The motion of a cam is defined by the relation @=0.30t(12-t2) where @ is expressed in radians and t in seconds. Determine the angular displacement, angular velocity and angular acceleration of the cam when t=4seconds

Q: 20. Show that -V3 is in the range of the tangent function by finding an angle 0 for which tan 0 =…

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

Q: tangent

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Q: Approximate sin 179 degrees using linear approximations.

A: Approximate Sin179°  using linear ApproximationLet x = 179° ,  a = 180°,  Hence∆x = x-a = 179°-180°=…

Q: Find the tangent of ZE. G 28 45 53 Write your answer as an integer or as a decimal roun tan (E) =…

A: The tangent of an angle is given by the formula- tan x=Perpendicular/ Base Now, in the given figure…

Q: Use a sketch to find the exact value of sec(sin-1 1/2).

A: Now

Q: d). Find an equation of the tangent line to the graph of sin(x+ y)= y´ cos x at () and graph this…

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Q: An observer stands 1,200 m away from a launch pad to observe a rocket launch. The rocket blasts off…

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

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A:

Q: A 15-centimeter pendulum moves according to the equation θ= 0.2 cos 8t, where θ is the angular…

A: Given θ=0.2 cos 8t To determine the maximum angular displacement θ is maximum, when…

Q: find y" (second derivetive) of the function y = cos(2x) 3 - 2 sin²(x) and find the inflection point

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Q: Is the cosine function even, odd, or neither? Is its graphsymmetric? With respect to what?

A: The function is given as fx=cosx......(1)

Q: State the half-angle identities used to integrate sin x and cos x.

A: Half Angle Identities are the formulae/relationships used in trigonometric functions to reduce the…

Q: Find the tangent of ZE. F 56 65 Write your answer as an integer or as a decimal rounded to the…

A:

Q: A revolving beacon is situated 380 feet off a straight shore. If the beacon turns at 4.2 radians per…

A: Given revolving beacon is situated 380 feet off a straight shore and it turns at 4.2 rad per sec.…

Q: Use the guidelines of this section to sketch the curve.

A:

Q: At any point (x,y) on a particular curve, the tangent line has a slope equal to 1+ sin (x 5) If the…

A: At any point (x,y) on a particular curve, the tangent line has a slope equalto 1+sinx-π2, the curve…

Q: A 10-foot ladder rests against a wall. If the top of the ladder starts sliding down along the wall…

A:

Q: Finf the equation of the tangent line to (cos(x)ex10x)/(Sec2(5x)+1)+11 at the point (0,11)

A: Given,           The equation of the tangent line to (cos(x)ex10x)(sec2(5x)+1)+11  at the point…

Q: Use a sketch to find the exact value of:

A:

Q: Determine the points in the interval (0,2\pi ) at which the graph of the function…

A:

Q: A transformed sine function has a maximum value of 6 and a minimum value of -4. What is the…

A:

Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

A: Use derivative

Q: Find the directional derivative of J(, 9) + 3y at the point (2, the direction 57 radians.

A:

Q: A particle moves along the parabola y = x2 in the first quadrant in such a way that its x-coordinate…

A: The x-coordinate (measured in meters) increases at a steady 10 m/sec. So, dx/dt= 10A point on the…

Q: Determine the values of the other functions given that tanθ= 4/11, θ not included in the first…

A: Given that: tanθ=411 and θ not included in first quadrant.

Q: Estimate sin (31) using an appropriate tangent line to the graph of y = sin(x).

A: Consider the provided question, We need to estimate sin31° by using tangent line to the graph of…

Q: Find the points on the curve where the tangent line is horizontal or vertical, r=1-sin⁡θ and sketch…

A:

Q: a tangent line to approximate the value of sin( + to three decimal places.

A: Let f(x)=sinx. We have to use the tangent line to approximate the value of sinπ4+1100. The formula…

Q: Find the slope of the tangent line to the sine function at the origin.

A: Given, (a) y = sinx  (b) y = sin8x  We have to find the slope of  tangent line at the origin to the…

Q: What is the reciprocals of the tangent functions ?

A: The reciprocal of tangent function is the cotangent function.

Q: Use differentials to approximate the value of sin 28 degrees . Note: For ∆x, express degrees in…

A: sin 28° = 0.46977

Q: Determine the equation of the tangent line to (a) r = 2 sinθ at θ =π/6 (b) r =1 + cosθ at θ =π/2

A:

Q: & tan B give

A: We have to find

Q: A particle moves to the left of the parabola. r=4/(1+cos theta) with constant speed of 4 ft/s. when…

A:

Q: A 10-foot ladder rests against a wall. If the top of the ladder starts sliding down along the wall…

A: Solution is given below..

Q: A ladder 12 m long rests against a vertical wall. Let theta be the angle between the top of the…

A:

Q: Find the slope of the tangent line to the graph of r = 2-2 cos e when 0 %3D

A:

Q: What is the amplitude of the sinusoidal function f(x) = ,sin(x) ? Is the function stretched or…

A: The amplitude  of a wave is the distance from the centre line (or the still position) to the top of…

Q: What is the relevance of the study of cosine, sine and tangent of sum and difference of two angles…

A: Given

Q: Find the equation of the tangent line to the graph of the equation sin-(x) + sin-(y) at the point

A: To find the equation of tangent line to graph of the equation given below,

Q: Find the points on the given curve where the tangent line is horizontal and vertical. r=1-sin(theta)

A:

Q: Find the Valve of నలాకె Sin

A:

Q: Can we use the same techniques to find the derivatives of the other three inverse trigonometric…

A: here we have to use the same techniques to find the derivatives of the other three inverse…

Q: An object moves in simple harmonic motion with amplitude 11 m and period 2 minutes. At time t 0…

A: here initial displacement is zero so choose the sine function  d=Asinbt here amplitude is A=11m but…

Q: tan e de sece+ 4 cos € COS

A: The given integral is tan(phi)/[sec(phi)+4cos(phi)]

Q: Find all the points where r = 2 + sin theta has vertical and horizontal tangent lines.

A: Consider the given question,Express the given polar equation in the parametric form as follows,

Q: A particle moves along the parabola y = x2 in the first quadrant in such a way that its x-coordinate…

A: Let the particle is at the point (x,y) at any time t in first quadrant where y=x2  Its x-coordinate…

Q: Use an appropriate local linear approximation to estimate the value of sin(31°).

A: