# Pre- Calculus

21,138 results, page 94

### Calculus

Find the volume of the solid obtained by rotating the region bounded by y=8x+24, y=0 about the y-axis.

### Calculus Chain rule

y = (6x^2-6)^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 x-axis.

### 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 x-axis.

### 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^2-3

### 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 Intermediate-Value Theorem are satisfied. f(x)=x^1/3 , [a,b]=[-1,1] Please, explain. Thank you.

### mathematics-calculus-derivatives

. 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(coshx-1) plz show step

### Calculus

Find the absolute maximum and minimum values of the function f(x)=3(x-2)^(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 / x-1

### 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(x-a)^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^3-x-2 3. f(x)=x^4-x / x^5-x 4. f(x)= x^3-x / x^5

### Calculus - Special sum formulas

Find the formula of n Σ (j+3)(j-4) 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 vector-valued 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 non-negative number whose sum is 1

### Calculus

Piecewise function x if −2≤x≤0; x^2 if −2<x<0; 8-x. 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^2-16). 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^3-3x^2+1) / (2x^2-1) , 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 x-axis. 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(36-t^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^2-a^2/x-a 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 x-axis

### Calculus

Show that volume of the solid generated by revolving y=1/x between x=1,2x=infinity about x-axis

### Pre-Algebra

Complete the sentence below. Scatter plots are used to look for a pattern of association, or trend, between ____________ A) one set of values. B) two sets of values. C) three sets of values. D) four sets of values. My Answer: B) two sets of values.

### Maths - Optimisation

I've been trying to work out this question for hours and I can't seem to figure it out. Question: "Point 'A' is situated in the bottom left hand corner of a vertical rectangle with the dimensions 6m x 3m. Point 'B' is situated in the opposite top corner of the rectangle. What ...

### another pre cal (logs)

write as a single log log(underscore3)(3x-6)-[log(underscore3)(x^2-4)+log(underscore3)81] thanks

### pre algebra

the ratio of boys to girls in an art class is 3.5. there are 12 boys in the class. how many girls are in the class?

### Pre calc

Write the equation in standard ellipse form and graph. 34 x^2 -24xy +41y^2 +41 y^2 -25= 0. i got x= (4 x prime- 3 y prime)/5 and y=(3x prime +4y prime)/5 but cant get the correct math when I plug that into the original equation. Also I need help finding the equation for x^2 +...

### Advanced Industrial Hygiene

Air was sampled through 37mm PVC membrane filter for seven hours and thirty seven minutes. The initial air flow rate was pre-calibrated twice at 49.7 and 50.1 secnds per liter. What volume of air at STP (25 C and 760mm Hg) was sampled in liters? same question in cubic feet?

### U.S. History

please check this The War of 1812 end with a. a clear victory for the United State b. a clear victory for Britain c. the removal of all British claims to land in North America d. a return to the pre-war boundaries between United States and British territories i picked B

### Pre-Calc (exponential growth)

A COLONY OF BACTERIA IS GROWN UNDER IDEAL CONDITIONS IN A LAB SO THAT THE POPULATION INCREASES EXPONENTIALLY WITH TIME. At the end of the three hours, there are 10,000 bacteria. At the end of the 5 hours, there are 40,000 bacteria. How many bacteria were present initially? I ...

### pre algebra¢¾

julian owns an ice cream parlor. for pricing purposes he need to kno how much ice cream a waffle cone holds. the cone is 5 1/2 inches deep and has a diamete of 3 inches. whatis the volume of the waffle come..round to the nearest tenth is neccesary

### Calculus

Find two numbers such that the sum of the first plus three times the second is 600 and their product is a maximum. x + 3y=600 xy is a max. This is the problem statement. let U be the function equal to xy. U=xy = y(600-3y) Now, maximize U (take derivative, set to zero), and ...

### Calculus

A rectangular piece of tin has an area of 1334 square inches. A square tab of 3 inches is cut from each corner, and the ends and sides are turned up to make an open box. If the volume of the box is 2760 cubic inches, what were the original dimensions of the rectangular piece ...

### pre-algebra

You are researching the price of MP3 players. You found an average price of $58.80. One MP3 player cost $56 and another cost $62. Find the price of the third MP3 player.

### pre cal

The 1st year and 3rd year periods for these accounts are the lengths of time that you must keep the money in the account. (You pay a penalty if you take the money out before the term is up.) Why might an investor choose a Certificate deposit with a shorter term rather than a ...

### Pre-Cal

A wire 360 inches long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?

### Pre-Cal

1) Write the first five temrs of the geometric sequence a1 = 2 r=sqrt3 I know the first term is 2 but the sqrt 3 threw me off so I do not know how to find the next numbers. 2) Find the nth term of the geometric sequence. a2 = 3 a5 = 3/64 n=1 I know the formula is a1^r n-1 but ...

### Pre-Algebra

-My tens and units digits are consecutive integers whose product is 2/3 of my hundreds digit. -My units digit is 1/3 of my hundreds digit. -The sum of my digits id equal to the sum of the first five counting numbers. What year am I?

### Pre-Cal

Angles of elevation to an airplane are measured from the top and the base of a building that is 40 m tall. The angle from the top of the building is 37°, and the angle from the base of the building is 40°. Find the altitude of the airplane. (Round your answer to two decimal ...

### pre algebra

A woman who is 5feet 4 inches cast a shadow that is 6 feet tall. How long of a shadow would be cast by a man who is 6 feet 8 inches tall

### pre-algebra

There are 1,400 students in a school.The number of girls is 3/4 the number of boys.How many students are in the other grade levels if 1/6 of the girls and 1/5 of the boys in first grade?

### Pre-Algebra

Jenny buys an 18'sandwich. Demi gets 1/2 the amount the Jenny gets. Joel gets 3/4 the amount Jenny gets. How much does Jenny get? Please explain.

### Pre algebra

The scale on a map indicates that 1 inch represents 10 miles. If two cities are 2 3/4 inches apart on a map, how many miles apart are the two cities?

### Pre-Algebra

A Jet airplane leaves an airport traveling at a steady rate of 600km/h. another jet leaves the same airport 3/4h later traveling at 800km/h in the same derection. how long will the 2nd jet take to overtake the first?

### math - pre algeabra

max downloaded a number of tunes to his new phone. amy purchased a number of tunes that was three times the sum of two and the number that max added to his phone. what is the expression that is the amount of amy's purchase?

### Pre-cal

What is the probability of getting an even number on a single roll of a number cube if you roll a 3 or greater. My answer: is 1/3 because there are only two numbers that are even and greater than 3 on the number cube. Teacher marked this as wrong. How did I mess this one up?

### Pre-Cal(Please help)

1) Write the first five temrs of the geometric sequence a1 = 2 r=sqrt3 I know the first term is 2 but the sqrt 3 threw me off so I do not know how to find the next numbers. 2) Find the nth term of the geometric sequence. a2 = 3 a5 = 3/64 n=1 I know the formula is a1^r n-1 but ...

### pre calc

Lighthouse B is 8 miles west of lighthouse A. A boat leaves A and sails 5 miles. At this time, it is sighted from B. If the bearing of the boat from B is N63E, how far from B is the boat? The boat is either ___ miles or ____ miles from lighthouse B, to the nearest tenth of a ...

### College Pre-Calc

a.)Determine the location of the turning points for the cubic y=x^3-3x^2+2x+10. What are the maximum and minimum values for this function? b.)Use the fact that a cubic is symmetric about its point of inflection to determine the location of the point of inflection of the cubic ...

### Pre Algebra

how do i do to get the answer for negative 12 + possitive 4+negative(8) You want (-12) + 4 + (-8) This is the same as -12 + 4 -8 If you add the first two number you get -12 + 4 = -8 Then add this to the last number to get -8 + -8 = -16 negative + positive = negative and ...

### Pre-Calc

I need to figure out how to solve the equation x-squared y-squared+xy=1 i have no clue. I would appreciate any help! did you mean (x^2)(y^2) + xy = 1 ??? If so, are you solving for x or y? Suggestion: let xy = a, then you have the equation a^2 + a - 1 = 0 solve it as a ...

### pre-algebra

You want to paint a wall that is 8 3/4 feet high and 11 1/4 feet long. You have a can of paint that will cover 200 square feet with one coat. A. find the area of the wall. b. if you want to apply two coats of paint , do you have enough paint? explain

### pre algebra

A customer wants to make a teepee in his backyard for his children he plans to use lengths of PVC plumbing pipe for the supports on the teepee and he wants the teepee to be 12 feet across and 8 feet tall how long should the pieces of PVC plumbing pipe be

### pre algebra

train A leaves a station at 1:15 PM,traveling 60 mph.Train B leaves the same station, in the same direction as train A,15 minutes later.If train B travels 90mphm when (clock time)will train B catch up to train A and how far down the track does this occur?

### Math (Pre-Calc)

An airplane is flying east at a constant altitude of 28,000 meters. When first seen to the east of an observer, the angle of elevation to the airplane is 71.5 degrees. After 73 seconds, the angle of elevation is 51.6 degrees. Find the speed of the airplane.

### cost of debt

Peyton’s Colt Farm issued a 30-year, 7 percent semiannual bond 7 years ago. The bond currently sells for 94 percent of its face value. The company’s tax rate is 35 percent. What is the pre tax cost of debt?

### pre calc

A jeweler wants to make a 1 ounce ring composed of gold and silver, using $200 worth of metal. If gold costs $6000 per ounce and silver is $50 per ounce, how much of eat metal should she use?

### Math Pre-Algebra

Maria has baked a cake for Cathy's birthday. The dimensions of the cake are 13/1/2 inches by 6/3/4 inches. The cake is going to be cut into squares with each piece being approximately 5.55% of the cake, which should give a total of _______ pieces of cake with each piece having...

### Pre-Ap biology

After an organism is gully grown, cell division continues to function in renewal and repair, replacing cells that die from ________________ During the growth phase (for a cell) known as _____________...is this one interphase? The mitotic phase itself consists of 2 stages ...