Problem #3: Find the volume of the solid bounded by the graphs of r = 6 sin 30, = = 4+ √√x² + y², 4+ √√x²+ y², = = 0, in the first octant.

Q: Explain how to solve this question with steps.

A: All steps given below.  Explanation:

Q: The function f(x)=1+8x+72x^-1 has one local minimum and one local maximum. This function has a…

A:

Q: 个 The Of X Schedu X MOM X M MyOpe X AC Usi X →>…

A: f′x=3x2+12x−15f"x=6x+12Explanation:Following rules of derivative f′x=nxn−1 Step 1:f' (…

Q: Let be the vector with initial point (8, 1) and terminal point (6,5). Express as a linear…

A: The objective of this question is to express the vector v as a linear combination of the standard…

Q: solve it y''+3y'+2y=cos(e

A: The given differential equation is

Q: find f if f''(x)=2+cos(x), f(0)=-10, f(pi/2)=-8.

A:

Q: onsider the function f(x) = (3x-6) / (x+5) Find: (a) f increasing and decreasing (b) concave up…

A: The given function

Q: I am needing assitance with the problem in the attached image, 3.8.

A: Answers.. f'(x) =  (x3 - 6)/x3  Or  1 - (6/x3)Explanation:Step 1: Step 2: Step 3: Step 4:  Thanks…

Q: I)For the following exercises, determine the least possible degree of the polynomial function shown.…

A: 1) 32) 23) 5Explanation:A polynomial of degree n has at most (n-1) turns.Thus, the least possible…

Q: Find the equation of normal to the function f(x)=x3−3x+1�(�)=�3−3�+1 at its local maximum point.

A: The objective of this question is to find the equation of the normal line to the function f(x) = x^3…

Q: Question 8 11a. At the end of summer Sally empties her pool. The depth of the water in the pool, h…

A:

Q: Find a general formula for the perimeter of a polygon with 2" sides for n> 4 use it to find a…

A: The complete answer is given below with a detailed solution:Explanation:To find the perimeter of a…

Q: Write an equivalent series with the index of summation beginning at n = 1. Σ Ο M n = 1 0 W n = 2…

A: To write an equivalent series with the index of summation beginning at .

Q: What is the 7th term in the Taylor series for f(x) = 5e5* taken about x 7th term = 7-6-5-4-3-2-1-36…

A:

Q: Explain how to solve question 1 in steps.

A: Option second is correct.F′(a)=0 Explanation:Step 1:Understanding the Derivative: The derivative of…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Thickness of paint = 0.01cmDiameter of hemispherical dome is 70 meters

Q: Find the Taylor polynomial of degree n = 3 approximating the function f(x) = 3 sin x for x near πT 4…

A: Ans:Detailed answers in explanation please referAny confusion please ask in clarification will…

Q: Find the gradient of the tangent to S(t): = 5t +7 +2 at the point where t = −1.

A: The objective of this question is to find the gradient of the tangent to the function S(t) = 5t + 7…

Q: Please see image thanks!

A: The objective of the question is to find the derivative of the function f(x) = e^x at the point x =…

Q: QUESTION 6 ax For what values of a does the does the function y=e satisfy the differential equation…

A: Therefore, the required answers are a=31​,a=−2Explanation:Step 1: Step 2: Step 3: Step 4:

Q: A lamina with constant density p(x, y) = 2p occupies the given region. Find the moments of inertia…

A: Given:A lamina with constant density  occupies the given region. the triangle with vertices (0, 0),…

Q: Given vectors = (-1,4) and = (-5,-2); find the dot product .. 06 O-13 O 13 O-3 0-6 O None of the…

A: The objective of this question is to find the dot product of two given vectors. The dot product of…

Q: 55. Let A(t) be the area of a tissue culture at time I and let M be the final area of the tissue…

A: As your demand we solve part b.Given that Let A(t) be the area of a tissue culture at time t and let…

Q: Ay 15 12 9 Solve graphically by the intersection method. Give the solution in interval notation.…

A: The objective of this question is to find the point of intersection of the two given lines y₁ =7x+…

Q: For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the…

A: 1N2C3N4C5N6CExplanation:

Q: The arch of a bridge over a river has the shape of a parabola. The base is 40m wide and the maximum…

A: The objective of this question is to find the height of the arch at a distance of 12m from the…

Q: Explain how to solve question 6 in steps.

A: x=-1, x=1 & x=3Explanation:If a function is differentiable at x=a, then at that point function…

Q: Set up the integral needed to find the volume of the solid of revolution generated by rotating the…

A:

Q: 1. Given the below graph of f(x) = f(x) = x2 x-2 a. As x-co, f(x)→ b. As x 2, f(x)→ x 3 4 5 6-7 C.…

A: We need to determine the values of f(x).

Q: Let g be the function given by g(x) = x²ex, where k is a constant. For what value of k does g have a…

A: A real-valued function  f(x) of one variable x has a critical point at x=a , if the function is not…

Q: (a) f(x, y) = x²- xy + y²+9x-6y+ 10 (b) f(x, y) = (x² + y) ev/2 dues and saddle points of the…

A:

Q: PLS DO PART D ASAP

A: Answer:  1,−1,−1Explanation:Step 1:Step 2:Step 3: In last column three entries are 1,−1,−1

Q: Given vectors = (2,-4) and = (-5,1); find the dot product - v 0-28 O-14 0-13 0-6 06 O None of the…

A: The objective of this question is to find the dot product of two given vectors v1 = (2,-4) and v2 =…

Q: A calculator may not be used on the following questions. A particle moves in the xy-plane for values…

A: The value of t is 1.5, 2.5 and 3.5 only. Option a. is correct.Explanation:Steps and explanations are…

Q: Find f'(x) using the QUOTIENT RULE if f'(x) = Find f'(3). f'(3) = = f(x) 6-x² 6+ x2

A: The answers are as follows: f′(x)=(6+x2)2−24x​. f′(3)=−258​.Explanation:Steps and explanations are…

Q: Precalculus Question (6)

A: Answer (g):  No Answer (h):  YesExplanation:Question (g):No, it is not possible for the graph of a…

Q: Find the gradient of the tangent to S(t): = 5t+7 /+2 at the point where t = −1.

A: The objective of this question is to find the gradient of the tangent to the function S(t) = 5t + 7…

Q: 7

A: The value of m = 2 so that the given matrix C is not invertible.Explanation:

Q: 1. Use the Limit Comparison Test to determine if diverges. Show all appropriate work. iM 8 n=1 √n n2…

A: The objective of this question is to determine whether the given series converges or diverges using…

Q: III) For the following exercises, graph the polynomial functions. Note x- and y-intercepts,…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find the equation of normal to the function f(x)=x3−3x+1�Find the equation of normal to the function…

A: The objective of this question is to find the equation of the normal line to the given function f(x)…

Q: Find the gradient of the tangent to S(t): = 5t +7 +2 at the point where t = −1.

A: The objective of this question is to find the gradient of the tangent to the function S(t) = 5t + 7…

Q: Consider the function f(x)=2x^2 - 4x^4 (a) Find where f is concave up and f is concave down in…

A: The given function is

Q: 3 In the study of a nonlinear spring with periodic forcing, the equation y" + ky+ry = A cos cot…

A: The objective of the question is to find the first three nonzero terms in the Taylor polynomial…

Q: 1. Use the Limit Comparison Test to determine if diverges. Show all appropriate work. 1M8 converges…

A:

Q: 20. Given that f(0) = 12 and following graph, write the formula for a polynomial func- tion of least…

A:

Q: Use complex numbers

A: 81a4−64b4=(3a+22​bi)(3a−22​bi)(3a+22​b)(3a−22​b)​Explanation:Step 1:​ Let A=81a4−64b4​Step…

Q: Convert the Cartesian coordinate (3,-3) to polar coordinates, 0 0

A: P=(3,−3)(x,y)=(3,−3)

Q: 16

A: Volume= 128/3Explanation:

Q: The cross section of a drainage is parabolic in shape. When the width of the water surface is 10…

A: The objective of the question is to find the width of the water when the maximum depth is 3 metres,…