05/30/23

how to simplify sin^2-cos^2
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05/26/23

Optimization problem (Calculus)
A rectangular pigpen will be surrounded by a fence and then divided into two sections by a block wall. The area of the pigpen must be 50 m^2 . Fencing costs $20/m. The block wall costs $35/m. What... more
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05/25/23

in f(x)=8+11 cos π/7 (x-2). find the first 3 positive values of x for whitch y=0
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05/17/23

Whats dy/dx of x squared minus the square root of 2 times x times y plus 3 times y squared equals 23?
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05/10/23

Find the equivalent expression of the trigonometric fucntion
12cos^(2)(6x)-12sin^(2)(6x)Answer choices:a. 12cos^2(12x)b. 6cos(12x)C. 24sin(12x)D. 24cos(12x)E. 6sin(12x)
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05/09/23

A manufacturing company has a 2% defect rate and seven items are chosen at random. What is the probability that one will have a defect?
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05/05/23

How fast is the light beam moving (in ft/sec) along the wall when the beam makes angles of 𝜃 = 45°, 𝜃 = 60°, and 𝜃 = 80° with the line perpendicular from the light to the wall?
A patrol car is parked 65 feet from a long warehouse. The revolving light on top of the car turns at a rate of 26 revolutions per minute. How fast is the light beam moving (in ft/sec) along the... more
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04/28/23

probability question
A certain disease has an incidence rate of 0.8%. If the false negative rate is 4% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease.
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04/27/23

Calculate derivatives

F(x)= x^3+tan(x)/ln(x)
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04/20/23

Find the volume of the solid formed
Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis.y = x3/4, x = 0, y = 1 (in the first quadrant); about the y-axis
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04/11/23

Calculus homework help

A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 5. (Round your answers totwo decimal... more
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04/03/23

tangent line approximation

Use the tangent line approximation of  at  to approximate .
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04/03/23

Linear approximation

If the local Linear approximation of  at  is used to find the approximation for , then what is the % error of this approximation?
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03/24/23

Consider a circle with radius 4 that is centered at the origin. Find the exact x and y coordinates of the point on this circle corresponding to an angle -1𝝅/3
x = __________y = __________
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03/21/23

calculus Initial value problem

solve the Initial value problem for y=y(x) wherexyy’ = (x^2)+1y(1) =2
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03/21/23

Net change (calculus)
the amount of water in a tank is changing at the rate te^t gallons per day. what is the net change in volume in the tank between times. t=0 and t=1?
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02/20/23

Solve for Trigonometric expression

A guy wire 1832 feet long is attached to the top of a tower. When pulled taut, it touches level ground 843 feet from the base of the tower. What angle does the wire make with the ground? Express... more
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02/20/23

Using the Method of Cylindrical Shells find the volume of the solid generated by revolving about the x-axis the region bounded by the upper half of the ellipse: x^2/a^2 + y^2/b^2 = 1,

and the x-axis and thus find the vol of a prolate spheroid. Here a and b are positive constants, with a>b. Using the Method of Cylindrical Shells find the volume.
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02/19/23

Applied Maximum and Minimum Problems

A microwaveable cup-of-soup package must be constructed in a cylinder to hold 400 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.03 cents per... more
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02/15/23

Which of the following integrals correctly computes the volume formed when the region bounded by the curves x2 + y2 = 100, x = 6 and y = 0 is rotated around the y-axis?
Which of the following integrals correctly computes the volume formed when the region bounded by the curves x2 + y2 = 100, x = 6 and y = 0 is rotated around the y-axis?
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01/13/23

Q has degree 3 and zeros 5, 3i, and −3i.
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10/31/22

Converse of a conditional statement
In the conditional statement If 5+5=20, then 3+2=5 how can the conditional be true when one part of the statement is not true ie 5+5=20 is not true.then the converse of that says If 3+2=5, then... more
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10/31/22

Given the graph of the function find the following inverse values
Use the given graph of the function f to find the following values for f−1.1. f−1(−4)= 2. f−1(−3)= 3. f−1(0)= 4. f−1(2)= 5. f−1(4)= 
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10/19/22

Fence Dimensions
A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides is to be made of material that costs 5 dollars per foot, and the material for the fourth side... more
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09/30/22

(A) Find the average rate of change of the area of a circle with respect to its radius r as r changes from
(A) Find the average rate of change of the area of a circle with respect to its radius r as r changes from(i) 2 to 3 --> Average rate of change = 15.7(ii) 2 to 2.5 --> Average rate of change... more
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