Find the x-value of all points where the function has relative extrema. Find the value(s) of any relative extrema. 15) f(x) = x3 – 3x2 + 1 A) Relative maximum of 1 at 0. B) Relative maximum of 0 at 1; Relative minimum of -3 at -2. C) Relative maximum of 1 at 0; Relative minimum of -3 at 2. D) No relative extrema. 15)

Q: Q: Find the inverse (by any method you want) of the following matrix 31 1 4 3 1 3 4]

A:

Q: uestion 9 Saved t is possible for y = f(x) to have an inflection point at X = A even if f (a) is not…

A: Given query is to find that statement is true or false.

Q: If the region R is bounded between two circles 961 x² + y? = 4, x² + y? then we have: 2л 3 sin(Vx2 +…

A:

Q: Evaluate the integral. 28) 335 B)- 215 A) 325 D) 36

A: Given:      ∫05  3x2 + x +6 dx

Q: . 2 28x -15x dx 4x + 7. +C %3D

A:

Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1

A: ∫xdxx-1

Q: S tan³ x sec x dx sec3 x - sec x + С none of the choices sec³ x + sec x +C 1 sec3 x + sec x +с В

A:

Q: A rectangular garden is to be constructed using a rock wall as one side of the g and wire fencing…

A: We are asked to find dimensions of the rectangle.

Q: X Sin(x?)dx evaluate the definite integral

A:

Q: In fx³Vx²-62 625 dx , if we let x = 25sece , then dx =25secede. True False

A:

Q: solution

A: We have to choose the correct option from the given options according to the given information

Q: Determine whether the following series converges. Justify your answer. 00 3k° +k Σ 2k° - 2 k = 1

A: To determine whether the given series is convergent .

Q: Use the Comparison Test or Limit Comparison Test to determine whether the following series…

A:

Q: In each of the problems, solve the given differential equation. 1. y` = 1 + x + y2 + xy2 2. y` =…

A:

Q: S tan?x secs x dx 1 х + Ос none of the choices 1 -sec"x + sec*x + C + C O A B.

A:

Q: Find the derivative. 8) y = (x + 1)2(x2 + 1)-3 dy dx dy = -2(x + 1)(x2 + 1)-4(2x2 + 3x – 1) A) B) Y…

A: We can find the correct answer as below.

Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A: We have to find an expression for the area under the graph of f as a limit.

Q: Given (x + 4)(x – 2) f(x) = x2 —2(х — 8) - f'(x) = x3 4(х — 12) f"(x): - x4 (a) Find the domain of…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: Work Problem 1 [With integrity statement] (! Let R be the region bounded by y=x+ 2, y 0, and x=2.…

A:

Q: 5xy = 4x²z – 3yz2; yx and y,. -

A:

Q: csc*n y 7. S dy cot²n y

A:

Q: 4. Find an equation of the tangent plane to the surface x = u? + 1,y = v³ + 1,z = u + v at the point…

A:

Q: Solve the following Initial Value Problem: y"+ 16y 0, 2 and y'()= 5. %3D

A: y''+16y=0Auxillary equation ism2+16=0m2=-16m=±4iGeneral solution isy=C1cos4x+C2sin4x

Q: The graph of a function f is given. (Let a = 1.) 0 1 8. (a) Estimate f(x) dx using four subintervals…

A: We have to estimate the given integral.

Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is V4- x²…

A:

Q: Graphing a region and finding its area. 1. Sketch the region and find the area of the region bounded…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: An environmental protection agency discovered in the beginning of 2009 that a waste dump has been…

A: Let's find

Q: characters. And, DO NOT include dy/dx in your answer. * dy given x = sin (x+ y). dx Determine

A:

Q: S tan³ 6x sec10 6x dx 1 sec1²6x + sec1º6x + C 72 1 60 B none of the choices 1 -sec1²6x + 72 1 1…

A:

Q: I need help with this problem. Thank you. Consider the indefinite integral ∫x2(x3+6)3…

A:

Q: Sketch the region of i nd change the order of integration ntegral 9. 3 f(x, y) dydx

A:

Q: Sy+1-2dy can dy = 4x(x²+2)dx. be evaluated conveniently if we let x VVy+1-2 and True False

A:

Q: Evaluate the following limits: V10 + 6х — 2 (a) lim x→-1 x2 – 2x – 3 1 – sin(x) (b) lim x→5 (2x –…

A: Use l hospital rule for finding the limit.

Q: •4 b (3x – 4)° dx = || f(u) du where (enter a function of x) = n dx (enter a function of x) — пр a =…

A:

Q: Determine integrals for the area of the shaded region given the following figure. In part (a), give…

A:

Q: Find the derivative of the function f(x) = csch () () -2 coth csch 2 2 -2x coth csch -x coth csch 2…

A: L

Q: In x²/25+ x² dx , we let x=5sine. A True

A:

Q: If y = x + ex, find dx/dt.

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

Q: The issue of convergence or divergence of some series can be answered by several different…

A: NOTE:- AS PER BARTLEBY GUIDELINES, WE WILL ANSWER ONLY FIRST THREE PART OF THE QUESTIONS.

Q: Work problem 2 " ) You must provide clear and detailed solutions for each of the following…

A:

Q: dx J Evaluate: (x-4)(x-1) A None of the given choices 1 B x-1 +C X-4 (c) x-1 3ln X-4 + C 1 D X-4 + C…

A:

Q: 9 – 4.x² -dx Evaluate: 9 – 4.x² – 2 sin () +C A f (x) = - B /9 – 4.x² + 2x sin- () +C f (x) = f (x)…

A: ∫9-4x2x2dx

Q: If f(x) = 2x + Ax + Bx – 5, find the value of B when f(2) = -3 and f(-2) = -37 %3! %3D

A: Follow the procedure given below.

Q: 6 If x=25eco, y=4tan8. Evaluate dy where B= Lrad Ans/-0.2647

A:

Q: The general solution of the second-order linear homogeneous differential equation y" +6 y=0 is y=…

A: Let's find.

Q: Prove the product rule of differentiation.  That is prove that if p(x)= f(x) g(x), where  f(x) and…

A:

Q: evaluate intelga)

A: Consider the integral  ∫1x3dx

Q: S sin°x cos³x dx 1 2 1 sin'x +sin°x - sin'"x + C sin'a +sin'x +sin"x +c B 1 sin'

A:

Q: Find the general solution of the differential equation. y(4) – 6y(3) + 9y'" = 0 ... y(x) =

A:

Q: If f(x,y) = x3y + exy^2, find the derivatives of df/dx and d2f/dxdy.

A: