Given f(x) = 2* cos x, 0 ≤ x ≤ í, find the critical point(s) on the given interval. If necessary, answer(s) to the nearest hundredth of a radian. Identify the nature of the critical point(s).

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: To solve the given integral.

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Q: bounded by x² + 2y = 4 and - Sketch the area x+y+2=0 and determine: d) area using using horizontal…

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Q: For the following exercises, consider a pizzeria that sell pizzas for a revenue of R(x) = ax and…

A: This question can be solved using the concept of maxima and minima.

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A: Topic:- trigonometry

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A: The given gradient of the scalar function fx,y is ∇→fx, y=3x2-3y, -3x+3y2. Also, we have f2,1=4.…

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

Q: Evaluate using Integration by Parts, substitution, or both if necessary. (Use symbolic notation and…

A: To evaluate the given integral.∫10x35x2+112 dx

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Q: 5. Prove the identity: cot(A + B) cot(A − B) = - cot² B tan² A tan² A cot² B - 1

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Q: 2. Find the general / particular solution of the following using variable separable b. mydx = nxdy =…

A: Given: a)  my dx=nx dy       separable equation:        mxdx=nydy integrate on both sides…

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Q: If -2 5 [° f(x)dx = [__ * f(x)dx + [_^¸ ƒ(a)dx − [¯* f(x)dx, -8 what are the bounds of integration…

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Q: 2. S (x²–5x+3)dx x3-4x²+3x

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Q: 1 cot³ x dx =

A: To solve the given integral.

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Q: Using the Factor Theorem, which polynomial function has the zeros 5 and 4-5/? Ox²-9x-5x + 25/+20…

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

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Q: Show that 16x4+9y12 lim (x,y)→(0,0) 4x²+3y6 does not exist.

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Q: Sketch the area bounded by x² + 2y = 4 and and determine: x+y+2=0 area using horizontal strip

A: The objective of the question is graph the given region and determine the area bounded by the given…

Q: B Fig 1 1 y = (3x)3 A I. Find the co-ordinates of A and B X II. Find the area enclosed by the curves…

A: Please see the below picture for detailed solution.

Q: 9. dt + 을 = COS t + Answer: s = sin t + 을..

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Q: 1. Consider the region R bounded by the functions f(x)=3x and g(x)=x²+2. The centroid of R is: a.…

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Q: For problems 21 and 22, consider the graph of the function below. Determine the intervals on which…

A: Let's find interval of concave up and down.

Q: Consider points P(-1, 3), Q(1, 7), and R(-4, 9). (a) Determine the unit vector in the direction of…

A: The objective is to determine unit vector in standard form and as well as component form.

Q: sec 0 sec 0 - cos 0 -de

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Please see the below picture for detailed solution.

Q: Wants to know what will be the Maclaren series of g(x) = sin(x) is ?

A: Maclaurin series of function fx is a Taylor series of function fx at: a=0…

Q: 2x log 2x dr 1 (x²+6x+5)3/2 dr

A: As we know that; The Power Rule: ∫xndx=xn+1n+1+C   1). The given integral is: I=∫2xlog2xdx Apply the…

Q: (b) Show that the following sequence is convergent: 1+ (-1)" n² Yn = √2+ (c) Show that (yn)neN is…

A: A Sequence <an> is convergent if and only if limn→∞ an is finite and unique.

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Q: Consider the smooth parametric curve defined by the equations = t (t²-3) { = 3 (t²-3) ¹ where t € R.…

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Q: Q2:A: Find the surface area of the cone y = h -√x² + z² where h is the height of the cone and a is…

A: Concept: The surface area of the cone: The total area that a cone's two surfaces, its circular base…

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Q: Differentiate y = √x + √z 01 O 2√x+1 A+ 2√x + 2√x O 2√x + √x

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Q: Identify the equation without applying a rotation of axes. 2 10x² -8xy + y² +9x+3y-6=0

A: Given, 10x2-8xy+y2+9x+3y-6=0

Q: Consider the smooth parametric curve defined by the equations t (t²-3) { = = 3 (t² - 3)' = where t E…

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Q: Express the given quantity in terms of −sin x or cos x. sin(3ℼ/2 - x)

A: The given trigonometric function is f(x)=sin3π2-x

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

Q: Exams compri Question 6 a) Find parametric equations of an ellipse centered at the origin with major…

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