2 f(x) = tan √√3 10 is a decreasing alues of 2 2x+1 -log (x² + x + 1) + √3 function for all x = R, find

Q: Where does the graph of the function x* +x - 6 cross the x-axis? O At x = -6 O At x = -3 and x - 2 O…

A: We use condition if any graph cuts or crosses X-axis then y coordinate becomes 0.

Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: Find the local minima/maxima of -x + ln x if it exist

A: fx=-x+lnx Differentiating with respect to x, we get f'x=-1+1x Now to find critical values, solve the…

Q: 2 / x + x ^ 3) ^ 16 any constant term?

A: We use binomial expansion.

Q: The point (-2,1) is in the domain of the function given by f(x,y) = sqrt(x+2y) + ln(x+3y) True or…

A:

Q: Suppose that f(x) = (x - 4)*.

A: At the point of inflection, f''(x)=0.

Q: Show that an = 1/2n + 1 is decreasing.

A: Given: an=12n+1 Substitute 1 for n in the equation an=12n+1. a1=12(1)+1=13=0.333

Q: Find the criticial numbers for f(x) = xlnx

A: Given, The function is f(x) = x lnx

Q: 5. Simplify the difference quotient f(a+h)-f(a) for the function f(x)%3D 3x+4 Use %3D h correct…

A:

Q: Suppose f (x) = 100x2 - 5x thousand units areproduced, where x is the number of years after 2000.a.…

A: Given  f (x) = 100x2 - 5x where x is the number of years after 2000

Q: How many real roots does the function f(x) = x 9 - 20x + 1 have? Find their approximate locations.

A: The best way to locate the number and nature of real roots will be to plot the equation.

Q: Find the open intervals on which the function f(x)=x+6*sqrt(5−x) is increasing or decreasing.

A: Given, f(x)=x+65-x

Q: Find the intervals where g(x)= -2(4x+1)10 is increasing and where it is decreasing

A: Find first derivative using exponent rule and chain rule.

Q: Let f(x) = −3x² + 1 1 X3 + −xª. Find all local and absolute maxima and minima of f.

A:

Q: what should n be if f(x) = Xn defineof a polynomial function?

A:

Q: Which function grows faster as O x → +∞ ? 3x¹ + 2x³ + 3x² +1 x³ ln(x² + 1)

A:

Q: For the function f(x) = 3* find fx-2)

A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: If a field K is algebraically closed, then every polynomiel with co efficients in k has a root in K.…

A: A field K is said to be algebraically closed if every polynomial with coefficients in K has a root…

Q: (a) Graph the IL f(x) = in the viewi (b) Using the g a rough ske Example 2. (c) Calculatef Compare w

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Q: Use first principles to differentiate the function f(x) = √√2x + 1

A:

Q: What input is NOT allowed for f(x)= 1/5x-25

A: