10/21/16

Calculus 2 Area of a Region
Can someone walk me through this? I'm not understanding. Consider the region enclosed by the graphs of 2y=5√x , y=8 , 2y+1x=6The area A of this region could be computed in two ways: 1) By... more
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10/19/16

Find the point on the line 6x+y=9 that is closest to the point (3,8)
How do I solve it?
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10/17/16

A lamp is located 3 units to the right of the y-axis and a shadow is created by the elliptical region x^(2)+4y^(2)<=5.
If the point (-5,0) is on the edge of the shadow, how far above the x-axis is the lamp located   i got the y' (slope) from differentiating the equation and get y'= -x/4y, but i cannot substitute... more
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10/15/16

I want to really know this. Consider the solid obtained by rotating the region bounded by the given curves about the line x = 4. x= 4y^2 , x = 4
What is the radius, cross-sectional area, intersection of points, and volume? I gladly appreciate whoever can help. Thanks. 
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10/14/16

10.2: Calculus with Parametric Equations
Find the surface area generated by rotating the given curve about the y-axis.x = 9t^2, y = 6t^3, 0 ≤ t ≤ 5    
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10/10/16

Find the side lengths x and y of the largest area where L is a given length for the diagonal. At the critical point, y=? x=? A=?
It says to eliminate one variable so I eliminated x.   A=xy L2=x2+y2 x=(L2-y2)1/2   A=y*(L2-y2)1/2     =(L2y2-y4)1/2 Derivative =1/2(L2y2-y4)-1/2 *L22y-4y3   I don't know where to go... more
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10/10/16

Use Cramer's rule to find the price per gallon of premium and regular gas
You fill your car with 15 gallons of premium gasoline and fill up a 5 gallon gas can with regular gasoline for various appliances around the house. You pay the cashier $42. The price of regular... more
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10/04/16

Implicit Differentiation - Calculus
 Need to find slope of tangent line to curve 5(x^2 + y^2)^2 = 169(x^2-y^2) at point (3,-2) . It is implicit differentiation but I keep getting the wrong value at 3,-2. I'm not sure if I am... more
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10/03/16

Please help me find y
Find all y such that the distance between the points (2,−9) and (1,y) is 15.   I have no idea how to do this problem...  
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10/03/16

Find the derivative of the function
So the function given was (x2+1)/x and I was really unsure how to approach it. I tried to split the fraction but that didn't work, so then I tried to take the derivative of the numerator and I got... more
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10/03/16

Find the center and radius
X^2+4x+y^2+6y=8 With steps  
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09/25/16

Calculus Help
Let ƒ(x)=e^−(x+1)^2. Draw a graph of the function on the interval [-3,3] and estimate from the graph whether ƒ′(−1) is positive or negative or zero, and whether ƒ′′(−1) is positive, negative or zero. more
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09/19/16

How to find the limit process to find the area of the region
How to find the limit process to find the area of the region between f(x)=1/10(x^2+10x) and the x axis on the interval [1,10]
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09/14/16

if the number of sides of a polygon were cut in half, the sum of the angles of the polygon would be decreased by 1080.How many sides does the polygon have?
if the number of sides of a polygon were cut in half, the sum of the angles of the polygon would be decreased by 1080.How many sides does the polygon have?
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08/31/16

Find b such that the line y = b divides the region bounded by the graphs of the two equations into two regions of equal area. (Round your answer to three decima
y = 25 − x^2, y = 0   So, I believe you have to integrate with respect to y, instead of x like normal. Solving for x=+/-sqrt(-y+25), then integrate, but I am getting really tripped up and I just... more
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08/29/16

Find intervals containing solutions to the following equations.
Find intervals containing solutions to the following equations.(a) f(x) = x − 3^−x = 0b)f(x) = x^3 + 4.001x^2 + 4.002^x + 1.101 = 0.I want help how can I find intervals and solutions for these... more
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08/24/16

If the line y=x+3 meets the circle x^2 + y^2 = a^2 at A and B, then equation of the circle on AB as diametre is...
If the line y=x+3 meets the circle x^2 + y^2 = a^2 at A and B, then equation of the circle on AB as diameter is...
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07/24/16

If sin2 a - cos2 a = tan b, then prove that cos2 b - sin2 b = cot2 a.
Given   Sin2a −  cos2a= tan2b,  To prove cos2 b − sin2 b = cot2 a.
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06/30/16

Points B(1,0), C(8, 0), and D(3,4) are the vertices of a traingle. What is the area of the triangle?
a:5b:10 1/2c:14d:16e:28
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05/28/16

trapezoid ABCD has parallel side AB and CD, of lengths 8 and 16, respectively. Diagonals AC and BD intersect at E, and the lengths of AC is 15. Find the lengths
Through E draw the line parallel to sides AB and CD, and let P and Q be its intersections with DA and BC, respectively. Find the length of PQ.
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05/14/16

Find the domain of y=x+3/4vx^2-9
The answer of this question is (-∞,-5)U(-5,-3]U[3,5)U(5,∞). I don't know how the 5 and -5 come out.
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05/10/16

Problem in Analytic Geometry! :D
Help me! I've been stuck on this problem for almost a night and our exams will come up tomorrow :DFind the equation of the circle that passes through the points of intersection of the circles... more
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05/05/16

What radius of a circle is required to inscribe an equilateral with an area of 270.633 cm squared an altitude of 21.65 cm
Round to the nearest tenth 
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05/01/16

Find the volume of the solid obtained by rotating the shaded region about the y-axis
x=4 y=3-((x^2)/16)
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04/27/16

Find tan(2 Theta +pi) using the picture:
You have a right triangle and the hypotenuse is 10 and adjacent side is 6 and the opposite side is 8, this is what the triangle looks like except NO... more
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