25,270 Answered Questions for the topic calculus
Calculus
11/17/23
I need help with netwon method
Use Newton's method to approximate the indicated solution of the equation correct to six decimal places.the positive solution of e3x = x + 8
Calculus
11/17/23
FInd the Nearsighted Cow problem
A rectangular billboard 8 feet in height stands in a field so that its bottom is 12 feet above the ground. A nearsighted cow with eye level at 4 feet above the ground stands x feet from the...
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Calculus
11/17/23
I'm not sure how to do this problem
A women at a point A on the shore of a circular lake with radius r=4 wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time.She can walk...
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Calculus Math
11/17/23
Is it mathematically possible to have an infinity that includes all real numbers and undefined numbers?
I understand that the idea of absolute infinity includes all real numbers. What about absolute infinity + infinity*i? I also understand that there is no way of solving this since infinity is not...
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Calculus
11/16/23
Don't know how to answer
(a) Use the following definition to find an expression for the area under the curve y=x^3 from 0 to 3 as a limit.The area A of the region S that lies under the graph of the continuous function f is...
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Calculus
11/16/23
Find the point on the line 5x+4y−4=0 which is closest to the point (4,0).
Find the point on the line 5x+4y−4=0which is closest to the point (4,0).
Calculus
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...
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Calculus
11/16/23
When solving a definite integral, can there be non real numbers as the final answer (like i)?
Calculus
11/15/23
Boat Shoreline Question
Jane is c=3 mi offshore in a boat and wishes to reach a coastal village b=8 mi down a straight shoreline from the point nearest the boat. She can row 2 mph and walk 5 mph. At what point x miles...
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Calculus
11/15/23
How derivatives Affect the shape of a graph
4. T/F (with justification) If a function f(x) on the interval (−1,1) is twice differentiable and f′′(c) = 0 for some c in (−1,1) then f(x) has an inflection point at x = c.
Calculus
11/15/23
How derivatives affect the shape of the graph
For x in the interval (0,100), let f(x) = x100 +(100−x)100. Determine on what open intervals in (0, 100) the function f (x) is increasing and decreasing, and use this information to decide which of...
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Calculus Math
11/15/23
A police car is located 70 ft to the side of a straight road. A red car is driving along the road in the direction of the police car and is 170 feet up the road from the location of the police...
A police car is located 70 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is 170 feet up the road from the location of the police...
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Calculus Math
11/15/23
Find the area of the region that lies inside both curves. r = 3 + cosθ , r = 3 + 2sinθ
please help with this Ive been trying to do this question for hours and I don't understand.
Calculus
11/15/23
Calculate the Riemann Sum for the following equation
The function is f(x) = 1/x and the interval I = [1, 4]. Partition the interval using the points x0 = 1, x1 = 2, x2 = 5/2 , x3 = 7/2 , x4 = 4.Use the midpoint in each of the subintervals as a...
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Resistor and Capacitor Arrangements
Three capacitors are connected as shown in the figure. What is the equivalent capacitance between points A and B? Please explain the steps leading to your answer.If you were to swap all capacitors...
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Calculus
11/14/23
Optimization quiestion
A power line is to be run to an offshore facility as shown in the figure above. The offshore facility is D=4 AND L=4 miles at sea and miles along the shoreline from the power plant. It costs $...
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Calculus
11/14/23
Find the quadratic function
Find the quadratic function f(x)= ax^2+bx+c that goes through (2, 0) and has a local minimum at (0, -1)
Calculus
11/14/23
calculus math homework
The measurement of the radius of a circle is found to be 24 inches, with a possible error of 1.2 inches. Find the propagated error, the relative error, and the percent error of finding the area of...
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Calculus
11/14/23
fundamental theorem of calculus
Around the beginning of the 1800’s, the population of the U.S. was growing at a rate of about 1.34^t million people per decade, with t being measured in decades from 1810.If the...
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Calculus
11/14/23
determine all critical points for the function
determine all critical points for the function f(x)= x(4-x)^3
Calculus Math
11/14/23
Calculus 5.2 Definite Integrals
We have three different definite integrals.Let ∫ b=9 and a=6 f(x)dx = 9, ∫ b=7 and a=6 f(x)dx=8, ∫ b=9 and a=8 f(x)dx=10I'm asked to find two things.Find ∫ b=8 and a=7 f(x)dx=?and ∫ b=7 and a=8...
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