This problem is concerned with the squeeze theorem. Suppose that is a bounded function and satisfies the inequalities cos(x) < (5 + x) f(x) < 1+ |x|, |x| <0.01. Find the limit off at x = 0. Do not use fractions in your answer. Answer:

Q: 3) Find curl (xyi + yzj + zxk)

A:

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A: use derivative and critical points for absolute maxima/absolute minima

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A: y''-4y'+4y=4cos 2t Taking Laplace transform on both…

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A: Given that the homogeneous differential equation is y(4) + 3y" - 4y = 0 . Here we have to find its…

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A:

Q: Show that the eigenvalues of A-¹ are ¹. 27 Show that A"x = λ"x if Ax = λx.

A: Given λ is an eigenvalue of A. So there exists a nonzero vector x such that Ax=λx....(i) 1.Since A…

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A: formula for average value is  favga=1b-a∫abf(x)dx∫1xdx=lnx

Q: 23. lim 848 5√√x+3 1 - 17x²

A: Solve limit

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A:

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A: Given query is to find the slope and the equation of the tangent.

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A: To solve the trigonometric equation cos2θ1+2cosθ=0 ; 0≤θ≤π.   As the general solution of the…

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A: We have to find the equation for the given graph.

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A:

Q: (th) h B) none existent 2) lem Cos ho A) | TheR c) 0 D)(-1) E) None

A:

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A:

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A: NOTE: Refresh your page if you can't see any equations. . here we have

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A:

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A: we will find the required.

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A: Please see the below picture for detailed solution.

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A: Given query is to find the integral.

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A:

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A:

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A: we know that   dxndx=nxn-1d(secx)dx=secxtanx

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A:

Q: (Σ n=1 (−1)″r. 2n

A: NOTE: Refresh your page if you can't see any equations. . the given series is  substitute n+1 for…

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A:

Q: Find the area of the shaded region. Ay 121- 99- 77- 55- 33- 11- y=121-x² -33- -55- -77- -99- -121- X…

A: To find the area of the shaded region.

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A: We have to find dy/dx.

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A: Given query is to find indicated derivative.

Q: Find dy/dx. x=tsin(t), y = t² + 5t

A: SOLUTION-

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A:

Q: Solve the system by back substitution. -4x-8y-2z - 6w = 5 -4y-24z-8w = -32 -4z-4w= -8 4w= 12 The…

A:

Q: Vector v is shown in the graph. पं احبه N T > 51 a 3 0 -1 N do O ||v|| = 9.220; e = 54.462° 2 Which…

A: To determine the magnitude and direction of given vector.

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A:

Q: 24. Below is the graph of f(x) lim f(x) = x-1 f(-1)=

A:

Q: Two sides of a triangle are 16 and 4. Find the size of the angle 0 (in radians) formed by the sides…

A: let sides of a triangle are a and b let angle form by the sides = θlet A = area

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A: we have to find taylor series expansion of f(x)  f(x)=1x2= x-2   at  a =1   now ,    f(x)=x-2…

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A: The given points are:A=(2, 3, 3)B=3, 1, -2C=0, 4, 4D=5, 1, 0

Q: 4. Find the average value of g(x) 8 4+x² on the interval -2≤ ≤2

A:

Q: The surface of a machine part is the region between the graphs of y₁=1x and y₂ = 0.100x² +2.500 as…

A: Given that , y1=x , y2=0.100x2+2.500 Find the area of the surface of machine port.

Q: Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the…

A:

Q: 18. A company makes $1000 on the first 100 widgets sold. The rate of change for profit is given by…

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Q: 1. Divide the interval [a,b] into n = 4 subintervals of equal length and compute A) the sum of the…

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Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

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Q: Suppose that lim = f'(0). Select the correct answer for the limit indicated below. x→0 X f(x) Select…

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Q: 20) Explain the idea behind l'hospitals vule.

A: use an  example to understand the l hospital rule.

Q: 1. Given the equation y = -7cos(4x + 20), find the following: (write the answers here and on paper)…

A: To solve the following problem and find the following things

Q: Consider the parametric equations below. x=3t-2, y = 2t+4 (a) Sketch the curve by using the…

A: We are required toa. graph the parametric equation x=3t-2,y=2t+4b. find the cartesian equation of…

Q: Find the slope of the curve at the given point. 3y⁹+8x8 = 2y + 9x at (1,1)

A: According to question,Given curve,3y9 + 8x8 = 2y + 9xat given point 1, 1