11/16/23

Concavity and Curve Sketching
graph the function y = x^2 / x-5 by: a. identifying the domain and any symmetries b. finding the derivatives ... y' and y', x²-4 c. finding the critical points and identifying the function's... more
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02/17/23

two sides of a triangle have lengths 10 m and 12 m....
two sides of a triangle have lengths 10 m and 12 m. the angle between them is increasing at a rate of .05 radians /min. how fast is the length of the third side increasing when the angle between... more
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12/13/18

Rancher Optimization

A rancher intends to mark off a rectangular plot of land that will have an area of 1500 m^2. The plot will be fenced and divided into two equal proportions by additional fence parallel by two... more
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12/12/18

U sub instead of trig sub
indefinite integral of sqrt((4-x)/x) solve when u= sqrt(x/(4-x)) then your dx= 1/[(x1/2/(2(4-x)3/2)+(1/(2(4-x)1/2(x)1/2))]then you get integral 1/(u^2+1) with an 8 outside the integral signshow me... more
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12/12/18

A bullet is fired in the air vertically from ground level with an initial velocity 228 m/s. Find the bullet's maximum velocity and maximum height.

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12/03/18

Design a cylindrical can (with a lid) to contain 5 liters (= 5000 cm3) of water, using the minimum amount of metal.
diameter___?___cmheight______?__cm
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10/29/18

Calculus question
Use the equation y=3x^2 -4x-5 to answer the following questions.a.) Write the equation of the tangent line drawn to this curve at x=2. Answer in general form.b.) find the slope of the normal line... more
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08/25/18

Calculating net torque
A man is pushing a shopping cart, horizontally exerting a force of 200 N , 0.15 m above his hip. The weight of his upper body is 250 N located 0.1 m in front of his hip. Assuming he is moving at... more
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07/08/18

Calculate how much would need to be invested at 8% p.a. compounded each half year to accumulate to $9600 in six years
I need help with this compound interest question it’s working backwards and I don’t know how to do it and don’t know it’s formula
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03/09/18

Precalculus
Find all angles which satisfy the following equation. (Use the parameter k as necessary to represent any integer. Enter your answers as a comma-separated list. If there is no solution, enter NO... more
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03/09/18

Precalculus
Find all angles which satisfy the following equation. (Use the parameter k as necessary to represent any integer. Enter your answers as a comma-separated list. If there is no solution, enter NO... more
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03/09/18

Precalculus
Find all angles which satisfy the following equation. (Use the parameter k as necessary to represent any integer. Enter your answers as a comma-separated list. If there is no solution, enter NO... more
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03/09/18

csc theta=-6/5, tan theta>0
Use the given information to find the exact value of thr trigonometric function cos theta/2
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03/09/18

The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 3 units, the value of k is ________
PLEASE HELP ANSWER ASAP
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03/09/18

word problems
THE LENGTHS OF THE THREE SIDES OF A TRIANGLE ARE X CM, (X+1) CM AND (X+2) CM RESPECTIVELY. FIND THE LENGTHS OF THE THREE SIDES IF THE PERIMETER OF THE TRIANGLE IS 135 CM.
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05/11/17

Find the arc length of the curve on the given interval using calculus.
Find the arc length of the curve on the given interval using calculus.x=arcsint   y=ln(1-t2)1/20≤t≤1/2
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04/19/16

cos^-1(cos16pi/5)
find the exact value of cos^-1(cos16pi/5). i do not understand how to derive from unit circle
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04/19/16

How do i solve this?
Two rooms in a house are similarrectangles. Room A is 12 ft by 16 ft. "elonger side of Room B is 4 ft shorter thantwice the length of the shorter side ofRoom A. What are the dimensions of thesecond... more
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12/29/15

Math Problem
Suppose f(12)=-4. Determine a point which must lie on the graph of the following : y=-3f(x+8)-5, y=1/2f(4/3x)
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12/28/15

given line AB is congruent to line AE, line BC is congruent to line ED
 This is a proof. I need at least 3 steps please  
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12/03/15

i to build a box with a square base and an open front. i only has 60 sq. ft. of cardboard to use. what are the dimensions of the box with the largest volume?
i am in a calculus 1 course and we are learning about optimization 
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11/03/15

-16t2+63t+4
The height h of an arrow in feet is modeled by h(t)=-16t2+63t+4, where t is the time in seconds since the arrow the shot. What is the maximum height of the arrow and after how long in the air will... more
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11/03/15

Find the absolute maximum and absolute minimum values of on the given interval : f(t) = t(4 - t^2), [-1, 2]
Find the absolute maximum and absolute minimum values of on the given interval : f(t) = t(4 - t2), [-1, 2]   I know I first need to find the y values for the endpoints:   f(-1) = 5 f(2) =... more
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10/12/15

Differentiate f(x) = xe^x csc(x)
Differentiate f(x) = xe^x csc(x)
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10/07/15

Calculus Homework
Suppose the cost of producing x widgets is C(x)=5000+40x−0.02x^2A. What is the cost of producing widget number 31? Your answer should be a single number. (Recall that C(x) is the cost of producing... more
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