# Pre- Calculus

21,824 results, page 92

1. ### calculus

What is the limit, as x approaches 1, of (sqrt(x) - 1)/(x - 1)? I need to show work, but I know the answer is 3/2, because I confirmed with a TI-89.
2. ### Calculus

The integral of [(x+3)/(x^2+9)] dx I think you split it into two fractions but im not exactly sure what to do.
3. ### Calculus

Write the Riemann sum to find the area under the graph of the function f(x) = x4 from x = 5 to x = 7.
4. ### calculus

Given the relationship 2x^2 + y^3 =10, with y > 0 and dy, dt = 3 units/min., find the value of dx, dt at the instant x = 1 unit.
5. ### Calculus

The graph of f '(x) is continuous and decreasing with an x-intercept at x = -3. Which of the following statements must be true?
6. ### Calculus

The region bounded by y= e^x, y=0, x= -1 and x=1 is rotated about the x-axis, find the volume generated.
7. ### Calculus

The region bounded by y= e^x, y=0, x= -1 and x=1 is rotated about the x-axis, find the volume generated.
8. ### calculus

Find the complex zeros of the polynomial function. F(x)=5x^4-16x^3-22x^2+200x-39
9. ### calculus

what is the interval notation for solution set of the inequality x^2+16x is less than or equal to 0
10. ### calculus

find the equation of the curve for which y''=(12/x^3) if it passes through (1,0) and is tangent to the line 6x+y=6 at that point.
11. ### Calculus 1

Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 1+2x− x^2, (f(4+h)-f(4))/h
12. ### calculus

Find the domain for the particular solution to the differential equation dx/dy=1/2x, with initial condition y(1) = 1.
13. ### calculus ab

Use a graphing utility to graph the function and visually estimate the linits h(x)= -x^2 + 4x
14. ### CALCULUS

How do I determine whether the function is even, odd, or neither. How do I describe the symmetry? ex 1) f(t)= t&2 +2t -3
15. ### Calculus

Determine the linear approximation of 21/2. Express your answer as a reduced fraction in the form a/b.
16. ### Calculus

Evaluate the definite integral using the properties of even and odd functions. S 2 (1/2 t^4+3)dt -2
17. ### Calculus

If f is an exponential function of the form f(x)=C times a^x with growth factor 5 and f(5)=14. What is f(6)? I know f(6) is 70 but how do you set up the equation to get 70?
18. ### Calculus

Compute the surface area of revolution about the x-axis over the interval. y = x^2, [0, 4] Is it (pi/12)(65^2 - 65)^(3/2)?
19. ### Calculus help plz

Integrate:cosmxcosnx.dx if m=n i can not solve it i have tried my best but to no avail
20. ### Calculus AB

Use the table below to evaluate d/dx [f[g(2x)]] at x = 1 x 1 2 3 4 f(x) 6 1 8 2 f '(x) 6 1 8 2 g(x) 1 4 4 3 g '(x) 9 5 5 -4 I don't know how to continue with this question. i know [g(2x)]=8...pretty sure
21. ### Calculus

Examine the continuity of f : R2 → R at (0; 0), where for all (x; y) ∈ R2, 1.)f(x; y) := {xy cos(1/x) if x ̸= 0; 0 if x = 0:} 2.)f(x; y) := {1 if x > 0 & 0 < y < x2; 0 otherwise:}
22. ### Calculus

Let f(t)=(1)/(t) Find a value of t such that the average rate of change of f(t) from 1 to t equals 14. t= ____
23. ### Calculus

Find the area of the region bounded by the graphs of y = x, y = 6 - 2x, and y = 0. (4 points) 3 6 9 None of these Please help I don't know how to do this
24. ### Calculus

Find the instantaneous rate of change when x = 3 given the function g(x) = 5x^2 + 6x. My answer: g'(x) = 10x + 6 10(3)+6 = 36
25. ### mathematics-calculus-derivatives

. If y=cosx, find dy/d5x please show workings #thanks
26. ### Calculus

Find the largest volume V of the circular cone that can be inscribed in a sphere of radius = 10 cm
27. ### Calculus

Find the volume of the solid bounded below by the parabloid z = x^2 + y^2 and above by the plane 2x + z = 3
28. ### Calculus

Find the volume of the solid generated by rotating the region 0<y<5-x^2 about the x-axis
29. ### Maths- Calculus

The region R bounded by y=e^-x and y=0 and lying to the right x=0 is rotated about the y-axis
30. ### calculus

What are the dimensions of a rectangular field of area A that requires the least amount of fencing.
31. ### Calculus

find the particular solution of the differential equation that satisfies the conditions: f''(x)=sin(x)+e^(2x) f(0)=1/4, f'(0)=1/2

33. ### calculus

A region is bounded by y=2x and y=4sqrt(x). Find the volume when rotated along 1)y=-1 2)the y axis
34. ### Calculus

Use L'Hoplital's rule to find the limit. Lim x->0 (3-3cos(x))/(sin(4x))
35. ### Calculus

I can not seem to get this right Find an equation of a sphere if one of its diameters has endpoints (5, 5, 5) and (7, 7, 7).
36. ### Calculus integrals

Find the value of the right-endpoint Riemann sum in terms of n f(x)=x^2 [0,2]
37. ### Calculus integrals

Suppose f(x)=∫ (from 0 to x) (t^2-36)/2+cos^2(t) dt. For what value(s) of x does f(x) have a local maximum?
38. ### Calculus

Find the set of points that the following function is continuous at them . f(x)= { (2x+1)/(x+3) if x<0 (√(x+4)-2)/2x^2-3xx if x>0 -1/3 if x=0
39. ### calculus help

y=cosxcosy-sinxsiny/sinxcosy+cosxsiny find dy/dx plz show me working
40. ### Calculus II

If f(x) - x cos (x), how many intervals would be needed to approximate with the Trapezoidal Rule with an error of E<.01?
41. ### calculus

A point is moving along the graph of y = x2 so that dx/dt is 2 centimeters per minute. Find dy/dt when (a)x = 0 and (b)x = 3.
42. ### calculus

Find the area of the region cut from the first quadrant by the curve r=2(2-sin2ɵ)½
43. ### Calculus

Given: 5cos6Θ What is the shape of the function? A. Limacon B. Rose C. Lemniscate D. Circle
44. ### calculus

if f(x) = (x-2)^(1/3) use Tylor's polynomial of degree two about c=3 to estimate the value of (1.36)^(1/3) thanks
45. ### calculus

What is the largest possible product of two negative number whose sum is 1?
46. ### calculus

Find the domain of the variable x for which the following equation determine y as a real function of x. y - xy = 5
47. ### maths calculus also

what is the area enclosed by the curved y=4x-x^2,and y=x^2-2x along the x-axis thanks so much help
48. ### basic calculus

find a appropriate formula for the area of a narrow circular ring
49. ### Calculus

Write an expression for y = f(x) by solving the differential equation dy/dx = x√y with the initial condition f(3) = 25. I got y = (x^2/4 + 11/4)^2.
50. ### Calculus

What are the dimensions of a rectangular field of area A that requires the least amount of fencing?
51. ### Math (Calculus) Integrals

Evaluate the integral using the following values. 8 ∫ x^3 dx = 1020 2 8 ∫ x dx = 30 2 8 ∫ dx = 6 2 2 ∫ x^3 dx = ? 2
52. ### calculus

x = sin(θ/2), y= cos(θ/2), −π ≤ θ ≤ π. Eliminate the parameter to find a Cartesian equation of the curve.
53. ### Calculus

Given that the limit as h approaches 0 of (f(6 + h) - f(6))/h = -2, which of these statements must be true? 1. f'(6) exists 2. f(x) is continuous at x=6 3. f(6) < 0
54. ### Calculus

Find the area of the region between the curves y=8−x^2 y=x^2 x=−3 and x=3 I made a slight correction
55. ### Calculus II

Express the integrated as a sum of partial fractions and evaluate the integral 3x2+x+9/(x2+5)(x-6)
56. ### Calculus

(1,1)(2,1)(2,3) mirror around y-axis & revolve solve with Shell and washer please and thank you
57. ### Calculus

Find the limit x->pi/2^+ tan(x) I know the answer is -∞, but I don't understand why. When I simplify to sin(x)/cos(x), I get 1/0^+.
58. ### Calculus

If the instantaneous rate of change of f(x) at (2,-4) is 5, write the equation of the line tangent to the graph of f(x) at x=2.
59. ### Calculus

Rectilinear Motion Discuss the Velocity, Acceleration, and Speed: 1. s(t)=2t^2 +8t-7 2. s(t)=3t^4 -16t^3 +24t^2
60. ### Math Calculus

Sketch the graph of a function having the following features: f'(x)>0 on (-5,-2) and on (3,oo) f'(x)<0 on (-oo,-5) and on (-2,3) f''(x)>0 on (-oo,-3) and on (1,oo) f''(x)<0 on (-3,1) Please help!
61. ### Calculus

For the series from 1 to inf of (2n^2 - 1)/(3n^5 + 2n + 1), would it be possible to compare (2n^2 - 1)/(3n^5 + 2n + 1) to 2/3^3 for the limit comparison test?
62. ### calculus

Use the instantaneous rate of change of f(x) = e^(5x) to find the equation of the tangent line to f(x) at x = 0.
63. ### Pre cal

find all zeros of x^4-5x^3+10^2-20x+24 (leave all irrational answers in radical form) i simply don't understand this question, i can find the rational value but never can i calculate how to find the irrational values nor the imaginary number values. what mistake am I making ?
64. ### AP Physics 1

This isnt exactly a hw question... but for anyone who knows: Im considering to take AP Physics next year as a challenge. I'm going to be taking pre-calc next year ( i already took my algebras) and im not too great in math but im good at memorizing and retaining info... will AP...
65. ### pre algebra

f(x)=9x+7 The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. help why is the answer negative infinity, infinity? thank you so much...please explain in plain terms...
66. ### pre algebra Is it A,B,C or D?

Rodney flips a fair coin and chooses a letter tile A, E, I, O AND U. He performs this experiment 50 times to determine the experimental probability that heads is tossed and the letter A is chosen. Which of the following is most likely to be the experimental probability that ...
67. ### Science Earth

Label the year and name of each geologic area on your geologic time scale. Using the 1 cm = 10 million years scale, figure out and measure each distance below from the PRESENT line. Pre-Cambrian Era = 4.6 Billion years ago = _______________________ cm from PRESENT What would ...
68. ### Pre calc

Thanks in advance for any help. I need help with this whole problem. The distance s(t) between an object and its starting point is given by the antiderivative of the velocity function v(t). Find the distance between the object and its starting point after 15 seconds if v(t)=0....
69. ### Pre-Calc

Fill in the blank; •In the process of polynomial division (Divisor)(Quotient)+_______=_______ •When a polynomial function f is divided by x-c, the remainder is _______. •If a function f, whose domain is all real numbers, is even and if 4 is a zero of f, then _______ is ...
70. ### pre algebra

A college bookstore ordered 6 boxes of red pens. The store sold 32 red pens last week and 35 red pens this week. Five pens were left on the shelf. How many pens were in the box? How would you solve it and check answer into the original problem?
71. ### Pre-calc

A bicyclist is riding at 27 km/hour. She is pedaling at 95 rpm. Her rear wheel has radius 0.34 m and her rear sprocket has radius 0.03 m. A. What is the radius of her front sprocket? B. Through what angle (in degrees) does her rear wheel rotate in 0.004 second?
72. ### more pre cal logs

sorry I am so lost I missed the class that talked about logs since my sister was in the hospital giving birth to a still born baby.... now I am all lost... Expand the log Ln 3sqrootx^2y/x+3 (the 3 is part of the sqroot not infront like the 3rd power) I hope that makes since
73. ### Pre.Calc

You want to make an investment in a continuously compounding account over a period of ten years. What interest rate is required for your investment to double in that time period? Round the logarithm value to the nearest hundredth and the answer to the nearest tenth. -I don't ...
74. ### Pre- Algebra

Theo made the table below to show the number of middle school students who attended the last football game. If the data were displayed in a circle graph, how many degrees would be in the sector representing the eighth graders? Grades:6,7,8 Number of Students in attendance in ...
75. ### Pre Algebra

Paula sold 35 packages of wrapping paper for this year’s Booster Club fundraiser. This is one less than twice the number of packages that she sold last year. How many packages did Paula sell last year? Please help...
76. ### pre cal

(1/3)LN27 + 2LNx = LN(2-x) i think i just need help getting started. I assume that your LN notation is log to base e. I will call it ln. (1/3)ln 27 = ln (27)^(1/3) = ln 3, (since 27^(1/3) is the cube root of 27). Therefore ln 3 + 2 ln x = ln (3 x^2) = ln (2-x) 3x^2 = 2-x solve...
77. ### Pre-Calc/Trig...

Helpp needed, this is sort of confusing me. Describe the nature of the roots for this equation. 2x^2-x+1=0 A. Two real, rational roots B. Two real, irrational roots C. One real, double root D. Two complex roots
78. ### Math (Pre-Cal) (Exponential Functions)

A car was valued at \$38,000 in the year 2003. The value depreciated to \$11,000 by the year 2009. Assume that the car value continues to drop by the same percentage. -What will the value be in the year 2013?
79. ### pre-algebra

t takes 1 cup of liquid fertilizer to make 7 1/2 gallons of spray. how much liquid fertilizer is needed to make 80 gallons of spray? Plzzzzzzzz help me its really hard for me
80. ### Pre-Cal

A plane has a velocity of 400 mph to the SW. A wind from the west is blowing at 50 mph. Find the resultant speed and direction. How do i find resultant speed without a direction.
81. ### Pre-Algebra

I have no clue how to solve these, could someone help me? For questions 6-8, multiple the following polynomials. 7. 4a(a^2+7a+4) A. 4a+28a^2+16a B. 4a^3+28a^2+16a C. 4a^3+44a D. 44a^4 8. (2y-3)(3y-2) A. 6y^2-13y+6 B. 6y^2-13y-6 C. 6y^2+13y-6 D. 6y^2+13y+6
82. ### Pre algebra

The Everton college store paid 1532 dollars for an order of42 calculators.The store paid 18 dollars for each scientific calculator,and tthe other all graphing calculators, cost the store 54 dollars each, How many of each calsulator was ordered?
83. ### pre-calc

The probability, P, in percent, that a person will respond to a certain ad can be modelled by the equation P(n)=1-2^(-0.05n), where n is the number of days since the ad began on tv. After how many days is the probability greater than 20%? my work: 0.20=1-2^(-0.05n) then i ...
84. ### pre calc

in many parts of the coutry the average temp of a particular area may be modeled by a sin usoidal function. According to NCDC the average temp of k city is 92.2 in july and 32.2 in january assume that the period is 12 what is the best model for when july is month 0 and when ...
85. ### pre algebra

Ellen buys 6 more paperbacks than hard covers. Paperbacks cost \$8 each and hard covers cost \$15 each. If Ellen spends a total of \$117 on the books, how many of each type does she buy? Give a complete algebraic solution, using the distributive property.
86. ### Pre-Algebra

Solving it would give u x = -4...but I am not sure how you would graph that. You see, a linear inequality is an inequality that has one of the following four forms: Ax + By < C Ax + By > C Ax + By < C Ax + By > C PLZ!Somebody tell me the answer! PLZZZ! umm,, It ...
87. ### pre-cal: graphs of functions- fill in the blank

To find the domain of a function from its graph... To find the range of a function from its graph... To approximate the relative minimum or maximum of a function using a graphing utility,... Let a(,f(a)) and (b,f(b)) be two points on the graph of a nonlinear function f. The ...
88. ### pre calc

it takes my father 3 hours to plow our cornfield with his new tractor using the old tractor it takes me 5 hours. if we both plow for 1 hour before i go to school, how long will it take dad to finish the plowing. I got 2.5 hours but i think that is totally wrong?????

Juanita has 35 pre-addressed post cards she plans to hand out to her friends so they will write to her while she is away visiting her grandmother. She has 7 friends she'd like to give them to. Write a number sentence to show how Juanita can share her cards equally among her ...
90. ### pre calc

The population of a Midwestern city decays exponentially. If the population decreased from 900,000 to 800,000 from 2003 to 2005, what will be the population in 2008? Please help I got 670,422 and the computer marked it wrong i then tried rounding it to 671000 but it was still ...
91. ### pre cal

can someone please show me how to verify this identity? (sec x/csc x minus cot x) minus (sec x/csc x + cot x)= 2 csc x
92. ### Pre-Algebra

HOW DO I DO THIS 5x+(-20)=-60 2-2x=8 I can only assume this is two different questions. On the first, add 20 to both sides. Then, divide both sides by 5 On the second, subtract two from each side, then, divide both sides by -2
93. ### PRE-ALGEBRA

Paint costs \$21 per gallon is to be mixed with 6 gallons of paint thinner costing \$5 per gallon to make a paint that can be \$15 per gallon. Compute how much paint mixture will be produced.
94. ### Pre-Algebra

If 4 liters of motor oil cost \$3.88, what is the price for 1 liter? I'm supposed yo set up proportions. This is how I set it up: \$3.88/4 liters • 1 liter/p p= the price for 1 liter Please tell me if I set it up right and how to solve.
95. ### Pre Cal

a radio actice substance decays so that half of the substance decays every 2 minutes. if 100 g of the substance are present initially, how many grams will be present after 4 minutes and 8 minutes respectively?
96. ### Math- Pre calc

A 60 foot antenna stands on top of a building. From a point on the ground, the angle of elevation to the top of the antenna measures 48 degrees and 39 degrees to the top of the building. How tall is the building?
97. ### pre algebra

A ladder is leaning against a house. The distance between the base of the ladder to the house is 3 feet. The length of the ladder is 10 feet. In feet, how far above the ground does the ladder touch the house? 4.2 9.5 10.4 14.1
98. ### pre calc

the volume of a gas varies inversely as its pressure and directly as its temperature. A certian gas occupies a volume of 2.3L at a temp of 380 K and a pressure of 20 N/cm^2 find the volume when the temp is 342 K and the pressure is 10 N/cm^2
99. ### pre calc

Carson wants to invest \$100,000 in two ways. He wants to purchase a certificate of deposit that pays 11% per year and invest the rest in coorporate bonds that pay 15% per year. He is looking for a total return of 12%. How much money should Carson place into each investment ...
100. ### Math/Pre Algebra HELP ME!

1. What are the coefficients in the polynomial 5x^2 + 2x - 4? A. 5,2 B. -5,2 C. 5,2,-4 ** D. 5,-2,-4 For questions 2 and 3 add or subtract. 2. (m^2 - m - 4) + (m - 5) A. m^2 - 2m + 9 B. m^2 + 2m - 9 C. m^2 - 2m - 9 ** D. m^2 - 9 3. (5x^2 + x - 3) - (-2x^3 + 4) A. -2x^3 + 5x^2...