Object dropped from a tower, 0auft abave around Oloje.ctb heigt above grourd Xgeco af ter the fall isox)- 1084-10 Abaut how long does it tbhe coicct to hit the arourd? Wato abiects velacity t the a7secs to hit theoraund bohjectsvekctu@impat 1024f1 momant ofimcac

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A: (a).Obtain the value of the given expression as follows:

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A: The given equation is,

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A:

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A: To determine, in the required units , the angles with the given conditions

Q: Find f'(x) where f(x) sin(cos(4x2 +1))

A: Consider the given function

Q: Rationalize the denominator of the expression. Then simplify your answer. 24/(sqrt5+sqrt6)

A: Given,

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A: SLope of the tangent is the derivative of the given curve.Therefore, 

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A: In 1 minute it adds 30 liters In T minutes it adds 30 times T= 30T liters

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Q: Is the following statement correct? If A, B, C, and D are distinct nonzero vectors represented by ar...

A: A, B, C, and D are distinct nonzero vectors represented by arrows from the origin to the points A, B...

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A: Given function:

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A: The given Figure can be redrawn as follows.

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A: Domain is the possible values of x.In the graph x takes values from -1 to 4. 4 is excluded. Answer: ...

Q: Evaluate the limit, if it exists. lim((3/(y2+y))- 3/y) y-->0

A: To determine the limit of function, if exists.

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A: Consider the given points.P = (0, 0, 0)Q = (2, 2, 0)R = (0, 1, 2)

Q: For the given function, find and simplify [f(x + h) − f(x)]/h (Assume h ≠ 0.) f(x) =  5/...

A: The given function is

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A: Consider the given logarithmic equation as logx (16) = 4Solve the above logarithmic equation as foll...

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A: As,

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A: We know that,                        Slope-intercept form is y = mx + bSince, the line passes throug...

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A: The graph of the given modulus function y is shown below.

Q: Use the Quotient Rule to find the derivative of the function. g(x) =  4x − 9 x2 − 3 g'(x)...

A: To differentiate g(x) using the quotient rule

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A: The function h is defined as:

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

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A: To express the given quantity as the logarithm of a single expression

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A: It is given that the circle is of diameter of 12 and with center (9,­7).

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A: (a)Find the equation of the tangent line as follows.

Q: The function  y = 4 − 16x2  intersects the x-axis at the following values of x.

A: Consider the parabola equation y = 4-16x2. Remember that the yth coordinate of the points on the x-a...

Q: Consider the functions f(x) and g(x), for which f(0) = 2, g(0) = 5, f'(0) = 10, and g'(0) = 5. Find ...

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Q: What is ln(x+2y)=x^4 using implict differentiation to find the derivative of y with respect to x?

A: Given function:

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A: The given equation of the circle is,

Q: Please assist with the attached problem. Thanks!

A: Result used:

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A: Take ln on both sides. 

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A: Definition used:“A function is a correspondence between two sets of elements such that to each eleme...

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A: Step 1:

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A: We are given that Isabel is a software saleswoman. Her monthly salary is $1900 plus an additional $1...

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A: First we make the coefficient into exponents. 

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A: Given, 

Q: 53. Suppose that a family wants to fence in an area of their yard for vegetable garden to keep out d...

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the give...

A: The given function is:

Q: A graph of a model for the sales of services between 2004 and 2008 by a leading global provider of s...

A: a). Average rate of change in sales of services between 2004 and 2007 is, 

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A: The given function is,

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A: The given exponential function is

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A: 1 ton of sugar costs $150S ton of sugar costs $ 150 times S= $150S

Q: Find the volume of the solid obtained by rotating region A in the figure about x=2.

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Q: its height in feet dopped from its height in feet after t seconds feet Jen ball is heidnt 500 by h(t...

A: Given,

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A: When he began the drive then x=0We have to find y when x=0y=375Answer: When he began his drive then ...

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A: The given parabolic equation is,

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A: We know that,

Q: 1B) A red wine is brought up from the wine cellar, which is cool 10˚C, and left to breathe in a room...

A: Let T1 and T2 be the wine temperature and room temperature, respectively.

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A: We directly evaluate the limit as follows,