3 The range of y = sin x is _______. -1 < x < 1 -1 < y < 1 y ≥ 0 y ≤ 0

Q: ify that the function satisfies the conclusion of the Mean Value Thereon for ivative on the given in...

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Q: Find the angle of least positive measure (in degrees, not equal to the given measure) that is coterm...

A: The objective of the question is determine the least positive coterminal angle with A.

Q: Find the derivatives of the following functions. Simplify as much as possible by com- bining like te...

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Q: Evaluate the integral. (Use C for the constant of integration.)

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Q: Find all the local max/min and saddle points for the function f(x, y) = a + y³+3x2 - 3y? – 8

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Q: 4 y = (x +3) Lax-1)

A:   Since you have posted multiple question as per guidelines we can solve only one question at a time...

Q: Part (c) Consider the initial value problem dy (t – 2)(t + 3) dt + (t – 5)y = tª + 1, y(-1) = 7. Det...

A: The given initial value problem is: (t-2)(t+3)dydt+(t-5)y=t4+1 ;       y(-1)=7

Q: ずx 1

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Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as: ...

Q: What is the area bounded by the curve ?^2 = −9? and the line y+1=0?

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Q: Choose the correct graph of y = cos x, - < x< T: 2 27 3. -1 -2

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Q: 5. Using the FOUR-STEP rule in evaluating derivatives, find dyldx in each of the functions given bel...

A: Using the Four‐Step rule in derivatives, to find dydx in each of the functionsgiven below.j y=xx-1k ...

Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the...

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Q: The period of y = cos x is units. 4 7I

A: We can find the period as below

Q: 5. This is the graph of the function f. The dashed lines represent the asymptotes. Select the x-valu...

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Q: a) Find the inverse of the function. b) Sketch the graph of f(x) and f-1(x) on the same Cartesian pl...

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Q: If T is the point at a distance T from P(1, 0) on the unit circle with its center at (0, 0), in what...

A: T is the point at the distance of 5π4 in the unit circle.To find the point.

Q: Direction: Find the derivative of the function. g(x) = (3 – z*) (x* – z + 1) Select one: O g'(r) = -...

A: Given:     gx=3-x2x3-x+1             =3x3-x+1-x2x3-x+1            =3x3-3x+3-x5+x3-x2       gx=-x5+4x...

Q: Evaluate the integral. (Use C for the constant of integration.) 7 V 1- sin(x) dx

A: Evaluating the indefinite integral

Q: Solve the following  complex numbers in their rectangular form. Use 4 decimal places  for the comput...

A: Given:  cot (3.0642 + 2.5712i) 

Q: Slope of a tangent line at t1 = 6.0 and y = at? dy v = lim At-0 dt

A: Given that: y=αt2

Q: 3 Find the abscissa of the centroid of the region between the parabola y = 9 − x2 and the line y ...

A: Given :The parabola y=9-x2 and the line y=2-2x from x=0 to x=2.To find :The abscissa of the centroid...

Q: | Vx In x dx; u= ln x, dv = \x dx

A:

Q: The intensity of a sound is given by =1,10° ", where L is the loudness of the sound as measured in d...

A: According to question,Given Intensity of soundI = I0100.1L “Since you have posted a question with mu...

Q: Question 6 Direction: Find the derivative of the function. Not yet y = -r² +3 answered Marked out of...

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Q: 4. 3y(x? - 1)dx + (x³ + 8y - 3x) dy = 0

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Q: Solve the equation using the quadratic formula. 7x2 = 2x - 1

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Q: - 2 lim,→8- х — 8 X

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Q: The total costs for a company are given by C(x) = 5400 + 20x + x2 and the total revenues are given ...

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Q: Find the derivative. Determine the correct method for each. a) y = (lnx)3 b) y = Inx3 c) y = x3 - In...

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Q: Given that f(x) = x1°h(x) h( – 1) = 3 h'( – 1) = 6 - %3D Calculate f'( - 1).

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Q: Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast...

A: d[r^n]/dr = n r^(n-1)

Q: For the function f(x) = 4e", calculate the following function values: f( – 3) = - f( – 1) = %3D f(0)...

A: Please see the explanation below and appreciate my efforts...

Q: 2. Given r(t) = et cos t i + e' sin tj + e'k , find the tangential and normal components of accelera...

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Q: 2x+4

A: Topic = Integration

Q: J csc 3x dx

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Q: Direction: Find the derivative of the function. (z + 1)(z + 2) (표-1)(포- 2) Select one: -6 (z? – 2) (...

A: Find your answer below 

Q: If sin(0) : 3 and 0 is in quadrant IV , then find (a) cos(0) (b) tan(8) (C) sec(0) (d) csc(0) (e) co...

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Q: Find the length of an arc intercepted by a central angle 0 in a circle of radius r. r= 72.22 in, 0= ...

A: This is basic problem on angles solution is given in the next step

Q: A savings and loan association needs information concerning the checking account balances of its loc...

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Q: Evaluate: 1- cos(x) 3x2 lim Express your answer in 4 decimal places.

A: According to question,Given limit,limx→0 1- cos x3x2

Q: x3-27 dx 2. ズ-3

A:

Q: The answer is: Find the exact value of a in the given interval that has the given circular value. Do...

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Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

A: Difference between nth and (n-1) th term is nth prime number. 

Q: Given f(x,y) = x?y-3xy³. Evaluate | fdy 14y -27y" , c + C O -6y3 +8y/3+ C O 6x2 – 45x + C 4 O 2x² – ...

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Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

A: Given:  fx=x2-3 To Find:  A To find the average rate of change ARC of fx on the interval 4≤x≤4.1.B T...

Q: 5e2x dx e2x + 11e* + 24 + 11e* + 24

A:

Q: y'(2y - x exY) = 2 +yexy

A: Given that:

Q: 3. Find the domain or range of the following functions f(x)=x-|X|. Find the range. f. f(x)=. 2-x. Fi...

A: Given:    f. fx=x-x Range:    The set of values of the dependent variable for which a function is de...

Q: a) Find the inverse of the function. b) Sketch the graph of f (x) and f-1(x) on the same Cartesian p...

A: We can solve all the three parts as below.