dy et y = (x³ – 18x)m(=). Find using the method of logarithmic dx - ifferentiation. Express your answer only in terms of x.

Q: ,(KGR) ther wise (a) Calculati te pointwise limit fen)alim fca).

A: Given

Q: Find the distance between the complex numbers in the complex plane. 5i, 6-4i

A: Distance formula in the complex number : d = (c-a)2+d-b2 where a+ib and c+id be given complex number...

Q: Using differentials, determine the appropriate increase in the volume of a sphere if the radius incr...

A: topic- differentials

Q: 1. Describe the graphs of the equation (a) r2 = cos 20 in cylindrical coordinates. %3D (b) p= sec o ...

A:

Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a di...

A: Given query is to find the the center and the radius of the sphere.

Q: Pro Perties: 1-J-n(x)=-1) Julx)→wisinteger ex Ja(X) J-z(X)=(=1) JalX) - Sてと) ex ゴろしてことづる 2) =c Jelx)...

A: In this question we have to find the equation.

Q: Sketch the following, and identify the surface by name. Show all your work, including all traces. x2...

A: solution given below

Q: The Cartesian coordinates of a point R are (0, 0, 3). How can this point R be expressed in spherical...

A: Find your answer below 

Q: 7. Find a and b such that f is differentiable everywhere. f(x) = {+b, S ax³, lx² + b, x 4

A:

Q: Problem Consider the surface defined by f(x, y) = ln(5y – 7.x). Find the equation of the tangent pla...

A:

Q: Find the interval of convergence for the given series. E (n + 7)!(x + 12)" n=0 Select the correct re...

A: Let's find. 

Q: rentiate both sides of the equation with respect to t. dV dh (P) dr +2arh dt dt dt (Type an exact an...

A:

Q: SIT x y z dx dy dz Evaluate 0. O 3 0 4 0 1 O 2

A:

Q: e the definition of error function, prove that %3D

A: Topic:- application of integration

Q: y'=(x^2+y^2)/xy solve using homogeneous equation (diff eq)

A:

Q: 1 x =e" cos v, y=e* sinv uaz == vuv เมื่อ แ =1 และ "= 3 Find และ

A:

Q: 2n3 {(-1"ア+! 十3 n=1

A: Notes:limn→∞an exist if and only if all the subsequence converges to same limit.Suppose, limn→∞an = ...

Q: Let V(t) = t – 6t + 8 represent the velocity after t seconds of an object in meters per second. (a) ...

A: we haveV(t) =t2-6t+8

Q: Evaluate the limit lim sec 3 1→ 10

A: Given problem:-

Q: find the product. leave the result in trigonometric form. [7/4(cos(150degrees)+isin(150degrees)][1/4...

A:

Q: Find fxy(-1, 2) if f(x, y) = 3xy2 - 2y + 5x2y2 O 34 O -28 40 O-32

A:

Q: Set up the itegral that represents the length of the curve for 4=L x4 +L 4x2 for 12x< 2. Do Not eval...

A:

Q: Suppose x = 5, 0 radians and ø 10 20 radians in the figure, which is not drawn to scale. Determine t...

A:

Q: sin t (c) y = 1- cost

A: The given function,         y=sin t1-cos t

Q: Using double integration, find the volume of the solid bounded below by the plane z = 0 and above by...

A:

Q: Find y y=(t + 1}² - /E when t=1. Oa 1.75 Ob35 Oc45 Od.2.25

A:

Q: Write the first five terms of the sequence with the given nth term. = sin 2 %3D 4. 5.

A: To write the first five terms of the sequence with the given nth term.an=sinnπ2  

Q: Write an expression in factored form for the polynomial graphed below. 6+ 5+ -5 -4 -3 4. -1- -2+ -3 ...

A: Given query is to find the polynomial form the graph.

Q: 3.1 dx x² – 25

A:

Q: Find the equation of the normal line to the curve y = x3+ at (1, 4). O a. y = 4 O b.y = -4 OC.x = -1...

A:

Q: Evaluate: A 4e“+C +C +C E) None

A: Given problem:-

Q: Find the derivative of the function. -7 а) у — (2t – 3)2

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: We have to use the Ratio or Root Test for this,

Q: Make an appropriate u-substitution, and then use the Integral Table to evaluate the integral. (b) If...

A:

Q: A curve has an equation of y = x° - 6x + 9x + 2. Find the maximum point of the curve. O (1, 6) O (3,...

A:

Q: り)

A:

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 5+ 4...

A: From the given graph we can see that there are three points at which the given function is zero i.e ...

Q: Use Euler's method with step size 0.2 to compute the approximate y-values y(0.2) and y(0.4), of the ...

A:

Q: 4. A line segment passing through (3, 4) and having its endpoints on the coordinate axes, forms a ri...

A: We have to find x coordinate of above question. 

Q: Solve the following Dife rential equations. 1. (xy+y")y' = y

A: Topic:- differential equations

Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is

A: The equation is y=3x-2x2  

Q: Find the lines that are tangent and normal to the curve at the given point. y = 7 sin (TX - y), (-1,...

A:

Q: My – N. - If Q, where Q is a function of x only, then the differential N equation M + Ny' = 0 has an...

A:

Q: Let f(t) be the temperature at time t where you live and suppose that at time t = 3 you feel uncomfo...

A:

Q: The equation a² + y? + 4z2 = 25 in R° describes

A: We have to describes the given equation in R^3

Q: suppose that f(x) is a function with f(150) = 49 and f '(150) = 3. estimate f(154). f(154) = ____

A: To solve the given problem use the following formula. f(x) = f(x0) + f '(x0) (x - x0)

Q: A piston is seated at the top of a cylindrical chamber with radius 7 cm when it starts moving into t...

A: This is application of derivative problem

Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate...

A:

Q: Given the graph below, evaluate the following limits: y = b Retrieved from:basiccalc_initial_release...

A:

Q: 4. If f(x) is any polynomial of degree 10, then the 9th derivative of f (x) is zero. 5. If f'(0) = 0...

A: A detailed solution is given below