Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x2 + y2 = 4 and the sphere x² + y2 + z² = 36.

Q: Find the extreme values of the function and where they occur. y=x²-3x² + 1 H This point OA. There…

A:

Q: Find all possible functions with the given derivative. y' = 2x² - 6x 2 O A. 3x³ + C 2 O B. 3x³-3x² +…

A: Given,             y' = 2x2 - 6x

Q: Determine whether the statement is true or false. True False •[º [F(x) If f and g are continuous on…

A:

Q: A particle moves in a straight line with velocity 10 2t ft/s. Find the total displacement and total…

A:

Q: 55,

A: Question 55. The function is given as  f(x)=2-3x. Use the definition of the derivative.

Q: Use the given transformation to evaluate the integral. JJ₁50 5(x + y) ex² - y² da, where R is the…

A: We have given an integral and using transformations we have to evaluate it.

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y5 and X =…

A:

Q: Compute the 9th derivative of at x = 0. ƒ⁹) (0) = Hint: Use the MacLaurin series for f(x). f(x) = =…

A: To find out the ninth derivative at x=0 by the use of the Mclaurin series.

Q: Evaluate the following limit: x²e³-y²e lim (x,y) →+(2,2) √√²ey-√√y²e² O O O 4e √3e² 2e4 √2e² The…

A:

Q: Estimate (a) Left-hand sum 1.5 1.5 Round your answer to three decimal places. S 0 e-x² dx using n =…

A: Solve the following

Q: Given f(x, y) = -x + 5xy¹ + 6y5, find fz(x, y) = fy(x, y) = Question Help: Video Calculator Submit…

A:

Q: Evaluate the indefinite integral. (use C for the constant of integration.) 3x³ +9x² + 9x +4 X dx =

A: As we know that ∫xndx = xn+1n+1 + C Given integral ∫3x3 + 9x2+ 9x + 4xdx = ?

Q: A lighthouse stands 600 m off a straight shore and the focused beam of its light revolves four times…

A:

Q: Convert the point (x, y, z) = (-3, -4,-5) to cylindrical coordinates. Give answers as positive…

A:

Q: 2t Let r(t) =

A: Given,  r→(t)=2t3-3, 4e-2t, sin(5t)

Q: Use spherical coordinates. Evaluate (x² + y² + 2)² dv, where B is the ball with center the origin…

A: Change the given integral into spherical coordinates and put the limit as I have done in solution

Q: 6 dy/dt + 4y = y² (1) Determine the first-order linear equation

A:

Q: A marketing team is going to buy promotional coffee mugs as giveaways. The manufacturing company…

A: Fixed cost= $350Cost per mug=$3

Q: Let C be the curve y = 45- 40 35- 30 25 20 15 10 5 P. 2 +e 5.6 - for 0.1 ≤ ≤ 1.1. A graph containing…

A: y=e2.8x+e-2.8x5.6

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

A:

Q: =(4, ½, – 4) 2 expressions, or decimals to at least one decimal place. (x, y, z) = Convert the point…

A:

Q: Find the equation of the normal to the curve 2x^2 - 3xy + y - 18 = 0 at (3, 0).

A:

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: The price-demand equation is x=8000-20p             The cost function for the…

Q: . Evaluate the limit by using a change of variable. 27 X 1 3 b. lim x-27 c. lim X² 1 X6 1 - X→1 X 1…

A: We are allow to solve first 3 subpart only, if you need rest of solution please upload them…

Q: Use cylindrical coordinates. JJJ V √x² + y² dv, where E is the region that lies inside the cylinder…

A:

Q: A box with an open top has vertical sides, a square bottom, and volume of 108 cubic meters. If the…

A: Have to use the concept of derivatives

Q: Find the total differential of the function z = y³x³ + 15y + 14. dz = Now calculate Az and dz for x…

A:

Q: find derivative of y = √√x x¹/2 Onone of the above (1/2)x 1/2 O

A: The solution is shown in step-2

Q: Evaluate the integral by changing to spherical coordinates. 200x² - y² 10 Toº To 100 - x² x² + y² yz…

A:

Q: Evaluate the sum k(8k+ 7). 9 Σk(8k+ 7) = 9 k=1 k=1 (Simplify your answer.)

A: The sum to first n natural numbers is given by ∑ii=1n=n(n+1)2 The sum of squares of first n natural…

Q: Find the area bounded by the curve whose parametric equations are x = 4cos t and y = 5sin t.

A:

Q: 3x² + 4 none of the above

A:

Q: Find the vertical asymptotes of the function r(0) =tan(0-4) in the interval 0≤ 0 ≤ 2. Number of…

A: rθ=tanθ-4

Q: Use the given points to answer the following questions. A(-4, 0, —6), B(3, 3, —1), C(2, 2, 9) Which…

A:

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

A: Given: f(x)=x3+5x-24 We are required to find: Intervals on which f(x) is increasingIntervals on…

Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (1, 0, 0)…

A:

Q: The slope for this problem is 4 at x = 1, slope −8, NOT 8,  at x = −1

A:

Q: Step 2 Use the formula to rewrite the given expression as a trigonometric function of one number.…

A:

Q: Let L, denote the left-endpoint sum using n subintervals. Compute the indicated left sum for the…

A:

Q: find the area bounded by the regions listed below

A: here the given curves are y-axis means x=0 and x=y2-y3 now for the bounded area first we determine…

Q: Can someone help me with this please?

A:

Q: 3 -3 JO 9-x² sin(x² + y²) dydx

A:

Q: Decide which of the following properties apply to the function. (More than one property may apply to…

A:

Q: Prove the identity. sin ²x - sinx= cos²x - cos4x Note that each Statement must be based on a Rule…

A:

Q: Sketch the region R and evaluate the iterated integral Jan -1.0 -0.5 О БГ - JaJ f(x, y) dA = (1 - 4x…

A:

Q: Find the curvature for the curve y = 3x²ex at the point (1, 1.104).

A: Given: Equation of curve is y=3x2e-x We are required to find: The curvature for the curve at the…

Q: Use each order of integration to write an iterated integral that represents the area of the region R…

A:

Q: A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the…

A: Find the upper level estimate for the amount of material leaked after hours.

Q: The graph of one complete period of a sine curve is given. y A period Find the amplitude, period,…

A:

Q: Find an equation for the tangent plane to the surface 4 = 3xy + sin(x)

A: note :- since you have asked multiple questions but according to bartleby   i only have to solve…