# Pre- Calculus

21,911 results, page 100-
## Calculus

Find the x-coordinates of all points on the graph of y = x^3 - 4x^2 + 5x at which the tangent line is parallel to 2y - 10x - 7 = 0 -
## Calculus

Which of the following is the general solution of the differential equation dy/dx = 2x/y? y2 = x2 + C y2 = 2x2 + C <- my answer y2 = 4x2 + C x2 − y2 = C -
## Calculus

Use logarithmic differentiation to find the derivative of the following: y=x^x^2 x>0 Please show all steps so I can following for future understanding -
## Calculus

Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y= -1 - 4/x <- my answer y=-1*e^(1/x) y=e^(-4/x) None of these -
## Calculus

Create a function that has a graph with the following features: Two vertical asymptotes: x=1, x=3. One horizontal: y = -1. And x intercepts= -2, 4 how about f(x) = ((x+2)(x-4))/((3-x)(x-1)) ? -
## Calculus

find an equation of the tanegent line to the curve 3xsquared + 5ysquared=8 at the point (1,1) -
## Calculus

Find the relative extrema of the function f(x) = 1/2 x - sinx on the interval (0, 2 pie) please show me how you got this!! -
## Calculus

Find equation of two tangent lines to curve y=x^2 that intersect @ (2,-2). Need exact values. -
## calculus

Consider the function f(x)=12x^5+30x^4–160x^3+5 . f(x) has inflection points at (reading from left to right) x=D , E , and F D= E= F= -
## calculus

Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x. -
## Calculus

Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x. -
## Calculus 12th grade.

Find the area lying above the x axis and below the parabolic curve y= 4x -x^2 a.8 b. 8 1/3 c. 10 2/3 d. 16 B or C not sure?? -
## calculus

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→0 (e^x − e^−x − 2x)/(x − sin(x)) -
## calculus

consider the function; f(x)=x^4-3x^2-1 a) Find all the point where f'(x)=0 b) Use the second derivative test to classify the stationary points? -
## Calculus

f(x)=(y+a) and b=the limit as y aproches 2+f is 1000 figure out a,y, and f I'm lost, but I need to know for our trimester final. I don't even know if it's possible. -
## calculus

Consider the following function. f(x) = (6 − x)e^−x (c) Find the point of inflection. (If an answer does not exist, enter DNE.) (x,y)=( , ) -
## Calculus

U substitution on indefinite integral/antiderivative. (t^3+4)^-2 t^2 On this should I use u on the parenthesis and should I put this into a natural log? -
## Calculus

Find the derivatives of the function f(t)=cosh^2(4t)-sinh^2(4t). Simplify your answer completely. -
## Calculus

Find the particular solution of the differential equation y'=(5x+21y)/7x satisfying the initial condition y(1)=5. -
## Calculus

I need help with this question still!!! Find the values for a, b, and c such that the graph of y= ax^2 + bx + c has a relative maximum at (3,12) and crosses the y-axis at (0,1). Please Help!!! -
## calculus

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=tcos(t), y=tsin(t); t=π -
## calculus

The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of . x 1 1.1 1.2 1.5 1.7 1.9 2.0 f(x) 1 3 4 6 7 8 10 -
## calculus

x = sin(θ/2), y= cos(θ/2), −π ≤ θ ≤ π. Eliminate the parameter to find a Cartesian equation of the curve. -
## Calculus

Solve the differential equation dy/dx = √[(x^3)(y)] with initial conditions x = 1, y = 2 so far i got y = (x^5)/25 + c so do i plug in 2 = (1^5)/25 + c 2 - (1/25) = c c = 49/25 = 1.96 is this correct? -
## Calculus

Use washers to find the volume formed by rotating the region enclosed by: y=1.4−2|x−13| and y=0 about the y-axis -
## Calculus

Find the volume of the solid formed when the region bounded by y=3x^2 and y=36-x^2 is revolved about the x-axis. -
## calculus

Given the function g(x)= (3x) / (2+5x^2 ) find its region of increase and decrease. Give open intervals. -
## Calculus Grade 12

Without solving , determine the points of intersection of the line r= (5,-9,3) +k (1,-12,2] and the plane [x,y,z]= (4,-15,-8) + s[1,-3,1] + t[2,3,1], if any exist. -
## calculus

Find the equation of a straight line that passes through a point (1,5) and tangent to curve y = x^3 -
## integral calculus

can anyone give me a site that best explain about the topic "work" and "center of moment"... thanks... :) -
## calculus

find a point on the curve x^3 + y^3 =2xy other than the origin at which tangent line is horizontal -
## calculus

Find the exact area of the surface obtained by rotating the given curve about the x-axis. x=t^3, y=t^2, 0 ≤ t ≤ 1 -
## Calculus

calculate and simplify f(5+deltat)-f(5) all over delta t the model is f(t) = 7-2t+11t^2 for 3lessthanequal t lessthanequal 11 -
## calculus

What angle does the tangent to the curve y(x)=sin^2(x/3)+15sin(x/3) at x=3pi make with the x-axis? -
## Calculus AB/AP

Use the rectangles with the given dimensions to approximate the area of the region in the first quadrant bounded by the graphs of y = 4 – x2 , y = 0, and x = 0. 4 _ 3|_|-. 2|_|-|-. 1|_|-|_|_ |_|_|_|_| 1 2 -
## Calculus

Find the general expression of the kth nonzero term in the taylor series f(x) = 3/(1+x), for k= 0, 1, 2,... -
## calculus

let x^2 + 4xy + y^2 + 3 = 0 are there any points on the curve where the tangent is horizontal or vertical? justify your answer. -
## calculus

sketch graph of a function f that is differentiable and that satisfies the following conditions:(1)f'(x)>0, when x<-5 (2)f'(x)<0, when -5<x<1 and when x>1 (3)f'(-5) =0and f'(1)=0 (4)f(-5)=6and f(1)=2. -
## Calculus

Find f'(a). f(x)= (x^2 + 1)/(x - 2) So, [[(a + h)^2 + 1]/[(a + h) - 2]] - [(a^2 + 1)/a - 2] and the whole thing divided by h I tried simplifying it and ended up with [a + h/-2] - (a-2), which is incorrect. I used wolfram alpha and got (a^2 - 4a - 1)/(a - -
## AP Calculus

I previously posted this but had a mistake in it. Determine dy/dx if xsiny=arctany i did (x)(cosy dy/dx)+(1)(siny)=dy/(1+y^2) so far -
## Calculus

Prove via Mathematical Induction that (7*n) - 1 is divisible by 6. I have that it is divisble when n=1, but not n=2 and so on. How should I write the inductive proofs? -
## calculus

Find Mx, My, and (x, y) for the laminas of uniform density Ï bounded by the graphs of the equations. (Use rho for Ï as necessary.) y =1/5 y = 0 x = 4 -
## Math-Calculus

Question Details: Suppose f(3)=2, f '(3)=1/2, and f '(x)> 0 and f "(x) < 0 for all x. (a) Sketch a possible graph of f (b) how many solutions does the equation f(x)=0 have? Why? (c) Is it possible that f '(2) = 1/3? Why? -
## calculus

Find the complex zeros of the polynomial function. F(x)=5x^4-16x^3-22x^2+200x-39 -
## Calculus

Use implicit differentiation to find the slope of the tangent line to the curve 2(x^2) + 2xy + 2(y^3)= -18 -
## Calculus I

lim x→ ∞ of e^(−x) sin√x A little lost. Help would be appreciated. -
## calculus

Use iterated integral to find the area enclosed by r=2sin2(theta). How do i graph this? -
## Calculus - fundamental theorems

d/dx integral e^t^2 dt from 1 to x^3 Please help. I think I'm supposed to use substitution for the x^3 and then apply the chain rule but I'm not sure how to do that. -
## Calculus

(y/(x+9y))= (x^2)-7 at the point (1, -6/55) Use implicit differentiation to find the slope of the tangent line to the curve -
## calculus II

Find the length of the entire perimeter of the region inside r = 11 sin (theta) but outside r = 2 -
## Calculus

Messed this up on my last question. Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of ∫f(x)dx where a=1 b=10 x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16 -
## calculus

write the equation (in slope intercept form) of the line perpendiculaer to y=-X/2+1 and tangent to g(x)=3X^5+2X-1 -
## calculus

describe in your own words how you would determine the instaneous rate of changeof a function using the different methods -
## math calculus (please help me)

Solve for t. (Round your answer to two decimal places. (2 − (2.479/35))^7t= 29 -
## Calculus

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim (tan(7x))^x x~>0 -
## calculus please help!!

Find the range of the function F(x)= definite integral from [-6,x] of sqrt(36-t^2)dt. [0, 36π] [0, 18π]*** [-6, 6] [-6, 0] -
## calculus

Find the exact area of the surface obtained by rotating the curve about the x-axis. y=((x^3)/4)+(1/3X), 1/2≤X≤1 -
## calculus

need some help im doin antiderivatives it has (2-x^2)^4xdx i understand how to do it for the most part but i come up with 1/5(2-x^2)^5+c the book has a answer of -1/10(2-x^2)^5+c how what am i doing wrong -
## calculus

What is the distance from the point P(x,y,z)to the z axis? Explain your answer by graphing. can anyone explian it to me plezzz -
## Calculus Help

A solid generated by rotating about the x-axis the region under the curve of f(x) from x=0 to x=b, is b^2 FOR ALL b>0. Find the function f. -
## Calculus-Derivatives

How is 6#sin(#x-1)/cos^3(#x-1) the derivative of f(x)= 3sec^2(#x-1)? #= Pi (I coulnd't find the symbol...sorry.) -
## calculus

Find the area of the region in the first quadrant enclosed by the coordinate axes and graph of x^3+y^3=1. -
## calculus

Find the number c if the line y=x is to be tangent to the graph of f(x)=x^4+c. what are the coordinates of the points of tangency? -
## Calculus 1

find the area of the largest posible isosceles triangle with 2 sides equal to 6. thanks -
## calculus

explain in your own words the process used to conclude that the derivative of a cubic function is a quadratic one -
## calculus

find the limit x-->inf (x^2+x)^1/2-(x^2-x)^1/2 so I know I multiply by the conjugate 2x/(x^2+x)^1/2+(x^2-x)^1/2 then I don't know where to finish problem -
## Calculus

If f(x)=sin(2x), find f"(x) A. 2cos(2x) B. -4sin(2x) C. -2sin(2x) D. -4sinx E. None of these Is it B from using chain rules? -
## calculus please help

Use the four step process to find the slope of the tangent line to the graph at any point: f(x) = -1/2(x^2) -
## Math - Calculus

Integration of (sinx + cosx)^2 from 0 to pi/2. I get pi/2 + 1 as my final answer... wondering if that's correct? -
## Calculus

Piecewise function x if −2≤x≤0; x^2 if −2<x<0; 8-x. If if −2≤x≤3; (d) Write down an analytic formula for f^{-1}, and state its domain and range. -
## Calculus

Find the largest volume V of the circular cone that can be inscribed in a sphere of radius = 10 cm -
## Calculus

Find an equation of the tangent line to the graph of f(x)=xsinx when x=0. A. y=0 B. f'(x)=0 C. y=xcosx+sinx D. y=x E. None of these -
## calculus PLZ HELP!!

find the equation for the line tangent to the curve at the given point. (x^2)(y^2)-2xy+x=1 at (2, 1/2) -
## calculus

determine the point of intersection of the tangents at the points of inflection to the curve f(x)= x^4 – 24x^2 – 2 -
## Calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(2x)+3 y=0, x=0, x=0.9 about the x-axis. -
## Math(module 4 Calculus)

(graphing calclator)give a four decimal approximation for the number 10^4C(25,5)/7!P(30,4) -
## Math(module 4 Calculus)

(Graphing Calculator)Sketch the graph of the function f(x)= 2x^3-7x^2-27x-18/x^2+5 -
## Calculus 3

Let G be the region in the first octant that is inside both the cylinders x^2+y^2=1 and y^2+z^2=1. Use a triple integral to evaluate the volume of G. -
## Calculus

I am trying to solve the following L'hopital's limits question below: lim x -> 0 from the positive direction of ( 5^(sin(x)) - 1 )/ (x) -
## Calculus

Revolve the region bounded by y=x and y=x^2 about the y axis. In cubic units, the resulting volume is? -
## calculus

Evaluate the limits without using a calculator. Justify all steps in the solutions. lim x-->0 x^7cos(3/x) -
## calculus

the lemniscate revolves about a tangent at the pole find sufaces of the solid generated? -
## Calculus

Find the area of the region bounded by the curves y=12-x^2 and y=x^2-6. Hint:The answer should be a whole number. -
## calculus

Find the discontinuities of the given function. Classify them as a point discontinuity or a jump discontunuity. g(x)= x, x<-3 5x/(x^2-4x), x>= -3 -
## calculus

Find the center of mass of the region bounded by the curve y = x3 - 4x2 +3x ; the x-axis ; x = 0 ; x = 1 -
## calculus(QUICK QQUESTION!!)

if f(t) were continious on the interval [-2,1] but youo were only given the function for t=-2,-3/2,-1,-1/2 ..,3/2 and 2, explain how would you apporximate f'(1) -
## calculus

f(x)=3-5x , (-1,8) find the slope of the tangent line to the graph of the function at the given point how do you figure this out? -
## calculus

find the exact arc length of the curve: y=0.5(e^x + e^-x) for 0 is less than or equal to x and x is less than or equals to ln2. -
## Calculus

The region between the graphs of x=y^2 and x=4y is rotated around the line y=4. The volume of the resulting solid is how so i solve? -
## calculus

solve the differential equation. assume a, b and k are non zero constants. dR/dt = kR i don't understand how to do these problems. -
## calculus help

integrate cos^10xdx.. .plz show working i really wanna learn these thanks anyway -
## Calculus

The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following: y=1 y=-18 y=2 y=0 I still don't get this based on steve's answer will someone please help? -
## calculus

Find the smallest possible area of an isosceles triangle that is circumscribed about a circle of radius r -
## Calculus

find lim (2x+1+cos2x/22) x->0 Give one sequence starting at x=0.1 to support your claim. -
## Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis. -
## repost Calculus

the length of the curve of intersection of the cylinder (4x^2) + y^2 = 4 and the plane x + y + z = 2 I'm so lost. Any help is appreciated! -
## Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1 -
## Calculus

The Riemann sum s for f(x)=4x^2, 0<=x<=1, taking the sample points to be the right endpoints is given by s=4n^2+6n+2/3n^2. True or False? -
## calculus

determine if this converges and methods used to find its covergence or divergence. The series as n = 1 to infinity of [(2n+3)/(3n+2)]^n -
## calculus

find the dimensions of the rectangle of maximum area that can be inscribed inside the ellipse (x/4)^2+(y/3)^2 = 1