Given the polar coordinates (1, – 7), which of the following would represent the positive angle? ㅇ(1, 꽃) ㅇ(1, 중) ㅇ(1, 풀) ㅇ(-1, 품)

Q: %3D 15. If the vector field F(x, y, z) = xz i+ xyz j-y k, find curl F.

A:

Q: Find the standard form of the equation of the hyperbola with •center at C(−2, 1), •a vertex at V(−2,…

A:

Q: ) Let R={(x.y): 0sx,Osy, +ys4) be enclosed region. The result of the following double integral (by…

A: Given region R=( x,y) : 0≤x, 0≤y , x2+y2≤4

Q: w +x +4y +3z =5 2w +3x +y-z =1 w +2x -5y +4z = 3 w -3z =9

A:

Q: Use polar coordinates to evaluate the integral where R is the region that lies in the second…

A: follow the procedure given below.

Q: Using Integration by parts, considerS xsec-(3x)dx = uv – f v du, then find uv – S v du

A:

Q: ds ds Draw a dependency diagram, and write a chain rule formula for др where s = g(x,y,z), x =…

A:

Q: Find the general solution of the differential equation. ху + у' %3D 94х y =

A: Given query is to find the solution of the differential equation.

Q: a. Graph the function f(0) = 6 sin(0). 6- 4 -/2 3/2 -2 -4 -6 -8+ Clear All Draw: W b. Graph the…

A: We want to plot the graph.

Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: Find the indefinite integral. (Use C for the constant of integration.) cosh(8x) dx

A: We have to find the indefinite integral ∫cosh8x dx.

Q: The graphs show the position s, velocity v = ds/dt, and acceleration a = d²s/dt2 of a body moving…

A: The graphs show the position s, velocity v=dsdt, and acceleration a=d2sdt2 of a body moving along a…

Q: ) Find the pdar eawation for the cartesian curve x²-y²= \x?+yz A)rsinz0=2 b)r=ュ )cos 20=1 Dr=cos2@…

A: In polar coordinates, substitute x =r sin(theta) and y= r cos(theta)

Q: Find a formula for the total maintenance cost during the first x years. (Total maintenance should be…

A: Follow the procedure given below.

Q: Find the limit or explain why the limit does not exist: x2 + 3x lim sin x Note: x is measured in…

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use the algebraic substitution and solve the integration.

Q: x² – 1 lim x→1 /x – 1

A:

Q: y''+4y'+3y=sin(3t) with y(0)=1 and y'(0)=-1 determine with laplace transform

A:

Q: (7) If 4.5* = 97, an approximate value of x is (A)x = log(97) × 1.987 (C) x = In(97) z 4.575 (B)x =…

A: 7.    4.5x=97 Note:      Multiple questions are given, we are answer with only one question. if you…

Q: Compute the derivative of the given function. log3 x f (x) = %3D cot x - 2x2

A:

Q: Find the area of the region bounded by y^2= 8x and y = 2x.

A:

Q: (3) Find the domain of f(x) = log(6 + x – x²) (A) (-∞, 3) (B) (-2, 3) (C) (3, ∞) (D) (-∞, -2) U (3,…

A:

Q: Find the limit. Use a graphing utility to verify your result. (Hint: Treat the expression as a…

A:

Q: 1. Prove the following limit. a) f(x)=x²+2x+6 where lim, 3 f (x)=21 x→3 b) limx? -x+1=-5 c) lim x→2…

A:

Q: Evaluate

A:

Q: dx 1- cos 2x

A: The given integral is ∫dx1-cos2x Now,        cos2x =1-2sin2x       ⇒  1-cos2x=  2sin2x…

Q: For what values of a and b is the following function continuous at every x? - 10 XS-3 f(x) = < ax-b…

A:

Q: What is the slope of the line 0 = (Use decimal notation. Give your answer to three decimal places.)…

A: Slope of a line θ=a is given by m= tan(θ)=tan(a)

Q: 5. Find two positive numbers whose sum is 10 and the sum of their squares is as small as possible.

A:

Q: give the equivalent cartesian coordinates of ρ = π

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Select from the items the one that corresponds to a correct step of the procedure to solve the…

A: Solving

Q: x'+8 if x + 2 The function f given by f(x) = is continuos at x = -2 x+2 -12 if x = 2

A:

Q: | 10re", | 2:r3 + 3x² – 12x, r>0 * <0 Given: f(r) = (a) Identify all critical numbers of f. (b)…

A:

Q: Convert x = 19 to an equation in polar coordinates in terms of r and 0. (Use symbolic notation and…

A:

Q: 4. The surface described by the equation x2 + y + z² = 0 is a(an) (a) elliptic paraboloid symmetric…

A:

Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: Given problem:-

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

A:

Q: Using Trigonometric Substitution  ∫ dx/ (x^2+x+1)^(3/2) find f theta

A:

Q: Evaluate the iterated integral: e dydx

A:

Q: 5. Let f be a function satisfying the following properties: continuous on R \ {0} • f(-1) = -3 •…

A:

Q: *00 dl 6. 3. 2. 4. 24 %23 8. & HE OAC = (9 + )4 Answer Let h(x) = Vx + 5. Find the function glven…

A:

Q: What is the minimal degree Taylor polynomial about z = 0 that you need to calculate sin(1) to 3…

A: Now, the series of sin (x) is: sin x=x-x33!+x55!-x77!+...sin (1)=1-13!+15!-17!+...

Q: If f(x) =x* -+5VxG + 7 find f(-4) 1.

A:

Q: Express the polar coordinates (-2, -7) as Cartesian coordinates. (2, 0) (0, -2) O (0, 2)

A:

Q: 3.) Find the area bounded by the curve y = 2x and y =x-4 a.) Using Vertical strips b.) Using…

A:

Q: Express the Cartesian coordinates (-3, 1) as polar coordinates. (2, 330°) O (2V2, 150) O (2, 150)

A:

Q: The angle below measures 5.4 radians, and a circle is centered at the angle's vertex. 5.4 rad,…

A:

Q: Q.3 - Evaluate |sec xtan.x dx.

A: As we know that ∫sextanxdx=secx+Cand dsecxdx=sectanx

Q: If the graph of y= ax+9 has a x-intercept at x= 3 and a vertical asymptote x =-3, the x+c a+c=

A:

Q: V4-x2 aluate dy dx using pol 2x-x2 prdinates.

A: