Identify the trigonometric function from the graph. 34 a) f(x) = 2sinx b)f(x)- 2+ sinx c) f(x) = 2 + cosx d) f(x) = 2cosx %3D

Q: 1 2. Evaluate =dx using the trigonometric substitution x= 2 tan0. 2 Vx + 4

A: As per honor code, we will answer the first question for you. Please submit the other as a separate…

Q: dx , find f(0) · Using Trigonometric Substitution 3 (x²+ x + 1) 2

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Q: a2f дхду' a2f 2. (a) If f (x, y) = x tany + ye-2*, find and What do you notice? дхду (b) If f(x, y)…

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Q: 13. Given y = arcsin(x) – x/1-x² , what is y'? 2r? A) |1-. 2x B) C) D)

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Q: Q2/Find the length of the curve r = sine + cos0 between

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Q: y (-1, 1) sin(e) cos(e) ante

A: The coordinate (-1,1) is in second quadrant in the below figure. The perpendicular is 1 unit, base…

Q: 2) tan 0 2V13 4.

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Q: C3)) sketch their graphs 65. y= 2 Sin ( X+TT)-1

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Q: Q. It sin x Cos X XCOS xQ /- sin xd 3.

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Q: The x2- 4 dx can only be evaluated using trigonometric substitution technique . A True B) False

A: To find if the given integral can be solved only by algebraic substitution technique.

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: The x² – 4 dx can only be evaluated using trigonometric substitution technique . A) True B False

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Q: I 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x = - 4 4 1.414…

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Q: Evaluate f(x)= sin(x²), and tell whether its antiderivative F is increasing or decreasing at the…

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Q: 5x Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=-₁ 4 (A) 3.667…

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Q: 8. y = sin(cos7x) %3D

A: It is given that, y=sin(cos7x)   It is known that the derivative of sinx is cosx and derivative of…

Q: ·S- x² + sece tane de sece - 1 e integral sec²0 de 1+tan cose de 1-sin sine de S x dx can be…

A: The given integral is ∫x dxx2+x2-1-1. We have to change the integral using substitution.

Q: valuate the six trigonometric functions of 0. 0.

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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: d 75. Proof of (cos x) = - sin x Use the definition of the dx derivative and the trigonometric…

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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: 1 %3D What is the period of the function y 2 sin ( - TE)?

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Q: 10 • Use the Midpoint Rule with n = 5 to approximate x2 dr. • Use the Trapezoidal Rule with n = 6 to…

A: We use midpoint rule to find out the value of given integral.

Q: Find the period of the function. y = sin ( 1/6θ ) − 2

A: The solution is given in the next step.

Q: 3 T lavi cos x + sin x %3D

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Q: Differentiate.   y  = Cos h -1(Sin h x)

A: Given inverse hyperbolic function - y = cosh-1sinhxUsing Chain rule, differentiating on both sides…

Q: от а ат penavior of the function y = a sin bx? 2. How does the value of b affect the behavior of the…

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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: sin(x ) Evaluate: [ - dx 2 x cos 4

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Q: What is the range of the inverse sine function y= sin (x)? [0, T] B 2'2 ©(0, T) O ()

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Q: H(x) = sin(esinh~1 *) %3D

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Q: -2.2 Use the Trapezoidal rule to approximate CoS dx with n = 5.

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Q: dx 5) prove that sin x+c using method of trigonometric substitution. %3D

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Q: d (d) Compute (cosh(x)). dx (e) Compute cosh(x)+ sinh(x). (f) Show that the hyperbolic sine function…

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Q: 5. A group studies tides and records the function y = 1.5 sin ( (x – 8)) + 4.25 with time in x…

A: y=1.5sinπ 3x-8+4.25 first, we need to find the period the coefficient of x is π3 so take b=π3 the…

Q: tegral 1 -r³e"la0 cos²e ,² dr sin@d0 ¢ do = x 32πα x = ? %3D

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Q: Sketches of y=sinx,y=cos× and y=tanx on separate sets of axes if xe(0°;360°)

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Q: see attachment

A: Factor out 2.

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,…

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

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Q: #3. Sketch y = sin x and y = cos x for 0 < x< 2n. Locate the x-intercepts. sin x CoS X 1 37 37

A: X intercepts are values where the graph cuts the X-axis.

Q: 2. Using trigonometric substitution, what is S x² -9 dx ? x3

A: Given integral √x^2-9 /x^3 dx

Q: The appropriate trigonometric substitution for dx is V3x-x2 ww 3 X = 9 3 + sec 0 2 4 3 +sine x = O…

A: We have to solve

Q: e cos(x) = 1 + sin(xy) 2 2

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Q: At what point does the sine function y = sin x, cross the y axis? O (T, O) O (0,0) O (1,0) O (0,1)

A: Given  function is y=sinx. We have to find the point at which the function y=sinx cross the y-axis.…

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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Q: 9- x2 Consider using Trigonometric Substitution what is dx ? x2 3 sec e tan e de 3 sec e de 3 sec2 e…

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Q: Trace the curve r =1/2(sinꝋcos3ꝋ)

A: Given,            r =12sin(θ)cos3(θ)