Use Integration by Algebraic Substitution 3 dx x +1

Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 2, 6, 18,…

A:

Q: ) Find extreme values of f(x, y, z) = x^2 + y^2 + z^2 subjected to the constraint x + 2y + 2z = 12…

A:

Q: D9/2.c

A:

Q: 16. If r'(t) is the rate at which a water tank is filled, in liters per minute, what does the…

A:

Q: 0 1 7) [ [ysin x dxdy -1 -y

A:

Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

A:

Q: If f(z, y) = e" sin(4y) then: V f( – 1, 1) =

A: Given function is f(x, y) =e4xsin4y.  We have to find ∇f(1, -1 ). The vector differential operator ∇…

Q: rable below shows interva IS where f(x) and f"(X) ure Positive und negati ve. COpy the áxis beluw,…

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: Convert to a rectangular coon 12. (3,*)

A:

Q: Which of the following statements involving sigma notation is always true? η η η Α) E (ak bR) = E…

A:

Q: Find the most general antiderivative. 4) (15+ e2t) dt. 16 e2t A) B)+ 202t + C e3t +C +C 27 e2t +C

A:

Q: 11. y = x + Vx

A:

Q: Find the rate of change of the arts of a rectangle at the moment when it’s sides are 40 meters and…

A: We have to find the rate if change if rectangle area.

Q: Suppose that f(z, y) = x² – zy + y? – 5æ + 5y with z + y? < 25. 1. Absolute minimum of f(x, y) is 2.…

A:

Q: Supply the missing integrand and limits of integration. (3x² – 2xy + y³) dx dy = .dy (36–4y)dy (56–…

A:

Q: fin the area bounded by y=x^3+1 and y=x+1

A: topic - area bounded by curves

Q: Use the specified substitution to find or evaluate the Integral. (Use C for the constant of…

A:

Q: 2. Find the volume of solid generated by revolving the area bounded by x=y²+2 , x=0 and y=2 sbout:…

A: Solution is here

Q: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.   Please put a…

A:

Q: How many radians has the hand of a clock turned from 12:00 to 4:00?

A: A clock is divided into 12 sectors and each sector is represents an angle of (2π/12) = π/6 rad.So,…

Q: d (32) Find the derivative: dx rcos(r) V1- t?dt

A:

Q: 4. Solve 5x3 - 3x2 – 32x – 12 = 0

A: We have to solve the equation

Q: QI) Use Taylor series method to comp ute x(0.2) and given that d'x xdx _4x =0 ,x(0)=1, (0) = 2 dt dt…

A: Taylor Series is given byf(x) = f(a) + (x-a)1!f'(a) + (x-a)22!f''(a) + .....i.e. f(x) ≈ f(a) +…

Q: Find the linearization L(x) of the function at a.

A: Use the derivative for finding the linearization of function

Q: 2. Which cannot be represented by a scalar? a. speed b. velocity с. area d. mass

A:

Q: (D² +4)y = 4cos x

A:

Q: The function s(t) describes the motion of a partide along a line. s(t) = t- 14t + 21 (a) Find the…

A: (a)  vt=dsdt      =dt2-14t+21dt v(t)=2t-14 (b) Positive direction denotes, v(t)&gt;0 ⇒2t-14&gt;0…

Q: (23) A right triangle with a hypotenuse of 6 inches is rotated about one of its legs to generate a…

A: Use volume of right circular cone and differentiate it

Q: Find the Rlemann sum for f(x) = x + 3x over the Interval [0, 8] (see figure), where %3D *. = 0, x, =…

A:

Q: sec x lim X0 n x

A: Here we have to find the limit.

Q: Use synthetic division to divide f(x) by x- k for the given value of k. Then express f(x) in the…

A:

Q: Completely factor the polynomial f(x) = x +7x? + 10x.

A:

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hoptal's Rule. 3(x-7) Iim x…

A:

Q: -2ln(cosx 03. lim,0 .2

A:

Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use or-w, enter INFINIT x -…

A: we have to find the limit

Q: Find the differential dy of the glven function. (Use "dx" for dx.) 7 y = 3Vx + dy =

A:

Q: 9. A rectangle is formed in R² by the vectors OA = (1, 3) and OB = (6, –1). a) Calculate the…

A: a)Given OA=i+3jOB=6i-jSince OC is diagonal of parallelgram ABCDOC=OA+OBOC=i+3j+6i-jOC=7i+2j

Q: Consider the following function. f(x) = (11 - x)(x + 1)2 (a) Find the critical numbers of f. (Enter…

A: Here we have to find the realtive extremum.

Q: Find dx e+5 For the toolbar, oress AL TaE10 (0g

A:

Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

A: Differentiate wrt x

Q: - Find the area bounded by: y=x'+1 and y=x+1

A:

Q: The amount of chemical that will dissolve in a solution increases exponentially as the temperature…

A:

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Natural length = 2 x1=2-1.5=0.5x2=2-1=1

Q: Which of the following is an identity? A sec(t) = cot(t)csc(t) B cos(t) = sin(t)cot(t) B sin(t)…

A: Find the identity

Q: wa’y+ xy + tan (wx) = Z

A: Given that,    z=wx2y+xy2+tanwx

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: Convert to a polar 13. (0,-4)

A: Given, (x,y)=(0,-4)

Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

A:

Q: 15. The graph of f(x) is shown below. Use it to evaluate S(x)dx Area7 Area4

A: