1.14 To determine L sinh(3t)cos (t) , f(t) = sinh(3t)cos? (t) must be rewritten as %3D - e sinh( 3t) (1 + cos(2t) | II. (1 + cos(2t) I. 2 1.15 2

Q: Q2: simplifying the following equation we get: * * In(y-1)-In(y+1) = In(sin(x))? %3D

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Q: 2. 1= j tan(4x³) ,sec²(4x²)xdx dx 1- I=31-2x) (In( 5. I= 3. 1= ftan? (3x) sec? (3x)dx

A: Here we have to find the value of the following integrations. Note :   As per our company guidelines…

Q: 3. Let h(0) be the height above ground (in feet) of a rider on a Ferris wheel at an angle 0 (in…

A: In order to solve this question we need to use trigonometry applications on ferris wheel.

Q: Find (f-1)'(a). f(x) = 3x³ + 2 sin x + 3 cos x, a = 3 (f-1)'(a) = Need Help? Read It

A: Given:- f(x) =3x3+2 sin(x) +3cos(x)  To find:- (f-1)'(a)

Q: x + y x - y cosh Show that sinh x + sinh y = 2 sinh

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Q: 1 35. Solve f - dx the following two ways: x² +9 (a) with the trigonometric substitution x = 3 tan…

A: To solve∫1x2+9

Q: Given sinh(r) = then tanh(r) = Select one: a. b. + C. + d. OS Shot by Hisense H12

A:

Q: 1. Differentiate each function. (a) y = V6r* – 12 (b) g(x) = (cos 0 sin 0)ª (c) f(z)= sin°(3r) %3D

A: We have to differentiate

Q: 1. f(x) = 8 sin x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: II. Find d Do not simplify your answers. 1. log,(√2x² + y) + tan(z* — x") = sin−¹(x² − 1) + ½

A: This question can be solved using the concept of differentiation of implicit function.

Q: Find , where : = sin (x²) cos (y) COS 6.x sin (a) cos (y) 2.x sin (a) O2.x cos (2) 2r sin (2*) cos…

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Q: 11. Which function has the shortest period? A. y 6 sin(3x) + 20 B. y = 8 cos(2x) - 4 С. y 7 соs(x) +…

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Q: y= sin (0.25) + sinh (2).

A: According to the question, we need to evaluate the function: y = sin-1(0.25) + sinh(2)

Q: (b) If (20) = 3/5 and 0<o<T/4, find the values of i. sin (20) Cos ii, cos () iii. sin (0)

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Q: T/41 – cos X dx sin?x Jπ/6

A: The given integration is ∫π6π41-cosxsin2xdx

Q: sin-1x If y = dy cos(t) dt, then dx Select one: a. cos(sin-1x) b. X /1-x² c. Non of them d. 1 e. 1…

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Q: 3. Express the following function in terms of 'Sine & Cosine'; y (t) = 4 sin 2nt + 15 cos 2nt [

A: please see the next step for solution

Q: 8 csc? 4x cos(cot(4x)) dx sin² (cot(4x))

A: Here, I will be using method of substitution to solve this integral. You can assume:…

Q: 2. (a) Using suitable trigonometric substitution ar x? Sf4) åx, for f(x) =- V16-x

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Q: sec (x) e sin (x) dx ços x)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let f(x) = 2 · sin(x) – 5 · cos(x). What is the slope of the tangent line to the curve y = f(x) at x…

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Q: a) Find the derivative of the following functions: i) f(x) = x Inx ii) f(x) = iii) f(x) = 1 4* iv)…

A: Solution:-

Q: In the US the voltage in the electrical wiring of a typical home is given by V(t) = 170 sin(120nt).…

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Q: What is the equation of the graph below? (x.0) (22.-2) O y = sin (2x) - 1 %3D O y = cos (2x) - 1 O y…

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Q: find dz/dx and dz/dy for the following expression z =  tan-1 [(x+y)/(1-xy)]

A: This question is based on diffrentiation of function.

Q: cos(x) sin (x)+4sin(x) 7. Find -dx . A substitution might be helpful

A: