# Pre- Calculus

21,537 results, page 88

### Pre-Calc-please check

Please check this for me expand (3z-2b)^5 using Binomial Theorem (a+b)^n = n on top sigma in middle k=0 to right (n/k)a^(n-k)b^k (3a-2b)^5 = 5 on top sigma in middle k=0 on bottom(5/k)(3a)^5-k(-2b)^k (5/0)(3a)^5(-2b)^0+(5/1)(3a)^4(-2b)^1 +(5/2)(3a)^3(-2b)^2 +(5/3)(3a)^2(-2b)^3...

### Pre-Cal

In terms of x, write expressions for the length, width, height, and volume of the boxes created in the activity. I just need an example, so i'll just give one box. X-1 length-20 width-14 height-1 volume-280

### Pre-Calc

If sin θ=5/13 and cos x=4/5 Find cos (θ+x) So far, I came up with the answer: (±48 - (±15)) / 65 And I know that the answer was marked out as wrong, did I go wrong with the signs? If so, what signs should I have used, is there a way of telling which quadrant is it ...

### pre algebra

A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 30 feet more than the length of the shortest side. Find the dimensions if the perimeter is 138 feet

### Pre-Calc Helppp!!!

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that B1 is smaller than B2.) a = 39, c = 40, angle A = 36° angle B1 = ° ...

### Pre-Calc

Could somebody please check this for me? Dtermine whether the graph of each equation is symmetric with respect to the origin, the x-axis, the y-axis, and the line y=x or the line y=-x. I came up with the line being symmetric to the x-axis, the y-axis, and the line y=x. I'm not...

### Health Care Fnancial Accounting

the local school system asks to submit a proposal to do pre-employment physicalsfor 60 bus drivers. What financial or accounting informaton is needed to submit the proposal? what shall I charge the school system?

### 7th grade math pre algebra

I'm confused about this math question my teacher gave us today. Bowser's dog food is 40% meat. How much dog food would Bowser eat in order to get 11 kgs of meat?

### pre algebra

An area has been reforested. After 5 years , one of the tree is 2 meters tall. After six more years, the same tree is 3.2 meters tall. name 2 ordered pairs that can be used to to graph the information?

### pre calc

A navy destroyer is exactly 68 miles North of an aircraft carrier, which is travelling West 21 degrees North at 18 mph. what speed and bearing must the destroyer maintain if it is to reach the aircraft carrier in exactly 3 hrs? is it 226mph?

### pre calc

A navy destroyer is exactly 68 miles North of an aircraft carrier, which is travelling West 21 degrees North at 18 mph. what speed and bearing must the destroyer maintain if it is to reach the aircraft carrier in exactly 3 hrs? is it 226mph?

### Pre-Cal

A telephone dial has holes numbered from 0 to 9 inclusive, and eight of these holes are also lettered. How many different telephone numbers are possible with this dial, if each "number" consists of two letters followed by five numbers, where the first number is not zero?

### Pre-Algebra

Grade 7 students were surveyed to determine how many hours per day they spent on various activities. Eating is 8%, homework is 8%, sleeping is 33%, TV is 13%, socializing 13%, and school is 25%. About how many hours per day altogether were spent on watching TV and homework?

### math

Stacey used her 20% discount card to buy 7 cans of tomatoes and 15 cans of mushrooms for $10.64. The next day Brian spent $ 7.21 on 17 cans of tomatoes and 5 cans of mushrooms in a "30% off" sale. Find the undiscounted pre- sale price of each type of can.

### Pre-Algebra

A fair number cube, numbered 1 though 6 is rolled 200 times. About how many times can it be expected to on the number 4? I tried to do 200 divided by 6 which is 33.3333333333 and then I did 100 divided by 6, so then I tried to use a ratio, but I could find one.

### Pre-algebra

List two different equations for the following situation. Linda buys a new car. She travels 96 miles using 4 gallons of gasoline. Let m = the number of miles Lina travels. Let g = the number of gallons of gasoline she uses

### Math - Pre- Clac

Prove that each of these equations is an identity. A) (1 + sinx + cos x)/(1 + sinx + cosx)=(1 + cosx)/sinx B) (1 + sinx + cosx)/(1 - sinx + cosx)= (1 + sin x)/cosx Please and thankyou!

### Pre Cal Check

focus: (0,p) vertex: if not given, then it is assumed (0,0) Directrix: k+p or k-p, i'm not sure I think these are the general equations for the focus, vertex, and directrix of a parabola, but i'm not sure. could someone please check this? thanks.

### math (geometry)

The pre-image of a reflection lies in quadrant II and the image is in quadrant III. which line could be the line of reflection? a) y=x b) y=-x c) x-axis d) y-axis if you can then please do explain whay. i have no clue!!! thanks for your help!

### pre-calc

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work. Sn: 1^2 + 4^2 + 7^2 + . . . + (3n - 2)^2 = (n(〖6n〗^2-3n-1))/2 S1:1^2+4^2+7^2+…+(3*1-2)^2=1(6*1^2-3n-1)/2 S1: 1^...

### Pre-Calc

A rectangular package to be sent by a delivery service can have a maximum combined length and girth (perimeter of a cross section) of 120 inches. a. Show that the volume of the package is V(x)= 4xsquared(30-x) b. Use your graphing calculator to find the dimensions of the ...

### pre algebra answer check

You are standing 400 feet from the base of the Space Needle in Seattle, Washington. Using a laser range finder, you measure the distance to the top of the Space Needle to be 725 feet. Find the height of the Space Needle to the nearest foot. I got 629 ft.

### Pre-calc help please!!!

1) tan(sin^-1(5/6)-cos^-1(1/7) 2) tan(è + ); cos è = − 1/7,è in Quadrant III, sin = 1/2, in Quadrant II

### Calculus

Find the derivative: y=2e^(x^2+1)^3 i have so far 2(2x)e^(x^2+1)^3 Is this correct? How do I simplify furthere if it is? Hmmmm. d/dx (f(x))= d/du(f(u)) du/dx let u= (x^2+1)^3 y= 2e^u dy/du= 2e^u du/dx= 3*(x^2+1)^2 * 2x so... dy/dx= dy/du *( du/dx)

### per- calculus

Parrallel to the line 4x+3y=3; containing the points (6,0) a)3x-4y=-24 b)4x+3y=24 c)4x+3y=18 d)3x-4y=18 show all work

### Calculus

22. Divide the expression before differentiating. F(x) = (8x^3 - 1)/ (2x - 1) Would the way to solve this problem be... F(x) = [(8x^3) / (2x - 1)] - [(1)/(2x - 1)] = [(4x^2)/(1)] - [(1) / (2x - 1)] = (4x^2) - (2x-1)^-1 F'(x) = (8x + 1)

### Calculus

Trying find the critical numbers for X^3+X^2-8x But i cant remember how to simplfy the derivitive of 3X^2+2X-8 can someone help me?

### 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