Suppose 0(t) measures the minimum angle between a clock's minute and hour hands in radians. What is e'(t) at 1 o'clock? Give your answer in radians per minute. (Use symbolic notation and fractions where needed.) e'(t) rad/min

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A: Given:  tan θ = -3To Find : The value of θTo Show:  -3 is in the range of the tangent…

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A: We have given For x = 4 units, x’ = 6 units/s and for y = 5 units, y’ = -1/5 units/s.

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A: Consider the provided curve, r=8-6cosθ where θ=π4. Find the slope of the curve. First we converting…

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A: y-y1=dydxx-x1

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A: Topic = Function

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A: We first find the derivative at (0,1) to find the slope

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A: First of all, we find the equation of a tangent line to the curve: g(x)=-4-sin(1-e5x) at x=0, Note…

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A: On solving this we will get

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A: Slope of tangent,m  = dy/dx Equation of tangent to curve at point (x,y) y -y1 = m (x -x1 )

Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

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A: There is an exponential representation of sinhx. Whenever we analyse various properties of sinhx, we…

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A: Here y is given find.slope.from.it then solve as below

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A: the equation of the tangent line at (x0 , y0) is y−y0 = m (x-x0)

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A: Given equation of the curve - r = 2-2cosθSlope of the tangent to the curve is given by drdθ,drdθ =…

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A: Given curve:      2xy + 4x = y2 - tan2x   slope of the tangent line  =  ?

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A: The given paramedic equations are,

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A: We need to find equation of curve.

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Q: Let θ(in radians) be an acute angle in a right triangle and let x and y, respectively, be the…

A: It is given that for x = 8 units , x’ = 8 units/s and for y = 1 unit, y’ = 1/9 units/s.The rate of…

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Q: 3. Find Hhe to the (1,2) slope of the tangent live r=2-sin@ at the point curve

A: Then we plug this in the slope formula of the polar curve

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A: Point -slope form : y-y1=m(x-x1) ; where 'm' is slope and (x1,y1) given point.

Q: 1- Find the equation of the tangent to the curve y= 2 sin x+ cos2x at the point x = n. 2- Find the…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

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