4. Given that aj = 3, ) ak = 1 and ) bk = 5, it follows that k=1 k=1 Eak and > 2ak + bk k=2 k=1 8. ||

Q: Find the indefinite integra

A:

Q: Ay To the right is the graph of the greatest integer function, which is denoted by [x] and is define...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: estimate the following limits and the function value. Complete parts (A) through (D). Use the graph ...

A: This question is related to limit. Solve in step 2.

Q: We want to estimate f(1.01 , 0.97) for the function f(x,y)= √(4 - x2 - y2). For this, we can use an ...

A:

Q: Evaluate: -3 3 dx x2 +x-2 -5

A:

Q: Express the repeating decimal as a fraction. 0.451141414141... 0.451141414141...

A:

Q: 7. The cost of manufacturing x cases of cereal is C dollars, where C = 3x + 4Vx + 2. Weekly producti...

A: We will find the marginal cost, rate of change of cost and rise in cost with respect to time.Below f...

Q: You are designing a poster which has a border around th printed portion. The border is 2 inches wide...

A:

Q: In 2011 a country's federal receipts (money taken in) totaled $2.03 trillion. In 2013, total federal...

A: topic - exponential function

Q: Don’t skip any steps. Solve the separable differential equation : dy/dx = 3x^2y, y(0) = 2

A:

Q: The ideal gas law PV = nRT gives a relationship between the pressure P in pascals (you can read abou...

A: Given: The ideal gas lawPV = nRTP : pressure                           variableV : Volume           ...

Q: (9D? – 6D + 1)y = 0

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: 16) The following initial value problem model the payoff of a loan. Sol the initial value problem, f...

A:

Q: Evaluate the following integral by using substitution ∫4x/√(x^2+1) dx   limit: 0 to √48

A:

Q: dentify the level curves of f(x, y, z) = x² + y² + z²

A: Given question:- Identify the level curves of f(x,y,z) = x2+y2+z2

Q: 6) Find a power series representation for ; find the radius of conver- gence for your series. 1-a

A: Given that: 1+x1-x

Q: Show that the coefficients of the given differential equation are homogeneous and solve the give dif...

A:

Q: Error Analysis. Below is the solution (possibly, with errors) for the derivative of the given functi...

A: Given f(x)=3x-7 Formula ddx(x)=12x or ddx(xn)=nxn-1 Consider f(x)=3x-7=(3x-7)12 differentiating with...

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

A: The objective is to find the limit. 

Q: y = |x + 4|

A: Given: - The equation is, y=x+4 Tp sketch: - The graph of the given equation by point plotting

Q: Consider the following geometry problems in 3-space Enter T or F depending on whether the statement ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: If an upper bound exists, then it is unique.  true or false

A: An upper boond of a set is an element which is larger or equal to all elements of set A. For example...

Q: Determine the coordinates of the center and the value of the ra sphere x2- y2-2- 10x - 6y - 12z --54...

A:

Q: Anwer these questions Logarithmic functions and their rules: what does log(x) look like on a graph ...

A: Here we have to use the graph of logarithmic function , polynomial and exponential function

Q: lim,->a f (9 (x)) = f (lim,->a g (x)) O True if g is continuous O True if f is continuous

A:

Q: Use the Fundamental Theorem to calculate the definite integrals. 2 1 dx x+2 -1

A:

Q: The transformation of a function f (x) into a function g(x) is given by g(x) = Af(Bx + H) + K. %3D w...

A: Topic = Functions

Q: 4. Write a formula for a quadratic with the given features: x-intercepts (-3, 0) and (1, 0), and y i...

A: We need to find quadratic formula.

Q: 1. SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos'x- 1) dx = 0 2. xy' =2xex ...

A: As you have asked for question number 5 only, so I am solving that.   We know, ∫xdx1+x2=1+x2+C, C is...

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Aƒ(Bx + H) + K. where ...

A:

Q: Consider the line which passes through the point P(5, 5, -5), and which is parallel to the line x = ...

A: Equation of the line :       x-x0a = y-y0b = z-z0c=k ; where x0,y0,z0 is a point and a,b,c is the di...

Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an ordere...

A: The supply and demand function,Sx=4x2+11x+43Dx=115-x

Q: |(n+1)!] n!

A:

Q: (a) lim (x) X-18 9. (b) lim f(x) lim f(x) (c) X-9 (d) lim (x) DNE (e) R-9) 9. (r) lim x) DNE

A:

Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 6.4 0.8...

A: see below the answer and explanation

Q: What is the limit of the function as x approaches -4 from the left? a. does not exist b. 4 c. 2 ...

A: From the given graph we have to find the left side limit at x=-4

Q: The function f (x) = x sin is continuous on the interval (-1,1). O True O False

A:

Q: Use the rules of differentiation to find the derivative of the fur f(t) = -2t2 - 4t - 5 f '(t) =

A:

Q: 1. Sketch the graph of y=2-x. 2. If fx) =x(*+2)(z-3), use interval notation to give all values of x ...

A:

Q: 21.) Give the slope of x'y=8 at the point (2,2).

A:

Q: • What restriction (on x or y) does dy have? What dx point (x, y) does this correspond to? • Find th...

A: According to our policies we are allowed to answer only one question at a time. If you want solution...

Q: x^2=Axy+By

A: Simple value put

Q: Evaluate using Integration by parts. ∫e4x cos(2x)dx

A:

Q: TLER stic Find the equation of the plane through the origin and the points (3,–2,1) and 1,1,1).

A:

Q: What is the exact value of cos (tan¬'m) where m = :? 12 Provide your answer below:

A: if m=512 To find: the value of costan-1mSolution :let tan-1m=θm=tanθtanθ=512=pbh=p2+b2h=52+122=13cos...

Q: Show that the equation x³ – 3x – 1 has three solutions in the interval [-3, 3]. 1. Let f(x) be equal...

A: We need to choose correct options.

Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 7...

A:

Q: .Use the vertex and y-intercepts to write a forr - -2+ -3+ -4- -5+

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Suppose that the position of a particle is given by s(t)=3t^3+6t+9 (a) Find the velocity at time t....

A: Given s(t)=3t3+6t+9We know that v(t)=ddt*s(t)We know that ddx(xn)=nxn-1v(t)=ddt(3t3+6t+9)      =9t2+...