Q: approximate the acceleration
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Q: Differentiate the function. y=(4x-4)° (3-x)? dy dx
A: Given query is to find the derivative of the expression.
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Q: Q4) Consider the function f(x)= x³ -7x+3=0. Use Newton Method, find the positive root of…
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Q: Given the function f(x) = x + e* Find the zero near the x=0.5 using newton-raphson method.
A: Newton-Raphson method uses the formula below to perform the iterations. xn+1=xn-f(xn)f'(xn)
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Q: Calculate the error of approximation with EA for the following functions Fix) = In 3x. when x = 4…
A: EA = 0.0030056
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Q: sint Given that f(t) = Cost Express f(t) in terms of a
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Q: t 2 If the velocity of a moving object is y(t) = --- 2 12 in meters per second, then what is its…
A: The veloctiy of a moving objcet is v(t)=t2-2t2 in meters per second.
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A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…
Q: f'(rr), where f(t) = sint cost
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Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation…
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Q: Q3. A particle moved according to the relation (S = sin 2t – 5t). Find the velocity and acceleration…
A: S=sin(2t)-5t
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Q: A ball is dropped from a 200 foot cliff. If gravity is 32 ft/sec2, find the position function of the…
A: Given :- Initial height of ball (S0)= 200 feet Accelaration due to gravity(g) = 32 feet/sec2…
Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3 +2x2 y 5=1
A: Differentiate the given equation with respect to x.
Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x 3− x4 y2 =-2
A: We have to find derivative of curve (implicitly).Curve equation is given by:
Q: Find- for the following function dx x=a(cost + t sint).y=a (sint-tcost)
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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x4-3xy2=2
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Q: H15 Find F!(X) if F(X) = [X sint?dt
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Q: LET F(X) = SIN(2X). TO FIND OPTIMUM STEP SIZE, M VALUE WILL BE: а. 4 b. 1 с. 2 d. 3
A: The value of sin(x) range from -1 to 1. Thus, maximum value of f(x) = sin(2x) is 1.
Q: Use Newton’s method to find the root, x⋆, of the equation, f(x) = x^2e^−x − 0.6, up to machine…
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Q: Q5/ Estimate the root of the following function using Newton-Raphson method, employing an initial…
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Q: A particle moves along the x−axis according to the equation x(t)=2t3+6t2−6t+1, where time t≥0 and is…
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Q: Consider the function f(x) = e^x2−6x+5 . Find the value(s) of x at which the tangent line is…
A: Given thatf(x)=ex2−6x+5ddx(f(x))=ddx(ex2−6x+5) =ex2ddx(x2) −6 =2xex2-6
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Q: Q2\A telegraph cable is made of an outer winding around an inner core. If x is defined as the core…
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Q: Q3: b) Consider the function f (x) = tan(nx) – x – 6. Use the Newton method to | evaluate a root of…
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Q: Use the method of Green's function to solve y" + y = sint, y(0) = 1, y'(0) = -1.
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Q: Consider the acceleration function of an object on a projectile motion is a (t) = -32. If v (0) = 28…
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Q: Consider the function f(x)=7x³ – 8x + 4. Find the solution of the equation f(x)=0, within 10-6,…
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Q: Differentiate the following function. y= 3 e*(3+5e*)? dy dx
A: According to the product rule of differentiation we have: ddxf(x)·g(x)=f(x)·g'(x)+g(x)·f'(x)
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A: Follow the procedure given below.
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Q: Please solve the Vƒ of the function below at point P. a) f = (x² + y² + 2)-05, P; (12,0, 16) b) f =…
A: a) The given function is f=x2+y2+z2-0.5. This gives ∂f∂x=-0.5 x2+y2+z2-0.5-1…
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- Given v1 = 3.54 +- 0.1 m/s v2 = 8.16 +- 0.1 m/s t = 2.79 +-0.1 m/s Find the acceleration with uncertainty given that a = v2-v1/tI know the answer for the uncertainty is 0.08 m/s2, I am just confused on how to get that?Suppose that the position of a particle is given by s=f(t)=3t3+5t+9s=f(t)=3t3+5t+9.c) Find the acceleration at time tIf the acceleration function (in m / s ^ 2) and the initial velocity of a particle moving along a line are known, is it possible to know the distance traveled by the particle in a finite time interval? If your answer is no, indicate what data is needed to know this answer. Argue. If your answer is yes, determine this distance if,
- A ball on a spring is pulled 4 inches below its rest position and then released. After t seconds, the ball’s distance, d, in inches from its rest position is given by:Find all values of t for which the ball is 2 inches below its rest position.A particle moves along a straight line so that its coordinate at the time t is s(t). It is known that its acceleration equals a(t)=36t+8 and that s(0)=6 and v(0)=5. Find the precise expression for s(t).Given the position of a car a time a, is defined by s(a) = 3a^2 -15a a. Is the car moving forward or backwards at a = 3? Show work b. Is the car accelerating or decelerating at a = 3?
- A particle moves along a straight line so that after t (seconds), its distance from Oa fixed point on the line is s (meters), where S-t^3-9ti) When is the particle at o?ii) Whatis the particle velocity and acceleration at these times?ii) What is its average velocity during the first second?iv) What is its average acceleration between t=0 and t=3?According to one model that attempts to account for air resistance, the distance s(t)(in meters) traveled by a falling raindrop satisfies d2s/dt2=g−0.004/D(ds/dt)^2 where DD is the raindrop diameter and g=9.8 m/s^2. Terminal velocity vtermvterm is defined as the velocity at which the drop has zero acceleration (one can show that velocity approaches vtermvterm as time proceeds). Find vterm in terms of g and D. Find vterm for drops of diameter 10^−3 m.The velocity (in meters/sec) of a particle moving along a straight line is given by v(t)=4t2−2t+3, where t is measured in seconds. Answer the following questions given that the initial position s(0)=7 What is the meter position of the particle at any given time t, what is the meter position of the body at time t=4, what is the meter position of the particle at time t=9, and what is the displacement of the particle on the time interval 4≤t≤9?