Use spherical coordinates to calculate the triple integral of 1 x² + y² + 2² over the region 6 ≤ x² + y² + 2² ≤ 25. f(x, y, z) =

Q: Evaluate the limit. Note: two 'o's make infinity (oo). sin(-5t) 2, (t-1)²) lim (5et, t-0 11

A: Need to find the below limitwill find the limit one by one

Q: p'(x) = where x is the number of hundreds of video boards that the supplier will make available to…

A:

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A:

Q: Give a geometric description of the following set of points. x² + y² +z²-14x + 4y - 16z+53 = 0…

A:

Q: wrong

A: In this step We have to discuss only D section

Q: Find an equation of the tangent line to the curve at each given point. x=t²4, y = t² - 2t at (0, 0)…

A:

Q: A projectile is fired at a speed of 820 m/sec at an angle of 60°. How long will it take to get 24 km…

A:

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A:

Q: The form of the partial fraction decomposition of a rational function is given below. A = − (7x² +…

A:

Q: F(x)(x-4)²(x-8)² (a) Determine intervals where fis increasing or decreasing. (Enter your answers…

A:

Q: Find the slope of the tangent line to the graph of f(x) = √√√x+6 at x = 3. Provide your answer…

A:

Q: Consider the vector field. F (x, y, z) = (7ex sin(y), 5e sin(z), 8e² sin(x))

A:

Q: Find the (exact) direction cosines and (rounded to 1 decimal place) direction angles of 7 = (5, 6,…

A:

Q: 2 (se", ²7, VF-3). (5 2 t 2 Let F(t)=(5e5 11 √ F(t) dt = ( 3 Check Answer Evaluate the definite…

A:

Q: Use the diagram to find the following bearings. B 203° A 15° 42° C

A:

Q: a. b. an 3x dx² + gy dy ²y + 4y = sin 2x sec² 2x dr² d²₂1 du

A:

Q: d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit?

A:

Q: The solution is unclear. My problem asks for x values. What are those x values? Should be comma…

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A:

Q: Find f by solving the initial-value problem. (Remember to use absolute values f(x) = f'(x) = x + 1 X…

A: Given

Q: (ii)A civil engineer is designing a bridge that needs to withstand the forces of wind and traffic.…

A:

Q: Let à = and 7 =. Find k so that a and will be orthogonal (form a 90 degree angle). k =

A:

Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

A:

Q: 3 Let r(t) = · (1 ²³₁,e², Vt-2). t-1 √ F(t)dt = { Evaluate the definite integral.

A:

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. ifs =…

A:

Q: Find y'' if y = 6x sin x. A. y' = 6 cos x - 12x sinx B. y'= - 12 cos x + 6x sin x C. y' = 12 cos x -…

A:

Q: z-x² = 0. Find the equation for (a) the tangent plane and (b) the normal line at the point Po(8,0,8)…

A:

Q: Evaluate the double integral. JI BX 8x dA, D= {(x, y) | 0 ≤ x ≤ π, 0≤ y ≤ sin(x)}

A:

Q: x(t) = 5 - 6t Find the equation of a plane through the point (-5, 6, -7) and orthogonal to the line…

A:

Q: A country's postal service will accept a package if its length plus its girth (the distance all the…

A:

Q: Use differentials to estimate the maximum error in the volume of a rectangular box with square base…

A:

Q: Let y = 5x - 4√x. Find dy. dy = Evaluate dy at x = 4 and dx 0.02.

A:

Q: Graph the polynomial function. Use synthetic division and the remainder theorem to find the zeros.…

A:

Q: Answer the following questions about the function whose derivative is given below. a. What are the…

A:

Q: 2. Find the area under the curve y = 1/x² from x = 1 to x = 4. Sketch a graph of the region.

A: Given a = 1 , b = 4  ,

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

A: The given function

Q: The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Use the Divergence Theorem to compute the net outward flux of the field F = (-2x, y, 4z) across the…

A:

Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.8x + 32…

A: The estimated marginal profit associated with producing  widgets is given by where   is measured in…

Q: Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the…

A:

Q: Solve ABC subject to the given conditions A= 10.5° , C=97.8° , b=61

A:

Q: Solve the right triangle for the unknown sides and angle. Round values to 1 decimal place if…

A: To solve the following right triangle for the unknown sides and angle.

Q: Find an equation for the tangent to the curve at the given point. y=x²-3, (-2,1) O A. y = - 4x - 14…

A:

Q: Answer the following questions about the function whose derivative is f'(x) = (x-5)(x+9)(x-7). a.…

A:

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A:

Q: Find the directional derivative of the function f(x, y, z) = x²z√√y at the point P(-1,4,1) in the…

A: We are required to:

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A:

Q: You are designing a poster with an area of 625 cm² to contain a printing area in the middle and have…

A:

Q: Use lim X-0 OA. 0 4 OB. 5 OC. 5/20 4 sin x X = 1 to find lim X-0 OD. The limit does not exist. sin…

A:

Q: Consider the following. 116 x ² + 1 dA, +1 dA, D = D = {(x, y) 10 ≤ x ≤ 9,0 ≤ys √x} Rewrite the…

A: