Calculus

Find the secant lines to the curve y = 2x^2-3x over the following intervals: (a)(2,4) b) (2,3.5)(c) (2,3.1) d) (2,3.01). Approximate the slope of the tangent to the curve the point P(2,2)

How do I find the linear speed of the bicycle in inches per minute how do I find the speed of the bike in miles per hour Please explain how to do this like I'm 5

The density of a plate at the point (x,y), whose shape is the region bounded by $y = ln(x)$ , $y=0$ , $y=2$ , is given by the function $f(x,y)=x\sqrt{1+e^{2y}} $  Find the mass of the plate.

The solid generated by rotating the curve $r(t) = (t^2,t^3- t) $ with $t  \in [-1,1]$ around the y-axis.

Get the volume and surface area of the paraboloid $z=4-x^2-y^2$ cut by the plane $z=4-2x$Please explain the process and the reasoning behind the steps made (not necessarily everything, just the most i...

The last class I had in math was college precalculus.  I'm a bit older now.....70.I'm reading Calculus Made Easy. This is from Chapter IV, Simplest Cases.  I suspect I'm not remembering or didn't lear...

Question is in attached photo.  SHOW ALL WORKEVERY STEP

the question is in the attached photothis question asks to use implicit diffrenciation for a point on a tangent line just calc 1 stuff.  please show all work and every step

Find the equation of the tangent line through the function f(x)=3xe^(5x-5) at the point on the curve where x=1.step by step, showing all rules usedshow as much work as possiblei got this wrong on my e...

Hi, please take a look at this image.I have some data in a Sine wave-like curve (1). I'm looking for a way I can transform / filter the data to 'flatten' the peaks so it looks something closer to (2)....

Show all work and cite theorems used.

The question is asking you to find the equation of the displacement for the object (door+buffer) after the collision. You can find the displacement equation x(t) by first finding the equation of motio...

If f(x)=x^5+x^3+x find f^-1(3) and f(f^-1(2))

I have a following signal given:S(n) = [-1, 0, 2, -1]I have to find the Z-transform of the signal and find amplitude-frequency characteristic and amplitude-phase characteristic of the signal. So far I...

I'm trying to understand the basics of signal processing and I encountered this kind of a problem:A CFT transform is given byY(f)=X(f)\cdot H(f)whereX(f) = \Pi (\dfrac{f+1}{4})-j\cdot \Pi(\dfrac{f-1}{...

I would like to prove that $\int_0^{\frac{\pi}{2}}\frac{ x}{ \tan x}dx=\frac{\pi}{2} \ln 2.$ None of the integration techniques seems to work.

$\int_{0}^{1} \frac{dx}{x-sinx} $Hi. Instructions for this problem are to evaluate the improper integral or show that it diverges. I'm stuck at integrating this function. If someone could please expla...

$\int_{-\infty }^{0} xe^x dx$Hi. Online calculators are telling me this converges to -1. My first instinct is that it diverges to negative infinity but I get what looks like an indeterminate form when...

Find the volume of the solid obtained by rotating the region bounded by $f(x)=\sin x$, $y=0$, between $x=0$ and $x=\pi$ about $x$-axis.

Attached file has 4 questions to answer. I have attempted these but would appreciate seeing someone else attempt them before I submit. Must show all working please.

Hey, I really liked your response to the last question I asked. Could you please explain what the person means by "vanishing determinant condition," and how he derives that $h=2\sqrt{(2r+R)(r+2R)} $ a...

Hello guys, quick question. I'm attempting to optimize the surface area of a frustum but I'm having trouble understanding how to get from one step to another. Could anyone please explain why this pers...

I am making something on desmos and I need the maximum gradient of a function within a domain. I have no idea where to start.f(x) {x:a<=x<=b}find f'(x) max The desmos graph plots the function f(...

7 Let f : R 7→ R be a function with sup x∈R |f(x)| ≤ Bfor a finite number B. Show by an ε − δ argument that the function F : R 7→ R given byF(x) = integral from 0-x f(s)ds is continuous at each point...

3 Show, using $\epsilon-\delta$ definitoon of continuity, that $f : x → x^3$ is a) continuous at each fixed point $x_0 \in \mathbb{R}$,b) unifonrmly continuous on $[0,a]$.