Trigonometry verify equation is identity

Sinx+cosx/sinx-cosx= 1+2sinx×cosx/2sin^2x-1I keep getting stuck on these after a few lines

10/28/24

Integration stuff

Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "DNE".∫ oo on top and 2 on bottom (9)/(x+2)^3/2 dx

10/28/24

Similar to last problem

Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "DNE"∫ with 4 on top and -oo on bottom with (1)/(x^2 +1) dx

10/24/24

You have 200 ft of fencing to enclose two adjacent rectangular corrals. The total area of the enclosed region is 1400 sq ft. What are the dimensions of each corral? (The corrals are the same size)

The two corrals share one of its widths, so there are only 3 widths, not 4. I can't figure this question out and I need to turn it in by tomorrow, please help me.

10/23/24

Distance problem

Jane took a boat upstream for 15 minutes. When she went back downstream at the same speed, it only took her 5 minutes. If the current is 3 km/h, what is the speed of the boat in still water? Thank... more

Calculus and Trigonometric Identities

Find all the values of x in the interval [0, 2π] that satisfy the equation sin(4x)=cos(2x).

10/22/24

write a linear function f with f(2)=−2 and f(1)=1

10/21/24

Slope intercept form

What is the slope intercept form for a perpendicular line question f(x)=12-4(x)?

10/20/24

The amount of economic aid E (in millions of dollars) a country receives from the USA is related to the military aid x(in millions of dollars) it is also receiving

The amount of economic aid E (in millions of dollars) a country receives from the USA is related to the military aid x(in millions of dollars) it is also receiving by the function E(x)= 10 +... more

10/20/24

The pH of a solution is a measure of its acidity. Formally, pH = -0.4343lna where a is the hydrogen ion activity.

The pH of a solution is a measure of its acidity. Formally, pH = -0.4343lna where a is the hydrogen ion activity. Suppose that the hydrogen ion activity of a solution is increasing at a rate of... more

10/18/24

applied calculus maximization question

The owner of the Rancho Los Feliz has 2940 yd of fencing to enclose a rectangular piece of grazing land along the straight portion of a river and then subdivide it by means of a fence running... more

10/17/24

Solve for dy/dx

(7xy + 5)^2 = 14yThe answer is (7xy^2 + 5y) / (1 - 7x^2y - 5x)I got that answer but the signs wrong I ended up getting (-7xy^2 - 5y) / (7x^2y + 5x - 1)I've been doing implicit diff problems and I... more

10/14/24

If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

∑n=1 to ∞1+7^n/ 8^n 

10/14/24

Integration in calc two

How do you integrate ∫4x^3e^(x^2 - 3) dx

10/14/24

Find the sum of the series

 ∑1 to ∞ (4/n(n+1)+5/2^n) 

10/11/24

Calculus 1 homework question 2

Find the derivative of: ((x^2)^1/3−2𝑥+11)/(𝑒^𝑥−𝑥^𝑒−4)

10/11/24

Ray BD bisects ∠ABC so that m∠ABD = x+15 and m∠DBC=4x-12. What is X?

The given ray BD is an angle bisector, find the measure of the indicated angle when m∠ABD = x+15 and m∠DBC=4x-12. What is X?

10/10/24

fdx=a(2x^2+1)(3x^3-7)x=-1

fdx=a(2x^2+1)(3x^3-7)x=-1

10/10/24

Calculus homework question please help

Find 𝑑𝑦𝑑𝑥 for the following equations.(a) (7pts) 2+𝑥=sin(𝑥𝑦^2)(b) (8pts) 𝑦=𝑥^(cos3(𝑥))

10/10/24

Calculus homework question help urgently

Let ℎ(𝑥)=𝑓(𝑔(𝑥)). If:𝑓(3)=−9, 𝑓′(35)=−5, 𝑓′(3)=2, 𝑔(3)=35, & 𝑔′(3)=4,then ℎ′(3)=   

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