a. Find all the asymptotes of the following functions 4x* + 4x3 + 12x² + 6x – 24 6x* + 8x – 9 f(x) = f(x) = %3D %3D x4 + 3x3 - 8x – 24 3x3 - 5

Q: Solve the following dy 1. xy = 2y2 - x2

A:

Q: %3D It has been determined that the cost of producing x units of a certain item is 8x + 365. The…

A: We have to find profit function.

Q: A=3 B=6 find the average rate of change of f(x)=3/x+b between x=A and x=A+h

A:

Q: Find the curvature K of the curve, where s is the arc length parameter. r(s) = (5 + s)i + j K =

A:

Q: What is the value of e*dx? Select one: O a. 1 O b. 2 O c. The integral diverges. O d. e 8

A:

Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (3, 11), v = (-4, 3) (a) u: V (b) u. u (c)…

A:

Q: Solve the differential equations using the substitution suggested by the equation. (2x + y)dx -3(2x…

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the…

A:

Q: A sales representative for a company that produces electric can openers can sell x units of their…

A:

Q: Let f(x) = VT +k, where k is a constant. Suppose we want to evaluate | f(x) dx. f(x) dæ dx – 2 dx +…

A: Given:   Let fx=π-2x+k then      ∫fxdx=∫π-2x+k dx                      =∫πdx-∫2xdx+∫k dx taking…

Q: Determine whether f(t) is continuous, piecewise continuous, or neither on [0,10], and sketch the…

A: Here we have to determine whether f(t) is continuous, piecewise continuous or neither on [0,10].

Q: Convert from rectangular to polar coordinates. (a) (0, 1) (Give your answer in the form (*,*).…

A:

Q: 10. The vectorj^3E is the same as vector O j^4E O j^5E O j^2E O jE

A: Solve by vector product

Q: dx Evaluate: XV x2 + 4 1 A) x² +4 – 4 + C x² + 4 +4 - x² +4 – 2 +C 1 (B 2 x² + 4 + 2 x² + 4 – 2 +C 4…

A:

Q: Find the Taylor polynomial of degree four for the function f(x) = e at x = 0. The Taylor polynomial…

A: The given function is:…

Q: Use L'Hopital's Rule to evaluate the following limits. b) lim x? sin (-) 4x²

A:

Q: The monthly profit, P(x), of a company is expected to change at the rate of 6,498 P'(x) = 3 – (2а —…

A:

Q: III. Derive the following HOCAT USA dx 1. The unity rule: =1983 99 dx du dv a(=) dx dx 2. The…

A: This is a problem related to differentiation of the function. Based on the general formula we will…

Q: 7. x Arcsec (2x) dx (4x² – 1)7

A:

Q: A. Solve the following and show your solution. 1. Use the definition of Fibonacci numbers to find…

A:

Q: Find the curvature K of the plane curve at the given value of the parameter. = ti +tj, t = 3 36 r(t)…

A:

Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

A:

Q: 4. An object is moving along a horizontal line according to the position function s(t) = 2t - 21t? +…

A: Let's find.

Q: x – 2 - Let g(x) x +3 (a) Find the third degree Maclaurin polynomial of g. (b) Approximate g(0.2)…

A:

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: Given : r(t) =36-t2i + t2j-2tk   To Find : Domain

Q: Item # 5. 15 pts The following figure shows the graphs of y = f(x) and y = g(x), together with the…

A: A=2.5∫-3-1 f(x) dx = 2.5B=3.3∫-11f(x)dx=-3.3C=2∫13f(x)dx=2D=3∫-3-1g(x) dx =-3E=4.3∫-11g(x)dx…

Q: ustify your answer. 4 4 4 4 4 3 4 5 6. 7 3 + 7 4 5 6 8 9 10 11 + M| 00

A:

Q: Let (2+2 ifz> 2 f(z) = { if-2<r<2 3-z ifz<-2 Which of the following is the graph of f? O None among…

A: Graph of given questions is given.

Q: Find the area of the region enclosed by y = 3.25z and z = 5 – y. 3 -2 Use horizontal strips to find…

A:

Q: fIND THE DERIVATIVE: 1. f(x)= [(sin x)(cos x)]

A:

Q: Equation is x^2+y^2 = 13, point (2,-3). Find the equation of the tangent OR normal at that point.

A: Given query is to find the equation of the tangent.

Q: 7. DETAILS LARCALC11 11.4.012. 0/1 Submissions Used Consider the following. u - (-3, 5, 5) v = (0,…

A:

Q: Consider the sequence defined by a, = In(2n³ + 2) – In(5n³+2n² + 4). Find the limit of an as n → ∞.…

A:

Q: Determine the values of x that causing the following series to converge. (3x- 1)n 2n n=1

A: This is a problem related to convergance of the series. Based on the general formula we will answer…

Q: Question The statement below is of the form ren de = F6x) + C. Verify whether the following…

A: Note that: ∫-4x55-5cos(x)dx=-45∫x5dx-5∫cos(x) dx=-45x66-5sin(x)+C=-215x6-5sin(x)+C

Q: Here is a frequency distribution table (FDT) for a small data set: data value frequency 38 23 39 12…

A:

Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

A:

Q: 4. Set up only the integral(s) that will compute for the volume of the solid generated by revolving…

A:

Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = (t2 + 6t)i - 9t2j (a) r'(t) (b) r"(t) (c) r'(t) r"(t)

A:

Q: 2. In the differential equation 4(3x+ y-2)dx-(3x + ydy -0, we let the substitution dw=

A:

Q: 4y" – 0 +12y' + 9y - 0 e. f. y" – 6y' + 9y – 0

A:

Q: If f (x) = Vx + 7 and g(x) find f(x) g(x). %3D Keypa Answer Keyboard Shorte f(x) · g(x) =

A:

Q: Using algebra and calculus to analyze the function, Algebra: how can I find all the intercepts, as…

A:

Q: 2. Let f(x, y) = (2x – y,x – 2y); (x, y) E R × R, (R is set of real numbers.) a) Show that fis one…

A:

Q: Consider the following. u = (-2, 5, 4) v = (0, 1, 7) %3D Find u x v. Determine if u x v is…

A:

Q: Find the integrals of the following function. 1. Se3xdx 2. S(e3x + 1)?dx

A:

Q: 1. (2x+ y)dx-3(2x+ y+4)dy =0

A: Let's find.

Q: 30. For a certain continuous function f, the right Riemann sum approximation of f(x) dx with n…

A: The right Riemann sum approximations of ∫02f(x)dx with n subintervals of equal length is…

Q: 4. In the differential equation (6x–3y+2)dx-(2x- y-1)dy=0, we let the substitution dx=

A: Given differential equation, 6x-3y+2dx-2x-y-1dy=0              6x-3y+2dx=2x-y-1dy…

Q: Find the indefinite integral. 4 +2x-1 da In++c 0+1 O In\# + 1| – 3 ln|| – !+C none of these 0!+In\a*…

A: