Calculus I Application of the derivative 1.) Derive expression 2.) When f(x)=0 and f(x)= does not exist 3.) Where is increasing and decreasing (On the number line, where the derivatives are positive and negative)     4.) Find local maxima and local minima

Q: Create two functions h(x) and j(x) so that the composed function (hj)(x) does not exist. Explain…

A: We have to create two functions hx and jx so that the composed function h∘jx does not exist.

Q: 11. Determine the value of a so that the average rate of change of the function f(x) = x² + 6x + 2…

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Q: Flight of a Rocket The altitude (in feet) of a rocket t s into flight is given by s = f(t) = -t³ +…

A: Solution is given below:-

Q: Explain why the function f(x) = xsinx + cosx has a zero a on the interval [2,3]. With kmax = 20, and…

A: The solution of an equation in the given range is the value which satisfies the given equation in…

Q: Determine the x- and y-intercepts for the given function. 5) g(x) = -x² + 18

A: The given function is qx=-x2+18 we have to find its x and y intercepts.

Q: Consider the following function. (If an answer does not exist, enter DNE.) f(x) = x4 - 32x² (a) Find…

A: (a) f(x) = x4 - 32x2        => f'(x) = 4x3 - 64x      So, f(x) is increasing when f'(x) > 0…

Q: 1) Find the linear approximation of the function f(x)=1+x and use it to approximate the numbers 0.95…

A: Given function ⇒fx=1+x3

Q: Velocity of a Maglev  The velocity (in feet per second) of a maglev is v(t) = 0.4t + 2    (0 ≤ t ≤…

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Q: 3. If f(x)=x – 3x , determine: (1) a) f(2) (2) b) f(m+1)

A: Given: f(x)=x2-3x

Q: 3. The cost of a refrigerator is $700. On average, it costs $100 to provide the electricity for one…

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Q: 8. Graph function f(x) = x² - 2x + 8, sketch its reciprocal and fill in the following table.…

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Q: Population model A culture of bacteria has a population of 150 cells when it is first observed. The…

A: explanation follows as

Q: Drag the tilès to the correct boxes to complete the pairs. Not all tiles will be used. Find the…

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