12) Find the Volume (using discs) of an ellipsoid that has the following elliptical shape revolved around the x-axis: 0 -2 x²+4y² = 4 Compare your answer to the formula for an ellipsoid: V ==πabc, where a = 2, b = 1, and c = 1 are the semi-major axes. MATH1275 Calculus 3

Q: Find absolute maximum and absolute minimum values of the function, f(x) = x³-3x²+6 over [-1,4]…

A: Step 1:​f(x)=x3−3x2+6 over [−1,4].​Step 2:​f(x)=x3−3x2+6Using the power…

Q: An established rollercoaster can be modelled by f:[0,3]--> R, f(x) = -x^3+3x^2-x+5, where x-axis…

A: The problem is asking us to find a parabolic function that extends the existing rollercoaster track.…

Q: A slope field is shown for which of the following differential equations? dx dx dy dx dx = Inx 2

A: y">

Q: Could you please help? Thank you

A: Kindly see attached photo for ypur guidance.

Q: Decide whether or not the functions are inverses of each other. 19) f(x) = 2x - 2, g(x) = x+1 A) Yes…

A: To find the inverse, we must switch the variables within the function. This means that the variable…

Q: For each solid described here, sketch it and then use a triple integral to calculate its exact…

A: Sketching the Solid1. **Boundary Conditions:**  - x = 0: This is the plane along the y-z axis.  - z…

Q: 2π The figure to the right shows four regions bounded by the graph of y=x sin x: R1, R2, R3, and R4,…

A: ∫3π/22π​xsin(x)dxThe magnitude of this definite integral is simply equal to the area bounded by the…

Q: Simplify the following expression. 이승 dx ·S· dp P AP-0 dx

A: Step 1: Step 2: Step 3: Step 4:

Q: QUESTION 3 The functions f and g are each twice differentiable for all real numbers. The function…

A: Step 1:Step 2:

Q: find the derivative of the func N 4+22

A: Step 1:Step 2: Step 3: Step 4:

Q: Find a formula for f'(x) and determine the slope f'(-1) for the following function. f(x) = e4-6x…

A:

Q: Solve the equation for x algebraically. sin-1 3 + cos-1 5 4 X =

A:

Q: Identify all singular points and points of discontinuity of the given function. (Enter your answers…

A:

Q: x=5e' and y=e' +3 Part 1 of 2 (a) Eliminate the parameter and write an equation in rectangular…

A: Step 1:

Q: 1+n 3n+1 For each natural number n, Let - Find UA, and 4. n n EN EN If R={(x, y) & RxR: x² = 3 +5y},…

A: PART 1:PART 2:PART 3:

Q: 10) The depth of water in a harbor varies with the tides. The depth is measured at the same location…

A: A.B.For this graph the code used is-import numpy as npimport matplotlib.pyplot as plt# Define the…

Q: Need help step by step explaining

A: Step 1:To test the convergence of the series ∑n=1∞​42n+4n+4​ using the ratio test, we'll compute the…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A:

Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

A: Step 1: Step 2: Step 3: Step 4:

Q: Explain how to solve this question in detailed steps. (10 & 11)

A: Step 1:Sol 10 (3c)- The statement "True bearing is a directed compass measurement, beginning at…

Q: Use the trapezoidal rule to approximate 12x³ dx, using three non-uniform partitions at {0, 0.25,…

A:

Q: Please (re)solve these examples in more detail as well..........

A: Step 1:Step 2: Step 3: Step 4:

Q: Evaluate the indefinite integral. Set 7x е sin(2x)dx

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Can you please help me? thank you

A:

Q: A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at $12 the…

A: Step 1:Given that:Stadium capacity C=56000Initial ticket price p1​=$12Initial average attendance…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: What production level will maximize profits for a company with attached cost and demand functions

A: The marginal cost of production is given as:MC=dxdC​=5−500x​The equilibrium condition is satisfied…

Q: 2 1. Find the power series for f(x) = (1-2x)2 by, first, integrating f(x), second, find the power…

A:

Q: Solve each equation over the set of complex numbers, find the magnitudes of the roots, and draw them…

A: Solution of the given question is like as

Q: of J the Value of X and the Value of given further that XJER X+i) 22³+ p²² + q2 +16=0, PER, JER In…

A:

Q: Solve the equation for solutions in the interval 0 < x < 2. Round approximate solutions to the…

A: We can solve the equation for x in the interval 0 ≤ x &lt; 2π by following these steps:Factor out…

Q: QUESTION 12 1 a. Find a power series representation for 1+x b. Use your answer from a. and…

A:

Q: Question 3 Find a function f(x) such that f'(x)=-3x² + 6 and f(0) = 2 f(x) = Submit Question

A: f(x)=−x3+6x+2

Q: Explain how to solve this question in detailed steps.

A: Step 1:Step 2:Step 3:Step 4:Step 5:Step 6:

Q: Evaluate // 13 3xz dV where E = {(x, y, z) | 0 < x <3, x < y < 2x, 0 <z<x+2y} E

A:

Q: Suppose that the only information we have about a function f is that f(1) = 8 and the graph of its…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Use the figure to derive the formulas for sin COS and tan 2 sin (9) - COS tan (9) - 12 cos Ꮎ Ꮎ sin 0…

A: First, let us consider △ABC :Find its hypotenuse using the Pythagorean Theorem.AB2+BC2=AC2Substitute…

Q: Compute √√√ z dV where D is the solid region defined by x² + y² + z² ≤ 9 and z ≥ 0.

A:

Q: It is known that f(-2) = 12, f'(-2) = -9, f"(-2)=-7, f(3)(-2) = 6, and = 9. ƒ(4) (-2) = Find P(x),…

A: The formulas used for expansion…

Q: Please see image

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculus I  May I please have the solutions for the following questions. Find the Integral  Thank…

A:

Q: -14-14i write in polar form

A:

Q: What is the general solution to the differential equation =xy+4x? dx dy_y+4 dx 1-x y=e²-4+C +C y=e2…

A: The given differential equation is dxdy​=xy+4x So, dxdy​=x(y+4) (y+4)dy​=x dx  Integrating both…

Q: use first and second derivative test, along with concavity

A: Step 1: Make a table for values of F(x) in terms of x. Use the given equation. Step 2: Graph the…

Q: Saved The table below depicts the relationship between the price level and aggregate demand and…

A: I'll provide an in-depth explanation of the market equilibrium concept using aggregate demand (AD)…

Q: Use the dot product method to find the area of the parallelogram attached below. Provide detailed…

A: I  the cross product of two vectors representing the sides of the parallelogram.However, I can…

Q: At the start of the workday, 35,000 cubic feet of dirt was piled up at a construction site. Dirt…

A: b) c)

Q: QUESTION 2 Assume that f is continuous and that f(x)dx=-2. Evaluate f²x2f(x² + 1)dx. 00

A: I hope this can help you.

Q: ππ Find the average value of f(x)= cos x over the interval 4'4 The average value is (Type an exact…

A: We know that graph of f(x)=cosx from x=-pi to x=pi is:So, graph of f(x)=-cosx from x=-pi to x=pi…

Q: 3. S lies between the two surfaces z = x² + y² and z = 9-x²-y². Sketch S and use a triple integral…

A: ### Step 1: Sketching the Surfaces1. The surface z = x^2 + y^2 is a paraboloid opening upwards.2.…