Find the area, A, of the region enclosed by the cardioid r = 8+8 cos 0. (А) 96 я (В) 48 я с) 52 я 100 x

Q: (x² + 6)cotx 3 – cosxcscx Find f'(x) when f(x) 6cotx – 3(x² + 6)csc²x + 2xcot?x f'(x) = (3 – cotx)?…

A:

Q: the position function, in meteres, of a particle that moves along a straight line is…

A:

Q: 3. Let f(r, y) = I sin ry. Find: %3D (a) fa(1,9) (b) fy(r, y) (c) fyy(I, y) (d) fyz(I, y)

A: Given,            fx,y=xsinxy

Q: 4 - x -dx. 16 – x2 III. Evaluate

A: Solving

Q: Evaluate the upper and lower sums for f(x) = 2 + sin(x), OsxSA, with n = 2, 4, and 8. Illustrate…

A:

Q: Find the measure of the angle between the two vectors. Round answer to 2 decimal places. u =(-8,-2)…

A:

Q: 6. y = 3x²V4x

A:

Q: Evaluate S(5 – 3x) dx using geometry. | 1 3.

A:

Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

A: slope of the line passing through the point  (x1 , y1)  and (x2,y2) is m=y2-y1x2-x1

Q: B. Directions: Find an equation of the tangent line to the graph of the equation at the given point.…

A:

Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: If f(x) = x² m2. find f'(2).

A: We will use simple differentiation rules to solve these questions.

Q: Find the arc length of the parametric curve. = 4 cos(t), y = 4 sin(t), % = 3t; 0 < t < T L =

A:

Q: d d alculate dt r:(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt ne product directly…

A:

Q: 18r +3 2. dr. 92+6r +2 cos z dr. 3.

A:

Q: A. Solve for the integrals of the following: 3 - dx b) 2+ 3x ST a) dx c) 1+ 2x2 e2a + 1 3

A:

Q: !Solve the boundary-value problem y" +9y = 0, y(0) = -3 and y(/3) = 2.

A:

Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by…

A: Let's find.

Q: A general equation of conic section is given as y + 4x? + 4(x – 2y) + k = 0. Determine the value/s…

A:

Q: Find equations for the tangent plane and the normal line at point Po (Xo.Yo.Zo) (1,2,0) on the…

A: Let,  ϕ=-8cosπx+3x2y+exz+5yz-15∇ϕ=i∂ϕ∂x+j∂ϕ∂y+k∂ϕ∂z…

Q: Find the most general antiderivative of f(t) =8 cos(t) + 6 sin(t). Note: Any arbitrary constants…

A: The given function,        ft=8cos(t)+6sin(t)

Q: Evaluate the following double integral .3 a) Evaluate I | 8xy dxdy= ? 1 0.

A:

Q: Use Green's Theorem to evaluate the line integral. dx + ху dy C: boundary of the region lying…

A:

Q: ! Solve the boundary-value problem y"+ 9y = 0, y(0) = -3 and y(a/3) = 2.

A: To solve the given differential equation.

Q: Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3.r2 + 1) cot (3.x + 1)…

A:

Q: (4x + 1)² cot(5x) f(x) = ln

A: Follow the procedure given below.

Q: / Find the value of the following: 1) cos (tan- 1) 2) sin (sin-) -1 3) tan (cos n) cos (sin-1) 4)

A:

Q: Consider the function y= ¿x³ – a. Sketch the graph of y= -x³ - 9x + 4. b. Find and describe the…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 2-fx'e-2x* dx

A:

Q: Evaluate 4x2 + 4x + 5 dx

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A:

Q: 4-x Evaluate f dx. 16-x2

A:

Q: Sx'e-2x* dx

A: ∫ x3e-2x4dxLet u=-2x4.=∫ -eu8du=-18·∫ euduSubstitute back u=-2x4=-18e-2x4Add a constant to the…

Q: 2- fx'e-2x* dx

A:

Q: 2.x h(x) = 5x3 + 6 Select the correct response: 8.x3 15x2 +6 10x + 48x (5r + 6)2 10. + 6x® 5x3 + 6…

A:

Q: 2) Zy? + X :0 + x -1 :0

A:

Q: R={ (x,y): 0<x, 0 y, x²+y? <49} be enclosed region. The result of the following double integral (by…

A:

Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: Follow the procedure given below.

Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

A: The given condition, a Petri dish containing 3000 newly discovered flesh-eating bacteria makes a…

Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

A:

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A:

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a 0 to a 1 NOTE:…

A:

Q: Find the arc length of the parametric curve. x = 14 cos(t), y= 14 sin(t), z = 48t; 0<t<T L

A:

Q: Vxdx 10. 9+x4 3/4

A:

Q: Vex – 1 dx c2

A:

Q: Write the general equation for the circle that passes through the points (- 5, 0), (0, 4), and (2,…

A: Given -5,0, 0,4, 2,4 To find general equation of circle:

Q: Work Problem 2( Question 1 ( Use the First Derivative Test to find the local maximum and minimum…

A:

Q: 4 sin? x cos? x dx. sin(2.x) cos(2.r) Evaluate the integral (a) In |sec(2a)|+C (c) In |sec(2x) +…

A:

Q: Work Problem [ solutions and justify your answers. Write step-by-step (1) L. | Solve the…

A: The given differential equation can be solved as follows:

Q: Find the gradient of the function at the given point. g(x, y) = 5xev/x, (8, 0)

A: Follow the procedure given below.