# 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.