02/23/24

Integral Calculus - surface area
The given curve is rotated about the y-axis. Find the area of the resulting surface. y=1/3x3/2,    5 ≤ x ≤ 21 It is rotated around the y axis so Ive been having trouble finding the area in terms... more
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02/17/24

Find the surface area.
Consider the curve given parametrically byx(t)=t, y(t)=t2 and z(t)=cos .5πt.What is the area of the surface between the curve and the xy-plane>Note: below is the link to a graph of the... more
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02/14/24

Oil well burning in a 100 miles of the well( i think in a circle)
When an oil well burns, sediment is carried up into the air by the flames and is eventually deposited on the ground. Less sediment is deposited further away from the well. Experimental evidence... more
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02/13/24

Need help with trigonometric substitution for integrals
What is the integral of x^3/sqrt(9+x^2) using trigonometric substitution x=3tan(theta). How to go about this?
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02/13/24

Find the slope of the tangent line to the curve at x = −1.
f(x)= √9-10x
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02/13/24

Find an equation of the tangent line to the curve at the given point.

y= √x(25,5)
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02/13/24

Calculus 4 Question
For the solid of constant density k bounded by the surfaces z = x^2, y = 2z, z = 2, y = 0,a. Show the region using a 3d grapher and suitable zoom settings.b. Use iterated integrals to find the... more
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02/13/24

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.
Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.F(x) = (x+3x^4)^3, a = -1
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01/30/24

Use the form of the definition of the integral given in this theorem to evaluate the integral. 1 to 5 of (3x^2 + 8x) dx

Use the form of the definition of the integral given in this theorem to evaluate the integral. 1 to 5 of (3x^2 + 8x) dx
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01/30/24

The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method. y = −x^2 + 23x − 132, y = 0; about the y−axis
The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method.y = −x2 + 23x − 132, y = 0;  about the y−axisV=?
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01/22/24

Applications of Pythagoras' Theorem in Real-World Contexts
A folded napkin has a triangular cross section of sides x cm, (x+1) cm and (x+2) cm. If one of the angles of the triangle is 90°, find the value of x.
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01/22/24

Applications of Pythagoras' Theorem in Real-World Contexts
A courier travels due North at an average speed of 40 km/h for 6 minutes to collect a parcel, before travelling 10 km due East to deliver it. He then travels due South at an average speed of 30... more
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01/21/24

the perimeter of a rectangular field is 306 yards, if the width of the field is 65 yards, what is the length?
how do i do it?
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01/21/24

Consider the point (x, y) lying on the graph of the line
Consider the point (x, y) lying on the graph of the line 8x + 7y = 3. Let L be the distance from the point (x,y) to the origin (0,0). Write L as a function of x.
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01/21/24

Determine the extreme values of the function f(x)=x^2-8x+9, where -1≤x≤5. What is the absolute minimum and the absolute maximum?
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01/19/24

can this only be evaluated to 0/8 or is there a way to algebraically manipulate it?
Lim (x2-4)/(x2+4)x->2can this only be evaluated to 0/8 or is there a way to algebraically manipulate it?
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01/18/24

How many critical points: cosine function
The derivative of a function g is given by,g'(x) = cos((x-pi/2)x)How many critical points does the function have on the interval [1.8, 3.7]?A. 0B. 3C. 5D. 6
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12/16/23

A rectangular poster is to have an area of 100 square inches with a 1-inch margin on the right and left sides and a 2-inch margin at the top and bottom.

A rectangular poster is to have an area of 100 square inches with a 1-inch margin on the right and left sides and a 2-inch margin at the top and bottom. Find the dimensions of the poster with the... more
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12/16/23

A rectangular poster is to have an area of 100 square inches with a 1-inch margin on the right and left sides and a 2-inch margin at the top and bottom.

A rectangular poster is to have an area of 100 square inches with a 1-inch margin on the right and left sides and a 2-inch margin at the top and bottom. Find the dimensions of the poster with the... more
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12/15/23

the coordinates of AB are A(6,-3) and B(18,3). what are the coordinates of the point that is 1/3 if the way from A to B
the coordinates of AB are A(6,-3) and B(18,3). what are the coordinates of the point that is 1/3 if the way from A to B
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12/15/23

the coordinates of AB are A(6,-3) and B(18,3). what are the coordinates of the point that is 1/3 if the way from A to B
the coordinates of AB are A(6,-3) and B(18,3). what are the coordinates of the point that is 1/3 if the way from A to B
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12/14/23

Algebra 2 term sequence

A(1)=2, A(n)=3* A(n-1)+4, n>1
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12/13/23

A landscape architect wishes to enclose a rectangular garden on one side by a stone wall that costs 50 dollars per foot and on the other three sides by a wood fence that costs 15 dollars per foot.
A landscape architect wishes to enclose a rectangular garden on one side by a stone wall that costs 50 dollars per foot and on the other three sides by a wood fence that costs 15 dollars per foot.... more
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12/05/23

Solve this problem
At constant volume, the pressure (P) of an ideal gas varies directly with its temperature (T). Initially, the gas pressure was 2.1 atm at a temperature of 273 K. What was the gas pressure when the... more
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12/01/23

solve the following using function notation
f(2) = x + 10
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