Determine the long-run behavior of the rational function (x + 1)(3x + 1) (6x + 1) (3x - 5) f(x) = NOTE: Enter the exact answers. As x→∞o, f(x) → - As r→-∞, f(x) →→

Q: Use the Laplace transform to solve the given system of differential equations. dy dt dy dt x(t) =…

A:

Q: Subject: calculus Find inverse laplce of (s)/(s^2+a^2) by integration formula

A:

Q: What is the average distance between the parabola y = 7x(16-x) and the x-axis on the interval…

A: What is the average distance between the parabola y = 7x(16-x) and the x-axis on the interval [0,16)

Q: Suppose that f(x) = x¹ — 4x³.

A:

Q: Find the work done by the force field F in moving an object from A to B. F(x, y) = 2y³/2 i + 3x√yj…

A: Fx,y=2y32i+3xyj

Q: Problem #1 A family of curves is given by x² - y² = k²_for k = {-00,00} Find the equation of the…

A:

Q: Evaluate the indefinite integral: f4e4* sin(e) dx =+C =

A:

Q: iii) the polar equation r = cose is equivalent to x² + y² =

A:

Q: ction represented by the power series. En ².s B ²-8 +8

A:

Q: Evaluate (2x - y) dx + (x + 2y) dy. C: x-axis from x = 0 to x = 4

A: To evaluate ∫C2x-y dx+x+2y dy. C: x-axis from x=0 to x=4

Q: K The length of a stalactite (in mm) has been measured at the beginning of every fourth year since…

A: t 0 4 8 12 16 Length(mm) 112 117 123 127 132 Here we are using excel

Q: For the function, do the following. f(x) = 2x from a = 4 to b = 5 (a) Approximate the area under the…

A: The given function is: f(x)=2x   from a=4  to  b=5

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A:

Q: Graph function y= 2x and y= log2^x on a single set of axes.

A:

Q: x²-100 18. Find the vertical asymptotes (if any) of the function f(x)= x²-16x+60*

A:

Q: 7. A curve in the zy-plane is described by the equation 2y(x − 1)² – xy² + 1 = 0. (a) Determine…

A: Given equation of curve: 2yx-132-xy2+1=0 Now, from the given points (1,0) , (2,0), (1,1) , (2,1) and…

Q: At a price of x dollars, the supply function for a music player is q = 80e0.005, where q is in…

A:

Q: Q3) Evaluate triple integral f2₂₂*dz dx dy.

A: The given triple integral is: I=∫-22∫y24∫04-x dz dx dy

Q: (1) A ball is dropped from a roof top. The height, in meters, and the time, in seconds, are related…

A: The answers are in step 2.

Q: Let log4(7t + 64) - 5 (a) Find the domain.

A: We have to find the domain ,range, vertical intercept, horizontal intercept, vertical asymptote.

Q: A manufacture has been selling 1500 television sets a week at $390 each. A market survey indicates…

A:

Q: Use the binomial series to expand the function as a power series. State the radius of convergence:…

A: (1-x)34 The binomial series states that for any real number r and any complex number x with |x| <…

Q: Suppose z = : x² sin y, x = −2s² – 5t², y = −4st.

A:

Q: Compute the simple interest INT for the specified length of time and the future value FV at the end…

A:

Q: Evaluate the double integral. J бу 4x5 +1 dA, D = {(x, y) | 0 ≤ x ≤ 1,0 ≤ y ≤ x²=

A: ∬D6y4x5+1dA, D=x,y:0≤x≤1,0≤y≤x2

Q: Q1) Evaluate the integral ff*dy dx using polar coordinate

A:

Q: d an equation of the tangent line to the curve at the given point. (Round your coefficients to three…

A: To solve the following

Q: The rate of a snail moving varies inversely with the time. Match the scenario with the correct graph…

A: Speed = Distance Time Distance = Speed X Time Considering speed on the y-axis and time on the…

Q: find the particular solution to the system of ODES x - -X ỷ=2x+y, b) given x(0) = 2 and y(0) : = a)…

A:

Q: lim (x)¹/(2x) x →∞

A:

Q: If 0 = 1TT 4

A:

Q: 7xy lim (z,y) → (0,0) x2 + y² 11

A: Here we need to find the limit for the function

Q: Suppose the volume of a tree is given by V=1c²h where c is the circumference of the tree in meters…

A:

Q: Write the sum using sigma notation: 7 + 10 +13 + 16 + . . . + 40 = ▶B, where 7-1 A B=

A:

Q: 3 Use the definition of the definite integral to evaluate (5x+1) dx. Use right Riemann sums and…

A:

Q: lim xln(x+2) x →0+

A:

Q: π/4 0 (tan x + (sin x) ecosx) dx

A:

Q: lve each of the following parts. You do not need to simplify. d à. dx π Evaluate * cos(t³) dt.

A:

Q: Use the graph to find each limit. graph of f(x) -5 -4 کا -2 In the first blank, find X In the second…

A:

Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation…

A:

Q: Perform the following operations given functions f, g and h below. For the quotient function, find…

A:

Q: 37. 4 In xdx, M10 2- 1

A:

Q: K Use the figure to evaluate the following function, given that g(x) = cos x. g(2x) ABSCHIED Q…

A:

Q: The general antiderivative of the function f(x) = 2t² √t- - 3 4√t

A: The function is given as  f(x)=2t2t-34t.Simplify the expression.f(x)=2t52-34t-12

Q: Suppose a, b, and c are positive real numbers satisfying a2 = b2 + c2. r(t) =…

A:

Q: 35. Seve √x dx Hint: Let u = x¹/²

A:

Q: 1. Evaluate the integral If. (430 R (4x + 16y)dA, where R is the parallelogram bounded by the lines…

A: To find the given integral , we can change the given integral in  terms of 'u' and 'v' .

Q: Find the area bounded by the given curves. y = x² - 13 and y = 2 - 14x² square units Find the area…

A: We have to find the area bounded by the curves.

Q: Suppose F(x, y) = (2x – 4y)i + 3xj and C is the counter-clockwise oriented sector of a circle…

A: Given function (2x - 4y)i  + 3xj

Q: This example is for practice in solving a 2nd order ODE, which is a necessary ingredient for solving…

A: