cosh(2r) – 1 6. (a) Show that sinh (z) = (b) Find the nth term of the following sequence {1,8, 10, 26, 46, · … - } for all n 2 1.

Q: nd [(dy)/(dx)] if the curve is defined by 7 x? e7y + 6 y² e² x

A: We are asked to find the derivative 

Q: Find the DE of each of the following by eliminating the arbitrary constants. y =Ce* +C2cos.x +C3sin ...

A: Herw we have to find the differential equation.

Q: y = C,e²x cos(3x) + C2e2x sin(3x)

A: y=c1e2xcos3x+c2e2xsin3x  differentiate with respect to x dydx=C1(e2x3(-sin3x)+2e2xcos3x)+C2(e2x3cos3...

Q: [ tam2 tam 2 sec 2 Bd ß

A: Given that: ∫5tan2β.etan2βsec22β.dβ

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - The contour...

A:

Q: 5x' –2y' 2. The function f(x, y)= is homogenous in x and y of degree 8x +3y 3. The function S(x, y)=...

A:

Q: (x) = x^2 +3x-4, which of the following represents the solution for the equation?

A: Topic:- algebra

Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that a...

A: To find the points which is not in the domain secx

Q: Sketch a possible graph of a quadratic function which has two complex roots, a graph that opens dow...

A:  Graph of a quadratic function which has two complex roots, a graph thatopens downwards, and a y int...

Q: elect the correct choice below and, if necessary, fill in the answer boxes to complete your choice. ...

A:

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z...

A: Given:     f(x) = 4√x    Interval: [ 0 , 16 ] 

Q: Find thlength of the curve.  Y=1/6(x^2+4)^3/2, 0<x

A: We have to apply arc length formula to solve the problem

Q: f(x)=10/17sqrt(6x2+2x+6) =10(6x2+2x+6)

A: The given expression is: f(x)=10176x2+2x+6=106x2+2x+6

Q: .A: The integral of the following function: In(sin² x) dx tan(x) ay be expressed as: A In®(sin x) + ...

A: Topic:- integration

Q: f (t) = 7e – 2t sin(3t)

A:

Q: 1. y'dx-(ty+ y*Jdy = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

A: Given:

Q: Write an expression for the distance w in terms of x. - 2y +1

A: Topic:- geometry 

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z...

A: We need to find center of mass.

Q: [5tan 20 elan 28 sec? 2 Bd B 1.

A: Gievn, ∫5tan2βetan2βsec22β dβ We can solve this by substituting u=tan2β  

Q: 1 The function is equivalent to the series: 1-2t Select the correct response: 3 5 -1 -t--t2 2 t3 + ....

A:

Q: Use the Integral Test to determine whether the infinite series is convergent. n=1 Fill in the corres...

A:

Q: Bottled Water Sales The following chart shows annual per capita sales of bottled water in the United...

A:

Q: Determine which of the following sentence are propositions and indicate their truth values. 3 + 4= ...

A: This is a problem of mathematical logic chapter. As per the definition of the proposition the senten...

Q: What is the equation of the parabola with horizontal axis, vertex (-2,1), and passes through the poi...

A:

Q: Find the DE of each of the following by eliminating the arbitrary constants. y = ln tan(x – A)+B

A:

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: topic - application of derivatives

Q: What is the center of the circle with the equation: x² – 10x + y²=- 9? Blank 1 Blank 1 Add your answ...

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: Q/ Find the domain and range of the following functions メー」 y= 2y= メ+ 3+13 メー/3 3- 1,

A:

Q: On the graph of f(x) = sec x and the interval [0, 27), for what value of x does f(x) = –1? Choose al...

A: We have to find out 

Q: 16 9. 4 in

A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 An...

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for ƒ(x) = 22 sin(x), a = (Expres...

A:

Q: If f' (2) = -5 and g'(2) = 3, find %3D (a) h'(2), if h(x) = 12f(x) + 4. %3D h' (2) = (b) F'(2), if F...

A:

Q: 1 + 20 f(x) , g(x) h(x) The partial fraction decomposition of - + 3x2 can be written in the form of ...

A: Given that: x2+20x3+3x2

Q: e^X – 3x^2 = 0, [3, 5] Use the Newton’s method and Secant Method  to find solutions to within 10^-4

A:

Q: The function e* (x² – 1) is equivalent to the series: Select the correct response: 19 - x³ + -x' + 1...

A:

Q: Question 15 Find the standard equation of the parabola with focus at (0, – 21) and directrix y = 21....

A:

Q: 4. Solve the homogeneous differential dy equation dx + 9xe x .

A:

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.

Q: A contour map is given for a function f. Use it to estimate f(2, 1) and f,(2, 1). Figure Description...

A:

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point. H...

A: We know that d/dx(xn)=nxn-1

Q: The demand function for a company's product is p 24e-0.99 where g is measured in thousands of units ...

A: Given: p=24e-0.9q  

Q: e2x +2e* dx e* +1

A:

Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible va...

A:

Q: mber of these fish reached 90 thousand in the year whole number.)

A: Given: The number of a particular fish in thousand x years after 1974 can be modeled by f(x) = 223(0...

Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

A:

Q: 4.a) Is the equation Exact? * (y2 – 2xy + 6x)dx + (-x² + 2xy – 2)dy = 0 O Yes, the equation is exact...

A:

Q: 4 Suppose that f(1) = 9, f(4) = -7, f'(1) = 6, f'(4) = -1, and f" is continuous. Find the value of :...

A:

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =...

A:

Q: Alden found a partially completed 5-D table: 6. Define Do Decide Target 74 Trial 1: 15 2(15) = 30 15...

A: