Find the constant variation for each combined variation. Then find the value of the unknown quantity in each variation, with s representing the constant of variation. 1. b=s√r/∛u n = 4, r = 64, u = 216 Find n when u = 125 and r = 100

Q: is ' (3n– 1)? n=1

A:

Q: An isotope of the element erbium has a half-life of approximately 13 hours. Initially there are 24…

A:

Q: dv 4.)Prove that f -Incosv + Insinv + C sinvcosv

A:

Q: 2. Find the particular solution to the differential equation dy 2y? dx cosec (x) if the point…

A:

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A:

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: 7. Two planes leave the same airport. The first plane leaves at 5:00 pm and averages 470 mph at a…

A: Given problem:- Two planes leave the same airport. The first plane leaves at 5:00 pm and averages…

Q: Graph the function. Use the graph to find the indicated limit, if it exists. x20 lim f(x), fx) = -…

A: solution:-f(x)=x3 ,         x≥0-6x  ,    x<0left hand limitlimx→0-f(x)=limx→0--6x=0right hand…

Q: Find the general solution of the given ODE x +1 y': y* +1 x? + r- - y? = x +4x + k Option 1 O Option…

A: integration

Q: 5. For vectors given the vectors v =(-4,-3) and w (-1,-1), find: (a) Sketch, v+w below. Find its…

A: We can solve as follows

Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

A:

Q: Differentiate x + y = e2x+2y A. 1 – 2e2x+2y 1+ 2e2x+2y y' В. -1 + 2e²x+2y 1 – 2e2x+2y y' | С. ||

A: Given query is to find the derivative of the expression.

Q: f (x)= arcsin (x³)+ aretan (4x)

A: derivative

Q: The equation o=- in spherical coordinates represents sphere. Select one: True O False

A: Here, the given equation is: φ=π5

Q: Еxample 5 1 1- Vxdx ха 0,

A:

Q: 12. Which of the following is equal to dx upon decomposition? х3 — x2 -2х 1. 6 A. C. 2+ х - 2 dx x…

A:

Q: 1 dv 5 3 v 2 –8v² +24v 2 –32v+16v 2

A: solution:-∫1v52-8v2-24v32-32v+16v12 dvlet v=t2dv=2t dt=∫2tt5-8t4-24t3-32t2+16t…

Q: I. Show that the function f defined by (1, y) = (0,0) %3D f(r, y) = (1, y) # (0,0) I+ y is not…

A:

Q: 1 dx x(x3000+1)

A:

Q: 22. Suppose the velocity of a particle moving on the number line is given by v(t) = 61² – 4t for…

A:

Q: Q2/ Find the second derivative of the following: 1. 2 Va 2. (x-1)(x2-2x)

A:

Q: Determine whether the series is convergent or divergent. If it is conve 00 2 (cos(26))k k = 1 Step 1…

A: Cos (26)= 0.647 Convergent Find the sum of series

Q: 1. A soccer ball is kicked with a speed of 75 mph at an angle of 30° from the horizontal. Write the…

A: Given query is to find the velocity components.

Q: Use the graph of y fx) shown at right to find the domain of f. 345) (-63) 9,3) The domain of fisO…

A:

Q: Find the absolute maximum/minimum value for f(x)=x² – 4x+1 on the interval [(-3, 3] 9.

A: Given: fx=x2-4x+1 and x∈-3,3   The Power law: ddxxn=nxn-1

Q: EQUATIONS DEPENDENT VARIABLE 5y (y/) = v sin e [Sclect ] - yy" + 2x tan a [ Select ] 3. [ Sclect] 4e…

A:

Q: Give your answer correct to Use differential to estimate the value of y 4.01 V4.01 8. four decimal…

A:

Q: 2.)S csc-³«(cosa)³da

A: Given ∫csc-3 α (cosα)3dαTo evaluate the integral:

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: h(x,y)=x^3-3x+3xy2 for critical point  ∂h∂x=0∂h∂y=0 ∂h∂x=3(x^2)-3+3y^2∂h∂y=0-0+3x(2y)for critical…

Q: g. f(x) =x' +Vx + h. f(x)=sec(3x)+ tan(5x³)

A:

Q: 3. Sx³V4 + x² dx

A:

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A:

Q: -1 Su(u² + 3)! du

A: We need to solve integral.

Q: 21. 3* 3=*-x+'(12x² – 4) dx

A:

Q: Biologists stocked a lake with 280 fish and estimated the carrying capacity (the maximal population…

A: We need to estimate the carrying capacity.

Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

A: We need to find second derivative.

Q: 0 14 (x² + 4y) dæ dy 4

A:

Q: 元 店sit sin? 4x cos² 2x dx

A:

Q: 2+ and g(x) = Figure out the domain of (fog)(x) in which f(x) = 4-x2

A: Given f(x)=2+x4-x2g(x)=1xHere…

Q: 2x+5 Зх +1 5) lim 2х+5

A:

Q: A 1.Find the domain of following functions: a.f (x) = {(2,6), (3, 9), (7, 11), (4, 0), (-1, 12)} and…

A: We are asked to find  domain and composite of the function

Q: S cosh(5x – 7) dx

A: The given integral is:∫cosh5x-7dx

Q: sin in dx X COS21nx

A: A detailed solution is given below.

Q: 3. (1 + e**) + e (1-- 0 Ans. x + ye*/y = C

A: To differentiate.

Q: 1. Find the most general antiderivative of the function f(x)D + sin(4- r) +7e

A:

Q: Find and b such that the following function is continuous at x=( [x] – 2a x 0 -

A: To find the values of a and b

Q: dx Which of the following functions satisfy the differential equation = x? dy O x= e o y= e* O x=y O…

A:

Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: dy - 3y= 5e* with initial condition K0) -5? dx Which of the following is a solution of the…

A:

Q: f(x)= sin (x² +2x)

A: