03/08/23

Integral of -1/(2x)dx

Evaluating the integral of -1/(2x)dx comes out as -1/2 ln|x| + c.Using U-substitution for the same equation, the integral of -1/(2x)dx, comes out as -1/2 ln|-2x| + c.Can anyone explain why these... more

03/08/23

1) (a) Determine if the following statements are true or false. If true give a reason or cite a theorem and if false, give a counterexample.

i) If {an} is bounded, then it converges.ii) If {an} is not bounded, then it diverges.iii) If {an} diverges, then it is not bounded.(b) Give an example of divergent sequences {an} and {bn} such... more

03/07/23

Find the derivative of f(x) = (2/x-1)^3

Find the derivative of f(x) = (2/x-1)^3I need assistance in solving this problem, I am having trouble understanding what to do. I would greatly appreciate any help. I've been stuck on this problem... more

03/06/23

quadratic equations given roots and leading coefficient

Write the quadratic equation whose roots are 6, and 1 and whose leading coefficient is 3(use the letter x to represent the variable)

03/06/23

What is the simplest form: 3rd root 128m^14n^3

03/06/23

Find an nth-degree polynomial function with real coefficients, a leading coefficient of 1, and satisfying the given conditions. n=3; 4 and 4i are zeros

Find an nth-degree polynomial function with real coefficients, a leading coefficient of 1, and satisfying the given conditions.n=3; 4 and 4i are zeros

Cut a 11’ 9 1/2” wood jnto 4 pieces

If I have a 2x4 wood that is 11’ 9 1/2” I need to cut it into 4 pieces, how long should I cut it?

03/04/23

Solving distance and time using system of linear eqations

An airplane takes 6 hours to travel a distance of 4140 k7lometers against the wind. The return trip takes 5 hours with the wind whst is the rate of the plane in still air and what is the rate of... more

03/04/23

Implicit Differentiation

if 4x2 + 4x + xy = 5 and y(5) = -23, find y'(5) by implicit differentiation.y'(5) = ?Thus an equation of the tangent line to the graph at the point (5,-23) is y = ?

03/04/23

Pre calculus HW question

Write the given vector in terms of i and j.u = (1, 5)u= (0, -3)

03/03/23

Matilda's hours of babysitting for a dress

Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write an inequality that can be used to determine how many hours, x, Matilda will need... more

03/03/23

The radius of a circle is increasing at a rate of 4 ft/min. At what rate is its area changing when the radius is 2 ft? (Recall that for a circle, A = 𝜋r2.) ______ ft2/min

The radius of a circle is increasing at a rate of 4 ft/min. At what rate is its area changing when the radius is 2 ft? (Recall that for a circle, A = 𝜋r2.) _________ ft2/min

03/02/23

Determine g(x+a)−g(x) for the following function. g(x)=2x^2−4x

I need to determine g(x+a)-g(x) for the following function. g(x)=2x^2-4xAnswer: g(x+a)-g(x)=

03/02/23

Costforeachpoundofchocolatechips:$

A store is having a sale on chocolate chips and walnuts. For 8 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $21. For 2 pounds of chocolate chips and 5 pounds of walnuts, the... more

03/02/23

The Fundamental Theorem of Calculus

If q(t) = ∫ [2, e^t] (cos(s^9)/s^2) ds then, q'(t) =

03/02/23

Determining Intervals on Which a Function is Increasing or Decreasing

Determine where the function f(x)=(x-2)(x-3)2 is increasing or decreasing. Verify your solution graphically.  Show all steps. Submit your answer in the submission box below.

03/01/23

Algrebra 2 polynomial function graph

Find a polynomial function whose graph passes through (-1,-1),(0,-7),(1,-7),(2,11)I get lost after trying to combine the equations, I’m stressing out and won’t be able to see my teacher in time to... more

02/28/23

Write the equation of a line parallel to y = − 3 x + 4 that passes through (-1,6).

M=x1=y1=Point-slope form of the line: y- =. (x-Simplify the signs in the point-slope form: Now simplify more. *Distribute*Isolate y.Slope-Intercept form of the line:

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