Find the absolute maximum and absolute minimum values of the function S(2) = * + r f(x) for 1 < x < 4 Absolute max. 5, absolute min. 3 Absolute max. 1, absolute min. 2 None of the above/below. Absolute max. 6e’, absolute min. –2e Absolute max. 7, absolute min. 1 4' Absolute max. 1, absolute min. 5 OAbsolute max. 2, absolute min. O

Q: 3. Find dy/dx x = Vy + Vỹ 1 + Vx 4. Find the second and third derivative of y = 5. Find dy/dx y =…

A:

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

A:

Q: Evaluate the definite integral. e12. i+ k 12 e12 i-elj+; k 12 e12 -1 12 e12. k 12

A:

Q: If f(x) = Vx+3 and g(x) find g(f(x)). Answer 8(f(x)) =

A:

Q: 1 In solving the antiderivative of f(x) = 2 - sin(x) by miscellaneous substitution, the substitution…

A:

Q: 2x 4. Given the function F (x)= 3 do the following: 4.x +1 a. Find F-1 (x). b. Find dom F and dom…

A: Given,            The function is Fx=2x-34x+1.

Q: dy Find if yJx-9 =Xyt2 %3D

A: we have to find dy/dx

Q: S sin²x cos²x dx 1 sin 4x + C 32 O A none of the choices 1 1 ;sin 4x + C 32 8*+3, sin 4x + C O B

A:

Q: (1) Evaluate the triple integral I zyz dV, R where R = {(z, y, z)| 0 < z < 3, -2 <y< 1, 1< z < 3}.

A: We will use simple Integration rules to solve this triple integral.

Q: In S-2 dz 2ydy if we let y=z+4, then the new integral becomes Vz+4 -2 y-2 A True B) False

A: Given ∫dzz+4-2

Q: !. Find the numbers, if any, where the function f(x) is discontinuous. Explain your answer. x + 1…

A:

Q: 10x ME 10. 4+ 25x'

A:

Q: 1 et dx 1 (1 — е*)2

A:

Q: x2 In solving for the antiderivative of f(x) = [4-x² using trigonometric substitution, Jf(x)dx is…

A:

Q: Draw the graph of the following relations and/or functions. Make sure that all "important" points…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: In solving the antiderivative of f(x) = 2 - 3sin(x) by miscellaneous substitution, the substitution…

A: Given: fx=12-3sinx ∫fx=∫12-3sinxdx We know that sinx= 2tanx21+tan2x2

Q: a. Draw the fuunclion y=1x1/

A:

Q: Vx² –25 The antiderivative of dx is x2-25- sec lx+C. A) True B False

A:

Q: If D is the region in the third quadrant between x +y? = 1 and x2 + y? = 4, then using the polar…

A: We have to convert given double integration into polar coordinates integration.

Q: S sec°x tan x dx +C + C sec³x + C

A: ∫sec5x tanx dx=∫sec4x (secx tanx) dxusing formula∫fn(x) f'(x) dx=fn+1(x)n+1 +cHere , f(x)=sec4x ,…

Q: Q3 Find dy tan (X?y) tanx 2 y-(1+x)

A: A detailed solution is given below

Q: (a) Find the unit vector having the same direction as B- A+ 2C. (b) Give the direction angles of B-…

A: We have to solve given vector Questions

Q: Consider the functions f(x) = -2r + 15 g(x) = x² h(r) 16 A graph of the three functions is provided…

A:

Q: d) (i) Use the alternating series test to show that the series converges. k+1 k +3 Σ-) k(k+1) k=1

A: To show that the given series converges using alternating test.

Q: Question 13 - [x²/25+ x²dx , we let x= 5sine. (T True F False

A: We have to find integration

Q: Question 1 half of the circle x +y? = 9. Sketch D, and give D in the polar coordinates. Evaluate the…

A: We will evaluate this double integral using polar coordinates.

Q: Consider a function () whose dertvative ') continuous as shawn below Graph of f'(x), NOT f(x) 1 5 -1…

A:

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

A: Let's find

Q: Find the maximum point for the function f(x) = 1 + 12x – 4x O (-1, -7) O (2, -7) O (0, 1) (1, 9)

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: Question 4 -e-*) dx Evaluate: A '+C 2 B cosh x +C sinh x +C D – sinh x +C E None (F -cosh x +C 2

A:

Q: Find the equation of the tangent line and normal line to the curve ? = √? − 3 and whose normal line…

A:

Q: y" + 4y" + 4y' = 0. %3D

A: Follow the procedure given below.

Q: 2x+1 Evaluate: (3z-1) (포2 + 2z + 2) 2 In (3r- 1)+ In (a+ 2x +2)- 4 arctan (r+ 1).c +C F (1) = %3D 10…

A:

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: Question 5 x² – 25 The antiderivative of - dx is x2 – 25 – sec-lx+ C. True F False

A: ∫x2-25xdx

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) *+ 2y = 3 ,y (0) =…

A:

Q: dy = 2/y- 5In|Vy+5| + C Vy+5 (A) True B) False

A: we will use basic integral rules and the method of integration by substitution.

Q: Find the slope of the tangent line of the function y = In (x) at x = e2 O1/e? 4/et O 1/e* O 2le2

A: Topic = Derivative As per guidelines, At a time only one question can be answered out of different…

Q: Evaluate (s 2'ds Oa 2 1) In2 Ob. 2 (sln2 - 1) (In2)2 O. 2(sin2 - 1) (In2)2 Od 2° +1) In2

A:

Q: Question 6 xdx can be solved by either algebraic subsitution or integrataion by parts. х - 1 T True…

A: We solve it by integration by parts.

Q: Using implicit differentiation, find the slope of the tangent line at the point (9,16) on the curve…

A:

Q: All continuous functions have antiderivatives. If f and g are continuous on a <x < b, then "Ư(x) +…

A:

Q: Let R be the region bounded by y =x+4, y=0, and x=4. Draw the region R, and evaluate the following…

A: Let's find.

Q: Finding an Equation of a Tangent Line In Exercises 85-90, find an equation of the tangent line to…

A:

Q: After appropriate substitution, the integral expression a* (x2 + 4)? dx can be express as (choose 2…

A:

Q: 1 In solving the antiderivative of f(x) = 3sin(x) + 4cos(x)+ 5 by miscellaneous substitution, the…

A:

Q: Qel Find the limis hth G8h alie んう0 2lim 土 2x2_8

A:

Q: Question 8 In |x³Vx2 – 625 dx , if we let x = 25sece , then dx = 25secede. True F False

A:

Q: Find all values of x that satisfy the equation f'(x) = g'(x) if f(x)=sin x and g(x)=cos x. a. * +kT,…

A: Given that     f(x) = sinx and g(x) = cosx  Here we have to find all the values of x that satisfy…