1) Use DESMOS to graph Y = log(x – 3), show critical points. %3D

Q: If VT + Vy = 10 and the point (4, 64) is on the curve, find dy x=4 by implicit differentiation. dx…

A: Given that: x+y=10

Q: 8) Suppose y log3(xy) = y² – 6x. 8.1) Find at (1,3) 8.2) Find the tangent line to the curve at (1,3)

A:

Q: Q2) A: Compute 2 at the point (1, 0) for the function dx S(x.y) = cot(4x + eln(sinzxy)) + sinh(3) +…

A: Consider the given function. f(x,y)=cot-1(4x+ein(sin2xy))+sinh(3)+log2x2

Q: The graph of x3 + y3 = 9xy is the folium of Descartes. Find dy/dx by implicit differentiation.

A: x3+y3=9xy

Q: Q1-Find dy / dx for the following functions : * -2 2.8ln2 Cosh9x, * Inxy 2 Y= 4 3 6. sino 5 log22…

A: We have to solve given problem:

Q: 16. Suppose the radius r, height h, and volume V of a dh related to dt dV cylinder are functions of…

A: Given: A cylinder with radius, r and height, h. The formula for the volume (V) of the cylinder is…

Q: 1) Find dy/dt for if : y = log2 (87ln 2)

A: Apply differential rule to solve 1st question [ln(u(x))]'=1u(x)u'(x) power rule [x(n)]'=nxn-1 Apply…

Q: Give an example of birthrates Ai >0 such that a birth process (Xt)t>0 with birthrates di, i20…

A: The example of birthrates should follow Poisson's distribution where λi are the birthrates, since…

Q: Find dy/dx by implicit differentiation if x^3 + x^3y + 4y^2 = 6 Find y' by logarithmic…

A:

Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

A:

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 ) 1 Add file 2- (3…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the logistic equation that passes through the given point.

A:

Q: dy log x If xY = ex-Y, prove that %3D dx (1+ logx)?

A: Introduction :

Q: In the given question/s, find dy /dx by implicit differentiation :-   x2 - y2 =25

A: Given: x2-y2=25 To Find: dydx by implicit differentiation

Q: f(x, y) = 1/(xy), then the marginal pdf of X is (log x)/y. Is this statement True/False?

A:

Q: Suppose x4 e−4y = ln (xy).Find dy/dx by implicit differentiation.

A:

Q: Find dx y = 4 In x+9 log 4x dy (Type an exact answer.) dx

A: See the details solution in below

Q: Given y implicitly by (xy) +e" = log(x+y)+1. Compute y'at the point (0,1).

A: (xy)2+exy=log(x+y)+1x2y2+exy=log(x+y)+1Differentiate both sides with respect to x.…

Q: If X is an exponential RV with parameter A, find the PDF of Y = -14 In(X). 2

A: Given information: If X is an Exponential random variable with parameter λ. The pdf of X is,…

Q: 23: Find The Domain of the Function. y = sin (log, x²]

A: Given: y=sin-1[log4x2]

Q: 1) Find dy/dt for if : y = log2 (81'n 2)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (b) by using gamma function x-1/3e-Bx dx

A: Gamma function

Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

A:

Q: In(r) Find dy/dx using the method of logarithmic differentiation when y = (4+ 2x²).

A:

Q: A 400 - V, 10 h.p (metric), 3 - phase synchronous armature resistance and a synchronous reactance of…

A: Solution...

Q: If I have 2 for the degrees of freedom with an alpha of 0.05, what would be the critical value of t?

A: we have given that  degree of freedom ( df )= 2  level of significance (alpha)=0.05

Q: 4. y = log,(x* +3x² +1)

A: y = log(x4 +3x2 +1 ) here we use chain rule for differentiation dy/dx = (4x3 +6x )/(x4 +3x2 +1 )

Q: dy for y =loge(l-Sin( 3x) Xア

A: We use chain rule to solve this differentiation

Q: Q2) A: Compute at the point (1, 0) for the function dx S(x,y) = cot 1(4x + em(sin2xy)) + sinh(3) +…

A: Given that, f(x,y)=cot-14x+elnsin 2xy+sin h(3)+log2x2 Which can be re - written as,…

Q: Differentiate implicitly to find dz if xz + In(xy) + = 10.

A: Given an equation We have to apply the implicit differention to the equation

Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = er+1) 3- xy +x*y = 3 at x = 1

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

Q: Determine dydx of function g 1 g(x, y) = cos (Tx/T) + log3 (x – y) |

A:

Q: 04: Find dy/dx for the following function:: (5) y = x³ log₂ (3 - 2x)

A:

Q: What is (V | and find the relative minimum dx point as indicated by the black dot on the graph at…

A: Here we have ;  y=xx ..................(1) taking log both of sides

Q: Given that y = (In(x))²In(), find dy using the method of logarithmic d.x differentiation. dy %3D

A:

Q: Find dy/dx for following: 1- Y= sec\x 2- Y= 2Vx X 3- Y= log2 8

A: We can make it easier for you.

Q: A certain photoelectric devise is sensitive to wavelengths up to 940 nm. a. What is the frequency…

A:

Q: Find dy/dx using implicit differentiation: xe^y − y^2 − x^2 = 2 and Find dy/dx using logarithmic…

A:

Q: Compute dy/dx for y = log3 x

A: Our Aim is to calculate dydx for the function given below:-y=log3(x) -(i)

Q: Question 3 t- State the formula for the approximate integration of f(x) with n = 6 subintervals…

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Q: xy = In (2y) – e

A:

Q: Example 10.33. Applying Euler's method to the equation dy/dx = hy, given y(x) = yo determine its…

A: We need to solve this problem using Euler's Method.

Q: Evaluate S 0 2-9.x² dx using the Gamma function.

A:

Q: dy Find dx by logarithmic differentiation. e2x – 1 y = In e2x + 1

A:

Q: 4. y= log1,(x* +3x² +1) %3|

A: Given: y=log10x4+3x2+1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…

Q: 1) Find dy/dt for if : y = log2 (81n 2)

A: