Verify the Divergence Theorem for the vector field and region: F = (3x, 5z, 3y) and the region x² + y² ≤ 1,0 ≤ z ≤ 4 JF. ds = 44pi S R div(F) dV = 44pi

Q: Write the equation x = -5y^2 in polar coordinates and state values of theta that produce the entire…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4x…

A:

Q: If we apply Rolle's Theorem to the function f(x) = 2x² - 8x - 1 on the interval [0, 4], how many…

A:

Q: If S(t) represent the distance of an object moving along a straight line at time t. Which one of the…

A: If st represent the distance of an object moving along a straight line at time t.

Q: Determine whether the infinite geometric series converges or diverges. If it converges, find its…

A:

Q: Evaluate the double integral J[₂x² x³ dA, where D = {(x, y) : 1 ≤ x ≤ e, 0 ≤ y ≤ ln x}.

A:

Q: A polynomial P（x) of degree seven has zero of 2-i and 4+i, the graph of P(x) has how many x-ints

A:

Q: 35) Given the acceleration, initial velocity, and initial position of a body moving along a…

A: 35) Given:     Acceleration a=18cos 4t    Initial velocity v0=2   Initial position  s0=-7…

Q: Solve the problem. 49) A private shipping company will accept a box for domestic shipment only if…

A:

Q: 4. State the domain and range of the inverse of the following function y=2√x+1,

A:

Q: By changing to polar coordinates, evaluate the integral where D is the disk x² + y² ≤ 25. [][₂₁x² +…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Here we will find dh/dt,

Q: Find the indicated term using the given information. a45 = -137/5 , a17 = -53/5 ; a6

A:

Q: The area of a circle is increasing at a constant rate of 88 square meters per second. At the instant…

A: The answer is given below:

Q: Bob throws a ball straight up with an initial speed of 40 feet per second from a height of 7 feet…

A: As per Bartleyby guidelines we only give first three questions answers. Please repost for other…

Q: Use the Ratio Test to determine if the series converges. M8 k=1 %*x Select the correct choice below…

A: Ratio Test : Consider the given series ∑k=1∞ ak .and L = limk→∞ ak+1ak , then(i)If  L<1, then…

Q: Find parametric equations that define the curve starting at (6.0) and ending at (7.9) as shown. Let…

A:

Q: Find the volume of the solid generated by revolving the region about the y-axis. 3π 4 ‚ x = 0, y = -…

A:

Q: Evaluate the integral. (41) ² (1 + 1)² dx

A:

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 25x2 +…

A:

Q: Consider the function f(x) = 12x5 + 45x¹ - 200x³ + 6. f(x) has inflection points at (reading from…

A:

Q: ver (++)

A:

Q: Inflection points Local Extrema points с B

A: Given function is: y=xe-x

Q: sketch the region of integration and evaluate the integral. Your sketch should be approximately the…

A:

Q: Show the connection between the slope of a tangent of a function at a given point and its derivative…

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A:

Q: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

A:

Q: The area of a circle is increasing at a constant rate of 205 square inches per minute. At the…

A: We have to find rate of chenge of radius

Q: Consider the function f(x) = 12x5 + 45x¹ - 360x³ +5. f(x) has inflection points at (reading from…

A: Consider the function fx=12x5+45x4-360x3+5.fx has inflection points at reading from left to right…

Q: The y-coordinate of the vertex of a parabola that opens up is called the _____. minimum value…

A:

Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 4x³ - 42x² + 144x. g'(x)…

A:

Q: Determine the interval M n n2

A:

Q: 2. If x=1.0 and y=2.5 are round up numbers, find the maximum absolute error (A.E) involved in…

A: Absolute error:- Absolute value is that value in which we subtract the original value minus the…

Q: Solve the initial value problem. dr-csc² 50 cot 50, 42) de 43) dy dx 3 (7) - y(0) = 6 (6 + x)2'. = 3

A:

Q: Example: find the complex Fourier expansion of the periodic function shown below f(x) = cosx…

A: Basic definite integration is done

Q: Remaining "How Did I Do?" Uses: 0/3 Sketch two periods of the graph of the function p(x) = tan…

A: Please see the below picture for detailed solution.

Q: Supply function is defined as

A:

Q: Determine whether the following series converges. k 11k 5+1 Σ (-1)k+1. k=1 Let ak 20 represent the…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: An airplane has an airspeed of 410 kilometers per hour bearing N45°E. The wind velocity is 70…

A: Given 1. Air speed of airplane Vap=410 KMPH in N45°E 2. Wind speed  Vw=70 KMPH in N30°W

Q: Find the limit of the following sequence or determine that the sequence diverges. 22 {(1-²)} n…

A:

Q: 10. y' + y cotx = 5ecos x, when x = 1, y = -4 ANSWER KEY: 10. y sin x + 5e cos x =

A: Please see the below picture for detailed solution.

Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

A:

Q: 4) Find the point(s) of inflection f(x)=(sinx)(e*)

A:

Q: breakeven

A: A point (x,f(x)) is said to be break-even point if revenue is equals to cost.

Q: The graph of g' is given below: W Notice this is the graph of the derivative of g not the graph of g…

A: We have to find the value of x where graph positive, negative, zero or undefined

Q: K Find an equation for the hyperbola described. Graph the equation Center at (1,-2) focus at (6,-2):…

A: Let's find equation of hyperbola.

Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0

Q: the blank(s) provided. 9. The y-intercept of the function f(x)=4(2) is 10. To the nearest hundredth,…

A:

Q: A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it…

A:

Q: Evaluate the double integral x cos y dA, where D is bounded by y = 0, y = x², and x = 5.

A: