as follows

Q: dx x* +3

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Q: Use the figure to estimate the limits if they exist. 30+ 20 10 -10 10 20 30 If the limit does not…

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Q: dr Find if r sin[cos(-0)I. dr dr cos[sin(-0)] = sin 0 cos(cos 0) d0 d0 Option 3 Option 1 dr dr - sin…

A: The objective of the question is evaluate the derivative of the given function. Note -  As per our…

Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. ρ=mass per unit…

Q: Г(81)

A: I am attaching image so that you understand each and every step.

Q: Consider the function  f(x)=4/x^2−3/x^5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then…

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Q: 4014H al

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Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: We need to find orthogonal trajectory.

Q: der the following planes. 5x + 2y – z = 44 x – 4y + 2z = 0 (a) Find the angle between the two…

A: Angle between planes and line of intersection of planes

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Q: What is the value of the trigonometric expression below? * sin 0° + sin 1° + sin 2º + sin 3º + ... +…

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Q: A ball is thrown vertically upward. Its height h feet after t seconds is given by the formula…

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Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: For orthogonal trajectory we replace dy/dy by -dx/dy

Q: Solve for the following application of first order differential equations. Show your solutions. 3. A…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) (b)…

A: Given: xyz=12 (1,3,4)

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: In arcsin x (V1-x²)arcsin x

A: Given:     ∫lnarcsinx1-x2arcsinxdx    =∫lnarcsinx1-x2arcsinxdx substitute…

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Q: dx Example: Evaluate 3 + sin x + cos x

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Q: 4. The graph below depicts a function g(r). Its one asymptote is indicated in red: 4 -5 -4 -3 -2 -1…

A: Find your answer below

Q: rals below. For each integral, first calculate the related indefinite inte- on by Parts, then…

A: We will find the integration.

Q: Direction: Solve the following equations using separation of variables. 2. y' = x(1+ y²)

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Q: x = y² – y, x = y – y² |

A: The solution is given in the next step.