# Pre- Calculus

21,537 results, page 100

### Physics Pre-Ap

014 (part 1 of 2) You drop a stone from a position of rest. How far will it fall vertically in the ﬁrst 2 s? The acceleration of gravity is 9.8 m/s 2 . Answer in units of m 015 (part 2 of 2) If you instead toss it horizontally at 2.7 m/s, how far will it fall vertically...

### Pre-Calc

A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be 24...

### Pre-Ap Physics

To win the game, a place kicker must kick a football from a point 17 m (18.5912 yd) from the goal, and the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 15 m/s at an angle of 58.9 ◦ from the horizontal. The ...

### Pre-Ap Physics

To win the game, a place kicker must kick a football from a point 17 m (18.5912 yd) from the goal, and the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 15 m/s at an angle of 58.9◦ from the horizontal. The ...

### Pre-Ap Physics

To win the game, a place kicker must kick a football from a point 17 m (18.5912 yd) from the goal, and the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 15 m/s at an angle of 58.9 ◦ from the horizontal. The ...

### Pre-Cal

Perform the multiplication and use the fundamental identities to simplify. (cotx + cscx)(cotx-cscx) I know that you have to foil first so cot^2x - csc^2x and then use the pythagorean identity 1+cot^2u = csc^2u but I do not know how to simplify.

### calculus

If y is a differentiable function of x, then the slope of the tangent to the curve xy - 2y + 4y^2 = 6 at the point where y=1 is ...... How do I do this? Thanks. xy - 2y + 4y^2 = 6 ---> d[xy - 2y + 4y^2] = 0 ---> xdy + ydx - 2dy + 8ydy = 0 ---> (x + 8y - 2)dy/dx = -y...

### Calculus (easy)

h t t p : / / img . photobucket . c o m / albums / v166 / stuffy1 / Mathhwforjonrevisedwithoutnotes . j p g Nix the spaces! Figured myself. It was A.

### Calculus

Instructions were evaluate the integral. (x/1-x^4) dx I know that this form is the tanh inverse 1/1-x^2 but not sure how to substitute and start this problem. Please Help.

### Calculus

Instructions were evaluate the integral. (x/1-x^4) dx I know that this form is the tanh inverse 1/1-x^2 but not sure how to substitute and start this problem. Please Help.

### calculus

dy/dx=(1+Lnx)y and if y=1 when x=1, then y=? i know i have to find the integral by multiplying dx to the other side and bringing y to left. and i got Ln(y)+ C = x + 1/x + C what do i do next. ln(y)=x+1/x+c e^(ln(y))=e^(x+1/x+c), so y= e^(x+1/x+c) y= Ce^(x+1/x)

### Calculus Help!!!

Find an equation for the tangent and normal to the curve x^2+y^2=9 at x=1 Do you have to simplify the problem to get y on one side. or is your u=x^2 v=y^2 du=2x dv=2y if so then what next?

### Calculus

An equation of the line tangent to the graph of y=(2x+3)/(3x-2) at the point (1,5) is...do I take the derivative of y=(2x+3)/(3x-2) to find the slope and then plug that into y-5=m(x-1)?

### Calculus

If M is 30% of Q, Q is 20% of P, and N is 25% of P, then M/N equals which of the following? (a) 3/250 (b) 3/25 (c) 1 (d) 6/5 (e) 4/3 When I do this problem I keep getting 6/25, but that is not one of the choices. Any help would be greatly appreciated.

### Calculus

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants: 4x + 1/(x + 6)(x - 5) I came up with A/x + 6 + B/x - 5

### math calculus

Find the are under the given curve y=square root of x + 1 from x=0 to x=9 Please walk me through each step.

### calculus

how to take the integral of cos(square root of x) dx. need to use substitution and integration by parts but I don't know what to substitute

### Calculus

I'm having trouble with this one. Problem: Find the equations for the planes parallel to x+2y-2z=1 and two units away from it.

### calculus

Find the total distance traveled by the particle moving along a straight line with velocity v=sinpit for 0<t<2.

### calculus

test the series for convergence or divergence. the sum from n=1 to infinity of ((-1)^n*e^n)/(n^3) I said it converges because the derivative of (1/n^3) is decreasing is this true?

### Calculus

Let f(x)=9sinx/2sinx+4cosx Then f'(x)=________ . The equation of the tangent line to y=f(x) at a= pi/2 can be written in the form y=mx+b where m= _____and b=_____

### Calculus

Solve the first-order initial value problem using half angle formulas {y'(x)= 1 + sin^2 x y (0)= -7

### Calculus

I am having a lot of trouble doing these types of problems. Can someone show me how to do this. Thank you for your time. Evaluate the definite integral 4 x(x+3)dx 0

### Calculus

Use the quotient rule to find f'(x): f(x) = [(x+4)(x-5)]/[2x(x+3)] For the first part...do I put them together? Can someone please complete this.

### Math:Calculus

Determine vector and parametric equations for the plane containing the point P0(1, -2, 3) and having direction vectors a= (4, -2, 5) and b = (-3, 3, 7). Thanks for the help.

### Summer School Calculus

Not sure of this: Describe three situations in which you may want to know the projection of one vector onto another. Merci for the help!

### Calculus

I need help with this problem: Let f(x)= sqrt(x-3) and g(x)=(x^2)+1 a. Compute g(f(x)) b. State the domain of g(f(x)) in interval notation. I got x-2 for a, but i do not understand b. Help please

### Calculus

Find the volume of the solid generated by revolving the region enclosed in the triangle with vertices (4.6,4.6), (4.6,0), (6.7,4.6) about the x-axis.

### Calculus

Find a formula for the following function. A parabola opening downward with its vertex at (6,1) and y -intercept equal to -35. (y-1)^2=4(-35)(x-6) Please help

### calculus

find the following derivatives: f(x) = (2x+5)/(x^2-3) f'(x)= (2)*(x^2 -3)-(2x+5)*2x/(x^2-3)^2 is that correct??? f(x)= (lnx)(cos x) f'(x)= 1/x*-sinx or do i have to use the product rule?? thank you.

### calculus

find solution to differential equation given the initial conditions DQ/dt=Q/5 Q= 50 when t= 0 i don't understand this one because of the division sign.

### Calculus

Here's another one - I think that I am starting to understand it. Find dy/dx by implicit differentiation: x^7 = cot y My answer is csc^2y / 7x^6

### calculus

use limit process. find area of region between graph y= -3x + 20 and the x-axis ove the interval [0,5]

### Calculus

Use integration by parts to find the given integral: ∫_9^1 (7t - 42)e^(7 - t) = [-28(1 + e^8)] / e^2 Is my answer correct? or... is it.. = -70e^(-2) + 14e^6

### calculus

f(x)= 7-5x^4 How would find the the absolute max and the x value? I think you have to take the derivative which is -20x^3 but then I am lost??

### Calculus

I am having a mental block. I have the answer to the question. It is (-‡,‡). I just need help figuring it out. The equation is: x^2+1>0

### Calculus

[Linear Approximations and Differentials] I tripled checked my work but I'm still not getting the correct answer. y=3x^2 x=3 & delta x =0.2 I get 3(3.2)^2 - 3(3) = 21.72

### Calculus (trig stuff)

How do I do these type of problems find the exact value. Do not use a calculator cos 7pi

### Calculus

Another volume problem...My given curves are y=1+x^2 and y=9-x^2, rotated about the line x=-1. Am I solving in terms of y for the integral? And are my bounds -2 to 2?

### calculus

How large does N have to be in order to approximate the integral of cos(x^2) from 0 to 1, using the Midpoint Rule, with error at most 10^(-6)?

### Calculus

Could you please help me with this question: Determine the values of x so that the tangent to the function (y=3/cubic root of x) is parallel to the line x+16y+3=0 Thank you

### calculus

What would be the force required to push a 100 lb. object along a ramp that is inclined 10 degrees with the horizontal?

### calculus

Find an equation of the plane orthogonal to the line (x,y,z)=(-4,-9,9)+t(-8,-1,5) which passes through the point (-9,9,-4). Give your answer in the form ax+by+cz=d.

### Calculus

Verify that the volume of a cylinder of radius r and height h is given be the formula v= pi*r^2*h using cylindrical shell method.

### calculus

Please can someone help. I need to use the composite rule to differentiate the function f(x)=(x^2-6x+23)^3/2. Any help would be greatly appreciated.

### calculus

Let g(x)=|cos x-1|. The maximum value attained by g on the closed interval [0, 2pi] is for x equal to A) -1 B) 0 C) pi/2 D) 2 E) pi I think its pi/2 but I'm not sure at all.

### calculus

Find an equation of the tangent line at x = 0 for the given function. f(x) = 5x2 + cos(x) I really need help on this one.

### Calculus

Use mathematical induction to prove that each proposition is valid for all positive integral values of n. 5^n + 3 is divisible by 4.

### Calculus

Use cylindrical shells to find the volume V of a right circular cone with height 7h and base radius 4r.

### Calculus..Need Help Soon

If f(x)=1-x^3 and f^-1 is the inverse of f, how many solutions does the equation f(x)=f^-1(x) have? a)none b)one c)three d)five e)six

### Calculus

Suppose that f (x) is a function such that the relationship given below is true. f (3 + h) - f (3) = 9h^2 + 8h (a) What is f '(3)? (b) What is the slope of the secant line through (3, f (3)) and (7, f (7))?

### Calculus

Simplify as much as possible: e^3ln5 Does the three become an exponent on 5? So.. =e^ln5^3 =25 Can someone verify this for me please?

### Calculus

integral of 2sin^3xcosx dx that is a sin cubed x. i think i use u-substituion, but im not quite sure how to do it. please help and thank you!

### Calculus

Suppose f(x) = x ^ 4 – 4x ^ 2 + 6, and g(x) = 3x ^ 3 – 8x. Prove, via the Intermediate Value Theorem, that the functions intersect at least twice between x = –2 and x = 4.

### Calculus

What are the coordinates of the points at which the slope of a function with the equation y=x^4-8x^2 is equal to zero? Please help me to understand how to approach this question.

### Calculus

The base of a certain solid is the triangle with vertices at (-10,5), (5,5), and the origin. Cross-sections perpendicular to the y-axis are squares.

### Calculus

Hello! I am a little stuck (probably because I cannot remember my trigonometric functions). Does anyone know how to solve this equation? [-sin(x)]^2-2cosx

### Calculus

Hello! I am a little stuck (probably because I cannot remember my trigonometric functions). Does anyone know how to solve this equation? [-sin(x)]^2-2cosx

### calculus

The base of a certain solid is the triangle with vertices at (-10,5), (5,5), and the origin. Cross-sections perpendicular to the y-axis are squares.

### AP Calculus

a continuous function f has domain (1,25) and range (3,30). if f'(x) is less than 0 for all x between 1 and 25, what is f(25)? a)1 b)3 c)25 d)30 e)impossible to determine from the information given

### calculus

Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x=-3 y=x^2, x=y^2

### calculus please help

Use the four step process to find the slope of the tangent line to the graph at any point: f(x) = -1/2(x^2)

### calculus

Evaluate the limits without using a calculator. Justify all steps in the solutions. lim x-->0 x^7cos(3/x)

### calculus

Evaluate the limits without using a calculator. Justify all steps in the solutions. lim x-->0 x^7cos(3/x)

### Calculus

Solve the differential equation. t(dy/dt) + 2y= t^3 t>0, y(1)=0 I think I solved it properly, I'm just trying to check my final solution.

### CALCULUS 3

Use the triple scalar product to determine whether the given points lie in the same plane. A(1, 2, 3), B(3, -4, 8), C(7, -1, 1), D(5, 5, -4)

### calculus

Use analytic methods to find the global extreme values of the function on the interval and state where they occur. y=x(2-x)^(1/2), -2<=x<=2

### Calculus 12th grade.

Find the area lying above the x axis and below the parabolic curve y= 4x -x^2 a.8 b. 8 1/3 c. 10 2/3 d. 16 B or C not sure??

### Calculus

Find the dereivative of: y =((x^2+1)/2)^6 I really don't know the process to do these one, I tryed to use the quotient rule but then I don't know how to do with the ^6 so I don't think that's the way to do it...

### calculus

Whatt is the equationn in vertex form whose graph has a maxium pointt att (-2,6) and passes through (1,-5)?

### calculus

The approximation to the area under the graph of the function f(x)= 1/(1+x^2) on the interval [-1,1], using four rectangles and the midpoint rule is

### calculus

In still water, Maria can paddle at the rate of 7 km/h. The current in which she paddles a speedof 4 km/h.At what valocity does she travel downstream? has

### Calculus

Express the region inside the leaf of the rose r=2sin2? in the first quadrant as an iterated integral over R?

### calculus

Just want to check and see if I am setting this up right. Let y=f(x)=x^2-6x Find the average rate of change of y with respect to x in the interval from x=4 to x=5 (5^2-6*5)- (4^2-6*4)/ 5-4

### calculus

if a rocket is launched upward at 80fett per second. what will its height be at (t) seconds later s= 80t-14t^2

### integration (calculus)

Find the indefinite integral. ∫((e^-x-1)/(e^-x + x)^2) dx I am trying to use the substitution method. u=e^-x + x du= -e^-x+1 dx Right so far?

### Calculus

Find the largest and smallest values of the given function over the prescribed closed, bounded interval of: f(x)=(3x-1)e^-x for 0<x<2

### Calculus

Find the derivative of: y= 5^x + 15/x^6 I'm assuming I need to take the natural log of each side, but I get stuck after that part.

### calculus infinate sums

how many terms of the series 1/(n*(ln(n)^8)) from n=2 to infinity would you have to add to find the sum to within 0.01

### Calculus

Find the distance traveled in 45 seconds by an object traveling at a velocity of v(t) = 20 + 2cos(t) feet per second.

### calculus

Find the derivative of the given function. Simplify and express the answer using positive exponents only. y= ((9x^2-4)^3/7x^2+4)

### calculus

Find the distance traveled in 45 seconds by an object traveling at a velocity of v(t) = 20 + 9cos(t) feet per second.

### calculus

Gah. Struggling over this for the past 20 minutes... Find the slope of the line tangent to the curve y=1/x at the point (2,0.5).

### Calculus

Could anyone please help me figure out the discontinuity that is removable of the following function?? Any help would be greatly appreciated! Thanks in advance!!! f(x)=4x/x^2+x-2

### calculus

Find the derivative of the function. y=cos((1-e^x)/(1+e^x)) Please show all work and explain. I am very confused

### Calculus

Determine the x-value for each inflection point on the graph of the following function. f(x)=3x^5-5x^4-80x^3+360x^2+1000x+850

### Calculus

Determine the x-value for each inflection point on the graph of the following function. f(x)=3x^5-5x^4-80x^3+360x^2+1000x+850

### calculus

Find a point c satisfying the conclusion of the Mean Value Theorem for the following function and interval. f(x)=x^−1 [1,9]

### calculus

fourth degree polynomial p(x) whose graph is symmetric about the y-axis, and which has a y-intercept of 10, and global maxima at (1,13) and (-1, 13).

### calculus

find the domain of the following function. State your answer in interval notation. f(x) = 5x + 10/ x + sqrt -26x - 169

### calculus(QUICK QQUESTION!!)

if f(t) were continious on the interval [-2,1] but youo were only given the function for t=-2,-3/2,-1,-1/2 ..,3/2 and 2, explain how would you apporximate f'(1)

### Calculus

Compute the volume of the solid formed by revolving the fourth quadrant region bounded by y = x^2 - 1 , y = 0, and x = 0 about the line y = 6.

### Calculus

Compute the volume of the solid formed by revolving the fourth quadrant region bounded by y = x^2 - 1 , y = 0, and x = 0 about the line y = 9.

### calculus

find the volume of the solid obtianed by rotating the region bounded by the given curves about the line x=6 x=y^2 , x=1

### calculus

evaluate the following indefinite integrals by substitution & check the result by differentiation. ∫(sin2x)^2 cos2xdx

### calculus

Use the limit process to find the area of the region between the graph of the function f(x)= x^3 and the x-axis on the interval [0,2]

### math-calculus

x^2+9xy+20y^2 i never deal with something like this before i come up with (x+4)(x+5) but that wrong because y have to be there how i do this?

### Calculus

Find a function f(n) which gives the rightsum approximation for the area under the given curve from x = 3 to x = 9 using n rectangles.

### calculus

2. Let f(x) = ksin(kx), where k is a positive constant. Find the area of the region bounded by one arch of the graph of f and the x-axis