Evaluate the following. Give an exact answer, not a decimal a a) csc 2 b) sec ä

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A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

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A: To find the work done in both the given cases.

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A: Find your answer below

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A: This question can be solved using the concept of solving two linear equation.

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Q: item

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Q: Find a simplified expression for tan( cos-

A: A detailed solution is given below.

Q: D) 1. Which of the following is the antiderivative of f(x) = x' + x +1? A) 3x +2x + C C) x' + x +x +…

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Q: 4.For the 2 curves xy = 8 and x2 = 64y, find the angle between the two tangent lines at the !! %3D…

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Q: Find AC. Round your answer to the nearest tenth. 14 ft 89° 8 ft 25 mi 16 mi 19 mi 17 mi

A: To find the value of AC

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Q: ydy 3. Jo (a2 – y2)z

A: Topic:- integration

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Q: Evaluate the following integral. 2. Cos x dx -4n - 4n

A: ∫-4π6πcos2xdx=∫-4π6π1+cos2x2dx=∫-4π6π12+cos2x2dx

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Q: Find the equation of the tangent line at the given point on the following curve. x* +y = 20. (2, –…

A: The given curve,    x2+y2=20, 2,-4

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Q: x sin(2x2)dx

A: We have to find the integral.

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Q: Question 2 ( Consider the initial-value problem y" + 4y = 5 sin 3t, y(0) = 0, y'(0) = 3. (a) Use the…

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Q: Question 28 Write the first five terms of the geometric sequence. a1 - 3; r=- O 3. 74 03 3 3 4' 16…

A: A detailed solution is given below.

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Q: 1) Calculate 21+v3i

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Q: 1) Consider the DE x²y" – xy - 15y = 2x - 4 %3D | A) Verify that y = x and y2 = x x-3 satisfy the…

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Q: -2 is a critical number of the function f(x) = /2x – a %D - Select one: True False

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Q: (#2) Evaluate the directional derivative Duf (3, 4) if f (x,y) = Vx² + y² and u is the unit vector…

A: The expression for the directional derivative of the function f in the direction of u at a point…

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Q: Solve the triangle. Round your answer to the nearest tenth. 26 42 В 17 mLB 3D 112°, а 3D 25.9, b —…

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Q: Evaluate the following. Give an exact answer, not a decimal approximation (a) csc 2 (b) sec (c) cos

A: Topic:- trigonometry ratios

Q: Use a change of variables to find the indefinite integral. Check your work by differentiation. 1 xp-…

A: solution:-∫11-4x2 dx=let x=12sintdx=12cost dt∫11-4x2 dx=∫11-412sint2 ·12cost dt=∫11-sin2t ·12cost…

Q: Determine if the infinite series is convergent or divergent. n+1 n=0 n+3

A: Here we have to check whether the series is convergentvor divergent.

Q: 1 lim, „(e* + x)÷ +00

A: Explained below

Q: (2) Find the following a f a.) f (x,y) = cos (x y) -x³+y4, find D fyx and i) axaxa %3D

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Q: 4. If the characteristic equation of the differential equation y"+2y'-3y =0 is m² + 2m –3 =0, then…

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Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. If…

A: As per bartleby guidelines we supposed to answer only 1 question per post. This post contains 2…