807 Answered Questions for the topic Calculus 1
10/26/20
Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem. PV=$11,000; PMT=$500; n=40; i=?
Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem.PV=$11,000; PMT=$500; n=40; i=?i= _________ (Type an integer or...
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Calculus 1 Calculus
09/16/20
Find the parabola with equation y = ax^2 + bx+c whose tangent line at (1,1) has equation y = 3x − 2, and satisfies y''(2) = 3.
04/29/20
Derivative and Second Derivative test
Hi, I'm stuck on this problem, could someone please walk me through it.⦁ Identify all absolute and relative extrema of the function using the Second Derivative Test. Justify your work...
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Calculus 1
03/24/20
Find the linearization at x = a ; y =(4+x) ^-1/2, a = 12
Average velocity calculus questions
An object moves on a line so that its position in meters at time t seconds is s(t) = sin(t).a) Find the average velocity over the time interval [1, 1+h]b) Estimate the instantaneous velocity when t...
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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 :)
10/27/18
Particle functions
Consider a particle moving along the x-axis where x (t ) is the position of the particle at time t, x' (t ) is its velocity, and x'' (t ) is its acceleration. A particle moves along the x-axis at a...
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Calculus 1 Calculus
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".
Calculus 1
10/08/18
find the relative maxima of f(x)=cos ^2(3x) on the interval (0,4.189)
apply the first derivative test
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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Calculus 1
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
Calculus 1 Optimization
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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Calculus 1
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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Calculus 1 Concavity
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)
Calculus 1
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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Calculus 1 Derivatives
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).
Calculus 1 Derivatives
10/01/18
Find the absolute extrema of the function on a closed interval
g(x) = (8x^2)/(x-2) , [-2,1]
looking for: minimum (smaller x value) (x,y) = minimum (larger x value) (x,y) = maxiumum (x,y) =
Calculus 1 Calculus
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
Calculus 1 Calculus
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
Calculus 1 Calculus
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
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