Find the critical points of y= 2x^3 +3x^2–12x and apply the Second Derivative Test to find the maximum and minimum

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A: For the solution follow the next step.

Q: 1 The function f (x) = 5 + 8x + 128x has one local minimum and one local maximum. This function has ...

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Q: Determine the domain and range of the following function. х-1 g(x) = V16–x²

A: Given : g(x) = (x-1)0.5/(16-x2)0.5 To find : 1. Domain                 2. Range

Q: Integrate both sides dy `xdx

A: We have ∫dyey =∫xdx

Q: In estimating | cos(4x)dx using Trapezoidal 1 and Simpson's rule with n = 6, we can estimate the err...

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Q: The height of a projectile launched into the air is given by f(t) = - 16t + 220t +9, where t is the ...

A: Average rate of change

Q: Find the Maclaurin Series for the function f(x) = sinx/x

A: The given function,   f(x)=sin xx

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Q: You deposit $1000 in an account with 5% annual compound interest. Complete the following, assuming y...

A: We will use the concept of compound interest to solve this.

Q: uate the limit of the function given the graph of the function. onsidered the graph of Function a.

A: Answering first two parts of the question as third part's context is not related to the graph. Given...

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the...

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Q: A company that makes thing-a-ma-bobs has a start up cost of $49137. It costs the company $3.02 to ma...

A: the values are:-

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A: Continuous compounding interest is given byP(t)=P0ertP(t)=value at time t P0=original principal sum ...

Q: Write sin (tan-u) as an algebraic expression in terms of u.

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Q: dt. (t² – 4)? 2.

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Q: Each one of the lines (a), (b), (C) and (d) represents the linearization of a function at the given ...

A: topic - linearization of a function

Q: 4 In estimating | cos(3x)dx using Trapezoidal - 1 and Simpson's rule with n = 6, we can estimate the...

A: Error bound of Trapezoidal rule and Simpson rule for integrating f(x)dx in [a,b] is, ET <maxf''(x...

Q: A particle moves along the curve y= /1+x³. As it reaches the point (2, 3), the x-coordinate is decre...

A: NOTE: Refresh your page if you can't see any equations. . the given point is (2,3) so x=2 and y=3 an...

Q: d) Let A, be the region between y = x² +9 and y 21-x. Let A, be the region between y = x² + x – 12 a...

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Q: Find the dimensions of the right circular cone of greatest lateral area that can be inscribed in a s...

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Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A: Let's find. 

Q: d²y 1. -4 +y=r²-2t +3 dt dy dt

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Q: et f(x) = /1– x and g(x) = . - Determine the following composition and its domain. fof

A: Given query is to find indicated composite function and it's domain.

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Q: Suppose that the demand for a product depends on the price p according to 60,000 D(p) = p>0 where p ...

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Q: The population of a city is 150,000. The city declines continuously by 4% per year. If this trend co...

A: We have to find time in year when  the city will be losing 3400 people per year.

Q: [12 31 1 2 and B = ] 1) If JA| = |B1, find the value of k where A =0 %3D 13 [2 1

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Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 15 integral ...

A: We have to find value of integral by Simpson's rule.

Q: Examples: Find the limits of the following: 4. lim tanx tan"(-0) = - 2 5. lim secx = lim cos (-) = c...

A: Given:   Limit Equations is given

Q: find d^2/dx^2(sinx+cosx)

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Q: If F(x) x2 - 1 find the following. (a) (b) F(20) (c) F(0.002) (d) Is F(0) defined? Yes ONo

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Q: Use a Table of Integrals to evaluate the integral. 5x sin(4x)dx

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Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Q: equalion of 2 Rines both and (0,4) pass Through

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Q: Consider the following sequence: S(-1)*+1 > n2 {a,} = %3D n=1 (a) Write out the first five terms of ...

A: answer is following-

Q: Jcot x+1 O tan x sec x O csc X

A: Simplifying the given expression

Q: 2,8 m

A: Given: - The shape of the star, To find: -The parameter of the star.

Q: considering only the Values of & for which cos (-0) is defined, which of the following expressions i...

A: Given query is to find the equivalent value to the expression.

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

A: Given query is to find the velocity at given time.  

Q: Find the mass of the rectangular region 0 <x < 2,0 < y < 3 with density function p(x, y) = 3 – y. %3...

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Q: Use the Intermediate Value Theorem to show that f(x) = x^2 − 3x + 1 has at least one real zero betwe...

A: Given:- Use the Intermediate Value Theorem to show that f(x) = x2 − 3x + 1 has at least one real zer...

Q: There are three conditions in which limits do not exist

A: First Condition   Limit fails to exist  when  The function approaches to some number from the right ...

Q: What is the magnitude of the resultant of the two force vectors shown in the diagram? (-2,3) 3- 2- (...

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

A: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

Q: Sin (x) n=

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: 7. Analysis of the voltage in a hairdryer involves terms of the form sin(nwt – 90°), where n is a po...

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Q: For each given combination of values of lim f(x) and f(c), sketch the graph of a Xー→C possible funct...

A: To sketch the function with the given details.