24 – 44 dy 2+ 4y с.

Q: 7) For each set of parametric equations, eliminate the parameter and find a corresponding…

A:

Q: 21. 3* 3=*-x+'(12x² – 4) dx

A:

Q: n²2" n=1 a) Show that the series is convergent

A:

Q: x3 (x2 + 1)3 dx

A:

Q: Part 2: Differentiate the following functions. Show your complete solution. 1.) f(x) = (x +3x)1000…

A:

Q: Find the absolute maximum/minimum value for f(x)= x² – 4x +1 on the interval [-3, 3]

A:

Q: S cosh(5x – 7) dx

A: The given integral is:∫cosh5x-7dx

Q: (1- sin@) ) (1-sini (It sine

A: Given: I=∫dθ1-sinθ1+sinθ   As we know that; The trigonometric identity: 1). sin2x+cos2x=1 2).…

Q: q. [sec' x/1 + tan x dx

A:

Q: The value x = a is a critical number for f (x). Classify a as a local maximum, cal minimum or…

A: Given f(x) = x^3 -12x^2 Also given x=8 is critical point  now we have check at x=8 has maxima or…

Q: sove the fowowing, using Lagrange Multipiiers: Maximize flR, Y. 2) solaject to x2 + Ax + a4 t 2 + 2…

A:

Q: II. Find the equations of the tangent and normal lines at the point indicated. a. 7x - 6V3ry + 13y -…

A: Solution is given below:

Q: L x² cos 2x³ dx? After substitution is performed, which of the following is equivalent to

A: Given that the integrals  To find the evaluate and choose the correct answer

Q: A line is given by the equation y = x in rectangular coordinates. V3 Which of the following…

A:

Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x? such that f(0)…

A: The given problem is solved below in detail..

Q: 12. y" +y = séc' x tan x.

A: Let's find.

Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

A: We will find the second derivative.

Q: Evaluate the definite integral 9 6x² + 6 dx 35 X o 588.65298705274 3

A: We know, ∫xndx=xn+1n+1+C, C is a constant for any real number n.

Q: 1. (sin x(cot x) = cos x OSX L.S. R.S.

A:

Q: 2х +1 f(x) = 4х-2 е.

A:

Q: Graph the feasibie region for the system of ineualities y-3 y-3x+5 Use the graphing tool on the…

A: The solution to this question has been provided both on graphing tool desmos on on sheet of paper…

Q: dy Suppose that x and y are related by the equation 2x - y = 1 and use implicit differentiation to…

A: The given equation 2x2-y2=1

Q: Solve the second derivative(y") of the following

A:

Q: Let F(x) = You also know that a = 10, f(a) = 2, f'(a) = 15, f'(aª) = 11 f(x*) and G(x) = (f(x))“ .…

A:

Q: Show that the function f defined by 1. (x, y) = (1, –1) f (x, y) : x² + y .2 (x, y) + (1, –1) x + Y…

A:

Q: 17. The base of a triangle is increasing at a rate of 2in/min. If the altitude is always twice the…

A:

Q: dy Use implicit differentiation to find dx 2x - 5 3y? 2x +5 dy dx

A:

Q: Jasmine builds tool sheds. She uses 10 sheets of drywall and 15 studs for a small shed and 15 sheets…

A:

Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

Q: Find the length of the curve 7(t) = (4t, In(t), 4t²) for 1 <t< 4 Add Work Submit Question

A:

Q: Use the accompanying graph of y = f(x). Does lim f(x) exist? If it does, what is it? x-4 (6, 2) (10,…

A: We need to find limit.

Q: P3: | tan3 3x sec 3x dx

A: To evaluate: I=∫tan33x sec63x dx Substitute 3x=u⇒3dx=du⇒dx=du3 then: I=∫tan3u sec6u du3=13∫sec5u…

Q: y cos x+sin y+y 0. Solve the following dx sin x+x cos y+x differntail equation 1.

A:

Q: 2) z= (1+t²)(3 - 2y); z' Ans: z' = -2(3t? + 3t + 1)

A:

Q: Find the length of the curve z(t) = e“ cos(t), y(t) = e“ sin(t) for 0<t<7. %3D Give an exact answer,…

A:

Q: k. f(x)=cosh(x³)+ sinh(10x) 1. f(x)=In(x* +1)

A:

Q: Solve using product rule d(uv) = u dv + v du: f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A:

Q: Part 4: Solve the following problem. Show your complete solution. 1.) Find the equation of the…

A: A detailed solution is given below.

Q: Complete the equation. V-14x ). arccos X- 7 = arctan 7 <x < 14 7

A:

Q: Find the indefinite integral. (Use c for the constant of integration.) (2ti + j+ 6k) dt

A: Given query is to find the attached integral of the expression.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim t-0 eSi + sin(2t). -) +…

A:

Q: 1. 2 Vĩ-

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1 dx x(x3000+1)

A:

Q: 6. sech(4x) tan (4x) dx

A: We need to evaluate integral.

Q: The equation x² + y2 = 25 has O a center at (0, 0) and a radius with a length of five units. O a…

A:

Q: x-1 y = log, x+1

A: We know, ddxlog(x)=1x ddxu(x)v(x)=v(x)u'(x)-u(x)v'(x)v(x)2 log(ab)=log(a)-log(b) log(a)n=n*log(a)

Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A:

Q: f f(x) = 3xm(=), find f'(8). %3D

A: Given query is to find the derivative.

Q: Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: To find the smallest distance from the given point to the surface.

Q: Given a non-exact differential equation(x - sin?y)dy + sin y dx = 0. Find two integrating factors.

A: