3. Given the equation y = x³ - 3x² + 3, determine all Critical Points and classify using the SECOND DERIVATIVE TEST.

Q: How about number 2?

A: Let's solve two parallel diffrential equation problem.

Q: Show that the differential equation x²y³ + x(1+y²)y' = 0 is not exact, but becomes exact when…

A:

Q: Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its…

A:

Q: ’(x)5 or -60 if x0 if x7 ; F^’’(x

A:

Q: 4) The student population at a certain school here in Dagupan can be modeled by the logistic growth…

A: You must have idea about growth model to understand it better.

Q: e partial graphs of y sin z +1 and y-2sin z +1 are shown below. y 4+ gluxit At F A B yey D The…

A: Given query is to find the solution of the expression.

Q: 2. The NJHS is holding a fundraiser. They are selling lollipops for $2 each. Each lollipops $0.50,…

A: Topic:- algebra  Note :- as per our guideline if more than one question uploaded than only one…

Q: 9. Given a = (1, 2, — 3), b = (- 12, 13, 7) then a + 3b = b. (- 35, 41, 18) a. (-11, 15, 4) c. (3,…

A: 9. a=(1,2,-3)b=(-12,13,7)

Q: Find the intervals on which the function is continuous. 4 y = (x+4)2+8 O a. (-∞, 24), (24, ∞) O b.…

A: Given query is to find the interval where function is continuous.

Q: Solve the following x³-x²-√√2x limx→2²-11x+18

A: Above question is solved.

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A: Cylindrical shell Method : Let g(y) be a continuous function and non negative .Define Q be the…

Q: Find a plane containing the point (6,-7,7) and the line x(t) y(t) z(t) = = = - 2 - 6t - 1 + 5t 5-t

A: Here we have to find the equation of plane

Q: 2. Find the differential equations by eliminating the arbitrary constants of a) y = C₁x + 2² b) y ex…

A:

Q: Suppose that x = 3 tan 8. Find an expression for cos in terms of x. (Hint: Draw a triangle.) 3 a. 3…

A: This question can be solved using the concept of trigonometric identities.

Q: Find the determinant of the following elementary matrix by inspection. 10 0 0 01 0 0 E = 00-70 00 01…

A:

Q: Given the function below, find the point of inflection: y=a* _ 2p2 OP() O P(-1,-1) OP() O None of…

A: Given problem:- Given the function below, find the point of inflection:   y = x4 - 2x2

Q: Find the solution set of the following equation if x € [-2TT,3TT[ [2sen(4x) − 1] × [1 + tan(x)] = 0…

A: We need to find solution set.

Q: x-p In the table, Y, is defined by a rational function of the form p= Use the table to find the…

A:

Q: An 6 in x 10 in sheet of paper is to be folded into a box, with one side open, by cutting squares in…

A:

Q: 2.) ff exdxdy

A: We will solve the problem.

Q: D. Use double integration to find the area of the region R enclosed by the parabola y = 4-x² and the…

A: Let's find area by using double integration.

Q: 13. Evaluate the indefinite integral fx cos x dx x sin 2x cos 2x a. + c 2 x sin 2x cos 4x b. + c 2 2…

A:

Q: Question 6 Find two numbers whose sum is "a", if the product of one to the square of the other is to…

A: Using algebraic operation

Q: Find the Laplace or Inverse Laplace of the following as indicated 4s+12 1. s²+85+16

A: We have to find inverse Laplace

Q: By using double integrals, find the surface area of plane + y² -+z=c that lies inside a a the…

A:

Q: 1. Which of the following is equivalent to 3(x+4) - 6+5x? A. 3x + 12-x B. 8x-2 C. 8x + 6 D. 2x+6

A:

Q: 9. fif broken into partial fractions falls under a. distinct, linear factors b. repeated linear,…

A: You must have idea about basic algebra and partial fraction decomposition to under this better.

Q: …... VOIN'I Select the correct choice below and fill in any answer boxes within your choice. O A.…

A:

Q: Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain of…

A: Note that, an asymptote is a straight line that constantly approaches a given curve but does not…

Q: Find the modular residue of the product. 9,512,667 2,183,321 (mod 5) 9,512,667 2,183,321 (mod 5) =…

A:

Q: 2x² +3 x(x - 1) dx

A: Do partial fraction then integrate

Q: √10-x² x = √10 sine x = √10 cote 15. What trigonometric substitution can be used to evaluate a. x =…

A:

Q: Let f be a function continuous on R and F(x) = x O f'(0) Of(0) ○ 2ƒ(0) O 0 *f(t)dt. Then F''(0) is…

A:

Q: Solve the following. x³-x²-√2x limx→21 x2-11x+18

A: To evaluate the given limit, first, we multiply the numerator and denominator of the given function…

Q: NOTE: Enter the exact answer. [11x + ]dx = 7 8x³ +C

A: Using given rules evaluate the integral following

Q: E) If F(x, y, z) = 3x²i + 3zj - 3xk find the Div (Curl F). 0/0 0/0 0/0= az any jaz V-Vx3 = 0₂ 17 Pue…

A: First we find curlF .

Q: sin² x + cos²x sin² X -dx

A: NOTE: Refresh your page if you can't see any equations. . the given integration is

Q: Solve the following LONG DIVISION 6x³5x249x equation by using + 60 = 0

A: To solve the equation by long division.

Q: A family has a monthly income of $4052. Their monthly expenditures are as shown in the graph below.…

A:

Q: X x² - a² dx

A: To find the value of given integral.

Q: Find the derivative of the function f(x)=(sqrt(x-1)^2))/x^2+1)

A:

Q: Which x-value is most useful in approximating log₁0 88? 0 90 O 100 O 10 02

A: Here, to approximate: log1088

Q: A. Evaluate the iterated double integral. 2 i) ²xye' dxdy

A:

Q: 19. Consider the integral f√x²+25 dx. 9x² a. In/√x² + 25 +x/- - b. x+ In/√x² + 25/+ √x²+25 9x √x²+25…

A: Solve the integral  √(x2+25)/9x2

Q: Let f and g be continuous functions such that: [Fox f(x) = 3 And So, determine the value of: [2f(x)…

A:

Q: The figure below plots the bioluminescence model photon emission rate curve R(t) = At² exp(-Bt),…

A: Here is the solution of the given problem.  we use here Trapezoidal Rule of estimation:

Q: "Si" means "if" The function f is defined as follows: Knowing this, calculate: f(x) = 4x³+ln(3x) si…

A:

Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

A:

Q: 2

A: We will solve the problem

Q: Example 4: Find the equation of the plane through the point (-4, 3, 1) that is perpendicular the…

A: