If the population of an ant colony in  5  days is known to be  1100  and  P'(0)=3 , what is the approximate current population of the ant colony? Assume the population grows linearly

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Q: Question 2.12) Is there some value of k for which the following function is continuous at x =-1? +k²…

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Q: 5. Find the length of the curve f(x) = = √9t¹ - 1 dt on the interval 2 < x < 3.

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A: The region bounded by curves  ,

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Q: Let r(t) = (-5t³ – 1, t² + 5t³, 3t²). Find the line (L) tangent to (t) at the point (39, -36, 12)

A: r→(t)=⟨−5t3−1,t2+5t3,3t2⟩Find the line (L) tangent to r→(t) at the point (39,−36,12)

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A: if f(-x)=f(x) then f is called even function.If f(-x)=-f(x) then f is called odd function.

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Q: How did we get 40 in the last solution? How did we get (k+2) and (2k+1)

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Q: 30,000 Р Suppose that the demand function for a product is given by D(p)=- a) Find the demand as a…

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Q: 6. Is the function given by f(x) (x + 4, for x < 3 2x - 1, for x ≥ 3 Continuous at x = 3? Why or why…

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Q: Find the value of the constant c so the function f is continuous on (-∞, ∞) where f(y) - [cy +9 if y…

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Q: Find the domain of the vector functions, ?(?)�(�), listed below. using interval notation. ) ?(?)=⟨…

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Q: |u| = 7, |v|= 3 and u⚫v = 4. Find |2u + vl. Find lu - 3vl. Find λER such that (u - λv) Lv.

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Q: Matching: Write the letter for the correct equation under its graph. Not all letters will be used.…

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Q: 6. Determine any possible functions f and g, where f g , but such that f is the derivative of g, and…

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Q: k Your Understanding: Let f (x) = (12x³ + 2)(x5 − 2x²), compute the derivative of f(x) the product…

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Q: Based on the definition of Fundamental Theorem of Calculus, what instances in your definite life…

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Q: 10) Given the functions f(x) = 4x² - 5 and g(x)= 15-3x, find (fog)(4). 4 (15-3X2-5 Inverse:…

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Q: Determine whether the series converges, and if it does, find the sum: 47+2 5. Σn=0 5

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Q: 2. Find y' and y" for both of the following functions. a) y = ex sin x b) y = tan x

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