87 Answered Questions for the topic Basic Calculus

Basic Calculus Math Calculus Maths

03/28/22

A spherical snowball is being made so that its volume is increasing at the rate of 8ft^3/min/ Find the rate at which the radius is increasing when the snowball is 4t in diameter.

A spherical snowball is being made so that its volume is increasing at the rate of 8ft^3/min/ Find the rate at which the radius is increasing when the snowball is 4t in diameter. Show Complete... more
Basic Calculus Math Calculus Maths

03/28/22

A child is flying a kite at a height of 40 ft, that is, moving horizontally at a rate of 3 ft/sec.

A child is flying a kite at a height of 40 ft, that is, moving horizontally at a rate of 3 ft/sec. If the string is taut, at what rate is the string being paid out when the length of the string... more
Basic Calculus Math Calculus Maths

03/28/22

Find the equation of the tangent line and normal line to the curve e^(-x)-y=0 at (-1,0).

Find the equation of the tangent line and normal line to the curve e^(-x)-y=0 at (-1,0).
Basic Calculus Calculus Limits

03/24/22

Limits, Definition

Always true or false? The value of the limit of f(x) as x approaches e does not exist when e is not part of the domain of f. If f(x) = c, c is all real numbers, then the limit of f(x) as x... more
Basic Calculus Math Calculus Maths

03/19/22

A printer needs to make a poster that will have a total area of 200 in^2 and will have 1- inch margins on the sides,

A printer needs to make a poster that will have a total area of 200 in^2 and will have 1- inch margins on the sides, a 2-inch margin on the top and a 1.5-inch margin on the bottom as shown in... more
Basic Calculus Math Calculus Maths

03/19/22

A Norman window is constructed by adjoining a semicircular window to the top of a rectangular window (See Figure 13.).

A Norman window is constructed by adjoining a semicircular window to the top of a rectangular window (See Figure 13.). If the perimeter of the window in 16 ft, find its dimensions so that it admits... more
Basic Calculus Math Calculus Maths

03/19/22

A random sample of size 50 is taken from a large population with mean 𝝁 = πŸπŸ”πŸŽ and standard deviation 𝝈 = πŸπŸ–.

A random sample of size 50 is taken from a large population with mean 𝝁 = πŸπŸ”πŸŽ and standard deviation 𝝈 = πŸπŸ–. What is the mean of the sampling distribution of the sample means? (is 160 the correct... more
Basic Calculus Math Calculus Maths

03/17/22

A population consists of the three numbers (3,5,7). Make a table and compute for the following:

A population consists of the three numbers (3,5,7). Make a table and compute for the following:A population consists of the three numbers (3,5,7). Make a table and compute for the following:(a)... more
Basic Calculus Math Calculus Maths

03/17/22

A population consists of the three numbers (3,5,7). Make a table and compute for the following:

A population consists of the three numbers (3,5,7). Make a table and compute for the following:(a) Population mean(b) Population variance(c) Population standard deviation. Complete the table and... more
Basic Calculus Math Calculus Maths

03/17/22

What is slope of the tangent line to the curve.y=(4x2-3)8 at point (1,1)?

What is slope of the tangent line to the curve. y=(4x2-3)8 at point (1,1)?is y' (1)= 64 the correct answer?
Basic Calculus Math Calculus Precalculus

03/15/22

APPLICATION OF DERIVATIVES - RELATED RATES

A 14-foot ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2 ft/s., how fast will the end be moving away from the wall when the top is 6 ft. above the... more
Basic Calculus Math Calculus Maths

03/08/22

Find the slope of the tangent line of the given equation at the indicated point.

Full problem and questions- https://imgur.com/F3By45v
Basic Calculus Math Calculus Maths

03/08/22

A. The derivatives of the trigonometric functions, csc, sec and cot, can be found easily using the Quotient rule.

Full problem and questions- https://imgur.com/CPKadWi
Basic Calculus Math Calculus Maths

03/07/22

is limx->0^- f(x) and limx->0^+ f(x) equal

is limx->0^- f(x) and limx->0^+ f(x) equal, if they are equal does that mean that they are differentiable?
Basic Calculus Math Calculus Maths

03/05/22

Find the intervals on which each function is continuous. Show necessary solutions. You may refer to the graph.

Find the intervals on which each function is continuous. Show necessary solutions. You may refer to the graph. See picture below.Click here- https://imgur.com/TB1TAgs
Basic Calculus Math Calculus

06/08/21

please help me with this using POLYNOMIAL FUNCTIONS USING SUBSTITUTION RULE (with solution pleaseee)

∫ x √2x2-9 dx ∫ x3 (1+3x4)5dx
Basic Calculus

06/02/21

HELP ME! ASAP PLS HELP ME

A stone dropped from a balloon rising at the rate of 25 ft/s. It reached the ground in 8 seconds.a. with what velocity did the stone strike the ground?b. how high was the balloon when the stone was... more
Basic Calculus Calculus Limits Graph Limit

05/12/21

Calculus for solving graph

The graph of g(x): note: below is the link i cannot send the picture because of characters. http://www.mathguide.com/lessons3/Limits3.htmli need help at the part of "Evaluating Limit" part...my... more
Basic Calculus Limits Limits Of A Function

05/11/21

Limits and Limits of a Function (Basic Calculus)

Please don't forget to provide a step-by-step and a clear solution, so I can study it well afterwards. Thank you!1.) Lim (x^2+2x+1) x-> 12.) Construct the table of values for number 1... more

05/01/21

Infinite Limits and Infinity at Limits

1.) Lim x->4+ ( -(x-2)/(4-x) + (5x)/(2x+3) )2.) Lim x-> 3- ( (2x/x-3) - (x+8)/(5x+2) )3.) Lim x-> +∞ ( (8x^4-2x^3+x^2+7x-1) / (2x^4+2x^3-3x+11)4.) Lim x-> +∞ ( (7x^2+2x-10) /... more

04/30/21

Infinite Limits and Limits at Infinity

Exercise 4.2 (Number 1 and 2)1.)lim-> 4+ ( -(x-2) / (4-x) + (5x) / (2x+3) )2.) lim-> 3- ( (2x/x-3) - (x+8)/(5x+2) )*note: please include also a solution and a step-by-step explanation for... more
Basic Calculus Math Calculus Mathematics

04/26/21

Arturo builds a storage box with a square base. The box should have a volume of 80 cubic centimeters.

Arturo builds a storage box with a square base. The box should have a volume of 80 cubic centimeters. The material used for the top and bottom of the box (the square bases) cost Php 10.00 per... more
Basic Calculus Math Calculus Mathematics

04/26/21

Arturo builds a storage box with a square base. The box should have a volume of 80 cubic centimeters.

Arturo builds a storage box with a square base. The box should have a volume of 80 cubic centimeters. The material used for the top and bottom of the box (the square bases) cost $0.21 per square... more
Basic Calculus Calculus

04/13/21

why is there a need to maximize the materials in making a box?"

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