. Two students were playing the same game. The difference in points that each scored for the game can be modeled by the function y 0 < x < 6, when is the difference in points the smallest? 5 sin x + 3 sin x cos x. Within the interval

Q: The figure below shows y = 2 sin (5x) and y = 2 sin (10x). e 1Y f(x) g(x) Which graph is y = 2 sin…

A: Given ,  The figure of y = 2 sin(5x)  and y = 2 sin(10x) Here ,  The graph of y = 2 sin(5x) is blue…

Q: If S (x) = - sin(x), then f (11) (x) is equal to – sin(x) B B -cos(x) CosX sin (x) D O cos(x) A,

A:

Q: If f(1)=3, f(1)=1, g(x)=cos x, and h(x)=[f(x)]/[g(x)], then what is h'(1)? Round to the nearest…

A: The given mathematical expression is the derivative, which can be determined with the help of…

Q: 13) The positions of two particles on the s-axis are s1 = sin t and s2 = sin t+ with sj and s2 in…

A: Solution

Q: 4. Given f(x)= sin 6x cos 6x dx , what is f| | if f(0)= x ? A. π В. О С. 2л D. — я

A: This integration can be integrated by using substitution method. Clearly it is observable that put…

Q: 2. The period of the function f(x) 105 sin(210x + 420) is A. 420 B. 105 C. 210 D. 105

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Q: y = 7 tan x, for x in 2'2

A:

Q: 2. STO Find the length of the graph of y = 2+ In(sin z) om the interval [7/4, 7 /2].

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Q: what values of x is f(x) = 2 tan(x + π/6) discontinuous?

A:

Q: 1 Upon which interval is the function f (x) = COS x ) increasing? 2 O A. 0 < x < 27 В. О <х < т С.…

A:

Q: If f (x) = – sin(x), then f (11) (x) is equal to A -sin(x) B - cos(x) © sin(x) D D cos(x) B

A:

Q: 2 Find the maximum and minimum values for f(x) = . Determine the -4 + cos x+ V3 sin x angles at…

A: Consider the  given function fx=2-4+cos x+3  sin x The value of the function at the endpoints of the…

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A:

Q: 20. sin? x cos? x dx

A:

Q: Find the domain and range of each fuction f(x)=V sin x– cos x -

A: f(x) =sinx-cosx The number inside the radical must be greater than or equal to 0.    sinx-cosx≥0…

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A: Introduction: The definite integral is used to determine the volume of a solid that is enclosed by a…

Q: Given a function f(x,y,z) = (x+1) In (10y - 6) sin (4z). Find the range of the function.

A:

Q: Ex2: Use the identities 4 and 5 to prove that: cos(x- y)-cos(x+y) (a) sin x sin y = 2

A: Formula used -  cos(A-B) = cosA cosB + sinA sinB  cos (A+B) = cosA cosB - sinA sinB

Q: Match the function with its graph. 1) y = 2 + sin x 2) y = 2 + cos x 3) y = -2 + sin x 4) y = -2 +…

A: Since you have posted multiple questions. We will solve the first question for you. If you want any…

Q: Evaluate va 3 cos a sin x dx. + C

A: To find: The value of integral ∫cosxsin3xdx. Formula used: The trigonometric relation is…

Q: 29. How many periods are between o and 2n for the function y= cos5x. A. O B. 3 C. 2 D. 1 E. Not…

A: We have to find  no of period

Q: How many petals does the rose curve r = 3 sin 40 have in the interval [0, T]? O 16 O 4 O 8

A:

Q: The domain of the function f(x)= cos s(-1) is [0,8]. Then k. Answer:

A:

Q: 1. please show steps and  please write clearly

A:

Q: Solve the equation for x in terms of y if x is restricted to the given interval.

A: Given: y=2+3 sinx x∈-π2,π2

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A:

Q: 5. Find the extrema and the coordinates of the points of inflection for the graph of f (x) = sin?x –…

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Q: 3) Solve S(4cos? x+4 sin? x)dx

A: Given:

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A:

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A: the function is odd if

Q: Solve the equation for x in terms of y if x is restricted to the given interval.

A: Given, y=-3-sinx x∈-π2,π2

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Q: p = 0 is Select an answer | of f(x) = sin(x) – 6

A:

Q: On what interval is the identity sin (sin x) = x valid? (A) [0, 2x] (В) (C) [0, x] (D) [-1,1] (E)…

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A:

Q: Evaluate the given function tan?ydy = sin xdx is equal to.. 30 3 (tany - у) А. Зх- = cos³x + cosx…

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Q: Find all values in the interval [0°,360°) that have the given function value. cos 0 = 2

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Q: s f(x) = sin(wt) odd, even, or neither? show graph and solution

A: Given: ft=sinωt   Analytically, we can check whether the function is even or odd with the condition,…

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Q: The function f(x) = sin(kx) contains the point A(, -1). The function is: Oa) f(x) = sin(-x) Ob)…

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Q: b. sin? () = 2 over [0, 2n) %3D

A: EXPLANATION

Q: Q1:- Solve the following DEs:- xy2-cos x sin x y' = У(1-x?)

A:

Q: How many points lie on the intersection of the horizontal line y = c and the graph of y = sin x for…

A: The equations are: y = c y = sin x where 0 &lt; x &lt; 2π

Q: Find r (3) /" (종), /" (주) , f' (), ), fm given f (x) = sin a cos 3x

A: Given: fx=sinxcos3xf'x=cos4x-2sinxsin3x To find: f''π3=?f'''π3=? Formulas used:…

Q: 6. What is value of y that is no y = sin-1 x? A. 0 С. B.

A: here we have to find the value of that is not in the range of the function y=sin-1x

Q: Find the extrema of the function on the given interval, and say where they occur. 11) sin x + cos x,…

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Q: sec x + coOS x dx 2 cos x

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Q: f(x) = V sin x – cos x (- cos

A: Given the function  We need to find the Range and Domain of the given function.