Consider the function below. g(x) = 190 + 8x3 + x4 (a) Find the x-coordinate(s) of any local minima. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Local minima at x = Find the x-coordinate(s) of any local maxima. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Local maxima at x = (b) Find the interval(s) where the graph is concave upward. (Enter your answer in interval notation.) Find the interval(s) where the graph is concave downward. (Enter your answer in interval notation.) Find the inflection points. (x, Y) = (| (x, y) = | ) (smaller x-value) ) (larger x-value)

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A: The given lines r→=j^+t4i^+2j^+3k^R→=-i^-7j^-12k^+si^+2j^+3k^ Let,  4i^+2j^+3k^=b1→i^+2j^+3k^=b2→ As...

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A: lna=3.8067

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A: derivative of sec(x) is sec(x)tan(x) also we will apply chain rule of differentiation here dydx=dsec...

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A: Authoring guidelines: ______________________________________________________________________________...

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A: Given  The function is f(x)=sin(4x)sin(3x)  

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A: Given: y=fx=4x2+6 now differentiating given function with respect to x  

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A: Given,            f(x) =x + 32x,   2, 16

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Q: It is sometimes helpful to verify an identity by rewriting one of_______ the sides in terms of and__...

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Q: f(x) = 2/(x^2+1) -1  is f(x) continius?

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Q: Solve by the substitution method 5x - 4y = 9 and x - 2y = -3.

A: Given: 5x-4y=9  and x-2y=-3

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Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

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A: Given data:   The first equation is x+2y=30. The expression for the function is f(x,y)=(x+1)(y+3).  ...

Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

A:

Q: Suppose that x and y are two positive numbers, and suppose that r+ 2y = 30. Find the maximum value o...

A: Given that: x+2y=30                                                                                 ...

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Q: Evaluate  expression, or indicate that the root is not a real number. √144 + 25

A: We have to evaluate 144+25 . 144+25=169=13×13=13

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.