61. y = x? +x-l; 1 2x dx x2 -

Q: I need help with 21

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A: Converting  tan-11160 to sin angle termstan-1ab=sin-1aa2+b2

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A: Given length of a rectangle, l =25 cm           Width of a rectangle, w=36 cm We know that,  Area of...

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A: y≥x2-4, x-y≥2 Now consider the equations: y=x2-4 is an upward parabola with vertex at -4, 0 and x-in...

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Q: Calculus Question

A: Given, (x-2)(x+4)<0

Q: Define Asymptotic Stability ?

A: We need to define Asymptotic Stability.

Q: Calculus Question

A: 1

Q: Find an equation of the tangent to the curve at the given point. x = 5 + t2 − t,    y = t2 + 4,    ...

A: Consider the given functions: x=5+t2-ty=t2+4 Formula for equation of tangent line is given by: y=y1+...

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Q: Consider the function g graphed in the accompanying figure. For what values of -3 < xo < 2 does lim ...

A: Consider the given graph: For a function to have its limit to exist at a point, Left hand limit and...

Q: suppose u and v are differentiable functions of x. Use the given values o fthe functions and their d...

A: Consider the given information: u2=6u'2=2v2=-3v'2=-4 Consider the given derivative. ddxuvx=2

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A: function 1 = f(t)   where  t = number of years since 2010 function 2 = g(y)   where  y = the actual ...

Q: Q-1: Integrate each of the following without using trigonometric substitutions (a) S: cos(x) xp- sin...

A: Integrating each of the following without using trigonometric substitutions

Q: The rate of change of the value of goods exported from a country between 1990 and 2001 can be modele...

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Q: 1 r(t) = (t sin t, (2t)³/2, t cos t), 0 < t < 2n. 3

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Q: (1) Suppose you lift a stone that has a mass of 5.2 kilograms off the floor onto a shelf that is 1 m...

A:  Definition used-   Work done                                         w= F·d                        ...

Q: Find the first partial derivatives of the function. z = (7x + 8y) az !! ax %3! ду

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Q: Find the volumes of the regions. The region between the cylinder z = y2 and the xy-plane that is bou...

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Q: Find dy/dx Y=sin^2x/(x^2√(1+tanx))

A: the given function is: y=sin2xx21+tanx

Q: Find the degree of the polynomial. 3x2 - 5x + 4

A: 3x2-5x+4

Q: Solve the logarithmic equation log4(x + 2) - log4(x - 1) = 1. Be sure to reject any value of x that ...

A: log4x+2-log4x-1=1    

Q: from the top of a 300-ft light house, the angle of depression to a ship in the ocean is 27degrees. h...

A: Given the angle of depression to a ship in the ocean is 27degrees. Height of the light house=300ft A...

Q: For which values of x does the graph of y=−sec(2x+π) equal 1?

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Q: Use the graph of the rational function to complete the following statement. As x -1, f(x)→ X. -5 As ...

A: Given    

Q: Express f(x) in the form a(x − h)2 + k. f(x) = −4x2 + 24x − 17   f(x)=?

A: Given: f(x) = −4x2 + 24x − 17 ----------------------------------------------------------------------...

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Q: d, e, and f

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Q: Calculus Question

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the pa...

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Q: Find the values of a and b that make f continuous everywhere. f(x) =   x2-4/x-2      if x &lt; 2...

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Q: Suppose f is continuous on [1,5] and the only solutions ofthe equation  f(x)  = 6 are x = 1and x= 4 ...

A: Given: The function f is continuous on 1,5 and fx=6 has only two solution x=1, x=4 and f2=8, To show...

Q: Let f(x) = 5x +7 and g(x) x2 + 2x – 63 • You must combine all like terms before you submit your answ...

A:   (a) To find: The composition of the function fogx. Given information: The functions are gx=1x2+2x-...

Q: Evaluate each limit. (4х + 10 lim xS2 2х - 2

A: limx→24x+102x-2

Q: Use implicit differentiation to find dz/ðx and dz/ðy. x³ + y6 + z³ = 4xyz dz əx az %3D ay Need Help?...

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Q: For a non negative whole number n, let the function fn be given by (picture).  where n!= 1*2...n, wi...

A: Given that: fn(x)=∑k=0nxkk!=1+x+x22+x36+......+xnn! To Prove: By induction for all non negative whol...

Q: Use the Table of Integrals to evaluate the integral.

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Q: A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The...

A: Given: (a). The sterilization tank contains 80 gallons of a solution of 4% ordinary household bleach...

Q: Assume that we know that f(x) is a one-to-one function. a. If f(-1) = -8 then f-1(-8) = b. If f-1 (9...

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Q: I feel the chain rule is at work here, I am not sure, please help!

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...