18 Answered Questions for the topic Basic Calculus

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

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

14d

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

14d

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

27d

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

Basic Calculus Math Calculus Mathematics

02/20/21

Sketch the graph of f showing the correct concavity with the points of inflection properly labelled.

Given the graph of the derivative of the function f, which is continuous in its domain, which is the set of real numbers.Hello! Please help me understand how to solve this problem :(( I would... more
Basic Calculus Math Calculus Mathematics

02/20/21

Air is pumped into a spherical balloon at a constant rate of 80 cm^3/s.

What is the rate of change of the radius and how fast does the surface of the balloon change at the instant when the radius is 15cm?Hello! I've solved this problem and I would just like to... more
Basic Calculus Math Calculus Mathematics

02/17/21

Determine f if f'(x)= x^2/sqrt(x^3+3x+1) and f(0)=1

hello! i’ve been solving this for quite some time now and i’ve yet to get any conclusive results. i would really appreciate some assistance :)) thank you!!
Basic Calculus Math Math Calculus

02/16/21

How can I use definite integrals to solve the given problem?

A particle P moves in a straight line so that at t seconds, its displacement, s meters from the starting point is s=t^3-7t^2+17t. Determine the interval of time when the particle is moving at an... more
Basic Calculus Math Calculus Mathematics

01/26/21

Find Lim x--> 0 ( 3x^2 / 1 - cos^2 1/2x )

Hello! I have tried solving this problem and I would just like to verify if the answer is 12. I also found it hard to find a cohesive solution and I would really appreciate some guidance. Thank you... more
Basic Calculus Math Calculus Mathematics

01/25/21

How do I solve this Lim x--> + ∞ { ( √( x2 + 4x + 1) ) - x } using the Chain Rule?

Hello ! I've managed to solve for the given equation's limit using the standard concepts involving derivatives, but I would like to find out how to solve it using the chain rule because it is... more
Basic Calculus Math Calculus Mathematics

01/23/21

What is the limit of the square root of x^2 + 4x + 1 subtracted by x, as x approaches positive infinity?

Hello ! I've tried to solve for this problem, but I can't seem to find an answer wherein the limit exists. I would appreciate assistance with regards to determining what I did wrong for my... more
Basic Calculus Derivatives

01/15/21

Determine an equation of the line tangent to y=2x^2+3 that is parallel to the 8x-y+3=0.

Determine an equation of the line tangent to y=2x^2+3 that is parallel to the 8x-y+3=0.
Basic Calculus Algebra 1 Calculus Functions

09/16/20

At noon, a car leaves town A on a street road, heading south at 60 km/h, and a plane 4 km above the ground passes over town A heading east at 650 km/h.

PLEASE HELP ME ANSWER THIS QUESTION ITS SO HARD FOR ME TO ANSWER.(a) Express the distance r travelled by the car and the distance s travelled bythe plane as functions of time.(b) Express the... more

03/11/20

Real life application limits and continuity

Hello I need this today. A real life situation of limits and continuity with problem solving, solution and function model.
Basic Calculus Math Calculus Derivatives

11/04/19

Please help me to solve this equation and it's all about Derivatives (Basic Calculus)

This is a performance task and I don't know what to do here 😭y=sin^3(x^3+log2 X)
Basic Calculus Math Calculus Trigonometry

08/27/15

find the derivative of each of the following

1)f(x)=(3x2+5)(2x-1)   2) f(x)=6x-11/8x+1   3) f(x)=(5x-2)(2x+3)/x-4   4)f(x)=(8x+3)2   5) f(x)=√¯8-5x   6) f(x)-6x(7x-1)2   7) f(x)=-6ex+1   8) f(x) =1n(5x2-3x)   9)f(x)=5x2/ex

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