12/11/15

Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 3 times the third

Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 3 times the third.

Find the inverse of y=log9x

 The nine is the base, and x is the argument/power.

12/08/15

Use implicit differentiation to find an equation of the tangent line to the curve at the given point

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.   x2 + xy  + y2 = 3, (1, 1)     ANSWER: y = -x + 2 #27, p215

12/08/15

Find the derivative. Simplify where possible. y = cosh ^-1 (x^1/2)

Find the derivative. Simplify where possible:   y = cosh-1 (√x)     ANSWER: 1 / [2 √(x (x - 1)) ] #41, p263

12/08/15

A camera is 2000 ft. from the lauch pad of a rocket. The height of the rocket is given by h(t) = 50t^2 . What is the rate of change of the angle of elevation o

(a) A camera is 2000 ft. from the launch pad of a rocket. The height of the rocket is given by h(t) = 50t2. What is the rate of change of the angle of elevation of the camera 10 seconds after... more

12/08/15

Distance of to people running away from each other, derivates

Pam is seated 300m away from the center of a circular track of radius 100m and is watching John run laps at a speed of 5m/s. How fast is the distance between Pam and John changing when John is... more

2. Lemniscate Curve, Find the exact coordinates of the point(s) where the tangent line to this curve is horizontal

Curve:   (x2+y2)2=4(x2-y2)   Find points where tangent line is horizontal?

Rational Zeros Question: Please help!

List all possible rational zeros for the given function: f(x) = 2x^3 + x^2 - 3x +1 Use synthetic division to test the possible rational zeros and find an actual zero Then use your quotient from the... more

12/06/15

Use logarithmic differentiation to find the derivative of the function : y = [(x - 1) / (x^4 + 1]^1/2

Use logarithmic differentiation to find the derivative of the function :   y = √[(x - 1) / (x4 + 1)]     ANSWER: √[(x - 1) / (x4 + 1)]  *  [(1 / (2x - 2)  -  2x3 / (x4 + 1)] #41, p223

Evalute the definite integral below.

Evalute the definite integral below.     ∫0^pi/2 x cos 2x dx

pre calculus

A suspension bridge has two main towers of equal height.  A visitor on a tour ship approaching the bridge estimates that the angle of elevation to one of the towers is 19 degrees.  After sailing... more

12/06/15

Use logarithmic differentiation: (x^2 + 2)^2 * (x^4 + 4^4

Use logarithmic differentiation: (x2 + 2)2 * (x4 + 4)4     ANSWER: (x2 + 2)2 * (x 4+ 4)4 * [4x / (x2 + 2)  +  16x3 / (x4 + 4)] #39, p223

12/06/15

For f(x) = 3 + x, partition the interval [0,2] into n equally wide subintervals of length ?x = 2/n.

For f(x) = 3 + x, partition the interval [0,2] into n equally wide subintervals of length ?x = 2/n. Write the lower sum for this function and partition, and calculate the limit of the lower sum as... more

12/05/15

The lengths of the sides of a triangular parcel of land are approximately 400 feet, 500 feet, and 750 feet. If land is valued at $2000 per acre (1 acre is 43,56

The lengths of the sides of a triangular parcel of land are approximately 400 feet, 500 feet, and 750 feet. If land is valued at $2000 per acre (1 acre is 43,560 ft2), what is the value of the... more

12/05/15

Differentiate the function

Differentiate the function:   (x2 + 2√( x3)) / (4√x)     ANSWER: 3/8 x1/2  + 1/2 practice exam q #11

12/05/15

Find d/dt g(t) where g(t) = 16 + x^2 - x * t - t^3

Find d/dt g(t) where g(t) = 16 + x2 - x * t - t3   This is the question exactly as written. I'm not sure if I'm supposed to insert parenthesis.     ANSWER: -x - 3t2 practice exam q #2

12/05/15

Find the derivative of the function. Simplify where possible. h(t) = cot^-1(t) + cot^-1 (1/t)

Find the derivative of the function. Simplify where possible.   h(t) = cot-1(t) + cot-1 (1/t)     ANSWER: h'(t) = 0 #55, p 216

12/05/15

I've been working on this but am missing something. it's asking me to find the domain

F (x)=log (x^2+9x+18)

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

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