Pre Calculus
21,824 results, page 99

Calculus I
Find the exact area of the surface obtained by rotating the curve about the xaxis. y = sqrt(1+5x) from 1<x<7 
calculus
An annuity has a differential equation of y'=4500+.035y, and an initial condition of y(0)=1000. Describe what is going on. 
Calculus
Find the colume, in cubis units, generated by revolving the region bounded by y=x^3 x=0 and y=8 around the line x=7 
Calculus
Find the volume, in cubic units, generated by revolving the region bounded by y = x3 , x = 0, and y = 8, around the line x = 7 . 
Calculus
Calculate the derivative.? d/dx ∫ from √x to x^2 tan9tdt = Use symbolic notation and fractions where needed. 
calculus
Find the constants a & b such that the function f(x)={2 if ≤ 1 {ax+b if 1<x<3 {2 if x ≥3 is continuous on the entire real line 
calculus
Calculate f" for f(x)=g(e^(2x)), where g is a function defined for all real numbers & g admits second order derivative. 
calculus
Calculate f" for f(x)=g(e^(2x)), where g is a function defined for all real numbers & g admits second order derivative. 
calculus
Find the equation, in slope intercept form , of the line tangent to the graph of the square root of (x^3+7x+1), when x=3 
Calculus
If 3x^22y^2=4xy + 20, find the point(s) at which the graph from Problem 28 has vertical tangents. I found that dy/dx= (3x2y)/(2x+2y), but now I don't know what to do. Do I set dy/dx to 0? 
calculus
How do I integrate x(arctanx) dx? Is it some sort of integration by parts? Can you please show steps? Thanks in advance! 
mathcalculus
using quadratic formula solve x^22x6 = 4. and answer have to be 1+sqrt3, 1+sqrt11 i just not get how to get this. 
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 
calculus
Find a formula for a quadratic function whose graph has a yintercept at y = 21 and only one zero at x = –28. 
Calculus
Could really use a lot of help here what is the slope of the tangent line to cos(xy)=xe^x at point (0,3pi/2) 
college Calculus Help!
Find the derivative of the function. 1. F(x)= (1+2x+x^3)^1/4 2. f(t)= (1+tant)^1/3 > i hate trig. 3. y=4sec5x 4. y=xsin√x 
college Calculus Help!
Find the derivative of the function. 1. F(x)= (1+2x+x^3)^1/4 2. f(t)= (1+tant)^1/3 > i hate trig. 3. y=4sec5x 4. y=xsin√x 
Calculus AP need help!
i don't know how or what to starts Find the slope of the tangent line to the curve 4x^2+3xy+3y^3=251 at the point (4,5) 
calculus 2
Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initialvalue problem y'= 3x+y^2, y(0)=1 
calculus 2
Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initialvalue problem y'= 3x+y^2, y(0)=1 
calculus
Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initialvalue problem. y' = 5x + y^2, y(0)=1. 
Calculus please help
Q. Find the minimum value of Q=x^2y subject to the constraint 2x^2+4xy=294. Its the derivative method. 
Calculus
What is the antiderivative of: (x  x^3) / (x^4 +1)? I know that somehow I will need to factor out 1/(x^2 + 1), or the derivative of arctan, but I'm not quite sure how to do this. Any help is appreciated, thank you. 
calculus antiderivation
Given that the graph of f(x) passes through the point (2,5) and that the slope of its tangent line at (x, f(x))is 3x+5, what is f(3) ? 
calculus
Find the volume of the solid formed by rotating the region enclosed by y=e2x+1y=0x=0x=09 about the yaxis. 
calculus
Rotate the region enclosed by the given functions around the xaxis. Determine the volume. y=x^2+2x+1 and y=2x+5 limits are 2 and 2 
calculus
Find the volume of the solid formed by rotating the region enclosed by y=e2x+1, y=0, x=0, x=0.9 about the yaxis. 
calculus
help!! please ...Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0about the yaxis 
CALCULUS
Could someone show me the steps to separating the variables in the following differential equation: dy/dx = (2x+1) / (y+1)? I keep messing it up. 
CALCULUS  HELP
I am trying to solve 0=1asin(a) for a, but I have reached a dead end at sin(a) = 1/a. From here I'm not sure what to do. 
calculus exam review
write two different vector equations for the plane that contains the points A(6,1,4), B(3,7,9), C(5,0,3) 
calculus
Use the 2nd derivative test to find the extremer of f on the interval [0,2PI] f(x)=2cosx+sin 2x 
Calculus
Find the equation of the tangent line to the graph of the function f(x)= 2x^3−3x^2+4x+2 at x=2 I got y=16x12 but I know it is wrong. 
Calculus 2
Does Series n=1 to infinity 1/2n+1 converge or diverge? I'm thinking it converges, because p would be < 1 right? I'm a little confused. 
Calculus
Find (1) marginal and (2)the average functions for the following total function. Evaluate them at Q=3 and Q=5 π=q^2+13q+78 
calculus
Given that f(x)=2/3x^3 + 3/2x^2 2x + 5. Find if exist, the maximum and minimum point using Second Derivative Test. 
calculus
The voltage (V) applied to a 0.25 F capacitor is given by the equation : v= (t^22t)^3/5t Find the current at t = 3.7 s. (i=C dv/dt) Round to 3 significant figures 
calculus
determine the volume of the solid of revolution generated by revolving the region bounded by y=x^3x^5, y=0, x=0 and x=1 about the line x=3 
MathCalculus
Volume using disk method: x=.000574y^(2).439y+185 Interval: (0,500) 
calculus
find the points of inflection and discuss the concavity of the graph of the function f(x) = sin x + cos X 0<x< 2pie 
Math Calculus 1
Have mercy! Find the volume of the solid obtained by rotating y=3+2xx^2, x+y=3 about the yaxis. 
calculus
the area of a rectangle is A=lw. Further suppose l=2w. calculate dA in terms of the differential dw. does this just mean to get the derivative of 2w^2 
calculus
Determine the largest rectangle that can be inscribed inside the cavities of the two curves: y = –2(x – 6)2 & y = 6x2 –12*Tx – 128 + 6*T2 
Adv Calculus
Integrate the following indefinite integral: (sin7x)^12 * (cos7x)^3 Hint: sin^2 + cos^2 = 1 
calculus
solve the following inequality. write your solution in interval notation. x^3+9x^2108 less than or equal to 0 
calculus
Find the distance d(P1,P2)between the points P1 and P2. P1=(5,2) P2=(2,1) d(P1,P2)=? *all the 1's and 2's are to be lower down.* Please show work 
math/calculus
when approximating the value of transcendental functions, why are some centers more useful than others? 
math/calculus
The function f is defined as follows: f(x)={x+6 if 5 less than or equal to x<1 f(x)={9 if x=1 f(x)={x+5 if x>1 a. find the domain b. locate any intercepts, if any 
Applied Calculus......
Rewrite the expression using positive exponents only. (Simplify your answer completely.) (x^3y^3)(x^3+y^3) 
Calculus
calculate and simplify f(5+deltat)f(5) all over delta t the model is f(t) = 72t+11t^2 for 3lessthanequal t lessthanequal 11 
calculus
use implicit differentiation to find dy/dx . Then evaluate the derivative function at the designated point. log (xy)= 2; (4, 25) 
calculus
Construct a sign chart for the derivative. Then determine the relative and absolute extrema for y = 4x2 + 4 on the interval [3,3]. 
Calculus
How would I go about finding the limit of this sequence: (e^(2n)+6n)^(1/n) Please explain the steps, it'd be super helpful! Thanks! 
Calculus
The volume of the 3dimensional structure formed by rotating the circle x^2 + (y5)^2 = 1 around the xaxis can be expressed as V = a\pi^2. What is the value of a? 
calculus
Calculate the equation of the tangent and normal lines for the curve f(x) = tan 2x, at the point where the xcoordinate is: x = π/8. 
Calculus
The volume of the 3dimensional structure formed by rotating the circle x^2 + (y5)^2 = 1 around the xaxis can be expressed as V = a\pi^2. What is the value of a? 
calculus
Find the particular solution of the following differential equation by using the given boundary conditions. y(1+x)=x(y+1)(dy/dx) when y=1 x=1 
Calculus
Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t  3 > 0<t<1 
Calculus
Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t  3 0<t<1 
calculus
find the sum. use the summation capabilities of a graphing utility to verify your result. 5 Sigma (3a) k=2 ?? 
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!! 
math calculus (please help me)
Solve for t. (Round your answer to two decimal places. (2 − (2.479/35))^7t= 29 
calculus 2
Test the series for convergence/divergence. The Summation from n=1 to infinity of: 1*3*5...(2n1)/(2*5*8...(3n1) I'm not sure what to do with the extra terms on the left. 
Calculus
How would I use the chain rule here for x^2+y^2=z^2 but still have my answer in equation form? 
Calculus
Solve the differential equation by using Laplace transforms. Find the particular solution that satisfies them of: y''+2y'+y =4e^(t) 
Calculus
Use implicit differentiation to find an equation of the tangent line to the curve at the given point x^2 + xy + y^2 = 3, (1,1) 
Calculus  please help!
How do you do this? Find the volume generated by revolving the area bounded by the ellipse(x^2)/9 + (y^2)/4 = 1 about the line x=3. 
Calculus  #5
If h(x) is equal to (x^24)/(x+2)when x ≠ –2, and h(x) is continuous for all real numbers, then what is the value of h(–2)? 0 –2 –4 2 This is impossible. There is an infinite discontinuity at x = –2. 
college calculus
I don't know how to solve this indefinite integral with both limits as variables: ^x^3 ç (z^4+1)dz ⌄ln(x) If you could explain I'd appreciate it. 
Calculus
Solve the differential and initial value problem: x(dy/dx) + 1 = y^2 y(1)=0 I tried using bernoulli and it didn't quite work. 
Calculus
I've been having a hard time with these lately... could someone explain it to me? Find f '(a). f(x) = (3x^2 − 3x + 4) 
calculus
Four out of five days were used to create a problem, how many day will it take to solve it? 
calculus
Describe the slope of the tangent line to the curve defined by x 2 + xy  y 2 = 5 when x = 2. positive negative zero undefined 
Calculus Help
Use logarithmic differentiation to find the derivative of the function. show steps please! y=(e^xcos^2(x))/(x^2+x+1) 
calculus help
explain fully what trick you must use in order to us L'Hospital's rule for indeterminate powers? 
Calculus
The velocity v (in m/s) of an object moving with acceleration a (in m/s^2) is given by v =ʃ a dt, where t is the time (in seconds). Find a formula for v, if a =(5/4t)(t^2+1)^2. 
CALCULUS
two birds are flying along in 3space. At time t, the first bird is at the point (x,y,z) on the line 
Calculus
find the area of the region inside the limacon r= 8 + 4sin(theta) HElp!! if you can show steps, i'd be greatful 
calculus
N(t) = 120/(1+11e^(−0.4t) D. At what rate is the number of fruit flies increasing after 4 days? 
CalculusMath
Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x2 − y2), (4, 2) 
Calculus
Using the definition of derivative state the function, f(x) and the value of a for lim as h>0 of (square root of (121+h) 11)/h 
Calculus II
find the distance between the given parallel planes 5x5y+z=10 and 10x10y+2z=2. I got 9sqrt51/51 
Calculus I
lim x→ ∞ of e^(−x) sin√x A little lost. Help would be appreciated. 
calculus
find the coordinates of the centroid bounded by y=25x^2 and y=4. the region is covered by a thin flat plate 
Calculus
Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid x^2/81+y^2/25+z^2/49=1 
Calculus
Find the work done by F(x,y,z)=(x^2y)i=(xz)j+(xyz)k where c=(t)i+(t^2)j+(2)k, 0<t<1. The answer is supposed to be 17/15, but i keep getting 13/10. Any help on the process would be appreciated. 
Calculus
Find the slope and equation of the tangent line to the graph of the function at the given value of x. f(x)=x^420x^2+64;x=1 
Calculus
Find all relative extrema. Use the Second Derivative Test where applicable. f(x)= cosx  x (0,2ð) 
Calculus
Find the degree 3 Taylor polynomial approximation to the function f(x)=8ln(sec(x)) about the point a=0 . 
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
Find d^2y/dx^2 for y=(x+3)/(x1) A. 0 B. y=8/(x1)3 C. y=4/(x1)^3 D. y=8/(x1)^3 E. None of these I got a positive number but am not sure about the denominator in the second derivative. 
Calculus
Which of the following functions does not have a derivative of zero? A. y=1/100 B. y=4(pi)^29 C. y=sin^2x+cos^2x D. y=cscxtanxcosx E. All do 
Calculus
With the following coordinates (16,46) (18,64) (20,60) create three formulas using Y+Ax^2+Bx+C then solve for A,B, and C to form the final equation. 
Calculus
Find the area of the region bounded by the curves y=12x^2 and y=x^26. Hint:The answer should be a whole number. 
calculus
For f(x) = e2sin(x) use your graphing calculator to find the number of zeros for f '(x) on the closed interval [0, 2π]. 
Calculus
Write the definite integral for the area of the region lying in the upper half of the ellipse given by 4x^2+y^2=4 
Calculus
Integration with USubstitution Integral of [x/sqrt(x+1)] dx I'm getting confused with how to deal with the x when I find the derivative of (x+1) because they don't match. 
calculus
The graph of the function y=x^5x^2+sinx has a point of inflection at x= a. 0.324 b. 0.499 c. 0.506 d. 0.611 e. 0.704 Thanks. 
Calculus
Use implicit differentiation to differentiate y=x8/37, by writing it as y37=x8. Express your answer only in terms of x. 
calculus
find the area under the curve y= 1/(3x+1)^2 over the interval [0,1]. please show all steps