x? — х -2 lim 2 x +3x + 2 X→-1 X

Q: 3 is a local extrema of the function f(x) = (x – 3)5 +1. Select one: O True False

A: fx=x-35+1

Q: 4. S (sint + cost t ) dt A - cos t + sin t + C C - cos t- sin t + C B cos t+ sin t + C D cos t- sin ...

A: 4. In this question, we need to find the integral.

Q: - 2ry? = 0, y(0) = -1. The interval I of definition os (D) (-∞0, 0).

A:

Q: The first federal minimum wage was established in 1938 at $0.25 per hour. Since then, the hourly fed...

A: This question can be solved by applying the formula of average growth rate.

Q: 2. S 1 dx | (2x + 1)3

A:

Q: Consider the function f(#) For this function there are two important intervals: C 4x 42 and (A, x) w...

A: Here, the given function is: f(x)=2x+54x+2

Q: 9tind the voleime of the s0lid generated by revolving the region bounded by the given lines and curv...

A:

Q: 2. Create one function containing the following characteristics: a. Removable discontinuity at x = 2...

A:

Q: 1 Draw the region over which we are integrating, change the order of integration (that is, write thi...

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A:

Q: The rate (in mg carbon/m/h) at which photosynthesis takes place for a species of phytoplankton is mo...

A:

Q: Dialysis treatment removes urea and other waste products from a patient's blood by diverting some of...

A:

Q: The olid lies betcween planes perpendicular 4o the X=axis at x=0 and X=7,The Cross sections Perpendi...

A: Concept -we have a given two plane and perpendicular to x axis from x=0 to x=7 , We have to find sol...

Q: integration by substitution x(2x2+1)6dx

A: Substitute , 2x2 + 1 = t.

Q: x - 2 Draw a sketch of the graph of the function f(x) = - x² -1 if x 0 (a) lim f(x); (b) lim f(x); ...

A: Function is not continuous at x=0 

Q: Question (see above) EXAMPLE ONLY: 3. x? + 5x – 5 on [-6, 2] Proving that the function f(x) = x? + 5...

A: Solution is given below:

Q: A particle is moving in the velocity of v(t) = . Find the torsion of the particle's movement. Leave ...

A:

Q: dz az B. Find əx and ay 3. x eY+ cos xy36xz+5x²

A: partial derivative

Q: 1. Find the first derivative of the function g(x) = 6x+ 27r'+36x. g'(x) 18x + 54r +36 2. Find the se...

A:

Q: 13. Evaluate the given integral by converting to polar coordinates ez²+y² R = {(x, y) : a² + y? < 3}...

A: Given

Q: Next, use the substitution w = x² – 9 to find the integral: SZ, da = S 1/w dw = In(w) +C = In(x**2-9...

A:

Q: Sketch the region bounded by the graphs of the curves y = V+ 4, y= 4 – x, and r= 4. Then find the vo...

A: Given :    y = √x + 4     y = 4 - x     x = 4   Volume about x = 4

Q: 39. Find the value of a so that the function f(x)= xe" h = Te has a critical point at x = 3.

A:

Q: Linear Approximation a) Find the linearization (L(x)) of f (x) = V1 + x at x = 3. b) Use L(3.2) to e...

A: L(x) = f(a)+f'(a)(x-a).

Q: solution using Integrating Factors Found by Formulas  xydx − (x^2 + 2y^2 )dy =

A:

Q: Find the length of the curve y = x3/2 from x = 0 to x = 3.

A:

Q: Use the method of Frobenius to solve the given equations. a) 2x?y" – xy' + (x² + 1)y = 0 b) 2x?y" + ...

A: Since the solutions of the given equations are very lengthy in Frobenius Method , i gave the solutio...

Q: Find the derivative of the following functions using the increment method. *b. f(x) = 6- Зх 1 *а. f(...

A: Topic:- derivatives

Q: Question Find the derivative of f(x) In (3x³ + 2x²). Provide your answer below: f'(x) = O

A:

Q: function

A:

Q: Consider the set of 21 consonants and 5 vowels.  How many distinct arrangement of 8 letters are ther...

A:

Q: c. Evaluate the integral. 4 c3 4. S S(x² + 3xy²)dxdy

A:

Q: Consider the following curve. RO) = Determine the domain of the curve. (Enter your answer using inte...

A: Given f(x) = x-3x2  to find local minimum values, find the values of x when f'(x) = 0

Q: 19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y +z, su...

A: Let us construct the Lagrangian function, L(x,y,z)= 4x+2y+z+λ(x2+y+z2-1), λ is a constant. To get ex...

Q: Evaluate the integral using formula was (from the 1page differentiation & integration formula) by le...

A: Hint : 1. Use substitution : ex = t. This integral will turn into a standard Integral.

Q: 8. S Ve3x dx A 3 3 2x e3* + C 2. 2 e2* + C 3 B e 3x. e* + C

A:

Q: y''-4y'+20y=x^2e^(-2x)sin(4x)-3cos(4x)-xe^(-2x)

A:

Q: 3. S 2r dr

A:

Q: . Find the length of a radius of a circle with a central angle of 3pi/5 and an arc length of 24pi/5.

A:

Q: Exercises Find the solution of the following Differential Equations 4) x'y' = y +5xy + 4x y+x 6) y':...

A: (4) this is a homogenous equation.  Put y=vx  According to guidelines we solve only first question. ...

Q: Watch the video on integrating an inverse trig function using trig substitution e before answering t...

A:

Q: Arithmetic progression (application) 1. What is the first term if the 6th term of an arithmetic seq...

A:

Q: What is the area of the shaded region? y = 2 2 x = TT y = 1 + cos x

A:

Q: 6х2-17х+25 10. S: (х-1)(х-2)(х-3)

A:

Q: 16. Consider F(x) = dt. Find F"(x). 1 2 1 (A) I+8x (B) 1+2x (C) 1+ 8x (D) 1+8x

A:

Q: S x²dx =?

A:

Q: EX8 Find the area of he s had ed of fig show bolwo useng dxdy y = 1+x² x = 1 x = -1 - D x = y² y = –...

A:

Q: Watch the video on integrating an inverse trig function using trig substitution e before answering t...

A:

Q: 8 Set up surface aenerated by revolving the given. Curve about the indicated axis, an integral for t...

A: y=x3, 0≤x≤2, about x-axis

Q: Evaluate the integral. sec3xdx A In sec3x+ tan3x+c There is no correct answer from the given choices...

A: