If lim f(a)-71, then the line 2-486 asymptote of the graph of f(x). 80 888 is a (an) Select an answer ES MacBook Air FW

Q: Find real numbers A, ℎ, and K so that −2x2 + 4x − 8 = A(x − ℎ)2 + k.

A: The quadratic equation is given by -2x2+4x-8 = Ax-h2+k To determine: The values of A, h and k.

Q: . Use the Root Test to determine if the following series converges absolutely or diverges. 3 Σ n=1…

A: ∑n=1∞36n+7n

Q: Determine whether the improper integral diverges or converges. [" 2 √x(x + 7) dx O converges O…

A: Given integral  ∫0∞2x( x + 7 )dxFormula used ∫1x2 + a2  = 1atan-1( xa )

Q: The amount of trash, in tons per year, produced by a town has been growing linearly, and is…

A: Given:     P(t) = 71 + 2t where t is the time in years and P(t) is the production of trash by the…

Q: x = 2²/₁y= (2t+1) 7 3 -,0 ≤ t ≤ 4

A: To find the length of the curve. x=t22, y=2t+1323, 0≤t≤4

Q: The area of the region that lies to the right of the y-axis and to the left of the parabola x = 8y -…

A:

Q: Convert the complex number −6+2√3i into polar form. Express the angle using radians in terms of over…

A: given complex number is -6+23i and we need to convert it to polar form.

Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of f(x) = 4x + 19 between…

A:

Q: Find the length of the equiangular spiral r = (Use symbolic notation and fractions where needed.) 5e…

A: To find the length of the equiangular spiral r=5eθ for 0≤θ≤2π.

Q: Obtain an equivalent system by performing the stated elementary operation on the system. Replace the…

A: -3x+8y-6z=-65x+3y+13z=252x+5y-11z=-10-9x+14y+10z=18

Q: Function with given infinite power series. x20 - 2 - + 5 28 x² 7 +

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Q: find a power series representation (your power series representation x=0) f(x)=2/(1-x^2) for the…

A: We need to find a power series representation for the function. (the power series representation…

Q: Consider the non-exact differential equation (a) Find an integrating factor μ = μ(x) for the…

A:

Q: Find the component form of the resultant vector.  f= Unit vector in the opposite direction of f.

A: We know that the unit vector of A is  A/|A|

Q: use the given information to determine the equation of the parabola. Focus: (3,6), vertex: (3,2)

A:

Q: Find the equation of a line tangent to the curve ²+²=9 at the point (2, √5). In addition, find the…

A: To find out the equation of the tangent line to the given curve at the point and also need to find…

Q: 7. The integral in this exercise converges. Evaluate the integral without using a table. 2 2 İ DO 1…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: The given curves are: y=1x,   y=0,    x=1,     x=3

Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = yex (a) Find f(2, 1)…

A: f(x,y)=yex

Q: 1) For which values of x the series converges? Ση!x n=0

A:

Q: The Cartesian coordinates of a point are given. (a)    (−7, 7)            (i) Find polar…

A: (a). The given cartesian coordinate is:  (x, y)=(-7, 7)

Q: Refer to the given graph of G. ул 10 Select one: a. -3 b. 0 C. 1 Determine the value of x where the…

A: Consider the graph of G

Q: A farmer has 1,500 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A: Given: A farmer has 1500 feet of fence and wishes to build two identicalrectangular enclosures as…

Q: K Solve the initial value problem. t`1 dy dt T = 6 sin ²y, y(1) = 4 The solution is (Type an…

A:

Q: 57. A sum of $1,000 is deposited in an account with an interest rate of r percent compounded…

A: As per our company guidelines we are supposed to solve first question in different questions so…

Q: differential equations (1) Solve: (D³ - D)y = x + 2.

A: We have to solve the given differential equation.

Q: Use partial fractions to find the power series of the function: 4x + 93 (x-6)(x + 7)

A:

Q: 0 Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation…

A: The given integral is: ∫6∞ e-6x dx

Q: 3 Solve the following differential equation y"-2y+y=et-2

A:

Q: The owner of a ranch has 2,900 yards of fencing material with which to enclose a rectangular piece…

A: The owner has 2900 yards of fencing material, to enclose a rectangular piece of grazing land along a…

Q: Find the derivative of the function. f(x) = In(√x + 5) f'(x) =

A: Given data f(x)= ln(x+5)

Q: insider the solid obtained by rotating the region bounded by the given curves about the y-axis. 1²…

A:

Q: Subject: calculus

A:

Q: Evaluate the following expressions. Your answer must be an exact angle in radians and in the…

A:

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A:

Q: 4. Given the equation f(x) = a(x−p)² + a(x-p)² + q what does the a represent?

A: To write down what q represent in the given equation.

Q: Find nd [(5x + 2y)dA where R is the parallelogram with vertices (0,0), (-4,-2), (-1,4), and (-5,2).…

A: We need to solve integral.

Q: Find the indicated limit, if it exists. (If an answer does not exist, enter DNE.) lim (4x²+2x+10)…

A:

Q: Rounded to the nearest cent, find the amount of money accumulated in 10 years if $17,000 is invested…

A: we have given P=17000, time =10 years, and interest rate =7%=0.07

Q: h) y" 1y = 3 sin (2x) cax)

A: Differential equations use underermined cofficient

Q: would like to find the function that is odd: f(x)=3sin(x) f(x)=3sin^2(x) f(x)=3sin(x)+3cos(x)…

A:

Q: 5) Use the comparison property of integrals below If m≤ f(x) < M for a ≤ x ≤ b, then m(b − a) ≤ f…

A: We need to use the comparison property for the integral ∫0211+x2dx and then evaluate the value of…

Q: Convert the complex number √3+ i into polar form. Express the angle using radians in terms of π over…

A:

Q: use the given information to determine the equation of the parabola. Vertex: (1,0), directrix: x =…

A: Vertex of parabola : 1,0Directrix: x=-5

Q: 1.5 a = 0.5 O -0.5 - 1.5 *b = 8 *C= 1 -202 0.5 0 -0.5 2 2 For r the above plot of the one sheeted…

A: (x/a)2+(y/b)2-(z/c)2=1

Q: Find the derivative of the function. f'(u) = f(u) = U u² + 8

A: given function is f(u)=uu2+8 formula of derivative used (i) d du(un)=nun-1(ii)  d du(ab)= b×d…

Q: lim 4 2+x X -2

A:

Q: Graph the polar curve r = Jo д - 4 - 2 sin 0 Select a curve and use the point(s) to adjust:

A: r=-4-2sinθ

Q: Solve the initial value problem. 12 dx dt + 2tx=t³ Int+ 1, The solution is x(t) = x(1) = 0

A: The differential equation is given by t2dxdt+2tx = t3lnt+1 Initial Condition is x1 = 0 To determine:…

Q: Determine whether the sories Σ ma converges or diverges. If it converges, find its sum. Select the…

A: The given series is: ∑m=2∞ 74m