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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03/10/22

Find an equation for the line tangent to the graph of y= 1 2tan−1 1 4x at the point (4,π/8).
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03/10/22

Help with calculus question
Find dy2/dx2 implicitly in terms of x and y.x2y − 5x = 7please work through the whole thing cause I keep getting messed up.
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03/08/22

Unsure about constant of variation

If y varies inversely with x, solve for y if the constant of variation k = 6 and x = 13 . Up until this point i have fully understood the constant of variation technique and have successfully... more
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03/08/22

Solve this equation
2a/a-4 - 4 = 4/a-4
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03/07/22

What technique would I use in order to reach the correct answer?
∫(3x2+4x+4)/(x3+x)dx I tried doing integration of rational functions by partial fractions but I end with ∫4/x dx + ∫(4x-1)/(x2+1)dx and I try doing integration of rational functions for... more
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03/04/22

i need help fast
The endpoints of  are A(2, 3) and B(8, 1). The perpendicular bisector of  is , and point C lies on . The length of  is  units.The coordinates of point C are (-6, 2)(5, 2)(6, -2)(10, 4). The slope... more
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03/03/22

Find the equation of the tangent line to the graph of f(x) = x^3 such that the tangent line equation has an x-intercept of x = 2 and isn't the x-axis.
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02/28/22

Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter... more
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02/27/22

Consider the differential equation ⅆy/ ⅆx=(y−1) (x+1) cos(x^2+2x+π).
Find the particular solution y= f(x)  to the differential equation with initial condition f(0)= 5/2 .
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02/23/22

Partial Fractions
Find the volume (in units3) of the solid generated when the region bounded by y=(1)/(\sqrt(x(6-x))) , y = 0, x= 1 , and x = 5 is revolved about the x-axis._______ units 3
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02/23/22

Please Help me to solve this !!!
Let . Use the figures below to find the indicated derivatives. A.
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