10) Find the inverse of the function f(x) = 4(x- 2) algebraically. %3D crt Cube Root Change x) Io y Switch x and y. Solve for y Answer ---> Change y to ().

Q: 2.Find if. y? +x? = sin(xy) using implicit derivation

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Q: Find the general solution of f′(x) = −2x sin x2 .

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Q: ちad; mpliいyiy txy = x -x +2

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Q: Solve 2 sin (x) + sin(x) – 1 = 0 for x E [0, 27] -

A: The given equation is solved below.

Q: Based on Degree two function: V x (V f) = ? О 1

A: Answer: None of these.

Q: Eliminate the arbitrary constants of: y = ln sin(x-c1)+c2

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Q: eliminate the arbitrary constant y = sin ax

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Q: Solve the following using the formulas used in Differentiation y = - 4 x3 y = 4Vx5

A: the given function is y=-4x3 use the formula d(ax)dx=adxdx ddxy=ddx-4x3=-4ddx1x3=-4ddxx-3 use the…

Q: 1. Determine the range of the function y = -3 sin[4(x – 2)] + 2.

A: Range of trigonometric function

Q: If f(x) = (52² + lx + 6)cos(x), find f'(x) =

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Q: Q3) Solve for (y) if: In(y-2)= In(sinx)-x

A: As per our guidelines we are supposed to answer only one question. Kindly second question as the…

Q: 3) Solve the equation sin(x) = ln(x) x1 = f(x) = f'(x) = X≈

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Q: Using the inverse function rule, find . Find * if x = (y + 2y – 3)³

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Q: 1. x² – 4y? = 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 5. (y/)² – 2yy' = y² (e* – 1) %3D

A: This is a differential equation of order 1 and degree 2. We usually solve the differential equation…

Q: Q #03 by using be ta function Solve 2/13 dx

A: We have to find the integral of x-2/3 (1 - x)1/2 dx from 0 to 1 using the help of beta function.

Q: 2) Find the derivative of the following: c) cos 2x - 3) In(8x - 5x +2)

A: Given:         cos(2x−3)ln(8x2−5x+2)

Q: If y = 2 sin ( 3x+ n) –1 , The range is : (- 3,1) O (-1,3) O (-2,2) O (-3,3) O

A: the given function is  y = 2 sin3x+π-1

Q: e2x-e-2x 4. y= e2x+e-2x

A: Hyperbolic functions are similar to trigonometric if we consider the derivatives even though…

Q: Verify that 1 1 1 x2 – 1 2 x – 1 x +1 and use this equation to evaluate 7 1 dz x2 – 1

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: Here we use u substitution, where u=2xdu=2dxdx=du2

Q: (5z + 8)ª Find the derivative of In 16 + 10

A: Given: To find: The derivative of the given function.

Q: 4. Determine the equation of the axis of the function f (x) = -3 sin (x – 2)- 6

A: Given that: f(x)=-3sinπ4(x-2)-6

Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

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Q: zoom in 28 Er m. 10 14 X+7 28 co sh tw 14x = 28(x+ 7) 14x - 28x + 196 -196 = 14x -14 = x 3. II

A: Simplification

Q: 4. Find: b) lime X0 x sinx

A: Find the limit by using L'  Hospital rule

Q: Select all the lines that are needed to find the inverse of y = log, (x + 1) – 2 in the appropriate…

A: Given,y=log3(x+1)-2

Q: Solve sin 2x = - sin x for the interval x E [0, 31].

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Q: Solve for the derivative of the following implicit function. x2 4. 9. y2 : 1 4

A: Given equation is x29+y24=1

Q: 7. Find the derivative of each funcrion. a. y = 5-4* b. fCx) = xqx d. FCx) = Togax-1 C. Y =…

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Q: Given the function xye9-sin² ecos² fxx of f is equal to 0. f(x, y)= The second derivative Select…

A: A detailed solution is given below. fx = partial derivative of f(x,y) with respect to x. fxx =…

Q: Differentiate the function y = e - 4x  sin   5x

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Q: y² x2 + 1 9.

A: Given function is x2+y29=1

Q: cos 2x 6. 4

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Q: 8. y (1 + x³)(3 – 2x) 10. y = (x2 + 3)(x² – x + 1

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Q: If f(x) 3 sin '(2), then f'(x)-

A: Given that: f(x)=3sin-1(x5)

Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

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Q: 4. xy = COS (²) + +1

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Q: Find the second derivative of each item. 1. y = x° + 3x2+ 4x 1 2. y = 3. y = /(4 – x2) 4x 4. y = x +…

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Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9. Solution.

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Q: Does x2 - 10 = x sinx have a real solution? Show your process. -

A: Let f(x)=x2-10-xsinx  Then it is clear that f is a continuous function on R. Now…

Q: 30 =) 275 as0 = 550 Gs6 -> fhe Sind4 fr Sinao - 300 :0 7 275 Sino+ for x dh - 300 300 » 215 Sino +…

A: We have to find the solution for θ in the given equation.

Q: 7. Find the derivative of the given function. Simplify and express the answer using positi exponents…

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Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

A:

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: We have to find antiderivative and we have to check the answer by differentiation where function is:…

Q: tion f(x)=

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Q: 1. Use the following methods to solve for the root of the equation f(x) = xe * – sinx

A: Let f(x)=xe-x-sin2x Given initial approximation is x1=0.5 then…

Q: If g (x) = sinx dx and g =3, then g (0) is equal to

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Q: If y=2 sin ( 3x+ n) – 1 , The range is : (- 3 ,1 ) O (-1,3) O (-2,2) O (-3,3) O

A: Find the range of the function The set of values of the dependent variable for which function is…