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... more
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... more
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... more
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... more
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... more
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... more
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... more
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... more
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... more
Calculus Math Science Biology

11/15/23

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... more
Calculus

11/14/23

Evaluate the integral

41 ∫√(11/x)
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 $... more
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... more
Calculus

11/14/23

Finding critical points

Find all critical points for the function f(x)=x^2 + 54/x
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... more
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... more

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