12/05/15

solve the equation

(25/9)x+1 = (3/5)x-1         /=devided by

12/04/15

For what values of a and b is the line 2x + y = b tangent to the parabola y = ax^2 when x = 2?

For what values of a and b is the line 2x + y = b tangent to the parabola y = ax2 when x = 2?     ANSWER: a = -1/2, b = 2 #73, p183

12/04/15

Find the parabola with equation y = ax^2 + bx whose tangent line at (1, 1) has equation y = 3x - 2

Find the parabola with equation y = ax2 + bx whose tangent line at (1, 1) has equation y = 3x - 2     ANSWER: y = 2x2 - x p183, #71  

12/04/15

Differentiate x/(x + c/x)

Differentiate    x/(x + c/x)     ANSWER:  2cx / (x2 + c)2 p189, #25

Algebra word problem

Scores on the act rose from 20.8 in 2002  to 21.1 in 2009 what % increase was this to the nearest tenth of a percent?

12/03/15

Indefinite integral

∫(5x+1)/(x-4)(x+1)2 dx

how do you solve 3/x+x/10=11/2x

it is not addition but multiplyign a common factor from the numerator. the answer is 10x

12/03/15

URGENT! CALCULUS HELP PLEASE! (:

Consider the following figure. http://www.webassign.net/rogacalcet1/5-1-012.gifCalculate the area of the shaded rectangles. (Round your answer to three decimal places.)

12/02/15

Prove the statement using the epsilon-delta definition of limit: lim (x?0) x4 = 0

Prove the statement using the epsilon-delta definition of limit: lim (x→0) x4 = 0     I have no idea how to do this and the book has no answers to practice problems.   #19, practice test

12/02/15

Find a formula for Rn for the function f(x) = (3x)^3 - 3x on [0, 2] in terms of N. Rn=?

I keep getting the wrong answer. I know the area is 102, but I can't find the formula. 

Find all points where the tangent line is horizontal or vertical

Find all the points where the tangent line to (y^3)-xy=-6 either horizontal or vertical

Please help me with these identity proofs!!

1) (cscx + cotx) / (tanx + sinx) = cotxcscx   2) (1/secx) -secx = -sinx   3) (1-tan^2x / 1-cot^2x) = -tan^2x

11/28/15

Evaluate the limit

lim (h --> 0)   (√(1 + h) -1)/h     ANSWER: 1/2 #14, practice problems

Really Hard Circle Problem

Chords AB and CD cross at right angles at point P. If AP=3, BP=8, and CP=10, compute the radius of the circle.

11/27/15

Evaluate the limit

lim (h --> 0) ((3 + h)-1 - 3-1)/h     ANSWER: - 1/9 Chap 2, pp13

11/27/15

Evaluate the limit, if it exists

lim (x --> 16)  (4 - √x)/(16x - x2)     p107, #27 ANSWER: - 1/128

11/27/15

Evaluate the limit, if it exists

lim (t-->0)  (√(1 + t) - √(1 - t))/t   ANSWER: 1 #25, p107

11/27/15

Evaluate the limit, if it exist

lim (x --> -4)  (1/4 + 1/x)/(4 + x)     (x/4x + 4/4x)/(4 + x)   ((x + 4)/4x) / (4 + x)   (x + 4)/ (4x(4 + x))   (x + 4)/(8x + 4x2)   But when I plug in -4, I get zero on the top, I... more

please help area

Find the area of the region between two curves below.   y=2x^2   y=x^2+4

area question 2

Find the area of the region between two curves below. (Hint: the answer is not 0)   y=x^3 y=x

11/27/15

Please help me with the following question

A concert hall with 1000 seats is completely filled with x boys, y girls and adults. Admission fee for an adult is $10 while a child pays 1/2 the price. Find in terms of x and y, the total amount... more

11/27/15

Please help me with the following question

Two cylindrical jars A and B have diameters 12cm and 18cm respectively. Initially, cylinder A contains water to a depth of 21cm and cylinder B is empty. If all the water from cylinder A is poured... more

Write an equation for the line

Write an equation for the line perpendicular to -5x+y=5, through (5,5) in slope-intercept form. 

11/23/15

Evaluate the function

Find f(-3) when f(x)=2x²+3x+5

11/22/15

Evaluate the integral

∫19 (x -1)/(x1/2) dx       ANSWER: 40/3 #29, p395

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