Find the standard form of the equation of the hyperbola with the given characteristics.Vertices: (0, ±8), Asymptotes: y = ±2x

Q: Use Equation 5 to find dy/dx

A: Given: eysinx=x+xy

Q: What is the first step to evaluate 1- sinx 1- sinx A Multiply the integrand by 1+ sinx 1+ sinx B Mul...

A:  

Q: What are the values of α and β so that the general solution of the system is given by: please show s...

A:

Q: 5. If f(2) = 5 and f (-1) = -4, find a and b in the function f(x) = ax + b

A:

Q: A square plot of land has a building 60 ft long and 40 ft wide at one corner. The rest of the land o...

A: The building will cover an area about 60×40=2400 sq ft. The parking lot covers an area about 12000 s...

Q: Find the nth Maclaurin polynomial for the function f(x) = sin x, n = 5

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Find the equation of the tangent line to the graph of the function f(x)=x+5/x-4 at point (0,-5/4)   ...

A:

Q: Match each graph with its equation a.r = cos(26) b. T = cos(30) %3D = sin(60) d.r = cos(60) e.r = co...

A: Consider the given: r=cos2θAt θ = πn    ,r=1At θ=π4+πn, 3π4+πn      ,r=0r=cos3θAt θ = 2πn3    ,r=1At...

Q: In this project we will analyze the flight path and velocity of an airplane making a landing. We ass...

A: Consider the given function of airline: The height of the airline starts decreasing as the value of ...

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.         ...

A: The given equations are fx,y=6-x2-y2 and x+y-2=0

Q: 6 Find the Value for the missing singles b. 17 50T b Find thefireq b. Bem Zcm 10m

A:

Q: 4. 3. Use the Laws of Logarithms to combine the expression.

A: Given, 14logx+24+13logx6-logx2-x-63

Q: Use one or more of the six sum and difference identities to verify the identity.

A:

Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,...

A:

Q: Convert the Cartesian coordinate (5,-3) to polar coordinates, 0 << 2T Enter exact value.

A:

Q: Evaluate The Indefinite Integral |- 3(10z + 5)°dz

A:

Q: As of January 2016, the national debt was $18.9 trillion, or 18.9 * 1012 dollars. At that time, the ...

A:

Q: The management at a certain factory has found that the maximum number of units a worker can produce ...

A: Lets suppose that the rate of change of performance with respect to time is dNdt (a) The required di...

Q: Find the exact value of the expression 91/ln 3

A: Given: Consider  S=91/ln 3

Q: 7. The following are expressions that occur in calculus. Factor each expression. Express your answer...

A: Given: a) 3x-12+32  , x12x &gt;0 b) 3x2+443+x×4x2+413×2x

Q: Determine whether the series is convergent or divergent. If convergent find it’s sun.

A: Answer and explanation is given below

Q: Equations are given whose graphs enclose a region. Find the area of the region. (Give an exact answe...

A:

Q: Simplify:a. (2x3y6)4 b. (-6x2y5)(3xy3) c.100x12y2 / 20x16y-4 d. (5x/y4)-2.

A: Since you have asked multiple questions in single request  so we  will be answering only first quest...

Q: Perform the indicated operation(s) and write the result in standard form. (2 + i)2 - (3 - i)2

A: Given: 2+i2-3-i2

Q: The magnitude M of a star is a measure of how bright a star appears to the human eye. It is defined ...

A:

Q: Given that the graph of f(x) passes through the point (5,10) and that the slope of its tangent line ...

A: The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at (x,f(x))...

Q: The population P of a small town grows according to the function P1t2= 100 e t&gt;50, where t is the...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Evaluate the limit of the sequence or state that it does not exist. an = ((1)/(n))1/ln n

A: Given sequence, an=1n1ln(n)

Q: Please show all steps

A:

Q: Integrals Evaluate the following integrals. Include absolute values only when needed.

A: Given that: ∫xe3x2+1 dx To find: Value of the integral  

Q: Graphs of familiar functions Use what you learned about surfaces sketch a graph of the following fun...

A: The given function is Hx,y=x2+y2. Clearly it is a equation of cone. Sketch the graph of Hx,y=x2+y2 a...

Q: 0. 50 TT+4 7.) A cylindrical can, with lid, must hold 2 liters of liquid (2000 cm'). Find the height...

A: Let height = h and radius of the base = r. Then, volume V = πr2h = 2000 cc    .........[1]and surfac...

Q: Use the Laws of Logarithms to evaluate the expression. 3125

A: Consider the logarithms expression: log513125

Q: thanks

A:

Q: Solve quadratic equation by factoring. 5x2 = 20x

A: The given function is 5x2=20x. Solve the above equation as follows.  

Q: 4- -4-5-2 2ノ3 4 -4+ Which of the following is the equation for the graph sh.

A:

Q: Please show all steps

A:

Q: State the derivatives of sin-1 x, tan-1 x, and sec-1 x.

A: To Determine: State the derivatives of sin-1 x, tan-1 x, and sec-1 x. Given: we have sin-1 x, tan-1 ...

Q: Complete the square and find the indefinite integral

A: Consider the provided integral, ∫xx2+6x+12dx Complete the square and find the indefinite integral. W...

Q: Finding a Polynomial with Specified Zeros Find a polynomial of the specified degree that has the giv...

A: Since you have posted multiple questions, as per our policy we will answer first question. please re...