Pre- Calculus

21,321 results, page 92

Calculus

Find the solution subject to the initial conditions. dP/dt = -2P P(0)=1 dP/-2P = dt then do i take the antiderivative? what would i do next??

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

the integral sign where 4 is on top and 2 is at the bottom (x/2 + 3)dx and im trying to find the areas to evaluate the intrgral

calculus

Evaluate the definite integral: [4,8] (4x^2+10)/(x^(1/2)) dx Been trying this for about 1 hour. Very frustrated, thank you.

Calculus II

Can someone help me with this problem? Find f if f''(x) = x^-2, x>0, f(1)=0, and f(2)=0. I tried using antiderivatives but I realized I couldn't take the antiderivative of x^-1.

calculus

please help with this problem- i've been working for the last 2 hours and can't seem to find a solution the integral of ln(x^2-x+2)

Calculus

Find the volume of the cone of maximum value that can be inscribed in a sphere of radius 10cm.

Calculus

Use implicit differentiation to find dz/dy for yz = ln (x+z) I am unsure of how to deal with the right side specifically.

calculus

Solve the two sided inequality and show the solution on real line 7 < 1-2x ≤ 10

Help calculus 2

find the area of the region inside the circle r = 3sinè and outside the cardioid r = 1 + sinè

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

I need to find the next 3 terms...but I can't figure out what the rule for this! 3, 5, 3 1/2, 4 1/2, 3 3/4, 4 1/4, 3 7/8, 4 1/8... please help! thank you so much

Calculus

Use implicit differentiation to find the second derivative: 2xy^2=4 (nothing is in parenthesis)

Calculus

Help me simplify this down some more so I can set it to zero and find my critical points. f(x) = x^3 (x+2)^6 f'(x) = x^3 * 6(x+2)^5 + 3x^2 * (x+2)^6

Calculus

How do you find factors of this with long division? 2x^3 - 3x^2 + 3x -1 = 0 I just don't know how to do it because there is a coefficient in front of first term.

calculus

Use implicit differentiation to find the slope of the tangent line to the curve (y/x+8y)=x^8 +9 at the point (1,10/-79).

calculus

sin(tan^-1(-7/3)) How do i evaluate this? answer has to be exact with no decimals.. calculators not allowed either..

calculus

find all the numbers c that satisfy the conclusion of rolle's theorem.... f(x)= cos 2x on the interval [0,3]

Calculus

Solve the differential equation, we're using u substitution: dy/dx= 4x + (4x/ sqr root (16-x^2)) Thanks. Please respond!

calculus

Find the indefinite integral and check the result by differentiation. ∫3√((1-2x²)(-4x))dx

calculus

Find the volume if the area between the curve y=lnx, x=1, and y=1 is rotated about the x-axis.

Calculus

Find the length of the entire perimeter of the region inside r = 16sin(theta) but outside r = 4.

calculus

For the function f(x) = 1 + sin(x) find f(2). Leave your answer rounded to tenths. Assume x is in radians

Calculus II

How does one obtain cos2x = cos^2(x) - sin^2(x) by differentiating the identity sin2x = 2sinxcosx

calculus

Find the length of the entire perimeter of the region inside r = 16sin(theta) but outside r = 4

calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, and x=.2 about the y-axis

calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, and x=.2 about the y-axis

calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(3x)+2, y=0, x=0, and x=.2 about the y-axis

Calculus

Evaluate the limit using L'Hospital's rule if necessary. lim as x goes to +infinity x^(6/x)

calculus

Does any tangent to the curve y=ãx cross the x-axis at x= -1? If so, find an equation for the line and the point of tangency. If not, why not?

college calculus 1

Find the local and absolute extreme values of the function on the given interval. f(x)=x^3-6x^2+9x+1, [2,4]?

Calculus

Use differentials (or, equivalently, a linear approximation) to estimate the given number. sqrt100.4

Calculus

Evaluate the following limit: lim x->(pi/2) [((pi/2)-(x))/cosx] May I please get a hint on how to start this question?

Calculus

Find the x coordinate of the absolute maximum for the function f(x)= (2+6lnx) / x? x>0 xcoordinate of abs max is?

calculus

Use an appropriate local linear approximation to estimate the value of Cotangent 46 degrees.

Calculus

Find equations of the tangent lines at all inflection points of the graph of f(x)=x^4 - 6x^3 - 12x^2 - 8x + 3

Calculus

Use a triple integral to find the volume of the solid enclosed by the paraboloid x=8y^2+8z^2 and the plane x=8.

calculus

Prove that the sum of the vectors from the vertices to the centre of a regular octogon is a zero vector.

calculus

when finding area, what does it mean when it says that the function is below by the x-axis, can you give me example of this

calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(1x+2), y=0 ,x=0 , x=0.7 about the x-axis.

calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(1x+2), y=0 ,x=0 , x=0.7 about the x-axis.

Calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(5x)+(3), y=0, x=0, x=0.8 about the x-axis.

Calculus

Find those values of x at which the tangent line is horizontal to the curve y=xsqrt2-2cosx

calculus

Calculate the volume of the body which is obtained by rotating the curve y = ex 2px, 0  x  1 about the x-axis.

Calculus III

Find an equation of the plane passing through the three points given. P=(5,1,1) Q=(1,1,2) R=(2,1,1)

calculus

I am having a problem with solving this Given the function f described by f(x)=x+3, find each of the following: f(0) f(-13) f(-12) f(1) f(4+8) can you help me please?

Calculus

Solve for x: lnx^3 - 2lnx = 1 Please try and show how you got the answer best as you can thank you :)

calculus

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

calculus

Find the volume of the solid obtained by revolving the graph of y=7x*(4-x^2)^(1/2) over [0,2] about the y-axis

calculus II

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

calculus

given h(x) =kx+1, X<1 (k is constant) X^2, x > and equal to 1 A) find value of k such that h(x) is continous at x=1 B) determine if h(x) is differentiable at x=1

ap calculus bc

Hi! Thank you very much! My question is: how do you find the antiderivative of 1 / (square root[1-(x^2)]) aka antideriv( [1/(x^2)] ^ -1) THank you!!

Calculus

Using L'Hopital's Rule, find the limit: lim x->0+ (as x approaches 0 from the right) of sinx/x^(1/3)

Calculus B

The Antiderivative of: (2x+3)/((x^3)+3x) This one is devinately integration by partial fractions but im not sure what i am doing wrong. PLEASE HELP.

Calculus

Use Newton's Method with the function f(x)=x^2-2 and initial value Xo=2 to calculate x1,x2,x3. I have no idea how to do this

calculus

Following sequence is given. A_(n+1)=sqrt(b*a_n+c) a_1=a a,b,c>0 How do you prove it is bounded and convergent?

calculus

Following sequence is given. A_(n+1)=sqrt(b*a_n+c) a_1=a a,b,c>0 How do you prove it is bounded and convergent?

ap calculus

A particle moves along a straight line with displacement s(t), velocity v(t), and acceleration a(t). Show that a(t) = v(t) dv/ds.

Calculus 1

Find the most general antiderivative of the function. Use C for any needed constant. f(u) = (u^4 + 7 sqrt(u)) / u^2 F(u) =

calculus

Find the differential dy of the given function: y=xcosx would this just be dy=(cosx-xsinx)dx

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

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

calculus

A particel is moving with the given data. Find the position of the particle. v(t)= sin t - cos t , s(0)= 0

Calculus Help

Find the area of the region enclosed by the hyperbola x^2/a^2-y^2/b^2=1 and the vertical line through a focus

Calculus

(1 pt) Find the unique solution to the differential equation y"?5y'+6y=?312sin(2t) satisfying the initial conditions y(0)=?31 and y'(0)=?18

Calculus

Find the unique solution to the differential equation y"?1y'?6y=?24(t^2)+10t+41 satisfying the initial conditions y(0)=?6 and y'(0)=?26

calculus

Determine whether the sequence is arithmetic. If so, find the common difference. (Assume that n begins with 1.)a n=2(1/5)n

Calculus

Find the volume of the solid formed by rotating the region enclosed by x=0, \ x=1, \ y=0, \ y= 8 +x^{2} about the x-axis.

a.p. calculus

find y' of the functuion in terms of appropriate variable. simplify as far as possible. y= 1+5^x^2-4tan(3x)

calculus

(a) Find the critical points of f(x) = x^(1/3)-x^(1/5) (b) Determine the maximum and minimum values of f on the interval [0; 2] and where they occur.

calculus ap

If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f'(x)=(x2-4)g(x), which of the following is true?

Calculus

Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y = (x^2 + 1)/(x^2 - 9)

Calculus

Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y = (x^3)/(x^2 - 4)

Calculus

Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y= 3[(x-1)^(2/3)] - [(x-1)^2]

calculus

g(t)=2+cos t; [0,pi] Can you help me find the average rate of change of the function over the given interval?

Calculus

Find the integral of x/ (x^4+x^2+1) from 2 to 3. I was going to integrate using the method for partial fractions but I can't factor x^4+x^2+1.

Calculus

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=5+x^6 about the x-axis.

Calculus

Consider the function y=7+5cos(8x) What is the amplitude? What is the period? What is the largest value the graph takes?

Calculus

Ba has a half-life of 283.2 hours. How long would it take for the 50 mg of Ba in a sample to decay to 1.0 mg?

Calculus

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

Calculus

Let f(x) = mx-12 if x is less than -5 = x^2 +5x -7 if x is greater than or equal to -5. If f(x) is a function which is continuous everywhere, then we must have m=_______

business calculus

For the function f(x) = 1/(x2+14x-42) there are two vertical asymptotes. Determine the x-coordinate of each one

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.

Calculus 1

Could you please explain how to find the slope using the definition of derivative of the function y=2*sqrt(x)

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 II

Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0,y= 6 +x^{8} about the y-axis.

calculus

Find an equation of the tangent line to the curve at the given point. y = 7 sec x P = (π/3, 14)

calculus

Determine the equations of two lines that pass through the point (1, -5) and are tangent to the graph of y = x^2 - 2.

calculus

find the volue of the solid that is obtained by revolving the baout the indicated axis or line y=1/2 x^2 +2 y=2 -2<x<2

Calculus (double check )

Find the centroid of the area bonded by the parabola y =4-x^2 and the x-axis? A.(0,1.6) <<<< correct? B.(0,1.7) C.(0,1.8) D.(0,1.9)

Further maths

Under differential calculus using the product rule find the derivative of (2x+3)^3(4x^2-1)^2

Further maths

Differential calculus using product rule pls with detailed explanation (2x+3)^3(4x^2-1)^2

calculus

is the answer to find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3 is y=2x^2-1

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 II

Find the area of the region enclosed by the inner loop of the curve. r = 5 + 10sin(θ) Thanks for the help!

Calculus

Find the area of the region enclosed by one loop of the curve. r = sin(12θ)

Calculus

Find the global maximum and minimum values of f(t)=4t/(2+t^2) if its domain is all real numbers?

Calculus I

Using Newton's Method, determine the first approximation to the solution of: e^(4x)= 10-2x starting with x=0 what is x1= ??? P.S. ( the 1 is a subscript )

calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^2 and x=y^2 about the x-axis.

calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^3 and x= y^3 about the line x= -1.

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