07/25/17
A particle is moving along the curve y=sqrt(x)
A particle is moving along the curve y=sqrt(x). As the particle passes through the point (4,2), it's x-coordinate increases at a rate of 3cm/s. How fast is the distance from the particle to the...
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07/24/17
A function f is defined on the interval [0, π]. Its derivative is given by f'(x) = cos x−sin 2x (...)
a) At witch interval is the function f is increasing?
b) Estimate to two decimal places the location of a point x > 0 where f has a point of inflection.
07/23/17
Line L has a slope of 13/7. The line through which of the following pair of points is perpendicular to L
(-5,-7) (2,6)
(6,-5) (-7,2)
(-8,-7) (2,6)
(12,-3) (-7,4)
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07/22/17
If Mrs smiths has for pets all dogs except one and all her pets are cats except one how many dogs and cats does mrs smith have
It's a riddle
07/20/17
A box with an open top will be constructed from a rectangular piece of cardboard. The piece of cardboard is 10 inches wide and 14 inches long. The box will be
constructed by cutting out equal square of side x at each corner and then folding up the sides. What is the appropriate domain for the function V(x) that gives the volume of the box as a function...
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Trig Question
Prove sec2x-1=sec2xsin2x, justify significant steps. (state identities used)
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07/19/17
Write and solve an equation to find the answer to the problem.
Three towns, S, W, and D are on a straight road in that order. The distance from W to D is 12 more miles than twice the distance from S to W. The distance from S to D is 4 more miles than 4 times...
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07/18/17
QUESTION ABOUT CARS MOVING
Two cars are traveling down the highway with the same speed. If the first car increases its speed by 1km/hr, and the other car decreases its speed by 10km/hr, then the first car will cover the same...
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07/18/17
How do I write an equation in standard form when given a point and the y-intercept
point (5,-19) y-intercept is 1
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Calculus Question
If 2y2-xy-x2 = 0, find dy/dx.
And, determine the slope of the tangent at x =1.
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07/15/17
Estimate the slope of y = x^2+3x at x = 3. Justify your answer.
This is a calculus question that I need help on.
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Trigonometry related doubt
the number of all possible ordered pairs (x,y),x,y belongs to R satisfying the system of equations x+y=2pi/3,cosx +cosy=3/2
07/13/17
Let f(x) = x 3 + x + 2, and let g(x) be the inverse function for f(x).
Determine g(2)
Determine g'(2)
Determine the equation of the line tangent to the graph of y = g(x) at x = 2.
07/13/17
What is the locus of all points in the plane that are 5 inches from point Q?
Please help me with this math 3 problem
07/13/17
Evaluate the following limits
Evaluate the following limits.
a)
lim sqrt(7+7x^2)/(9+5x)=?
x->infinity
The corresponding horizontal asymptote has equation
y=?
b)
lim ...
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07/12/17
Verify the identity tan 0 ( tan 0 + cot 0 ) = sec^2 0
Verify the identity tan 0 ( tan 0 + cot 0 ) = sec^2 0
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07/12/17
If 0 in not in Quadrant I and sec 0 = sqrt 2, find 0 in degrees
If 0 in not in Quadrant I and sec 0 = sqrt 2, find 0 in degrees
07/11/17
Derivative based question
If f(x) is a function such that f(x) + f''(x)=0 and g(x)= (f(x))²+(f'(x))² and g(3)= 8, then g(8)= ?
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07/10/17
3 Given Points
Given three points D(2, 5) E(-2, -3) and F(4, -6) determine whether or not the line through D and E is perpendicular to the line through E and F?
07/06/17
Find the value of k for which the first polynomial is a factor of the second polynomial. x-1; -x^3 +4x^2+kx-2
basic concepts and skills
Grade 9 - Discriminant Question
Show that 2kx2 - 2(k+3)x + k + 10/k is always negative for k < 0
07/05/17
The solutions-1 and 1 of the equation x^2=1 are called the square roots of 1. The solutions of the equation x^3=1 are called the cube roots of 1.
Find the cube roots of 1. How many are there?
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