Standard Form: Let A, P, H, and V be real numbers with A+0 and P >0. Then, y = Atrig(P(x – H)) + V, %3D where "trig" is the trigonometric function indicated by “sin", “cos", “csc", “sec", “cot", or "tan". f(x) = -3 sin(2x) +1

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A: Given, Diameter of the Ferris wheel = 20 feet Wheel rotates counterclockwise and makes 2 revolutions…

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A: Unit circle for trigonometric ratios (given in question).

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A: Topic :- Application of derivative

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

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Q: The range of the trigonometric function f (x) = 1 + cosx is COSX IS a) (-∞, +∞) b) (-1,1) c) [0,2]…

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Q: Below is a value of cosh x. Use the definitions for hyperbolic functions and the identity coshx-…

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Q: Adobe Reader uch 2. Find the maximum and minimum values of f(x) = cos? a – values of a do the…

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Q: Let, the trigonometric function f be defined as f(x)= - 3 sin (7x) a) the amplitude of f is: b) The…

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Q: Find and graph the function of the form y = a sin x that passes through 2 The function y= ) sin x…

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Q: 2n Consider the function y = 4 sin (x+)- 1. Wha 1. What is the period of the function?

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Q: In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but…

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Q: Many relations in biology are expressed by power functions, known as allometric equations, of the…

A: The weight of a male hognose snake is w=446x3 Also, we have, dxdt=0.2 meters per year

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Q: Q1 Solve the following questions. a) Sketch the graph of quadratic function, and indicate vertex,…

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

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

A: Given the function          f(x) = 6sinx+6cosx Find the inflection points and its concavity.

Q: The range of the trigonometric function f (x) = 1 – sinx is a) (-0, +0) b) (-1,1) c)[-1,1] d) [0,2]…

A: Given that we need to find the range of trigonometric function  f(x) = 1 - sin x As we know that  -1…

Q: express in Cartesian equation and evaluate it shape. Hence, sketch the graph of the curve and…

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Q: 3. Given tan 0 = , n < 0 < , 15 I < 0 < *, 8 2 find the exact function values for sin and tan -.

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Q: 4. The point P lies on the unit circle, making an angle of measure 0 with the positive x-axis. a.…

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Q: Determine the amplitude of the function y = (1/4)sin x.Then graph the function and y = sin x in the…

A: Given- y=14 sinx To find-  The amplitude of the above function and draw the graph of the y=sinx.…

Q: Match the trigonometric function with one of the graphs I-VI. f(x) = 1 + csc(x) ---Select-- v II III…

A: The given function is  F(x) = 1+cosec(x)

Q: The derivative of the trigonometric function y = x csc 3x is A. -csc 3x ( 1 + 3 cot 3x) B. csc 3x (1…

A: d(u.v)dx=u.dvdx+dudx.v  [ Product Rule of differentiation ] d(csc (x))dx =-cot(x)csc(x) dxndx=nxn-1

Q: sin z coS I Q1-Solve by hospital rule lim

A: Given problem is :

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Q: dx Using trigonometric substitution S = sin(0) + C, express the answer in terms of x. 3 (x²+x+1)7

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Q: Match the trigonometric function with one of the graphs I-VI. f(x) = 1 + csc(x) -Select--v Grap II

A: As we know the graph of sin(x) :

Q: Match the trigonometric function with one of the graphs I-VI. f(x) = -tan(x) ---Select-- v II III 37…

A: tan x= sin x/cos x  So the domain of tan x is the same as the domain of cos x which is all reals…

Q: Two sound waves, producing the pressures P1 = 6 sin(4007tt) and P2 = 8 cos(4007t), combine on a…

A: A sinusoidal function equation is of the form y=AsinBx-C+D. Here, x and y are variables and A, B, C…

Q: الوقت المتبقي 24:12 Identify the trigonometric function from the grap a) f)-2stnx b)/(x)-2+ sinx…

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Q: The terminal side of angle θθ in standard position lies on the line -6x + y = 0 . Find a point that…

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Q: Q1 Solve the following questions. a) Sketch the graph of quadratic function, and indicate vertex,…

A: We have to find the given condition

Q: Q1 Solve the following questions. a) Sketch the graph of quadratic function, and indicate vertex,…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Consider the function, y= 5 sin 1.5 (x+60°)-5. Determine: a. The midline of the function. b. The…

A: Given function is y=5sin1.5x+60°-5

Q: Determine the minimum and maximum value of the following trigonometric function. f(x) = -3 sin x…

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Q: Use the unit circle to find all values of 0 between 0 and 2TT for which tan e V3 3

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Q: Match the trigonometric function with one of the graphs I-VI. Graph, 1, 2, 3, 4, 5, or 6 5 f(x) = 2…

A: Given query is to find the graph  f(x) = 2 sec(x)

Q: -1 If f (x) = sin(x), then what is the value of f' () in simplest form? %3D

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Q: Using the trigonometric substitution x = 8 sec 0, x = 8 and 0 < 0 s5. express tan 0 in terms of x.

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Q: Identify the trigonometric function from the graph. 34 a) f(x) = 2sinx b)f(x)- 2+ sinx c) f(x) = 2 +…

A: option(d) is correct f(x) = 2 cosx

Q: Determine the amplitude of the function y = (1/3)sin x.Then graph the  function and y = sin x in the…

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Q: Find the algebra expression of Hyperbolic functions: a). sin and cosine b). cosine and tangent

A: Hyperbolic functions are analogues of the ordinary trigonometric functions, where it is defined…

Q: Match the trigonometric function with one of the graphs I-VI. f(x) = -tan(x) Graph 1, 2, 3, 4, 5, or…

A: Shown below

Q: Find the harmonic function w(x, y) = ax2 + bxy + cy2 , in cartesian coordinates, that takes the…

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Q: A standard sinuosoidal function, such as sinx and cosx, has a period of 2*pi and at any given…

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Q: Identify the trigonometric function from the graph. 3y a) f(x) = 2sinx b)f(x) = 2+ sinx c)f(x)= 2 +…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.