Use the half-angle formula for tangent to compute tan(θ/2) given tan(θ)=67/44 where 0<θ<π/2. (Leave your answer in exact form.)

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y…

A: Solution is written in below steps.

Q: Find the correct estimation of the value tan-1(2) by using Simpson's Rule with n = 4. A.) 1.1384 B.)…

A: Simpson's 1/3 rule ∫abf(x)dx≈h3(f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x3)+ ⋯ ⋯…

Q: Use the Intermediate Value Theorem to show that there is a root of the equation in the given…

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Q: The slope of the tangent line to the graph of f(z) COS at a is Select one: O a. 00 2 Ob. 2

A: we hav eto find the slope of the tangent line of the given graph at a=π/2

Q: Determine the point(s) in the interval (0, 2 ∏ ) at which the graph of f (x) = 2 cos x sin 2x has a…

A: Given curve: fx=2cosx sin2x

Q: Find 0 on the interval 0,-) 1 a) tan 0 V3 b) tan 0 = 1 c) tan 0 = 0

A: We need to find θ on the interval [0, π2) for the following. For (a),           tan(θ)=13⇒θ=π6+πnFor…

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: Given: y=lnsinx,  π4,3π4

Q: In which of the following points does the graph of f(x) = 2 cos x + sin 2x has a horizontal tangent…

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Q: Determine whether the statement (d/dx) [arctan(tan x)] = 1 for all x in the domain. is true or…

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Q: Use the Intermediate Value Theorem to show thatthere is a root of the given equation in the…

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Q: Find the circumference of the curves x=e^-2θ (sinθ+cosθ), y=e^-2θ (sinθ-cosθ) over the interval 0 ≤…

A: To find: The circumference of the given curves. Given information: Concept used: If a functions are…

Q: Find an interval of t-values such that c(t) = (cos t, sin t) traces the upper half of the unit…

A: Interval.

Q: All asymptotes to the tangent function occur when: O a) cos x = 0 b) sin x = 0 c) cos x = 1 d) sin x…

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: How does the periodicity of f (x) = sin θ and f (x) = cos θ follow from the unit circle definition?

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Q: Obtain graphically an approximately value of the root of x = sin x + Tt /2

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Q: Find the tangent of LJ. H. 39 J 11 Write your answer as an integer or as a decimal rounded to the…

A: From the given triangle the altitude of triangle can be found by Pythagoras theorem, h2=a2+b2a=h2-b2…

Q: The integral A B C D S³ x dx x² + √√√x²-1-1 sec²0 de 1+tano sine de 1 + cose sece tane de sece - 1…

A: We have to solve above integral

Q: plot the function and use the graph to estimate the value of the limit.

A: Using the graphing utility, we get following graph of function

Q: Rewrite f(x) = 5 sin(3x) – 2cos (3x) in the form A sin (Bx + C). Round your final angle to two…

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Q: Locate the first non trivial root of sin(x)=x2 where x is in radians. Use a graphical technique and…

A: Use the following MATLAB code to plot the given function f(x)=sin x-x2=0 clear;clc;

Q: Consider the function Vx² sin? COS X - X f(x) = Vx-1 sin ++1 Determine f'(0.25) using 3 point…

A: In this question, we need to determine f'(0.25)  using 3 point central difference with h=0.01.…

Q: . Use the trapezium rule to estimate the value of the following correct to four decimal places a)…

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: Consider the function f(xr)=x+sin(x), where the sin function is in radians (Beeler et al. 1972).…

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Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: The given question is the application of integration and solved as shown in step2.

Q: Using an appropriate substitution, f sin (x)cos (x)dx is equal to:

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Q: 1. please show steps and  please write clearly

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Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

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Q: FIND SIN' A WHERE A= at b

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Q: The integral I com S f se fse x dx x² + √√√x²-1. cose de 1-sin sinᎾ dᎾ 1+ cose sec²0 de 1+ tane sece…

A: Substitute x= secθ and solve . dsecθdθ = sec(θ) tan(θ).

Q: Use the Reduction Formula to evaluate the following (a) f sin“ x dx (b) S tan x sec4 x dx

A: (a) The reduction formula for ∫sinmxdx is given as the following.…

Q: Find the points on the cardioid r = 4(1 – sin0) at which there is a horizontal tangent line, a…

A: According to the given information, it is required to determine the horizontal tangent line,…

Q: Evaluate the function below from x = 1 up to x = 3. 1 Nova dx (x)(1 + (lnx)²), All associated angles…

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Q: Calculate the length of the curve r=a*sin(^3)(x/3) for (x(1)=0, x(2)=3pi)

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: Find the tangent of 2Q. 39 80 S. 89 Write your answer as an integer or as a decimal rounded to the…

A: tanx= perpendicular / base

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: To use the geometry we will change the polar equation into the cartesian equation first.  For that,…

Q: Find the trigonometric integral ∫tan   sec4   d

A: ∫tanxsec4xdx Take secx=t⇒secxtanxdx=dt.

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Find the tangent of ZH. H. Write your answer as an integer or as a decimal rounded to the nearest…

A: We know that tangent of an angle is a ratio of opposite side to adjacent side.

Q: Evaluate the expression under the given conditions. sin(0/2); tan(0) O in Quadrant IV (assume 0 < 0…

A: Given θ in IV quadrant So sine will be negative

Q: find the slope of the tangent line to r =8 sin(\theta ) at \theta =\pi /6

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Q: Find the tayler seris of f(x)=cos(x+pi/6) centared at a=pi/3

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Q: The length of the curve y = In(cos x), 0< x <:

A: To determine the length of the curve, y=lncos x, 0≤x≤π4.

Q: Find the arc length of the graph of the function f(x) : In(sin(x)) over the interval 11 7

A: Let's find.

Q: On the interval 0, 2n) determine which angles are not in the domain of the tangent function, f(e) =…

A: Consider the given: fθ=tanθ,   interval 0,2πDomain:The domain of a function is the set of input or…

Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0sos…

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Q: Find the arc length of the graph of the function over the indicated interval. (v² + 2)3/2, o sys5

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Q: At what points does the curve 2a cos t - a cos 2t, y = 2a sin t – a sin 2t x = ave vertical or…

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Q: Suppose v is in the interval (G, T ), with tan v = –3 Find the exact expression for the indicated…

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