Recall that an angle making a full rotation measures 360 degrees or 2r radians. a. An angle measures 201 degrees. What is the angle's measure in radians? radians Preview b. An angle measures 3 radians. What is the angle's measure in degrees? degrees Preview

Q: Express the integral a.e •e²² dx in terms of the integral dx .

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Q: Find the points at which the following function is discontinuous. 2x2 + 4 if x 4 f(x) = { 6x2 + 2 2...

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Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

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Q: Consider the function f(r) 6/z + 10 on the interval 2, 10. Find the average or mean slope of the fun...

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Q: 3. Determine whether the sequence converges or diverges. If it converges, find the limit.

A: a sequence {Xn} is convergent if lim Xn tends to a finite value when n approach to infinity 

Q: - --- Let B = Is Ba basis ofR ? Justify and x = %3D 2 3 3 your answer. If yes, compute xR [x]

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Q: Convert the Cartesian coordinates below to polar coordinates. Give an angle 0 in the range 0 0. V3 ...

A: We know that, relation between cartesian co-ordinate and polar co-ordinates, r=x2+y2 and θ=tan-1yxHe...

Q: The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use Simpson's Rule with n- 6...

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Q: 3 In(x3 + 7) dx, 4 n = 10 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule

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Q: 21. Determine the general antiderivative of f(x) = 4x 4x4 + 9 2x2 a. 2 cosh +C 3 22 + C c. 2 sinh¯ -...

A: As per our guideline we are supposed to be answer only one question you can repost other question in...

Q: Differentiate. h(0) = 02 sin(0) h '(θ) -

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Q: Describe how the graph of the function g(x) = -|x|-7 can be obtained from the basic graph. Then grap...

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Q: Find lim f(x) r→-5

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Q: Identify the limit of the function below using tabular method. Fill up the table with its correct va...

A: f(x)=x3-3x-22x3+3x2-1

Q: Prove that ∀n ∈Z, gcd(7n + 1, 15n + 2) = 1 *use only the definition of divisibility and gcd please!

A: we want to prove that   gcd(7n+1 , 15n+2)=1

Q: The initial weight of a starving animal is Wo. Its weight after t days is given by W=Wo e -0.005t Wh...

A: We will find the remaining % of wieght as follows.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x3 dx 1 + x8

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Q: 16. {(2,3), (-1,5), (2,6), (3,0)} is a function.

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: c 2 0 0 4 0 1 0 40

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Q: Solve the given differential equation. All solutions should be found. dy x6 – 4y - dx NOTE: Use c fo...

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Q: Click to see additional instructions Graph values can be estimated to the nearest 5 units when neces...

A: A) Labour supply Curve: Ls=2W MRPL=100-L MCL=L MRP=MP*p P=MRP/MP=(100-L)/(10-0.1L)=10  

Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y? – 4x – 5 on the domain x2 + ...

A: Given:    f(x,y) = 2x2 + 3y2 - 4x - 5      Domain on : x2 + y2 ≤ 289

Q: -x' +2 Find the slope of the secant line between x = -3 andx = 3 for the function f(x) = (Enter your...

A: Explanation of the answer is as follows

Q: -x2 + 5x + 14 Evaluate lim x-2 -5x2- 2x + 16 Submit an exact answer.

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Q: Find an equation of the line passing through the pair of points. (-5) ( 1) 4

A: The equation of the line is solved below.

Q: 50 -40 -30 -20-10 10 20 30 40 50 Based on the pattern you see in the graph answer the following ques...

A: The symbol limx→af(x) represents the value of f(x) as x is nearing the value a irrespective of appro...

Q: A company's revenue from car sales, C (in thousands of dollars), is a function of advertising expend...

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Q: f(x) =In(tan¯'x)

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Q: 3. Use lhe Intermediate Value Theorem to show that dhe following equation has a solution. sec(x) = x...

A: Given secx=x^2+e^e-1

Q: Find the line of intersection of the planes 2x – y + z = 2 and x + 2y – 4z = 1

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Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2 1+16...

A: We need to find upper bound on the error.

Q: xplain what it means to say thất im _ f(x) 5 and lim f(x) x- 2 x-2* O As x approaches 2 from the rig...

A: Left hand limit of f(x) at x= 2 is 5;  Right hand limit of the f(x) at x= 2 is 4  What does means of...

Q: Since (k + 1)³/3k+1 ki3 /3* (1+ ±)* _ 1 lim k→+0 lim k→+∞ 3 3 the series (converges/diverges/inconcl...

A: The given series,       ∑k=1∞k33k

Q: Given f(x)= x-x^2 and g(x) = 4x-2 Simplify g(g(x)) - x

A: Given query is to find indicated function.

Q: -7 -1 3 5 -1 -2 -3 -4 ー5 -6- -7 -8- de your answer below: a. lim f(x) = xラ-6 5. lim f(x)= O

A: Given:   Graph is given

Q: dive ges. If it conve ges, find the Determine whether the seavence converges or n+1o Sin(n) 3n+ 2

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Q: Solve the given differential equation. All solutions should be found. (8y"+2x°y) dx - (7cy°+) dy = 0...

A: This is a homogenous equation.  Let y=vx

Q: Ceate five questions on the following topic along with the correct answers that you would expect if...

A: We write the inverse of a function and inverse of a natural numbers in addition and multiplicative.

Q: &r4- V -, determine the Let y=f (x) + C be the antiderivative of F (x) = space) if *=3.6, and y= 17.

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Q: Let f(x) = V90 Then the domain of fogis equal to a, b] for - x and g(x) = x² – x. a = and b =

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Q: ,7x+4 dx = хе

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Q: Find the derivative of the function. 1 g(t): (5t + 1)6 30 g'(t) = (5x +1)7

A: Explanation of the answer is as follows

Q: Consider the function (T) 12z mean slope of the function on this intervat. 30r 10 on the interval 6,...

A: Average or mean slope is fiven by f(b)-f(a)b-aThe value of c can be calculated byf'(c)=f(b)-f(a)b-a ...

Q: Find an equation of the line passing through the pair of points. (4, 3), (-4, –4) Sketch the line.

A: We can find the required equation of line passing through the pair of point is as below.

Q: Given f(x) = ln (x), find each of the following.  Find a formula for g(x) = 2f(−(x + 5)) − 3, using ...

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Q: A fuel tank is being designed to contain 200 m3 of gasoline, but the maximum length of a tank (measu...

A: We have to find the height and radius of the fuel tank which costs minimum using differentiation.

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: Consider the following. 0.4 x2 xp V4 - 25x2 4 – Let x 2 sin(0) and determine the following. dx = de ...

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Q: (3y-2) dy-1 3. y²+2y F17 d. Csiohle Inarccot 3x ) dx

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