Find the following limit. lim < 4t² 1t - 3, - t-3 t² + 6t - 27 t-3 5- cos(t) >

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A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

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A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

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Q: sketch the graph of y = x^3 / (x^2 - 4), keep in mind the information provided: 1. x and y…

A: The solution is shown below-

Q: 3. Determine the value of a and b if the vectors à = [a, 26, 32] and b = [49,-91, b] are collinear.…

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Q: K Find the linearization L(x) of f(x) at x = a. 2 f(x)=√x² +11, a=-5 1 L(x) =

A: according to bartleby guide line we do only first part og multiple questions f(x)=x2+11  ,…

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A: The given data is: The volume of a cube edge s is V=s3 s=26 cmds=0.08 cm

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Q: Collect and Represent Data Assignment Directions: Use the data table below to answer questions 1-5.…

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Q: Use separation of variables to find the general solution of y'(x)= x tany.

A: Given ,  y'(x)=x tany Therefore, dydx=xtany

Q: Evaluate the following integral. x+1 x²+8x+41 -dx

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A: we need to find out the half life time for the given decay equation.

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Q: If y = 2x³ + 5x and dy = dt 5 dx dt dy dt = 4, find when x = 3.

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Q: Consider the function f(x) = 2x³-9x² slope of the function on this interval. By the Mean Value…

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Q: 5. Determine an equation of a line that lies directly on the plane: answer). 3x+4y+5z-29=0. (Justify…

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Q: 1. The chart below shows the current speed of the Colorado River taken at different times throughout…

A: We have to find the average acceleration form the above table given.

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A: Given : Domain : find non negative value of radical Answer :

Q: y' = = x/n(x)

A: We can find the derivative of the given function by using logarithmic differentiation.

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A: The given function: rx=x-5 on -12,8.

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A: Given: f(x)=x2+4; g(x)=4x-1

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Q: f(x)= ated at: ertical (x-3)² 5(x+1)²(x-2) 4. The rational function above has an odd vertical…

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Q: f(x) = 2x³ - 3x² - 36x +14 use f'(x), find decreasing interval

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Q: Write the sum in summation notation, using the given lower bound. b = 5 , A¡ = = 5 b 5 + 10 + 15 +…

A: Please see the below answer.

Q: Consider the function f(x) = 10√x + 7 on the interval [2,5]. (A) Find the average or mean slope of…

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Q: Find the velocity and position vectors of a particle with acceleration a(t) v(t) i+ j+ k r(t) i+ j+…

A: The given data is: at=10k Initial conditions  v0=1j+5kr0=-4i+5j-3k

Q: 9. Given: z = 4x²y³ - 2x³ + 7y² find a. 6x²y² c. 18xy d. 24xy² b. 12x²y 10. A closed rectangular box…

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Q: After a large number of drinks, a person has a blood alcohol level of 160 mg/dL (milligrams per…

A: Solving the following problem

Q: Evaluate SSS z dV, where E is the E region enclosed by the sphere x² + y² + z² = 1.

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Q: Use linear approximation, i.e. the tangent line, to approximate √49.1 as follows: Let f(1) = √I.…

A: Linear approximation L( x ) = f( a ) + f'( a ) ( x - a )

Q: 14. What is the equation of the exponential function graphed below? ³(-)* 3 2 ( 12 ) ² + 2(2)* +1…

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Q: 5. Find the derivatives of the following functions using the fundamental theorem, part 1, in…

A: h(x)=∫02x11+t2dt

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Q: Crude oil imports to one country from another for 2009-2013 could be approximated by the following…

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Q: 5) Evaluate the sum 101 1 143) (i+1 i +3,

A: as per company guidelines we can solve only first question when multiplie question being posted

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A: Given that the length of the ladder is:  17 foot

Q: 3. ∞ Does the series (-1)+1 converge absolutely, converge conditionally, or diverge? 6 n +4 Choose…

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Q: The equation of the tangent line to a function fatxa is given by the equation y = 12(x-a)+b. Use…

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Q: Let f(x) = -5 ln(7x) f'(x) = f'(2) Question Help: Video - Submit Question

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Q: Aging Population The population of Americans age 55 and older as a percentage of the total…

A: Given function is ft=10.720.9t+100.3. We have to find f''(10). For this we first find f''(t).…

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Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in…

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Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (6t sin(t),…

A: Given:position function of a particle r(t)=&lt;6tsint,6tcost,-t2&gt; To find: The velocity,…