Differentiate the following inverse trigonometric functions : 1) y -2 sin-1x 2) s (t) =-cos-1 t

Q: 8. f(x)=3csc(x-x) f(x) Amplitude Period Vertical Shift: Horizontal Shift

A: Solution is here

Q: 4. y" +y = 2xsinx

A: First we will find complimentary function and the perticular function.

Q: -0.5x 69. f(x) = e05x + 4e 05x

A: This is a problem of curve sketching. Please find the graph of function below. 

Q: Solve the given initial value problen. dy dr 4r'y+y 2 + 3xy y(3) = - 1 Ory-y = 26 Ory +xy = 24 Or+y ...

A: Let's find. 

Q: ctions of 0 by using the given information. cos 0= and sin 0<0 41 = (Type an integer or a fraction.)

A: Topic:- trigonometry ratios  

Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use...

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Q: Evaluate the following indefinite integral. Use C for any constant of integration. 9 cos x dx = J si...

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Q: Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - o and o0 whe...

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Q: 3. Find the first derivative of y = (x² – 4x + 1)5. %3D

A: Topic :- derivatives  Note:- as per our guideline if more than one question uploaded than only first...

Q: consider the polynomial equation P(x)=x^5 + 3x^4-25x^3-79x^2+100=0. Use synthetic division to determ...

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Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex an...

A: This question is based on parabolic equation.

Q: Let /(x) = 2x- 3x2. (a) Graph the function for x E [-1,5] %3D (b) Compute f (2) and f (2). (c) Write...

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s)....

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Q: 4 f(x)=3sec(x+ Period f(x) Vertical Shift: Horizontal Shift Start End Increments:

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Q: cos (In4x2) dx

A: Topic:- integration

Q: x(2x² + 1)°dx

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Q: With partial fraction decomposition the following rational expression can be as 110 A B (æ + 3)(x2 +...

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Q: Is this function analytic fizz=. (1 +x)? +y2 2

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

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Q: Iculate the derivative indicated. d'y 1 + 322 where y = da2 \1 7 23 nswer:

A: d/dx(x^n) = x^(n+1)/(n+1)

Q: AD = and BD = . Find a vector perpendicular to both A D and 2A D - BO O O O O none of the above

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Q: What Have I Learned So Far? the letter of the correct answer on the blank. (-2.x, xs-2 1-x²-1,1>-2 1...

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Q: 343 – x3 lim x → 7 x – 7 - 147 - O 98 -28 147

A: Topic:- limits   

Q: 1. The formula for finding the arc length of a curve, given in parametric equations, is as follows A...

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Q: Evaluate

A: We will solve the integration. 

Q: If a parabola defined by f(x)=2−x2 is inscribed under equilateral triangle ABC, so that the parabola...

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = 3+ X f'(x) = f...

A: The objective is to use thefourstep process to find the derivative. 

Q: Sometimes it is possible to solvea nonlinear equation by making a change of the dependent variableth...

A: Given differential equation t2y'+7ty-y3=0

Q: B. x + 5 D 12 27 A

A: From the given figure we have to find, BD=?   

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex an...

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Q: 11. (MULTIPLE CHOICE) Which of the following is(are) true about the equation t fip" +y = ty? dt (A) ...

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Q: Find the general solution of 6y''' + 11y'' - y' -6y=0

A: We have to find solution of given differential Equation.

Q: Directions: Solve the following below. Show your solution in any blank paper. Find dy/dx, if 1. y si...

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Q: 5. 12 y²-9dy

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Q: m of the coefficient/s when we evaluate (sec(x) e given choices

A: We will find the sum of coefficient. 

Q: Determine the values of r for which the differential equation - 16y =0 has solutions of the form y =...

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Q: Solve the logarithmic equation for x : log2 (x - 2) + log2 (x - 3) = 1

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Q: Consider the function f(x) = 8x + 6x1. For this function there are four important intervals: (- 00, ...

A: In order to get the critical points of the function we need to differentiate the f(x) and equate to ...

Q: ind the derivatives and simplify answers: a). f(x) = tan-(e4"), (b). g(x) = x² + 2r³ cot-- In(1+x²).

A: ddx(arctan(e4x))We know that ddx(arctan(u(x))=1u(x)2+1*u'(x)=1(e4x)2+1*ddx(e4x)=e4x*ddx(4x)e8x+1=4e4...

Q: (x'y-xy²)(xdy+ ydx) +dy = 2xdx 3. %3D

A: Given differential equation (x3y-xy2)(xdy+ydx)+dy=2xdx

Q: B. Describe the intervals wherein the function is continuous. 1. 2. 10 10 8- 8- 6- 4 2 -10 -8 -6 6. ...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: 9. What is the solution of (x? +2xy – 4y? )dx - (x² – 8xy – 4y² )dy =0 ? a. x? - 4y? = c(x-y) b. x? ...

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Q: Solve the optimization problem. Minimize F = 3x2 + 3y2 with xy2 = = 16. F =

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Q: differential equation

A: Please refer to the image below

Q: Consider the following. 2x3 +5x2-32x-80 x2 x) %3D - 9x + 20 (a) State the domain of the function. al...

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Q: 8.Expand the function F(x) =e ^3x-1 by using the Taylor order 4 polynomial, then approximate the val...

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Q: QUESTION 19 Define a relation S from R to R by (x, y) ES, if and only if x² + 3y² = 25 %3D (a) List ...

A: A function is a relation which describe that there should be only one output for each input. Or we c...

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = |cos(÷)y, -2 ...

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Q: Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - oo and oo wh...

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Q: Given sin(x?y²) + y³ = x + y , using implicit differentiation for partial derivative show dy that dx...

A: Implicit derivative dydx of sinx2y2+y3=x+y