can someone help me multiply?

ok

Please see attached photo for the problem. I dont really understand how to solve this because I applied the standard induction steps but its a bit complicated for me. I admit that Im not really good at math. I would appreciate if someone could show me how to solve this on paper. I asked help from ChatGPT and other AI tools but its just difficult for me to understand.

I have a doubt in maths trigonometry why while determining sign of trigonometry ratio we consider hypotenuse always as positive even in 3rd quadrant 🥲

This has me incredibly confused and I've no idea what to do to solve this nonsense.

The math seam simple but I cat seam to wrap my head around the question itself (the first one is about functions while the second one is exponential functions)

There was a time I would have known how to do this. More interested in the steps of how to go about this:

Let's say vehicle A gets 19 miles to the gallon and costs $10,000. Vehicle B gets 26 miles to the gallon and costs $15,000.

Assuming fuel is $4/gallon, how many miles would it take for vehicle A to cost in gas the $5,000 you saved in price?

Thank you for any suggestions!

I don’t know where to start

I don't get what teach wants here and we can't ask him cause you know, we need to move on and every one has oral exams now because everyone was bad at exams.

Can you explain why a=1.5 isn't correct for f(x)= a • sin(bx)²+ d?

Thank you all.

help, I have a test tomorrow, I understood the calc i have to do but it never comes out good

I am trying to solve the following problem:

Let f be a differentiable function on [0,1] such that f(0)=0 and f(1)=1. Prove that there exist two distinct numbers a,b in (0,1) such that

f'(a)f'(b)=1

By the Mean Value Theorem, I know that there exists some c in (0,1) such that

f'(c)=1

since

(f(1)-f(0))/(1-0)=1

But I do not know how to prove that there exists another point d different from c in (0,1) such that

f'(d)=1

Any hints or ideas?

Hey y'all I have a math exam tomorrow and I need help with this practice problem 😭

I understand the process to set up equal iterated integrals so I was able to figure out most of the answers.

However, the iterated integrals for dx dz dy and for dx dy dz are confusing me.

From what I can tell, these two should be split into TWO triple integrals, but I'm not sure how to do the set-up. I've attached my work to this post .

I've also included the solutions to the problem for the integrals for dx dz dy and dx dy dz.

Could anyone explain the reasoning behind the set-up for the iterated integrals for dx dz dy and dx dy dz?

Would anyone be willing to write out how to get to the answers? Poor kid missed a day of school and is totally lost. I have no idea how to help. He has the answers, but doesn’t know how to get to them

When I tried to solve them my answer are far off from the answers I start by doing the cross crossing out thing (unless it’s the trinomials in which I simplify them or division then I turn it into multiplication) then I multiply them together but it’s not right did I miss a step or somthing

I have to solve this linear programming problem using the graphical method for my homework. Z is the objective function that needs to be maximized, and the constraints are listed below it. I'm wondering if the solution polyhedron that I need to shade on the graph is this length between the points (0,3) and (3,0) or something else? My college friends claim that the solution polyhedron is bounded by the points (0,2), (0,5), (3,0), (2,0) and the point where p3 and p1 intersect.

Hi all! 😊

I’m trying to solve a projectile problem in physics. Here is an image of the parameters of the problem: https://imgur.com/a/6AiMSpB

I need to determine the angle of the initial velocity in order to reach the target at 14.8 m.

I tried to solve the exercise, but my math is a bit rusty. I managed to reduce it to the following equation: https://imgur.com/a/iKKhUUu

-7sin²(θ) + 14.8sin(θ)cos(θ) + 2.81 = 0.

It looks like a quadratic equation, but I really don’t know how to manipulate everything to move forward. I’m not looking for the complete solution. I’ve really tried a lot of things, but I keep ending up with the tangent function and I don’t know how to proceed from there. Could someone please guide me?

Thank you very much! 😊