Let f(x) 20 12x2 4x3 Input the interval(s) on whichf is increasing. Input the interval(s) on whichf is decreasing Find the point(s) at whichf achieves a local maximum Find the point(s) at whichf achieves a local minimum. Find the intervals on whichf is concave up. Find the intervals on whichf is concave down Find all inflection points

Q: Calculus Question

A: Given,

Q: Total Cost is given by C(x)=3x^2+20x +4800. Find the x value that minimizes average Cost.   b. How m...

A: Given informationTotal cost is given as

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A: It is given that f(x) is odd and

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A: The given function is

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A: Consider the given sequence:

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Q: Find f(x).

A: Given,

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A: Given,

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A: Given,

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A: Given function is,M(x) = log (x/x0), x0=10-3 

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A: Given,T(t) = 37 + 46e– 0.058 t

Q: 3. Find the critical numbers of the function g(x)= 5x -8.

A: Given:

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A: To verify

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A: Given:

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A: (a)Given:

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A:

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A: Given,

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A: Part (a):Estimate I by using Riemann integral.

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A:

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A: To evaluate

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A: Let length be x cm and height be y cm.The amount of material is equal to surface area.Surface area =...

Q: 4.3 Can you show me the steps to solve 19?

A: The given definite integral is,

Q: f(r) dax 9. Use the graph of f(x) below to evaluate 19 (a) 9 (b) 2 (c) 2 (d) 5 (e) 2 Graph of y f(x)

A: Evaluate:

Q: 12. Consider the function A(x) = sin(t2) dt. (a) Find A'(x) (b) Find the x-value of the first positi...

A: Given,

Q: Find the exact value of the expression ((1):- () tan(1) sin cos-

A: cos(pi/3)= 1/2 so, cos^-1(1/2)=pi/3tan(pi/4)=1, so, tan^-1(1)= pi/4

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A: Given:

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A: Given that f(x) = 10cos(x)To find the area under the graph of f(x) from x = 0 to x = ?/2 using four ...

Q: indefinite integral of (9x2-4x+13)

A:

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A: Here the limit is not givenso let the limits are [3, 11]  

Q: e-4x

A:

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A: Given as

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A: The second derivative of the function, y and tangent to the graph of y is given as,

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A: Given, Radius= r = 12 cm Rate of change of radius= dr/dt= - 5 cm/hour Volume of the sphere =V= (4/3)...

Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the followi...

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

Q: 27. Let u (10, 4) and v = (2, -5) Calculate the dot product u v. Show work. (b) Determine the angle ...

A: Given,

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A: Given as

Q: Find the derivatives. SIMPLIFY to one fraction or integer 5. a. g(t) 8t ln2 t b. y cos(tan 0)

A: Part (a):Find Derivative:

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A: The given expression of the temperature (H) as a function of time (t) is as given below.

Q: Find the area bounded by the given curves.y = x2 − 3 and y = 12 − 14x2                              ...

A: First we graph the curves using graphing calculator. 

Q: Find the area of the region under the graph of the function f on the interval [3, 7]. f(x)=6ex -x

A: To find the area of the region under the given function on the interval [3,7].

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A: Mean value theorem:If f(x) is a function that satisfies both of the following rules.(i) f(x) is cont...

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A: Compute the derivative of the above function.

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A: Consider the given integral function,

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A: It is given that,

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A: Let three parallel sides are of length = x yd each And the other side is = y ydSo total fence needed...

Q: indefinite integral of (5/x+3ex)dx

A: Consider the given integral:

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A: Given, function

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A: Given: