05/30/24

Help writing an equation

Chris needs to mix a 20% acid solution with a 60% acid solution to create 300 mL of a 36% solution. How many milliliters of each solution must Chris use?write an equation using the information that... more

05/28/24

Finding Volume of the solid

Find the volume of the solid obtained by rotating the region bounded by 𝑦=𝑥^2 , 𝑦=0, and 𝑥=3, about the 𝑦-axis.𝑉= Please show work! :D

Finding limit of a given function

How do I find the limit, if it exists, and how do I sketch its graph:. 2-x, x≤0lim f(x), where f(x) = {x→0 . x+2, x>0

Binomial expansion

The first three terms in ascending powers of x, in the expansion of (1 + a/x)n are 1 + 24/x + 252/x3.How do I find the values of a and n?

Finding values with a given equation of a curve

The curve y= (a2/(x+1))-b2x at the point (-2,2) has the gradient -25.i) How do I find the values of a and b?ii) How do I find the equation of the tangent line of the given curve at point x=1?iii)... more

05/23/24

A figure is located at (2, 0), (2, −2), (6, −2), and (6, 0) on a coordinate plane

A figure is located at (2, 0), (2, −2), (6, −2), and (6, 0) on a coordinate plane. What kind of 3-D shape would be created if the figure was rotated around the x-axis? Provide an explanation and... more

05/22/24

What dimensions will result in the rectangular portion of the window having the largest possible area

A norman window is in the shape of a semi-circle atop a rectangle, as shown. The distance around the outside of the window is 40 feet. What dimensions will result in the rectangular portion of the... more

05/20/24

Finding the equation of the locus of a moving point

The sum of the distance of a moving point, P(x,y) from the points (c,0) and (-c,0) is always 2a units. How can I find the equation of the locus of the moving point?

Find the Arguments of a given Absolute-value function

a) How can I find the arguments of the absolute-value function, y=|x-2|-x. b) How can I sketch the graph with vertex indicated with the intercepts. c) what will be the range of this funtion?

Showing that a given function is one-to-one, and finding its inverse

Given the function f: ℤ→ℤ, defined by f(x)=x - 1i. How can I show that the function f, is on-to-one, and onto f: ℤ→ℤ, defined by f(x)=x-1ii. How can I find the inverse, f-1(x) and state its domain... more

05/19/24

Algebra 1 - Simplifying Expression

Simplify the expression √45x2y5z8

05/19/24

divide rational expressions (p^2-p-2)/(2p^2+3p+1)÷(p^2-3p+2)/(p^2+10p-11)

PLEASE SHOW WORK BY TYPING IT OUT

05/16/24

Integrating problems by hand

Integrate.Do this problem by hand (do not use the Table of Integrals).Show all of your steps.∫5 / (64+𝑥2) 𝑑𝑥=  ?  + CWhich strategy did you choose? u-SubstitutionPartial FractionsTrig... more

05/16/24

Integrating problems by hand

Integrate.Do this problem by hand (do not use the Table of Integrals).∫(-18𝑥+23) / (4𝑥-3)(𝑥+4)𝑑𝑥=  ?  + CWhich strategy did you choose?u-SubstitutionPartial FractionsTrig substitutionintegration by... more

05/16/24

Integrating problems by hand

Integrate.Do this problem by hand (do not use the Table of Integrals).Show all of your steps.∫6sin3(𝑥)cos(𝑥)𝑑𝑥=  ?  + CWhich strategy did you choose?u-SubstitutionPartial FractionsTrig... more

05/16/24

Integrating problems by hand

Integrate.Do this problem by hand (do not use the Table of Integrals).∫16𝑥sin(𝑥)𝑑𝑥=  ?  + CWhich strategy did you choose?u-SubstitutionPartial FractionsTrig substitutionintegration by... more

05/15/24

Optimization Calculus Question Help (Thank You!!!)

You have a budget of $1,200,000 to build a storage facility. The shape of this building must be a rectangular prism with the length double the width. If the floor costs $100/m2, the walls cost... more

05/12/24

It costs $6 to buy a case and $3 to buy a screen protector. If the cost on a receipt for 8 items is $30, use substitution to see how many of each item were purchased?

It costs $6 to buy a case and $3 to buy a screen protector. If the cost on a receipt for 8 items is $30, use substitution to see how many of each item were purchased?

05/11/24

I need help ASAP!

A PVC pipe has a diameter of 5 inches. The whole in the pipe has a diameter of 4.8 inches. If the pipe is 6 ft long, what is its volume? Round to the nearest tenth.

05/11/24

If i have $4.90 in dimes and nickels. There are 70 coins in total. How many dimes and nickels would i have

If i have $4.90 in dimes and nickels. There are 70 coins in total. How many dimes and nickels would i have

05/10/24

What is the solution set if consistent or not?

4x1 + x2 + 7x3 = -1x1 + x2 - 4x3 = 16x1 + x2 - x3 = 5x1, x2 , x3 = ?

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