Given y f(u) and u g(x), find f'(g(x))g'(x) for the following functions dx ycos u, u = 4x+5 dy =f'(g(x))g'(x) dx =

Q: (b) The graph of g(x) is given below on the left. Sketch a possible graph of g' (x) on the right. 51...

A: We can see the graph and analyse the behaviour of the graph. In left side of origin of real line, ra...

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A: Calculation:From the given information, A0 = 36 grams, r = 4% and t =6 days.It is also observed that...

Q: 37. Prove that lim x2 = 25

A: The given function is

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A: Given function g (x) has a zero which is -3.Then, g (x) will have a factor as (x + 3).

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A: We know that

Q: Problem 1 Parts B, C, and D

A: a.Use the online graphing calculator to draw the graph of the functions as shown below in Figure 1.

Q: Find the limit of the following, or show that it does not exist: lim (x,y) -> (0,0)  (xy)/(x2+y4)

A: Consider the limit,

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A: y=cos xall x values are possibley values are from -1 to 1Answer: For y=cosx Domain = The set of all ...

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A: A polynomial f (x) of degree 4 that has following zeroes:

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A: The given temperature function C(t) is

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A: Start with:

Q: Find the linearization L(x) of the function at a. f(x) = rad(x),    a = 25

A: Given, 

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A: Graph the inequality x2-8x ≥ -12 on number line

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A: The given function is y = (3/4)sinπx which is in the form of y = asin(bx).Here, a = 3/4 and b = π .C...

Q: differentiate 2t/2+t1/2

A: For the obvious reasons, the expression in the question has lost formatting.I am sure you are lookin...

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A: The formula for finding the amount is as follows.

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A: Solve the given inequality as follows.

Q: find the derivatives without using product or quotient rules.     y= (5/(2x)^3)+2cosx

A: Refer  to the question , we need to find the derivative of the provided function without the use of ...

Q: I need help with #57. The last line is where I am stuck .

A: To compute the value of the definite integral.

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A: We have to find an interval where the graph is going downwards as it moves to the right side.

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A: The zeroes of a polynomial of degree 3 means,

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A: Given trigonometric functions we have to find the domain and range of the functions.

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A: A graph is symmetric about x-axis , if (x,y) lies on the curve, (x,-y) also lies on curveA graph is ...

Q: Q 7 Find lim y+21y2 +71y + 51 y2-9

A: Consider the given limits

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A: The function f(x) = (x+9)3. Find f-1(x)?

Q: use the four step process to find f'(x) and then find f'(1), f'(2), and f'(3)  f(X)= 2-3X2

A: Given:

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A: The function is given by,

Q: GIRYOTIIoM eists ee auc Soloy o# cS1 soainuc1601 6 16A ebo.ao asllarwG OHCY 050H 912c esac.sm.oi 9io...

A: (a) According to the given information the profit from the sale of x ovens is given by:

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A: According to the given inequality:

Q: if f(x)=x2-4  f(square root of x+4)

A:

Q: The graph of a function is given. y X (a) Determine the net change between the indicated points on t...

A: Given,

Q: Q 3 Find the following limit if it exists: lims2-2 X -2

A: Given,

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A: Calculation:Compute the x-intercept as follows.

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A: A function which has the same output value for whatever input value given is a constant function. It...

Q: Use the General Power Rule to find the derivative of the function. g(x) =  5 (7x2 + 4x)3 ...

A: Rules of Differentiation that are used in the given problem.

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A: Consider the given function: 

Q: Please solve 3,4 and 6 please and show the steps

A: Since, we only answer one question, we’ll answer the 3rd question since the exact one wasn’t specifi...

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A: Given:

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A: f(x) = Asin(bx) has ampltitude as A and periodicity as 2π / b

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A: Solve the given inequality as follows.

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A: Consider the given inequality is x2 + 10x <–24.Solve and graph the solution of the inequality as ...

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A: Please see the white board.

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A: The reference angle is the positive acute angle that can represent an angle of any measure. The refe...

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A: The given polynomial is h(x) = x3–7x–6.It is given that, 3 is a zero of the given polynomial.Use the...

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Q: Line L goes through (4,3) and is perpendicular to the line whose equation is x+2y-10=0 a. what is th...

A: Find the equation of the Line L through (4,3) and is perpendicular to the line whose equation is x+2...

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A: Given,