708 Answered Questions for the topic Calculus 1

06/24/19

#### Consider the following limit. lim x→3 (x2 + 9) Find the limit L. Find δ > 0 such that |f(x) − L| < 0.01 whenever 0 < |x − c| < δ. (Round your answer to five decimal places.)

I understand how to find the limit, but I do not understand how to find the second portion. Any help would be great! Cheers :)

10/15/18

#### determine r and is tangent to the graphic

Be "R" a straight that passing for (−1, 1) and is tangent to the graphic of f (x) = x^3−x. To determined "R".

10/07/18

#### Matrices question. PLSSSSS HELP.

4. Let n≥2, let A and B b en×n matrices and let On be the n×n matrix with every entry 0.(b) Suppose that A2 = On. Show that In − A is invertible, and that (In − A)-1 = In + A.(c) Suppose that Am =...
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10/07/18

#### I was wondering if you could help me find the limit of sin(sin(sinx))/x as x approaches zero

I was wondering if you could help me find the limit of sin(sin(sinx))/x as x approaches zero

10/05/18

#### How do you find points given the following?

Find the points on the graph of the function that are closest to the given point.f(x) = x^2,(0, 9)

10/05/18

#### A rectangular solid (with a square base) has a surface area of 121.5 square centimeters. Find the dimensions that will result in a solid with maximum volume.

A rectangular solid (with a square base) has a surface area of 121.5 square centimeters. Find the dimensions that will result in a solid with maximum volume.
= cm (smallest value)= cm= cm...
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10/05/18

#### Function with two equations [ f(x) = 4x + 1, x ≤ −1 & x^2 − 4, x > −1

Consider the following function.f(x) = 4x + 1, x ≤ −1 x^2 − 4, x > −1Find the critical numbers of f.
Find the open intervals on which the function is increasing or decreasing. (using...
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10/05/18

#### Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two x-intercepts. f(x) = −8x sqrt(x + 3)

Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two x-intercepts.f(x) = −8x sqrt(x + 3)My two intercepts thus far are (0,0) and (-3,0) But I need help...
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10/05/18

#### h(x) = cos (3x/2), 0 < x < 2pi

Identify the open interval on which the function is increasing or decreasing. (Using interval notation.)
h(x) = cos (3x/2), 0 < x < 2pi
So far for increasing I have (2pi/3, 4pi/3)

10/04/18

#### If f (x) − x^4 [ f (x)]^3 = −9x + 3 and f (1) = 2, find f '(1).

I keep getting the wrong answer and I was hard stuck with the question, hope someone would kindly help me.Thank you so much

10/04/18

#### Rolle's Theorem

The height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial velocity of 64 feet per second is f (t) = -16t2 + 64t + 5.
Verify that f(1) = f(3). In ft.f...
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10/01/18

#### Find the absolute extrema of the function on a closed interval

g(x) = 7 secx, [-pi/6, pi/3], solving for minimum (x,y) and maximum (x,y).

09/30/18

#### Solve the angles and side of triangle

Suppose a=3 and c=8
Find:
b= ??
Angle A= ??
Angle B =??
Angle C= 90 degrees

09/30/18

#### Solve for all solutions

solve 7cos(2x)=7cos^2(x)-5 for all solutions 0<=x<2pi
x=_________
Give your answers accurate to 2 decimal places

09/30/18

#### Solve for smallest positive solution

Solve sin(2x)cos(5x)-cos(2x)sin(5x)=-0.9 for the smallest positive solution.
x=____
Give answer accurate to 2 decimal places

09/30/18

#### Solve for all solutions

Solve cos^2(w)=-sin(w) for all solutions 0<=w<2pi
w=_____
Answers accurate to 2 decimal places

09/30/18

#### Solve for all solutions

Solve 8cos^2(x)+2cos(x)-3=0 for all solutions 0<=x<2pi
x=____________
Answers accurate to 2 decimal places

09/30/18

#### A Ferris Wheel is....

A Ferris wheel is 35 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel...
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09/30/18

#### Find an equation of the tangent line to the curve at the given point. y = 5ex + x, (0, 5)

if y-y1=m(x-x1) and we are given (0,5)... You are left to y-5=m(x-0). Now to find m you differentiate y'(0). From there, im lost.

09/29/18

#### Homework Question - Calculus

The number of years N(r) since two independently evolving languages split off from a common ancestral language is approximated by:
N(r) = -7000Inr
What r is the proportion of the words from the...
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09/29/18

#### Simplify into a single trig function

simply (1+cot(t))/(1+tan(t)) to a single trig function

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