B. Hyperbolic Functions 4. y = e-* cosh In (x) 5. x = Arcsinh?(1 – b)

Q: Find the partial derivatives of the function -lz + 2y 2 + 2y f(z, y) = S-(E, y) = fy(z,y) =

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Q: Find the 65th derivative of sin(x) by finding the first few derivatives and observing the pattern th...

A: Given:      y = sin x

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Q: Find the partial derivatives of the function f(z, y) -öy =Iye fz(E, y) = fy(z, u) = fay (포, y) = | f...

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Q: Does the graph of the function y = tan x - x have any horizontal tangents in the interval 0 sx <2n? ...

A: We get the slope y' of the tangent to the function y=tan x-x by differentiating it with respect to x...

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A:

Q: Find the slope of the tangent to the curve x^2+3xy+y^2=5 at (1,1).

A: The equation of the curve is given by x2+3xy+y2 = 5                           .......1 The point is ...

Q: Which one is correct, and which one is wrong? Give reasons for the answers. X-3 1 = lim - =- X-3 (a)...

A: Given: limx→3x-3x2-3

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A: The objective is to solve the above questions. 

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Q: Use a graphing calculator to find the intervals on which the function is increasing or decreasing. 1...

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Q: A farmer has 800 meters of fencing material to enclose a rectangular pen adjacent to a long existing...

A: Let's  answer 3rd questions. 

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A: Topic = Integration

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A: Solution in logarithmic equation is given

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A: Find your answer below 

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A:

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of ...

A:

Q: x In(2 + x³) dx

A: Topic  = Integration

Q: Atone com emony cae phone plan tr2500. indudes 0 i pan2 pe mee tdn mi The ting tucon ges the atly t ...

A: The function representing monthly cost for a subscriber C(x)=25.000≤x≤35025.00+0.25x-350x&gt;350 x i...

Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x + h) - f(x) %3D h

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Q: Determine if the relation defines y as a one-to-one function of x. O The relation defines y as a one...

A: To determine whether the given relation is a one to one function or not

Q: Find the vertex, focus, and directrix for the parabola y? : 8x Vertex: Focus: Equation of the direct...

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Q: Evaluate the following: 1) E =1 3kk 2) E =o (i+1)?

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Q: Your are driving away from Toledo. Your distance (in miles) away from Toledo x hours after 12:00 noo...

A: We will find the maximum distance north of your home that you reach during the trip as following.   ...

Q: 1 17. dx .2 + 4x + 5

A:

Q: Simplify the expression without using a calculator. log0.00001 =

A: This question is based on properties of logarithm.

Q: Find a polynomial of degree 3 that has zeros – 1, 1 and 2 such that the coefficents are integers= 2'

A: Let the polynomial equation be(x-α)(x-β)(x-γ)=0where α,β,γ are zeros

Q: If f(x)= x³ -3x² +2x -1, then what is f' (-1)

A: f(x) = x3 -3x2 +2x -1 

Q: Consider the function h : N → N given by h(n) = n + (-1)"+'. 1. Is h surjective? 2. Is h injective?

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Q: What is the slope of the line tangent to the graph of a function defined by f(x)= 2x²-4x+5 at (-1,11...

A: f(x)=2x2-4x+5Let y=2x2-4x+5Differentiate 

Q: Find the derivative of v(t) = te-ct Assume that c is a constant. v (t) =

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Q: Jse the quotient property of logarithms to write the logarithm as a difference of logarithms. Then s...

A: Formula:lnab=ln(a)-ln(b)

Q: Find the sbe and equation of the TANGENT and NORMAL LINE to the curve Graph cach curve, Kormal, and ...

A:

Q: Example Evaluate dx p:

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Q: (1) Suppose you lift a stone that has a mass of 5.1 kilograms off the floor onto a shelf that is 2.5...

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: dz %3D dt

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Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a = %3D %3D 3 L(x) = %3D

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Q: The frequency F of a fire truck siren heard by a stationary observer is given below, where i v repre...

A: For the solution follow the next steps.

Q: Suppose that the functions fand g are defined as follows. f(x) = -5x²+1 g (x) = /x+3 Find f-g and f....

A: (f-g)(x)=f(x)-g(x)(f-g)(x)=-5x2+1-x+3Domain x+3≥0x≥-3Domain of f-g : x∈[-3,∞)

Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x2 = 8y, th...

A:

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x3 + y3...

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Q: Solve the problem. Does the graph of the function y = 6x + 3 sin x have any horizontal tangents in t...

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Q: The angle of depression from top of an observation deck to a bench on the ground 165 feet from the b...

A: see below the answer and explanation

Q: In triangle ABC, the measures of angles A and C are 47 degrees and 58 degrees, respectively. What is...

A: We can find the answer as below

Q: J. 3x²dx Evaluate the indefinite integral. J; , and 9x6–12x3+4 • Identify what is the u=? and du=? S...

A: We have to find the indefinite integral.

Q: d'y Find for dr? y = 5x? cos(x) + 13 sin(x) d?y dz? ||

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Q: consider the following.  e^-5x=8 a) find the exact solution of the exponential equation in terms o...

A: topic  -  exponential equation e-5x   =  8taking natural log both sides ln(e-5x  )    =  ln(8)-5x  l...

Q: Compute the first three derivatives of f(t) = /13t² + 11. f'(t) = f" (t) = f'" (t) =

A: We have to find the derivatives of the given function.

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: 1. Use the characteristics of the given function to graph the function and it's reciprocal on the sa...

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