Pre Calculus
21,837 results, page 96

calculus
use a sign chart to solve inequality. Express answers in interval notation. x^2+6<2x 
Calculus
write and row reduce the augmented matrix to find the general solution. x + y  z = 7 2x  y  5z = 2 5x + 4y + 14z = 1 3x  y  7z = 5 
Calculus II
Solve the initial value problem using Taylor Series and the following conditions: y'(t) = y(t) + 2t y(0) = A 
Calculus
Use Simpson's Rule with n = 10 to estimate the arc length of the curve. y = tan x, 0 < x < π/9 
Calculus Help
Find the derivative of the following function showing your work and fully simplifying your answer. f(x)=(8x3)^5/(6x+7)^12 Thank you!!! 
AP Calculus
Approximating the integral from 0 to 6 of (e^x dx) by 3 circumscribed rectangles of equal width on the xaxis yields ____. a) 2e^2 + 4e^4 + 6e^6 b) 2(e^2 + e^4 + e^6) c) 2(e + e^3 + e^5) d) e + 3e^3 + 5e^5 e) e^2 + 3e^4 + 5e^6 
Calculus
If position is given by p(t)=t^2 +1, find the velocity v(t) at t = 2. I'm completely lost as to where to even start with this problem. 
Calculus
At what interval is e^(5x^2) concave up? I know the second derivative is 100x^2*e^5x^210*e^5x^2 but I just can not figure this one out. Thank you for your help! 
Calculus Help Please
Use a linear approximation (or differentials) to estimate the given number. (1.999)^4 
Calculus II
the gamma function r(x) is defined by r(x)= integral from 0 to infinity of x^n1(e^1)dx where n>0. Use integration by parts to show that r(n+1)=nr(n). 
Calculus
What are two conditions that must be met before the Extreme Value Theorem may be applied? 
Calculus
Use the alternate definition, lim x>a f(x)f(a)/xa, to determine the instantaneous rate of change of f(x)= 1/x at the point (1,1/5) a)1/5 b)1/5 c)1/25 d)1/25 
Calculus Please Need Urgent2 :/
Consider the function f(x) whose second derivative is f''(x)=8x+4sin(x). If f(0)=3 and f'(0)=2, what is f(x)? f(x)=?? 
calculus
Compute the limit of the partial sums to determine whether the series converges or diverges. 1)6 + 4  4 + 4  4 + 4  4 +... 
Calculus
1.a)Determine dy/dx if y= sqrt[(3x^2+2)^3] For this question, I got 9/2x(3x^2+2)^1/2 as my answer. b)State any values of x for which the function is not differentiable 
calculus
find the volume of solid inside the paraboloid z=9x^2y^2, outside the cylinder x^2+y^2=4 and above the xyplane 
calculus please help!
Find maxima and minima and points of inflection. f(x) = 2x^3  3x^2 36x +100 on the interval [6,4] 
Calculus
Given f(x) = cubed root of x^2 (2x+5)^3, find the critical numbers after you identify the domain. 
Calculus
find the extreme values of the function and where they occur y=1/(sqrt 1x^2). So far I have y'=x/((1x^2)(1x^2)^(1/2)) but I am stuck. 
Calculus
State the cartesian equations of two lines that make angle of 60 degrees with the line r=(1,3)+s(1,1) 
CalculusMath
Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (2x − 4)^7 u = y= This problem involves the chain rule of derivatives. 
CalculusMath
f(x) = (1/2)x ln(x^6) (−1, 0) (a) Find an equation of the tangent line to the graph of f at the given point. y= 
math calculus 3
find a formula for a function g( x,y,z) whose level surfaces are planes parallel to z=3x2y+7 
calculus
Find the interval [a, b] on which the function f(x) = 2 x3+3 x2−12 x+3 is decreasing. Enter your answer as: [a, b] for some constants a, b. 
Calculus
Find the equation of the tangent to the curve y=3x^2+4x which makes a 45 degree angle with the negative xaxis 
Calculus
Integrate sqrt(x^2 + x) dx I have completed the squares and got x^2x = (x+1/2)^2 1/4 Now i don't know how to proceed, plz help me! 
calculus
Use iterated integral to find the area enclosed by r=2sin2(theta). How do i graph this? 
calculus
How do I use the product rule to find the derivative of the following. y=(x+1)(3square root x+7) y'= Please help 
Calculus
Find the equation of the line tangent to the function f(x)= square root of (x^3 + 4x) through the point (2,4) 
Calculus
Find the derivative of y=xe^x^2. Is the x being multiplied by (e^x^2)? Product rule? I don't understand how to approach this problem. 
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
Estimate the area under the graph of f(x)= x^2 + 2 x from x=1 to x=5 using 4 approximating rectangles and left endpoints. 
calculus, help!
Evaluate the definite integral: int_{1}^{e^9} \frac{dx}{x \sqrt{\ln x}} = i gt my answer as 1^(e^9) but it's saying it's wrong 
Calculus
The function h(x) = x^3+bx+d has a critical point at (2,4). Determine the constants b and d and find the equation of h(x). Show your work. 
Calculus
Find the volume of the solid obtained by rotating the region bounded by y=8x+24, y=0 about the yaxis. 
Calculus Chain rule
y = (6x^26)^4/x I would appreciate it more if work was shown. Thank you (I have the answer but want to know how to do it) 
Calculus
Solve without a calculator. cos(arcsin (3x/2)) I made a triangle but im stuck after that.. 
Calculus
Use implicit differentiation to differentiate y=x^(8/37), by writing it as y^37=x^8. Express your answer only in terms of x. 
Calculus
How can I solve this using Log differentiation? I'm not sure how to even start it. y=(cos(x)(x^2+9)^(2/3)/(sqr(x^3+2)) 
math
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = e^(3t^2) − 3t dt from 4 to x 
Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the xaxis. 
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
Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the xaxis. 
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
Let f for all Real numbers, be an odd function. Explain why, for any positive number a, the integral from a to a of f(x) = 0. 
Calculus 1
Find the exact value of each expression. (a) tan(sec^−1 5) (b) sin(2sin^1(5/13)) 
Calculus
Let R be the interior of the circle 4x2 + 4y2 −4x = 0. Evaluate double integral sqrt(x^2+y^2) 
calculus
The position of a particle is given by the equation of motion s(t)= 1/(1+t)where t is in sec and s in meters find the velocity. 
Calculus
Find the surface area of the part of the sphere x2+y2+z2=81 that lies above the cone z=√(x2+y2) 
calculus
Use implicit differentiation to find the slope of the tangent line to the graph of 18*x^(1/2)+5y^(1/2)+14 at(81/324,1) 
Calculus
(3) Suppose that f : R2 → R is a continuous function at x0 ∈ R2 and that f(x0) > 2. Show that there is a $ > 0 such that f(x) > 2 whenever x − x0 < $. 
calculus 2
Sketch the region enclosed by the given curves. Find its area. y=7cos pi x, y=12x^23 
Calculus
What is the derivative of f^3(g(x)) where both are continuous functions? I used chain rule and got 3f^2(g(x))f'(g(x))g'(x) but it is not right. 
Calculus
Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16 
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
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 
Integral calculus
find the work required to pull up the anchor if the cable weighs 20 lb/ft in water 
Integral calculus
find the work required to pull up the anchor if the cable weighs 20 lb/ft in water 
Calculus
Determine whether the hypotheses of the IntermediateValue Theorem are satisfied. f(x)=x^1/3 , [a,b]=[1,1] Please, explain. Thank you. 
mathematicscalculusderivatives
. Try this. If y=cosx find dy/d5x please show workings #thanks 
Calculus
Evaluate as limit approaches 0. (Without using l'hopital's rule. ( Sqrt(4+sin(x))2 ) / (3x) 
calculus sir damon help me or steve
integrate dx/root(coshx1) plz show step 
Calculus
Find the absolute maximum and minimum values of the function f(x)=3(x2)^(2/3)+5 on the interval [1,10]? I'm not sure how to do this. Please help. 
Calculus AB
Without using a calculator, what is the exact value of sec(arctan(12/5))  sin(arccot(3/4)) 
Calculus AB
One of the equal angles of an isosceles triangle is 55 degrees. If the base is 20 cm, what is the perimeter and the area? 
Calculus1
find the derivative using fundamental theorem of calculus integral of sin^3tdt from e^x to 0 
Calculus with analytic geometry
What is the range and domain, x and y intercepts, symmetry and asymptote of this given equation, f(x) = 2x^2  8 / x1 
calculus
Find all first and second partial derivatives of z with respect to x and y if x^2+4y^2+16z^2−64=0. 
calculus need help
If 3ay^2=x(xa)^2 with a>0, prove that the radius of curvature at the point (3a, 2a) is 50a/3. Help with working plz 
Calculus
Construct a function f : R 2 ¡æ R such that its saddle points are given by {(n, 2m+1−n)n ¡ô Z, m ¡ô Z}, where Z is the set of integers. 
Calculus
Find the volume of the solid under the plane 3x + 3y − z = 0 and above the region bounded by y = x and y = x^4 
Calculus
I need help determining whether the following functions are even, odd, or neither. Please help me. 1. f(x)=4x+5 2. f(x)=x^3x2 3. f(x)=x^4x / x^5x 4. f(x)= x^3x / x^5 
Calculus  Special sum formulas
Find the formula of n Σ (j+3)(j4) j=1 I have gotten to n(n+1)(2n+1)/6  n(n+1)/2  12n How do I simplify it from there? 
Calculus
Given 4∫8 (4 on top, 8 on bottom) f(x)dx= 12 and 4∫8 g(x)dx= 5. Evaluate the following: 4∫8 [2f(x)3g(x)]dx Would I just put 12 in for f(c) and 5 in for g(x) then solve? 
calculus
Find the domain of the vectorvalued function. r(t) = sin ti + 4 costj + tk plz help me working 
Calculus
Find all values of c that satisfy the Mean Value Theorem for integrals for f(x)= x^{2} on the interval [3, 3] 
Calculus
Find the average value of the function defined by f(x)= x^2 sin 3 x^3 on the interval [0, 3rd Root (pi)] 
Calculus  Integrals
The region bounded by y=x^2, x=y^2 is rotated about the line y=3. The volume of the resulting solid is: 
Calculus
What would the smallest positive integer be for n if: y=sinx and y^(n) means the nth derivative of y with respect to x. 
calculus
A rectangle has an area of A. Find the dimensions that minimize the perimeter. Show that it really is a minimum. 
Calculus
What is the largest possible product of two nonnegative number whose sum is 1 
Calculus
Piecewise function x if −2≤x≤0; x^2 if −2<x<0; 8x. If if −2≤x≤3; (d) Write down an analytic formula for f^{1}, and state its domain and range. 
Calculus
Let F(x) = (x+1) / (x^216). Use the definition of the derivative to compute f'(x) and give its domain. Show all steps. 
Calculus
For which values of x does the curve Y= (3x^33x^2+1) / (2x^21) , have a horizontal tangent? Show steps or explain, i dont get it 
Calculus for Business Administration and social s
Simplify the cubed root of 432x to the 12th power 
Calculus  Derivatives
Use implicit differentiation to find the second derivative y'' of the function given. x^2 + 5y^3 = 8 
calculus
Find the derivative of (3x+17)^13 (14x+6)^11x^4/5 / (20x +3)^9 using logarithmic differentiation. Assume x > 0. 
Calculus
Solve the following initial valued problems: a) g′(x) = sin(x), g(π) = 2. b) g′′(x) = 18x, g′(0) = 1 and g(0) = 5. b) g′′(x)=12x2 +2,g′(1)=7andg(1)=3. 
calculus
Find the exact area of the surface obtained by rotating the curve about the xaxis. y=((x^3)/4)+(1/3X), 1/2≤X≤1 
calculus please help!!
Find the range of the function F(x)= definite integral from [6,x] of sqrt(36t^2)dt. [0, 36π] [0, 18π]*** [6, 6] [6, 0] 
calculus
Find the constant a such that the function is continuous on the entire real line g(x)=x^2a^2/xa if x doesn't equal a 6 if x=a 
CAlculus
Find the linear function satisfying the given conditions. g(2) = 9 and the graph of g is perpendicular to the line 4x − 2y = 3. g(x) = 
Calculus
How do you find the original function given the equation of a tangent line and two points? 
Calculus 2
Determine the first three terms of the power series representations for the following functions: a) 2/(1+x)^3 b) 1/1+x^2 c) ln(1+x) 
Calculus
Find the length of the parabola y^2=4ax cut off the line x=a about the xaxis 
Calculus
Show that volume of the solid generated by revolving y=1/x between x=1,2x=infinity about xaxis 
calculus
Express the following as a product containing only sines and/or cosines. sin9x−sin7x 
Calculus 2
The region between the graphs of y=x^2 and y=6x is rotated around the line x=8. The volume of the resulting solid is? 
calculus
For f(x) = e^cos(x) use your graphing calculator to find the number of zeros for f '(x) on the closed interval [0, 2π]. A 1 B 2 C 3 D 4 
AP Calculus Help
The position of a particle is given by r(t)=(t+cos(t/2), 3sint). What is the particles velocity vector when t=pi? a)v=<0.5, 3> b)v=<2, 3> c)v=<0.5, 3> d)v=<1.5, 3> e)v=<2, 3> Thank you so much!!