04/04/22

How do I find the area bounded by a function?
Find the area bounded by f(x)=10-4x2 and the x-axis on the interval [1,2] by finding the limit of the upper and lower sums. Find the width Δx=(b-a)/n, the lower heights f(a+(b-a)(i-1)/n) the lower... more
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04/03/22

Find the limit of a function
1. lim {(sin^(-1)(x/2)-(π/6))/x-1} x->1 2. lim {(sin^(-1)(5x))/(tan^(-1)(2x))} x->0 3. lim ln(2x/π)tanx x->(π/2)^(+) I would like to know the detailed solution, please
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04/02/22

Apply L’Hospital’s rule
limx→0+ (xx - 1)/(lnx-x+1)Apply L’Hospital’s rule
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04/02/22

For what values of a and b is the following equation true?
lim ((sin2x/x3)+a+(b/x2))=0x→0
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03/31/22

Evaluate the limit using the following formula.
(a) Use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit.  lim n→∞ n i = 1   (0+in​)3·1n​     (b) The following formula for the sum of the... more
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03/30/22

Can you help me with this question?
Find the formula for a function of the form for with (i) a local maximum at and (ii) points of inflection at and . ....................
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03/30/22

A family is traveling due west on a road that passes a famous landmark.

A family is traveling due west on a road that passes a famous landmark. At a given time the bearing to the landmark is N 62° W, and after the family travels 4 miles farther the bearing is N 38° W.... more
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03/29/22

How many pounds of nuts selling for $5.50 per pound and raisins selling for $2.50 per pound should
How many pounds of nuts selling for $5.50 per pound and raisins selling for $2.50 per pound should Noah combine to obtain 7.5 pounds of trail mix that cost him $4.50 per pound? Round your... more
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03/28/22

The scientist needs liters of 75 % alcohol solution and liters of 35 % alcohol solution
A scientist needs 480 liters of a 40% alcohol solution. She has available a 75% and a 35% solution. How many liters of the 75% and how many liters of the 35% solutions should she mix to make the... more
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03/28/22

Find the equation of the normal line to the graph
Find the equation of the normal line to the graph of e^y tan(xy) − ln(x^2 − 3y) = sin^2(πx) at the point (1,0)
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03/28/22

Derivatives, Differentiation

Find the equation of the line tangent to y = sqrt of (10 - x^2 ) and perpendicular to the line y = 3x -10
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03/24/22

Can you help me come up with an equation for a parabola with vertex at (-2,4) and focus at (-4,1) ?
I am stuck on this problem because I am not sure how to rotate the parabola. I used the equation x=a(y-k)^2+h with (h,k)=(-2,4). I think this problem has something to do with rotation but I'm not... more
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03/23/22

Newtons Method help

Find the x-value where the maximum value of y=sinx−7x^2 occurs. When you need to solve for an expression equal to zero, use Newton's method with x=0 as your first guess and enter your second guess... more
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03/20/22

Two poles are connected by a wire that is also connected to the ground. The first pole is 40 ft tall and the second pole is 20 ft tall. There is a distance of 60 ft between the two poles.

Where should the wire be anchored to the ground (in ft, from the shorter pole) to minimize the amount of wire needed?
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03/20/22

Decreasing and increasing rates
A baseball field is a diamond with one length equal to 90 ft. A batter hits the ball and runs towards first base at 27 ft/s. A) At what rate is his distance from second base decreasing when he is... more
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03/20/22

Algebra Help Please
Add: -3∠-125° + 7∠115°(A) - 1.24 R + 8.80 U(B) 3.89 R - 4.68 U(C) - 4.68 R + 8.80 U(D) 0.15 R + 1.73 U(E) none of these
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03/20/22

Series of Sequences
I was given this summation problem and I thought that it would converge to cos(2.4), but got the question wrong. Are you able to show how to solve this problem? Thanks!
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03/20/22

Series of Sequences
I was given this summation problem and I thought that it would converge to 9/11, but got the question wrong. Are you able to show how to solve this problem? Thanks!
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03/19/22

Bearings Application Problem
A boat leaves the harbor entrance and travels in the direction N 29 ∘ E. After 19 miles, the captain realizes he's made a navigation error, and changes direction to S 59 ∘ E. After... more
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03/18/22

Please help!! I cant find the last two

For each pair of functions, find  and  . Determine the domain of  and the domain of . Show your work4.  and 5.  and 
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03/16/22

I'm having trouble with this Calculus question, can anyone help?
The solution to dy/dx = 2e^(2x+y) with initial condition (0, –ln 5) can be expressed as y = –ln(j – ke^(2x)) for real numbers j and k. What are the values of j and k?A. j = 5, k = 1B. j = 5, k =... more
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03/13/22

If y=1/2(e^{x}-e^{-x}) show that x=ln(y^{2}+(y^{2}+1)^{1/2})
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03/11/22

Find the asymptotes of the curve y^2=(x-a)^3/(x+a) Find the asymptotes of the curve y^2=(x-a)^3/(x+a)
Find the asymptotes of the curve y^2=(x-a)^3/(x+a) Find the asymptotes of the curve y^2=(x-a)^3/(x+a)
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03/11/22

please help me find the absolute extrema
Find the absolute extrema of the function on the closed interval.y=5e^x sin x, [0,𝜋]Minimum (x,y)= (0,0) (smaller x-value) (x,y)= (𝜋,0) (larger x-value)Maximum (x,y)= ?
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03/10/22

Determine dx/dy of function with function inside of it
Let y = √(x + f(x2 − 1)) Determine dy/dx when x=3, given that f(8) = 0 and f '(8) = 3.
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