Rewrite f(x) = |4x + 4 – 3 as a piecewise function. %3D (4x + 4) -3 x if x < 4 f(z) = { -(-4x – 4) - 3 if x >

Q: Integrate the function. 8 dx V36 - 64x2 X+ C sin-1 + C -1 + C D 4 tan-1 3. B

A: Given:       ∫836-64x2dx  substitute u=4x3→dudx=43                   dx=34du         =∫636-36u2du   ...

Q: Find a power series representation for the function. (Give your power series representation centered...

A:

Q: Find the specific solution to the following 2nd order non- homogeneous differential equation d2y/dx2...

A: Given problem:- Find the specific solution to the following 2nd order non- homogeneous differential ...

Q: Which of the following limits will be indeterminate/undefined value when direct substitution is appl...

A:

Q: Let f(x) = x ( +2)* and calculate %3D f(x) dr by using integration by substitution. What was your su...

A:

Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

A:

Q: On] and g. Be sure to put a scale on your graphs. 1)f(x) = -2", g(x) = 5-2" 2) f(x) = 3", g(x) = -.3...

A:

Q: . Credit Card Delinquency Rate The credit card delinquency rate stood at 5.7% at the beginning of 20...

A: To find: The credit card delinquency rate at the beginning of 2012. Given information: The credit ca...

Q: APPLICATION: Direction: Show the following. 1. f(x) = x2- 6x + 3 is continuous on the interval [- 3,...

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: Find the length of the transverse axis if the length of the semi-transverse axis is 55.

A: This question can be solved if we know the relation between transverse axis and semi transverse axis...

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: find revenue function using integration

Q: Evaluate the integral of t cot^-1 t dt . Indicate u, du, dv, and v. Full solution.

A:

Q: cosh?x-sinh²x = 1 %3D

A:

Q: Question 5: The 3x3 matrix M is given below, in term of a constant y: [y - 3 M = -2 y -2 -1 у — 1 y ...

A:

Q: Ferential Equations 2) y-16y 0

A:

Q: y = (x² – 1)lnx

A:

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A:

Q: ) Rationalize the denominator of

A:

Q: If fo =sinax find f'x)

A: Finding the derivative of the function using chain rule of differentiation

Q: lim ("V52"-1

A: Given: limn→∞52n-12n   We know that the radical rule; amn=amn

Q: 1 Question 3 Determine whether the series converges or diverges. Be sure to name any test(s) used n(...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Use the chain rule to find the derivative of 12 f(x) = 2(50 - 2x) You do not need to expand out your...

A: By using chain rule to find the derivative of the given function.fx=25x10-2x812    

Q: Directions: solve the following. 1) what is the derivative of 6x4-7x3 + 5x2?

A:

Q: 2. f f(x)= the cost (in dollars) of purchasing x candy bars, write a complete English sentence to ex...

A: Here, the given function f(x) is the cost (in dollars) of purchasing x candy bars.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Evaluate the limit 4x + 11 lim 5x2 – 3x + 9

A: I am attaching image so that you understand each and every step.

Q: 3. Center at the origin; focus (0, 2); vertex (0, 3) 4. The foci have coordinates (-8, 0) and (4, 0)...

A:

Q: Compute the partial derivative of h(x, z) = e4xz-3x²z. (Use symbolic notation and fractions where ne...

A: In this problem first we need to partially differentiate the function with respect to z and then put...

Q: by L'Hopital's rule 3sin e _1 lim

A:

Q: 94= are tam 4 Sknk 345 cosx

A: y=arc tan(4sinx3+5cosx)dydx=11+(4sinx3+5cosx)2ddx[4sinx3+5cosx]dydx=4[(3+5cosx)cosx-sinx(-5sinx)(3+5...

Q: An open box is formed by cutting identical squares from each corner of a 22 inches by 22 inches shee...

A:

Q: . lim 3x2 - 9 X-0

A: Let L is the value of given Limit.

Q: Find the rectangular coordinates of the points whose polar coordinates are given. ( a) ( 6, π/6) (b)...

A: This question is based on conversion of polar coordinates to rectangular coordinates.

Q: 7 dx x + 1 -1

A:

Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

A:

Q: below is the function f(x) 5+ 4+ 03- 24 1 2 3 -3 -4 lim f(1) = -→-1- lim of

A: We have to find the value of the given limits according to the given graph of function

Q: the following without the use otes, turning points and lines c ?²+b?y =r², a>b>0 ar 22 3 - 4y - 2x-8...

A: A)a2x2+b2y2 =r2,  a&gt;b&gt;0, r&gt;0r&gt;0.Hence, The curve doesn't pass through origin.Symmetry:Re...

Q: Let f(x): and calculate V80-x+I f(x) dx by using integration by substitution. What was your substitu...

A:

Q: A car is moving at a constant acceleration of 3.6 m/s away from a tree. Atr= 0, the car is 11 m away...

A:

Q: (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimu...

A:

Q: x² +8x – 4 -dx = Inx + aln(x - a) – aln(x + a) + C x³ – 4x 7. x+1 1 + bln - x³ (x – 1) 8. 4xdx 3 a+ ...

A:

Q: Find the length of the Conjugate axis if the length of the semi-transverse axis is 92 and the distan...

A:

Q: Use the Ratio Test or the Root Test to determine whether the following series converges absolutely o...

A: This is a problem of series calculation. Based on the root test we will determine the nature of seri...

Q: Tank A contains 407 litres of brine holding 181 N of dissolved salt, and tank B contains 407 litres ...

A:

Q: 2. Solve the following system of equations using the Gauss and Gauss-Jordan elimination methods. 2x1...

A: Here we have to solve the given system of linear equation by using the Gauss-Jordan elimination meth...

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4 (d...

Q: Differentiate f(r) COS (5c). Use exact values.

A: Given that f(x)=cos-1(5x) Find f'(x)

Q: 3. Find the angles between the vectors: a. u = 2i + j, b. u = 2i – 2j + k, v = 3i + 4k v = i + 2j – ...

A:

Q: a moving point is equidistant from the point (a,0,0) and the line x+a=0,y=0.Find the value of z^2

A: Let us assume that the point is = x,y,z The distance between the point a,0,0 and point x,y,z is: x-a...

Q: goldsmith finds that the demand for gold is governed by p(x) = -x² + kx, here x is in (troy) ounces,...

A: Solution is written in below steps.