Let f(x) = (x + 2)? Find a domain on which f is one-to-one and non-decreasing. Find the inverse of f restricted to this domain f-1(x)

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: To find the third derivative of  y=(4x+3)34⇒y=(4x+3)34

Q: Solve the following equation on (-o, co) 2 cos2 3x + sin3x = 1 %3D

A: Solve the equation 2cos23x+sin3x=1

Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

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Q: Determine which of the following differential equation is linear O +5 + 2y² = e3= %3D + 5y +2y = 0 %...

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Q: 2. A tonk initially contains 1oO gallons of brine whose concentration is 2 lb/gal. Brine whose salt ...

A: Given

Q: 2. y = (x² – 3)²

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Q: For the polynomial below, -2 is a zero. f(x) =x + 4x + 2x – 4 Express f (x) as a product of linear f...

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Q: Consider the function f(x) = 6x 6x + 1, 0 < I< 6. The absolute maximum of f(x) (on the given interva...

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Q: Given point P(5, 12), find cos 0 5/13 12/5 12/13

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Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATION (4x3y – 15x2– y )dx +(x4 +3y2– x)dy=0

A: A differential equations of the form, M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x  

Q: Consider the function 3..2 f(x, y) = cos(rxy) – a°y?. = cos(Txy) – x°y°. a) Find the equation of the...

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given problem:- Which of the following represents the shell height if the shell method will be used ...

Q: (c) Determine if F is a conservative vector field. Given that the charged particle is moving along t...

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Q: 20. Evaluate f(2.x – 3)(x² + 1)dx a. 4x* + 3x - x2 - 3x +C b. 4 x* - x + x² - 3x +C c. 34 x* + x - x...

A: We know that ∫xn dx = xn+1n+1+C        n≠-1  where C is constant of integration.

Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...

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Q: Directions: Choose the letter of the correct answer. Write the letter tha corresponds to the correct...

A: Using Definition of Transcendental function Rules of limits.

Q: y- 2x = 3y - 2 %3D Oz= 3yIny +1+Cy Oz= 3lny +1+ Cy Oz = 3y Iny +1+C Oz= 3y Iny + Cy

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Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2, [...

A: We have to check if the function is continuous or not.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: 20. Let h be the function defined by h(x) = [", sin²r dt. Which of the following is an equation for ...

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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Q: . Evaluate f(12x² + 2x)dx a.) + 2x + C b.)꼭+ 2 +C c.) 4x² + x² + C d.) 3x³ + 4x² + C 3. Evaluate f d...

A: Topic:- integration  

Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.

A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12       =9+1|v→| =10    u→  · v→ =2, -3, 1·-3, 0, 1u→  · v→ =...

Q: Write the first five terms of the sequence: {Vn² +n = n} +oo Determine whether the sequence converge...

A: Given sequence n2+n-n

Q: Assessment1: The function is discontinuous at the number. Does the discontinuity appear to be remova...

A: The given function,   f(x)=x+33-x

Q: Ce* + 1 is 3x = dy/dx – 3y = -3 for any choice of the constant C. Thus, Ce* + 1 is a one-parameter f...

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Q: :. f(x) = vx – 1 at x = 5

A: Topic = Functions The given function is continuous and differentiable at x= 5.

Q: Evaluate the following integral sec(VT) tan(V7) dx

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Q: Help

A: Please refer to the image below

Q: 23. Evaluate f-43*+3 dx a.- 3 In 4 b.- *+3 -+ C -3 In 4 С. - In 64 + C d. none of the above 24. Eval...

A: We have to evaluate these integration by assuming some terms who convert it in simple integral. 

Q: Solve the differential equations x (x- y²- x)dx =y(x²-y²) dy when x=2, %3D y=0

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Q: The height (feet) of a ball launched in the airt seconds after it is launched is given by: f(t) = - ...

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Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5 si...

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

Q: Question 1 Consider the function (x²y² – y³ x² + y2 0, if (x, y) # (0,0) f(x, y) = if (x, y) = (0,0)...

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x3 – 3x? + 4x – 12

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other que...

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2. Y = (7x³ + 3)6 ; y"

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Q: 2. Let f be defined by the equation f(x) = V3-x. a. Evaluate lim f(x) %3D x-3+

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Q: 3x2 + 6, x 0 1+ 9x + x3' Find the following limits. NOTE: Enter an exact limit if it exists. If the ...

A: This question is based on Limits.

Q: 1. The flow rate of a fluid is described by F in units of kg/(m²-s). It is flowing through a membran...

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Q: c) Solve the following differential equations using the "exponential shift" defined by equation 4.1....

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Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...

A: We need to find the differential equation of the family of curves described below: All tangent lines...

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: Let's find. 

Q: Express the repeating decimal as a fraction. 0.4511 414141.

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Q: Eliminate the arbitrary constant in the equatio y = cz +c +1 Oy= ry'+ (y') +1 O y =y'+(y')² +1 O'y=y...

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Q: ソニqett 10 =50e-0,0357+ 5oe ○.2 ニe-0,0357ナ Inco.2)ニ =-0.3577 Tニ

A: y=aekt10=50e-0.0357tDivide 50 on both side1050=e-0.0357t15=e-0.0357t0.2=e-0.0357tapply ln on both si...

Q: Given point P (5, 12), find sing. 5/13 5/12 12/13

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Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.

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Q: dx 3x2 + 11x + 6

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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