If x? + y? = 100 and dy = 8, find dt - when y = 6. (Enter your answers as a comma-separated list.) dt %3D dx -6 dt Need Help? Read It Master It II

Q: +00 1 4n2 – 8n + 3 n=1

A: The given series,       ∑n=1+∞14n2-8n+3

Q: +oo 4 Determine if the series > converges or diverges. If it converges, find its sum. n² + 4n + 3 n=...

A: We will solve this question using limit of comparison test.

Q: Find any horizontal and vertical asymptotes for the function. (Enter your answers as a comma-separat...

A: Given y=x+1x2-16 We have to find horizontal and vertical asymptotes.

Q: Find ag and an for the following geometric sequence. a4 = 8, r= - 2 Find a, for the geometric sequen...

A: The objective of the question is determine the a5 for the geometric sequence.

Q: Question Select your answer. x + 2 Find the derivative of f(x) = with respect to x. 3x 2 9x 2x – 6 9...

A: Solution:

Q: (lx] + 3 , ={-2x (6x +2, I<-3 Q4) Check the continuity of f(x) - 3 <x< 3 x2 3

A: topic - limits and continuity

Q: 13. Find the length (units) of the arc of the curve 8y = x* +; from x = 1 to x = 2. 35 а. 16 33 33 b...

A:

Q: 10- y 8- 2-

A:

Q: 15. Challenge Problem: Find the value of k for which the following limit exists. 4x2 + kx - 27 lim x...

A:

Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A:

Q: Use the given information to find f '(2). g(2)  =  5   and   g'(2)  =  −3 h(2)  =  −1 and h'(2)  = ...

A: The objective of the question is evaluate the given composition of function at given point.

Q: Find the area of the surface obtained by rotating the curve y = 5x° from æ = 0 to æ = 9 about the x-...

A:

Q: Question Select your answer. Find the derivative of f(x) = -x² + 4x + 3 with respect to 4x + 2 x. -2...

A: Let's find. 

Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?

A:

Q: IV. Find the equation of a line passing through (-1,4) and perpendicular to the line x+5y-4=0. V. Fi...

A:

Q: Find the least amount of different numbers to pick from positive integers that are at most 100 to gu...

A:

Q: Find the domain of the function using interval notation.   f(x)=−2x(x−3)(x−5)

A: Since f(x) = -2x(x-3)(x-5)  is a cubic polynomial. And we know that the domain of all polynomial fun...

Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) 3 1 4 2 1 4 2 3 4 1 4 2 (x),6 3. 2...

A:

Q: 2x² +3 dx x(x – x(х — 1)2

A: Find your answer below 

Q: Solve the differential equation by using integrating factors. y' = 6y + 5 y(x) =

A:

Q: Q1/ sketch the region bounded by the curves. Then express the region's area as an iterated double in...

A: We have to sketch the region and find the area by using double integral.

Q: Question Select your answer. Vhat is the equation of the tangent line to the function F(x) = x? + 2x...

A:

Q: cossy sin³y dy 11. 1 а. 2 b.20 C. 20 d. none of the choices

A: ∫0π/2cos5y*sin5y dyWe know that cos2y=1-sin2y=∫cos(y)*sin5(y)(sin2(y)-1)2dy  Substitute u=sin(y)→dud...

Q: The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 30 u...

A:

Q: Find the fifth term and the nth term of the geometric sequence whose initial term a and common ratio...

A: topic - geometric progression

Q: Find the derivative of the following functions. Show your solution.

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as ...

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 x = -(y2 + 2)3...

A:

Q: Given the function f(x) = x – 15x², find all x-values where f has an inflection point.

A: Solution is written in below steps.

Q: 7. Read about the Integral Test in Section 11.3 and, specifically, through example 2 to see how the ...

A: Given problem:-

Q: The number of computers N (t) (in millions) infected by a computer virus can be approximated by 2.2 ...

A:

Q: Evaluate (x+1)2 In3x dx Then, write the coefficient of the integral: Blank 1(*+1) ³ In3x + Blank 2 x...

A: topic - indefinite integral

Q: Question Select your answer. Find the derivative of f(x) = 5/x with respect to r. 2x 5 Answer

A: Given :f(x)=5xf(x)=x2+5x 

Q: 3. Find the constant a so that o(x) = re2 is a solution to y+ay- e =0. 0 4 O 3 0 1

A: ϕ(x)=xe2x is a solution to y'+ay-e2x=0

Q: Find the linearization of the function z =/ at the point (-5, 1). L(1, y)

A:

Q: Water is leaking out of an inverted conical tank at a rate of 7,000 cm³/min at the same time that wa...

A:

Q: The angle between the vectors = (6, -2, 3) and 7= (1, p, -2) is cos Determine the value of p.

A: Given:  The angle between the vectors a→=6, -2, 3 and b→=1, p, -2 is cos-1-114. To Find:  To determi...

Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to x hundre...

A: Given query is to find the rate of change of supply.

Q: Now that we have practiced finding our eigenvalues 1-R 2 becomes has eigenvalues R, = 2 and R, = - 3...

A: Given the matrix and its eigenvalues3-32-4 becomes 3-R-32-4-R has eigenvalues R1=-3 and R2=2.To find...

Q: x In(2 + x³) dx

A: Topic  = Integration

Q: Find the expression of the general term of the sequence given by: 2 4 8 1, 2'6' 24' 120’ 720 16 32

A:

Q: Solve the initial-value problem by using integrating factors. xy' = y + 4x ln(x), y(1) = 3

A:

Q: Find the equation of the surface of revolution generated by rotating the hyperbola x^2 - y ^2=1 , ar...

A: \ Revolution of the hyperbola about its transverse axis generates a surface of two sheets, two sepa...

Q: Given the following matrix and its eigenvalues -27 3 2 1. Find the two eigenvalues for the matrix 2....

A: a) Eigenvalues: λ1=5λ2=-5 b) Matrix of eigenvalues For λ1=5 -773-3 For λ2=-5 3737  

Q: Evaluate the integral -drz.

A:

Q: determine whether the sequence {√ n+2 - √ n+1} is convergent or divergent

A:

Q: Given the following matrix and its eigenvalues 3 4 6 -7 1. Find the two eigenvalues for the matrix 2...

A: Given

Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x2 = 8y, th...

A:

Q: Determine if the provided sequence is divergent or convergent

A:

Q: Give the equation of the horizontal asymptote, if any, of the function. g(x) x2 + 8x - 3 x- 3 Oy=0 O...

A: Since, when the degree of numerator is greater than degree of denominator by one then there is no ho...