An oil spill is pouring oil onto a sea in the shape of a circle. The slick is growing at a rate of 150 m²/s. How fast is the radius changing when the area is 1000 m²? 40п 15 10п m/s 30 15 2√10T 10 m/s m/s m/s

Q: Find the limit and determine if the function is continuous at the point being approached.

A: This question can be solved using the concept of limit and continuity.

Q: Solve p = So (S2₁ Aedx) e dy Evaluate p assuming A closest to your answer: = 2.0 and 8 = 3.0, and…

A: Answer must be option 3.

Q: II. Given a piecewise function f(x) = 2. 2x² + 2x " X log₂ (x − 1), x<-2 −2 < x < 2, x‡0 x ≥ 2. 1.…

A: The given piecewise function, fx=2,x&lt;-22x2+2xx,-2&lt;x&lt;2, x≠0log2x-1,x≥2

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A: Given,            y=2+6x-3To find : What is the slope of the line represented by the following…

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A: To find the solution set  of the following.cos-12x+sin-11-4x2=π

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A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

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A: From the given graph we can notice that the line passes through origin.

Q: 5. S (2x²-3x+10)dx (x²+4)²

A: I have stated the used formulas in the solution

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A: Given that P= f(t) is the population (in millions) of the country t years after the year 2000

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A: Solution

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A: To find value of a, b and f(x).

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A:

Q: Which of these equations represents a line that is perpendicular to the line in the graph below?

A: Two lines are perpendicular if the product of their slopes is equal to -1

Q: the

A:

Q: D Question 24 Suppose that P= f(t) is the population (in millions) of the country & years after the…

A: We can find the answer as below.

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A:

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A: Topic:- calculus

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A: Topic:- function

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A: 4.1 To calculate the expenses to keep the Zoo open per day. To use a 30 day month.4.2 Tickets cost…

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A:

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A: We need to solve for x.

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A:

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A:

Q: 5. Use the divergence theorem to evaluate the surface integral ff, F. ds, where S is the sphere x² +…

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Q: 6. If a = 2, b = 2√√3,7 = 30°, solve for c and 3.

A: We know that cosine rule is c=a2+b2-2abcosγGiven data a=2, b=23 and γ=30c=22+(23)2-2*2*23*cos(30)…

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Q: Question 14 Each side of a square is increasing at a rate 3 in/s. At what rate is the area of the…

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A: We have to find the solution .

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A: Solution is given below:

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A:

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A:

Q: Assuming the pattern continues, what is S₁2 for the series -8-15-22-29 -...? -565 -85 -510 O-558

A: Option d is correct.

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Q: Let G(x) = sec 0 do for a in [0,]. Find G'(a).

A:

Q: 4. Determine the maximum point of the the graph of y = 1 — 2 sin(π – 2x), for x = € [−π, π). 3.

A: Let's find maximum points of trigonometric function.

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Q: For each positive integer n, define an = n² sin 2 +∞o 1. Determine if the sequence {an} converges or…

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Q: Solve the area bounded by the curve y = 4x-x and the lines x=-2 and y = 4. 12) Sketch of the curves:…

A: The given problem is solved below in detail.

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A: I have stated the used formula in the solution.

Q: The graph of a function h is given. domain -6-5-4 -3 -2 range y 5 (a) Find h(-2), h(0), h(2), and…

A: As per guidelines we can answer only three subpart questions at a time so if you need more answers…

Q: Given the function graphed below, evaluate the definite integrals. -1 4 3 2 1 1 -1 -2 -3 -4+ […

A: