Pre- Calculus

21,152 results, page 87

Calculus

Find the derivative. Simplify as much as possible. s(x)=(9-12x)/[(x/3)-(1/4)] Can someone explain this to me

CALCULUS

Let f(x)=x^(3)+x-1. Find ech number c in (1,2) that satisfies the conclusion of the Mean Value Theorem.

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

Suppose that a, b, and c are digits for which the number 708,16b,8c9 is a multiple of 99. Find a+b+c.

calculus

let f(x)=0.5x^3-4x^2-2x+5.a.use n deriv to graph f(x),f'(x),f"(X)on the window xmin = -5,xmax=10,ymin= -50,ymax= 10

College Calculus

What is the integral of cos^6x? I tried half angle identities but it didn't really help...

Calculus

prove: if z is a complex number and 1/z=the conjugate of z over the absolute value of z squared.

calculus

find if the series is convergent and what it sums to the sum from k=3 to infinity of (k+1)^2/((k-1)(K-2)) I'm not sure how to start

calculus

What is an upper bound on the absolute value of the error: |sum from n=1 to infinity of ((-1)^(n+1))/(n*5^n)) -.1826666...| ?????

calculus

the sum from n=1 to infinity of sin(n^2)/n^2 I found this converges to pi^2/6, but is it absolutley convergent also?

calculus

How do solve for q for the following and find the derivative for them? 1) pq+p+100q=50000 2) (p+1)(ã q+1)=1000 3) p=(1/2)ln((5000-q)/(q+1))

Calculus

Find the derivative for k(x) = (5x4 + 2)(3sin x). Would this be the answer: (60sinx)x^3+ (15cosx)x^5+ 2

Calculus

Find a value of the constant k such that the limit exists. lim x->1 (x^2-kx+4)/(x-1) Is the answer 5?

Calculus Derivatives

what's the equations of both lines through the point (2,3) that are tangent to the parabola y=x^2+x

Calculus

Find the derivative of the given function w=((t^3)+8)^103 Isnt the answer 309t((t^3)+8)^102

Calculus

f(x)=x^3(x^(4)-8) Find f '(x) by multiplying out before taking the derivative Is the answer x^12+-8+x^12-8x^3 simplified to 2x^12-8x^3+-16

Calculus

C(x)= 16sqrt(x) + (x^2)/1000 Find the production level that will minimize the average cost

calculus

Find an equation of the tangent line to the curve at the given point y = x + cosx, (0,1)

Calculus

Find a forula for the following function. A line with slope 5 and x-intercept 10 is the answer y(x)= 5x-50

12th grade calculus

find the derivative of y with respect to the appropriate variable y=sec^-1*5s

calculus

Find an equation of the tangent line to the curve at the point (0, 1). y = (1 + 3x)20 i got y' = 60(3x+1)^19 what do i do next?

calculus

find an equation for a line that is normal to the graph y=e^x*x and goes through the origin.

Calculus

what is the limit as x goes to 1- of (arcsin(x) - pi/2 ) / sqrt(1-x) ? I tried using L'Hopital's and it doesn't work.

calculus

find the equation of the tangent line to the given curve at the indicated point x^2(y^2)=(y+1)^2 (4-y^2) at (0,-2)

calculus

Find the numbers b such that the average value of f(x) on the interval [0, b] is equal to 9. f(x)=7+10x-3x^2

Calculus

How do I go about integrating sin[x^(1/3)]dx?? I tried doing integration by parts and I'm going in circles.

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

FInd the x-coordinates where horizontal tangents for F(x)=2x^2+4x-12 occur. The rightmost one occurs?

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

Let f be the function defined by f(x)=2x+11-3e^x If the equation of the tangent line to the graph of f at the point (0,8) is given by y=mx+b then: m=? and b=?

Calculus

Evaluate the definite integral The S thingy has 1 at the bottom and 9 at the top. 4x^2+5 divided by the sqrt of x.

calculus

find the lim x->0 (e^(-x) -1) / (1-e^x) i did this using a table and the found the limit but is there a way to do this algebraically

Calculus

limit as x approaches infinity. (sin2x)/(x) answer is 0. show me how please. thanks in advance =)

Calculus

limit of ((1/x) - (1/|x|) as x approaches x from the left side. i have no idea how to approach this problem.

Calculus

[Implicit Differentiation] (6+y)^3 + 4y = x + 55 with y' at (1, -2) y' at (1,-2) =? I got this far but I'm not sure if I'm doing it right: 3(6+y)^2(1dy/dx)+4dy/dx=1

AP Calculus

find f'(2) given g(2)=3, h(2)=-1, h'(2)=4, and g'(2)=-2 f(x)=g(x)h(x) I'm just not understanding how to start this at all and what it wants me to derive when I don't know the function

calculus

f(x)= -7(cos(s^3))(tan(s^2)), find f'(x). I got 21s^2cos(s^3) x 2s(sec^2(s^2)) but it is wrong...

Calculus

can someone break down how to take the integral of this problem? 20te^-10t dt

Calculus (trig stuff)

given a angle how do I find it's point P on the unit circle?

calculus

If f(x)=x^3. Yhe equation of the tangent line to f(x) at x=4 is y=? Using this, we find our approximation for 3.8^3 is ?

Calculus

The velocity v(t)= -t^2 + 6t - 8, find the displacement and distance traveled during the time interval [-1,5]?

calculus

Use the Intermediate Value Theorem to show that there is a root in the equation x^(1/3)=1-x in the interval (0,1).

calculus

Find the indefinite integral and check the result by differentiation. ∫u²√(u^3+2) du

calculus

Find the indefinite integral and check the result by differentiation. ∫((t^3/3)+(1/4t²)dt

calculus

Concept of FUNCTION (with atleast two examples) in every day life

Calculus

Could you please help me with this question. Determine an expression, in simplified form, for the slope of the secant PQ. a.) P(1,3), Q(1+h,f(1+h)), where f(x)=3x^2

calculus

find the derevative (hint try to use limits) (x^2010 - 1 )\(x -1 )as x approaches1

Calculus

Represent the function f(x)= 10ln(8-x) as a Maclaurin series and Find the radius of convergence

calculus

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 3 x + 4, (-4, 1)

Calculus

Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)

Calculus

Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)

Calculus

Find the value of tan2x, (pi/2)<x<pi, given secx=-5/4. So cosx=-4/5? I've no clue what to do next.

Calculus

What's the integral of e^(1+i)x dx? Please provide the full solution because I don't understand how to do this question at all.

MATH!! Calculus inverses

if g(x) is the inverse of f(X), g(x)=f^-1(x) such that g(3)=5 and f'(5)=4 what is the value of g'(3)??? HELP i just need this one.

Calculus

Find the scalar and vector projections of b onto a. a = <3, −4> b = < 6, 0> compab projab

calculus

Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum

calculus

I am stump on how to break this down for I can use the chain rule to get the integral of this equation. (-30/(2x+1)^2)=30

calculus

What is the definite integral from 0 to x of 1/(4 + t + 3t^2) dt? For starters, what is the anti-derivative and how did you find it? I think I could take it from there.

calculus

If contains the points (4, 19) and (-3, 5), what is the slope of a line perpendicular to ? Enter your answer as a decimal.

Calculus

If f(x) = (e^(x))sin(x) what is the 1000th derivative? Step are needed and the general rule/pattern

Calculus

Find the equation of the tangent line to the curve y=1+ xe^(2x) y'=(e^(2x))(2x+1) = slope What's the next step?

calculus

Find the value of x where Y= 5^2x * e^(3x^2) has a horizontal tangent. Is this point a Max, Min or plateau?

calculus

Given: theta is in standard position in quadrant 1 with p(x,y)=(5,12) find sin 2 and cos 2

calculus

Find the value of the limit.( use L'hospital rule) lim (tanx/x)^(1/x^2) x>0

Calculus

A pyramid with height 2h and rectangular base with dimensions 3b and 6b. Find the volume V of this solid.

Calculus

Differentiate: F(x)=e^(xsin2x) This isn't homework, it's review for our exam. Couldn't remember how to work it :( Thanks!

calculus

The area of the parallelogram formed by the vectors p = (a, 1, -1) and q = (1, 1, 2) is root 35. Determine the values of 'a' for which this is true.

calculus

Find the equation of the tangent line to the graph of f(x)=4ln(9x+2)at the point of x-coordinate x=2.

calculus-limits

For f(x) = e^x sinx , what can be said about lim x -> negative infinty? Explain.

Calculus

What is the largest rectangle that can be inscribed in the first quadrant of the ellipse 9x^2+16y^2=144?

calculus

"use the intermediate value theorem to prove that the curves y=x^2 and y=cosx intersect"

calculus

find the equation of the tangent line at the given value of x on the curve 2xy-2x+y=-14, x=2

Calculus III

Use the cross product to find the area of the triangle with vertices: P=(1,1,5) Q=(3,4,3) R=(1,5,7)

calculus

Use the ratio test to determine whether the series is convergent or divergent. 1/2 + 2^2/2^2 + 3^2/2^3 + 4^2/2^4 + ...

calculus

Can someone please help me find the arc length of this curve? x = 3y^(4/3) - 3/32y^(2/3) y is between -64 and 64

Calculus

If f is a polynomial function of degree 3 with the numbers 4,5, and -6 as zeros, and if f(1)=-210, determine the formula for f(x).

calculus

Find the values of a and b that make f continuous everywhere. (Enter your answers as fractions.) x^2-4/x-2 x<2 f(x)= ax^2-bx+5 2¡Üx<3 2x-a+b x¡Ý3 a= b=

Hard Calculus

f(x)= xsquared - 2x Determine whether y= f(IxI) is continous at x= 0 justify your answer

calculus

Find the second derivative of the volume of a cube with respect to the length of a side

Calculus

find the derivative of f(x)=((x^2+3)^5+x)^2 using the chain rule. I know that I would start with f'(x)=2((x^2+3)^5+x) but I don't know how to do the rest

calculus

If f is continuous on [-1, 1] and f(-1) = 4 and f(1) = 3, then there exists a number r such that |r| < 1 and f(r) = π. Can this be true or false? Please and thank you

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

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

Find the length of the intercepted arc with radius 2.5 cm and a central angle of 95 degrees

calculus

where is f(x)=12cos(3x) equal to zero. so far i have pi/2+n2pi.. i am not sure about pi/2

calculus

Use a linear approximation (or differentials) to estimate the given number (2.001)^5

calculus

Use a linear approximation (or differentials) to estimate the given number (2.001)^5

Calculus

Find the x-coordinates of all points on the graph of y=x^3 - 4x^2 + 5x at which the tangent line is horizontal.

calculus 1

find the total area between the curves ( y= 4-x ^2 ) and the x-axis over the intervals [0,4]

calculus

find the area the region bounded by the graphs of the given equation y=81x,y=x^5,x=0,x=3

a.p. calculus

find y' of the functuion in terms of appropriate variable. simplify as far as possible. y= ln(1+e^2x)^3

calculus

Find all the critical numbers for the function f(x) = cube root of 9-x^2. help please?!

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

Consider a car whose position, s, is given by the table t(s) s(ft) 0 0 .2 0.35 .4 1.8 .6 3.8 .8 6.5 1 9.6 Estimate the velocity at t=0.2

Math (Calculus AB)

An equation to the graph of y=x^3+3x^2+2 at its point of inflection is: a) y=-3x+1 b)y=-3x-7 c)y=x+5 d)y=3x+1 e)y=3x+7 Please help. I am in urgent need.

12th grade calculus

How do I find the area bounded by the curver y = x^1/2 + 2, the x-axis, and the lines x = 1 and x = 4

Calculus

If b is a positive constant, find the average value of the function f defined by f(x) = x2 + bx + 1 on the interval [-1,1]

Calculus

Multiple Choice: Suppose F(x)=∫ from 0 to x^2 of 1/(2+t^3) dt for all real x, then F'(-1)=? a. 2 b. 1 c. 1/3 d. -2 e. -2/3 Steps please? Thanks(:

calculus

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

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