ind the equation of the plane that contains (1, -2, 1), (1, 0, 2) and (0, -2, 2)

Q: Show that the vector field F = (yz cos(x)ey sin(x), z sin(x)ey sin(x), ey sin(x)) is conservative.

A:

Q: es for the point (4, IN

A: given (r,θ)=(4,2π3)formula for other coordinates is  (r,θ+2nπ) or  (-r,θ+(2n+1)π)

Q: 3. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + x² = 6.

A: Solve the following

Q: Find the area of the shaded region. Ay 121- 99- 77- 55- 33- 11- y=121-x² -33- -55- -77- -99- -121- X…

A: To find the area of the shaded region.

Q: Differentiate. y' = у 4x 3 - tan(x)

A:

Q: Suppose c is inversely proportional to the square of d. If c = 8 when d = 2, find the constant of…

A: Function

Q: 4) Evaluate 2 √x√x² +1 dx

A:

Q: (4) Compute the following: I7 (a d da na" = I7a6 Jn:2x-1 haban toy (b) d dx P [etan z] tanx ₁₁)] (x²…

A: according to bartleby guide line we do only first part ofmultilly 4(a)      d dx(lnx7(x2-x+3)11we…

Q: Quality management charges 7.5% of the monthly rent on properties it manages. If they manage nine…

A: Given Quality management charges (r)=7.5% of the monthly rent on properties it manages total number…

Q: Graph the circle given below by moving the key points: To graph the circle, drag the center point to…

A: Solve the following

Q: Differentiate the function. g'(t) = g(t) = ln(8 + tº)

A:

Q: Use trigonometric substitution to evaluate the integral (a) arcsin(r)+C 9x 9 - x² √9-x² (b) 9x + C…

A:

Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

Q: Graph the circle given below by moving the key points: To graph the circle, drag the center point to…

A:

Q: • L₁²*²1*²** LI Q16: 2z√x² + y² dz dy dx (Hint: use the cylindrical coordinate)

A:

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function y = k.xpy = 1πx

Q: $5,000 is invested for 5 years at 8% compounded quarterly, how much interest (in $) will be earned?…

A: Given query is to find the interest earned.

Q: X Y 1 844 2 1259 3 1665 4 2314 5 3415 6 4517 Use regression to find an exponential equation that…

A: NOTE: Refresh your page if you can't see any equations. . X Y 1 844 2 1259 3 1665 4 2314…

Q: (th) h B) none existent 2) lem Cos ho A) | TheR c) 0 D)(-1) E) None

A:

Q: The roots of the auxiliary in y (4) + 3y"- 4y=0_ Om= ±2 Om=+1,i Om= + 2i Om= ± 1, ± 2i

A:

Q: The measurements of the base and altitude of a triangle are found to be 46 and 34 centimeters. The…

A: Given information altitude ( A ) = 34 cm Base ( B ) = 46 cm let Area = A

Q: Determine the 3 axis direction angles of force F in the direction of the vector AB when A = (3,1,8)…

A:

Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + Determine the values of…

A: Given,            fx=ax3+bx2+cx+d has a local maximum at the point 0,0 and a local minimum…

Q: Use left endpoints and 10 rectangles to find the approximation of the area of the reg Round your…

A:

Q: Locate the absolute extrema of the function f(x) = cos(on the closed interval [0, 1] absolute max:…

A: Solve the following

Q: Simplify the following expression: O sin²(u) O 1 - sec²(u) O sin(u) O cos² (u) Ⓒ 1 - cos(u) cos(u)…

A: formula used is  secu=1cosusin2u+cos2u=1

Q: Mary Toy borrowed $4,000 from her parents and repaid them $4,160 after 9 months. What simple…

A:

Q: 15. If g(x)=√t² - 5t dt, find g"(x).

A:

Q: 6. f(x) 10. f(x) 12. j(x) f(x) 14. 16: Function 3. 7. 9. 11. f(x) 13. f(x) 15. f(x) 17: f(x) 15.…

A: Match the function with the graph of its derivatives.

Q: 16. If h(x) = f(2t +Vt) dt, find h'(-2).

A: If hx=∫0x32t+t3 dt, then to find h'-2.

Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: Find dy/dx and dy/dx². x = e, y = te-t dy dx² For which values of t is the curve concave upward?…

A: Given query is to find indicated derivative.

Q: -X d) xy' + (1 + x)y = e¯* sin(2x)

A:

Q: Differentiate. g'(x) = g(x) = (x + 9√x)ex

A:

Q: (i) The velocity and acceleration of a particle is given as v= -4i -9j + 5k and a= 6i - j + 3k Find…

A: Given velocity and acceleration vector v = -4i -9j + 5ka = 6i -j + 3k

Q: f(x) = (2x³ + 8), (1, 100)

A:

Q: 10) Does the sequence an = √n² + 3n - n converge or diverge? Explain

A:

Q: Find two points where the curve x² + 2xy + y² = 53 crosses the x-axis. The tangents to the curve at…

A: We need to determine slope.

Q: 3) Find curl (xyi + yzj + zxk)

A:

Q: Integrate using u-substitution or 2 guys in Jail. fx sin(2x²) dx 5. (4x³-2)7 (24x²)dx

A: (4)   I=∫xsin(2x2)dx∫sinxdx=-cosx+cdxndx=nxn-1

Q: A) O B) i C of 4) Given g@=2, g'(3)=3, * P(x) = [90] 2, then P'(3) equals; A) 4 B) 6 c) 9 D) 12 E)…

A: Given; g(3)=2, g'(3)=3, p(x)=[g(x)]2.

Q: Find the derivative of the function. y' = y 1 - x² - x cos-¹(x)

A:

Q: Find the slope of the tangent line to the curve x=t+ 1, y=2t² + t -1 at t= 1.

A:

Q: Would you use the dividing out technique or the rationalizing technique to find the limit of the…

A: see below the aanswer and explanation

Q: Use the Divergence Theorem to evaluate the surface integral fF.dS where F(x, y, z) = 2₁ 56.

A: Please see the below picture for detailed solution.

Q: d) xy' + (1+x)y=e* sin(2x)

A:

Q: Consider the parametric equations below. x=3t-2, y = 2t+4 (a) Sketch the curve by using the…

A: We are required toa. graph the parametric equation x=3t-2,y=2t+4b. find the cartesian equation of…

Q: Find the derivative of the function. y = sin ¹(cos ¹(t))

A:

Q: Use the graph of f(x) shown below to answer the questions J'(x) O (a) Find lim f(x). x-1 05 01/1/20…

A: see below the answer and explanation

Q: Determine the solution of the following differential equations. c) (D¹ + 2D6 + 7D5 + 14D4 + 8D³ +…

A: To determine the solution of the following differential equation.D7+2D6+7D5+14D4+8D3+16D3-16D-32y=0…