Find the domain and range Vx+1 1- y = 7 х-1 2 - y

Q: There is a large mixing tank that initially holds 120 gallons of brine (water in which salt has been...

A:

Q: Determine whether the integral is convergent or divergent. 1 5 dy 4y - convergent divergent If it is...

A:

Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; f(2) =-1; f(3) =-3 Relatio...

A:

Q: QUESTION 2 Differentiate of the following function with respect to x. a) y = x³ln (2x) 3x2+10 b) y =...

A:

Q: For the given position vectors r(t), compute the (tangent) velocity vector r′(t) for the given value...

A: Part A,             rt=cos5t,sin5tTo find : r'π4  

Q: 4

A:

Q: 21 - v oX

A:

Q: Determine whether the following sequence is increasing, decreasing, or neither. 5n-2 i. an = 4n+1 ii...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Determine whether the sequence an 11 21 n2 n2 converges or diverges. If it converges, find the limit...

A:

Q: Describe how the graph of the following function can be obtained from one of the basic graphs. g(x) ...

A:

Q: Find a parametrization of the circle of radius 8 in the xy-plane, centered at (1,−4), oriented count...

A:

Q: QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1....

A: Given: A conical water tank has a radius of 5 cm at the top and 20 cm high.  Water flows into a tank...

Q: y = Arc tan Vx

A:

Q: Write the trigonometric expression as an algebraic expression in u. cot ( cos 'u) cot (cos 'u) = (Ty...

A: Inverse function

Q: Determine the Convergence Interval of the following series! (x – 3)" n² n=1

A:

Q: Find the piact farglhofthe Curve ー7 カ+6-6 2ナタナ

A:

Q: Find the general solution of У" - Зу + 2у 3 2х3 - 9х? + 6х

A:

Q: Find the 8th term of the arithmetic sequence -4, -9, –14, ... Answer:

A:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A:

Q: 1아 %3D %3D 3D -10 -15- lim_f(x) 2. lim f(x) x→-1+ 3. lim f(x) 1. x→-1- x→-1' 4. lim f(x) 5. lim f(x)...

A: Given problem:-

Q: Find the equation of family of lines whose sum of intercepts is equal to 5.  Show solution and grap...

A:

Q: [tan*dog a) * dx x) x(1+log?: tan (log x) 8. 2

A:

Q: Find the 10th term of the arithmetic sequence -2,1, 4, ... Answer:

A:

Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + cze3x (2) by eliminati...

A:

Q: Write out the first five terms of the sequence with, | ()" determine whether n+4 n+2 n=1 the sequenc...

A:

Q: The average change of a function f over an interval [¤1, x2] is f(x2)-f(x1) First find the average r...

A: We can find the instantaneous rate of change as below

Q: Evaluate the integral. 25 In y dy 16

A: Given problem:-

Q: f(x)=2x^2+5x+3 find all values of x where the slope of the tangent line to is 0

A:

Q: No, last te 10

A: FOLLOW THW PROCEDURE GIVEN BELOW.

Q: A function f satisfies the following conditions. f(-3) = 2, f' (-3) = 0, f(-1) = 5, f' (-1) = 0, f (...

A: Given that the function f satisfies the following conditions f(-3) = 2, f'(-3) = 0, f(-1) = 5, f'(-1...

Q: 2n5-n2+4 i. an n²+1

A: Follow the procedure given below.

Q: Homogeneous ODE x^2y'=4x^2+7xy+2y^2

A:

Q: 8.Detormire the maximom num bec of Furning poinds Of .

A:

Q: Scscx cotx sin (csc x )dx

A:

Q: 1. Find the limit of the following: x° – 11x +37x* +6x' – 297x? +621x – 405 lim. x* —11x* +47х* -114...

A:

Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: write the given expression in the form of u^2 - a^2: x^2 - 6x + 5 is equal to. SUBMIT YOUR SOLUTION ...

A: Here we have to use the completing square method

Q: Find the general solution of = 0 y" – 2y"' + 10y":

A: Given: y(iv)-2y'''+10y''=0To find the general solution of given differential equation:General soluti...

Q: Solve the differential equation (y¯+ y)dx - (y¯+ 2xy + x) dy = 0. If y = 1 when x = 3, determine x w...

A: Topic:- differential equations

Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: Variable Separable (6) (xy - 3y + x – 3)y' = xy + 2y – x - 2 (7) y' kM – ky; Provide the explicit so...

A:

Q: QUESTION 4 Given f(x) = 8x3 + 2x. Estimate the value of f(2.01) using differential.

A: Given that: f(x)=8x3+2x

Q: Given y= (10x+18ex )9 , find dy/dx

A: The given function,      y=10x+18ex9

Q: If the solution of y' = cos x - y sec x passes through the point (0,1), determine y when x = TT radi...

A:  

Q: 22. n/2 sec (t/2) dt 24. | (tan?x + tan*x) dx

A: using the properties of integral we find the given integral 

Q: Find the parametric equations for the tangent line to the curve x=t^2−1,y=t^4+1,z=t^4 at the point (...

A: Given: x=t2-1, y=t4+1, z=t4 Point 8, 82, 81, is for t=3 as you can see substituting it in the three ...

Q: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

A:

Q: 3. (10 — 6у + е 3а) da — -32 2dy = 0

A: The given differential equation is: 10-6y+e-3xdx-2 dy=0

Q: 3. 2. 13) tan -1 3. V3 15) sin- 17) tan-1 1. 19) sin--

A:

Q: to, thenk is15 not a - andly-k) 5/15 not a If fQ) =0,thvnk 5/5 not cs ond Oxok) Is/15 not a

A: The Remainder theorem says that if a polynomial P(x) is divided by (x-a) then remainder obtained is ...