A. Set up the double integral | |(2? (x2 + y)dA where Ris the region above the x-axis bounded by the lines y = x +1 and y = 1 – x. Draw the region R. SET UP ONLY. DO NOT EVALUATE.

Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: x*- 2x³+x² xdx

A: ∫x4-2x3+x2xdx ∫x2x2-2x+1dx ∫x2(x-1)2dx ∫x2(x-1)dx ∫ x3 -x2dx x4/4 -x3/3 +c

Q: You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the 4…

A:

Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

A:

Q: Cansider the Relmann sum for (x) = x+ 3x over the Interval [0, 8] (see figure), where *. =0, , = 1,…

A: Consider the Reimann sum for fx=x2+3x over the interval 0, 8 shown in the figure, where x0=0, x1=1,…

Q: 1. Solve the equation: (4D4 – 4D³ – 23D² + 12D + 36) y = 0 O y = cje* + c2xe2" + c3e¯7 + c4xe¯i O y…

A: The given equation is: (4D4-4D3-23D2+12D+36)y=0...(1)

Q: 3.f(x) = (2x+3 if x =1 2 if x=1 4. (x)= {3+x if x s1

A: (3)f(x)=2x+3 if  x≠12     if  x=1limx→1-f(x)=limx→1-2x+3=5limx→1+f(x)=limx→1+2x+3=5f(1)=2it is…

Q: 4t + 98.6, where T is the temperature, in degrees Fahrenheit, at time t, in hours. 2+1 AT(t) 102+…

A:

Q: 4. S cot?x csc x dx

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost other…

Q: (y®+ 4y³-Ay) dy y2+10 6. ,3.

A: LetI=∫y5+4y3-4yy2+10dyI=∫y5y2+10+4y3y2+10+-4yy2+10dyI=∫y5y2+10dy+∫4y3y2+10dy-∫4yy2+10dyTake constant…

Q: Evaluate the integral 1

A: We can solve this as follows:

Q: Find the general solution of cos x dy + (y sin x – 1) dx = 0

A:

Q: The volume, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is 100n 100/9…

A:

Q: Convert to a polar coordinates. Show work. 13. (0,-4) |

A: polar coordinate

Q: 3. (a) y(8) when y=cos 2x 2 (b) y(9) when y=3 cos t 3

A:

Q: 3. (a) y(8) when y=cos 2x

A:

Q: Where on the curve of 1 does the tangent have the greatest positive slope? y = 1+ x? O 1) 3 3 O 2) 3…

A:

Q: 17. If you know f(0) = 625 and f (4) = 16 then: %3D %3D (a) Find a formula for f(x) assuming that it…

A: 17.A function satisfies that f0=625 and f4=16

Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: Use the theorem of Leibniz in the following problems: If y=x³e2x find y(m) and hence y(3). julm) =…

A: Leibniz rule states that (f(x)⋅g(x))n=∑r=0n Cr nf(n−r)(x)⋅gr(x) Let fx=e2x and gx=x3

Q: 18-19. In xy = 4, let x and y be differentiable functions of t. Evaluate at x = 10 and = 20. dt dy…

A: A detailed solution is given below.

Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer:

A: Solution is given below:

Q: Suppose f(x, y) = (2æ)" + 3y". Find f# (1, 1), fy(1, 1), and fyy (x, y)

A:

Q: x² – 2 (x + 2)(x + 1)² 1 + x + 2 x + 2 (x + 1)? x + 1 (x + 1)² Option 1 Option 2 1 1 2 1 x + 2 x +1…

A: The given expression is; x2-2x+2x+12   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: 3. Solve the equation: (Dª – 1) y = 0

A:

Q: 1 11. lim, -2 Inx x-1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A woman 1.5 m tall walks directly away from a street light which is 6 m above the ground at a rate…

A:

Q: Using Wallis formula, find the integral of the expression. Answer in fraction form, no units, no…

A: Follow the procedure given below.

Q: 18. Convert 5 radians into degrees. First find the exact answer (no decimals or rounding, please).…

A:

Q: 9. A boat floating in the sea rises and falls with the waves. A sailor on the boat will also rise…

A: Given, f(t)=12sin(pi×t/4) +8 where t is the time measured in seconds f(t) is the tailor's altitude…

Q: 8. The price-supply and price-demand equations of a certain product are given by p = S(x) = 15 +…

A:

Q: tan e de sece+ 4 cos € COS

A: The given integral is tan(phi)/[sec(phi)+4cos(phi)]

Q: Activity 2 Read and analyze the problems carefully and do as required. 1. Starting from the same…

A: dr/dt=60 cm/s And dn/dt=80 cm/s.

Q: 3. 2x°- 2x) dx x²+10 2 t1o

A:

Q: 7. Evaluate the following. 2 erty? + 29)dy dz A. 30 5.4 B. C. 2.3 D. 4.9

A:

Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

A:

Q: 12. Solve 2cos²(20) = 1. List the solutions that are: 0 < 0 <n %3D

A: Here, the given equation is: 2cos2(2θ)=1⇒cos2(2θ)=12⇒cos(2θ)=12 or cos(2θ)=-12

Q: The position of a particle in meters at time, t, seconds is given by s(t) = cos2(3t). Find the…

A:

Q: 3. S sin x In(cos x) dx

A: According to company rule, we can answer only first question.

Q: 25n Evaluating sec will yield to 6 V3 A 2 2/3 B 3/3 © - 2 V3 D 2.

A:

Q: 2х— 10 x2 — 2х — 3

A:

Q: ди ди ди I. Find , and (whenever possible) for the following functions. az дх ду 1) и %3 Зх?у +…

A: Given problem:- 3) u= x/y +2y/z -3z/x  Find ∂u/∂x, ∂u/∂y, ∂u/∂z

Q: Solve the following problems. Write the correct unit and box your final answer. Topic: Applications…

A:

Q: 5. Solve the equation: (D² – 3D + 2) y = 2r² + 1 O y = cje* + c2e²« + 4x + 3x² + x³ O y = cje" +…

A:

Q: 1 Inx 13. limx→+00

A:

Q: 10. Particular solution of y" – 64y = 16, when x = 0, y = 1, y' = 0

A:

Q: dy for y=In (x² +1}+ (sin x +5)*. Find dx

A:

Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

A:

Q: Evaluate the following integrals. 1.) Sdv csc 3v 2.) S cot 9x dx

A: ∫5csc(3v)dvSubstitute u=3v→dudv=3→dv=13du=∫53csc(u)du=53∫sin(u)duWe know that…

Q: 2. Find the general solution of cos x dy + (y sin x – 1) dx = 0

A: