dA when r = 2. dt dr Let A be the area of a circle with radius r. If = 2, find dt

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: We will create a Lagrange's function to solve the problem.

Q: 4. Solve the matrix equation for x and y. 2 1 5 3 -2 -2 1 x 9 5 у %3D 1 -3

A:

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

A:

Q: Bradley has 35 baseball cards. H shared them equally among himself and 6 friends. Then Bradley…

A:

Q: Determine whether the lines L and L2 are parallel. L1: x= 2-3t, y = 3+ t, L2: x = 4- 12t, y= -3 +…

A:

Q: Which of the following is the correct definition of the limit? The lim f(x) = A, if and only if, for…

A: Explanation of the answer is as follows

Q: er limit of 1 and a lower limit of 0.

A:

Q: SEATWORK Solve two problems; one problem from #1 and one problem from #2. Submit clear and upright…

A: Since you have posted multiple questions i can do first question with first three subparts as per…

Q: allsweCI -5e" dx converges 4x to

A:

Q: Given z = sin(1 - 2). x = 2 – ts and y = 2t – s - then calculate when t = -1 and s = -1. dt

A:

Q: I (z sin(x) + y² )dV Evaluate 5 5 B = {(x, Y, 2)|– as *<I<,4 < y< 8,4 < z < 6} . %3D 6. Round your…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Your explanation should answer WHY you are doing the work and HOW you are doing the work briefly…

A: If f'x is:→ then fx is-ve→decreasing0→horizontal +ve→increasing=a &amp; ≠0 →slant with slope…

Q: 8.) y Inxlny dx + dy = 0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the differential equation with appropriate method. Finalize answer equated to y. y' = 2xy - x

A:

Q: Find the derivative of the following functions from first principles. (i) x? (ii) e* (iii) log (x+…

A:

Q: Determine the integrals of the following functions. Express the final answers in simplest form. 8 5…

A:

Q: Applications of Integral calculus 3. The following curves bounds a certain area: y = 4x – x2

A: Area bounded by a curve y=f(x) on [a,b] is given by, A= ∫abydx

Q: v +3v° dv 35.

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Find your answer below

Q: Suppose that it is given to you that f′(x)=(x+5)(10−x)(15−x) 1.The first inflection point (from…

A: Given that,     f'(x)=x+510-x15-x

Q: 2. ind the length of an arc of the cycloid given by, x = a(0 + sin0), y = a(1 + cos0), Ar

A:

Q: tan3 -dx sec x

A:

Q: Find Duf at P. 2. f(x, y, z) = 6x°y°z*; P(1, – 2, 1); u = i+ 1 Duf = i

A: We need to find directional derivative at p.

Q: The angle of shevation isdegrees loundtoenart )

A:

Q: The series > cos" (2) is divergent. n=1 This statement is true by the test for divergence. This…

A:

Q: b) x = 5 + 4t,y = – 3+ 5t, z = 6 – 4t O (x, y, z) = (4, 5, – 4) + t(5, – 3, 6) ai+ bj + ck = (4i +…

A: We have to find the correct option

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-8, 0,…

A:

Q: In x dx x5

A: Given ∫lnxx5 dx

Q: Consider the following function. ix) = cot Create a table of values for the function. (Round your…

A:

Q: Question Consider the graph of f' (x) shown below in blue. Submit your answer to this question by…

A: 1. How many local minima does f(x) have? Slide the black point on upper left corner of the graph to…

Q: Evaluate/Find the following integrals. 2 -3 dy 4. S 3 2 y +y 1 У

A:

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 8V3 and whose components have…

A:

Q: cot e dv cot ( +9)1-cos? e Irm

A:

Q: (p? –1) cos[cosh (In r)]dr

A:

Q: val [1,5].

A:

Q: Sx*e-2x dx A -2x (2x +4x3 + 6x2 + 6x + 3) + C e-2r (2x* + 4x3 + 6x2 + 6x + 3) + C В - 4 x*e-2x -…

A: Please see the answer below.

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). v = (0, 12) a =

A: We can find the value of a and b as below.

Q: Determine the area, in square units, bounded above by f(r) = x2 + 10x + 25 and g(x) = -x +1 and…

A: Topic = Area The area is 323.

Q: y =f(x) Enumerate all discontinuities of f(x) and identify their types. If a discontinuity is…

A: We have to find the discontinu points

Q: 33. (1 + r)' dr

A:

Q: Find the (natural) domain of the function x + 1 2х — 1 f (x) = Select one: a. (-0, –1] U (1/2, ∞) b.…

A:

Q: 12. f(a) = 2x" -x -3 12. f(x)- x+1 1-1 if x50 13. f(x)3= %D 4x if x>0 14. f(x)= x-1

A:

Q: Given the differential equation x+2 2y ? find the particular solution, y = f(x), dæ with the initial…

A:

Q: 2. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

Q: Determine if the following statement is true or false. The lines L1 and L2 are skew. L:x = 10 + 3t,…

A:

Q: Find an equation of the plane through (-4, 3, –8) that is perpendicular to the line x – 2 = t, y +3…

A: Given line : x-2=t , y+3=2t ,  z=-tx-21=t , y+32=t , z-1=tx-21= y+32= z-0-1 comparing with standard…

Q: Calculus please answer a, b, c, d, and e

A:

Q: アrova solution to if ulx,t)= (sin (x- 6 )-Sin (x+6)) tion equa %3D

A:

Q: (a) x = 6t,y = - 7+ 4t O (x, y) = (0, 6) + t{ – 7,4) ai + bj = -7j + t(6i + 4j) O (x, y) = (0, 7) +…

A: