find the zeros of the function algebraically:   f(x) = 9x2 - 3x - 2

Q: Example: Solve y" + 2xy' + 2y = 0 around x0 = 0.

A: The general terms can also be included in the solution as shown below..…

Q: Solve the equation.

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

Q: Find the arc length of the curve below on the given interval by integrating with respect to x. 4 4 +…

A: The given function is:y=4x4​+8x21​ The formula for finding the arc length of a curve in rectangular…

Q: 5. (i) Let f R2 R be defined by f(x1, x2) = x² - 4x1x2 + 2x3. Find all local minima of f on R². (ii)…

A: (i) Finding local minima of f(x1​,x2​):  (ii)  Example of a function f:R2→R that is neither bounded…

Q: 2) Drive the frequency responses of the following rotor system with Non-Symmetric Stator. The system…

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Q: 4 HW/ os x ex dx 2X 3 6054x dx

A: Step 1: Step 2: Step 3: Step 4:

Q: 3. Evaluate. Leave your answer in simplest exact form: 8 x²+x+1 √x dx

A: Step 1:

Q: Find the derivative of the function, using appropriate notation for each derivative: f(x) =…

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

Q: solve questions 3, 4,5, 7, 8, and 9

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Q: i need helppp

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Q: Find a parametric representation for the surface.  The part of the sphere x2 + y2 + z2 = 16 that…

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Q: " Do not use AI" "Answer must be hand written"

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Q: Total marks 15 པ་ (i) Sketch the trace of the following curve on R2, (t) = (t2 cos(t), t² sin(t)), t…

A: 5(i)(ii)L≈107.68(iii)

Q: how do i estimate the area under the graph of f(x) = 2 cos(x) from x=0 to x= T / 2 using four…

A: Step 1: Step 2: Step 3: Step 4:

Q: 3. Mary needs to choose between two investments: One pays 5% compounded annually, and the other pays…

A: Let's calculate the future value of both investments to determine which one Mary should choose.For…

Q: sy = f(x) + + + + + + + + + X 3 4 5 7 8 9 The function of shown in the figure is continuous on the…

A: We need to identify a point from the given points A,B,C,D in (0,9) which satisfy both the…

Q: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use Artificial…

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

Q: The integral of x2 dx with upper bounds of 2 and lower bounds of 0. Compute the integral exactly

A: The integral we are trying to solve is:∫02x2dx

Q: Find the exact length of the curve. - x = 5 cos(t) = cos(5t), y = 5 sin(t) - sin(5t), 0 ≤ Z ≤ π

A: We find the exact length of the curve defined parametrically by x(t) and y(t) by using the formula…

Q: Let (W)to be a Brownian Motion. (a) Let 1 if Wt > 0, Xt=sgn(W)= 0 t if W₁ = 0, - 1 if Wt < 0. Check…

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Q: An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south…

A: Let's go through the solution step by step; Step 1: Given DataAirspeed of the airplane: 428 mph (due…

Q: Explain to me why the answer is: 4a⁷b⁶ if not then defend yours

A: The problem is asking us to simplify the expression (4a3b2)(-2a2b2)2 using the laws of exponents.

Q: There is exactly number a and one number b such that the vector field F = conservative. For those…

A: Stepwise solution to determine the values of a and b for the vector field F = (3ay + z, 3ayz + 3x,…

Q: Please help me with these questions. I am not understanding what to do. Thank you

A: Step 1:Step 2:

Q: y = f(x) b C The graph of y = f(x) is shown in the figure above. On which of the following intervals…

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Q: Find the local maximum and  minimum values and saddle points of the function f(x, y) = y3 + 3x2y -…

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

Q: 1 1. Suppose we have the function f(x) = = and then we transform it by moving it four units to the…

A: If you have any problem let me know in the comment section thankyou.

Q: A circle of radius r centered at the point (0,r) in the plane will intersect the y-axis at the…

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Q: the answer is A, could you explain how using STOKE'S theorem

A: Let's See Solution using Stokes' Theorem Step 1: Stokes' Theorem StatementStokes' theorem…

Q: please evaluate both of the given integrals and state the technique used for integrals like this…

A: 1.∫−∞∞​4x2+4x+5dx​ Step 1: Simplify the denominator The denominator is 4x^2 + 4x + 5. Start by…

Q: GUIDED PRACTICE Apply the laws of exponents in each. 1. (4a³b²)(-2a²b²)2

A: The given expression is (4a3b2)(-2a2b2)2.

Q: Question 1

A: Part -(c) Plot the graph : Now, we can easily plot the parabola, indicating vertex V(2,2), focus…

Q: (b) / dx - 2 +C 1. Use the Fundamental Theorem of Calculus to solve the following: (a) (x³ + 1) dx…

A: Question 1: Using the Fundamental Theorem of Calculus

Q: x(t) =2t2-t y(t) = 1-3 Find dy/dx when t = 0. Round off to two decimal places.

A: We are given two functions, x(t) = 2t^2 - t and y(t) = 1 - 3t, and we are asked to find the…

Q: 5. Please solve this for me and show every single step. I am studying  and got stuck on this…

A: To find the area between two curves, we first need to find the points where the curves intersect.…

Q: A function is defined on the interval (-π/2,π/2) by this multipart rule: if -π/2 < x < 0 f(x) = a if…

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Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. y 5 f 20 30 t (a) Evaluate g(x)…

A: Step 1: Step 2: Hint:- In (b) I used mid-point theorem. Step 3: Step 4:

Q: can you explain why the answer is 1/3

A: Step 1: Given Region E The region E is given by: E={(x,y)∈R2:∣x∣≤1,∣x∣≤y≤2−∣x∣} This describes a…

Q: For the following function, find the full power series centered at x = 0 and then give the first 5…

A: Step 1:    Step 2: Step 3: Step 4:

Q: Use spherical coordinates to evaluate the triple integral ∫∫∫B square root^2x+y^2+z^2 dV , where B…

A: In spherical coordinates, the function x2+y2+z2 becomes ρ, and the volume element dV becomes…

Q: Use the method of disks to find the volume of the solid that is obtained when the region under the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Pls help me with step by step solution

A: If you have any help please let me know in comment box thankyou.

Q: Please help me with these questions. I am not understanding what to do. Thank you

A: To sketch the polar curve r = 3 + 5 cos(θ), we first convert the polar equation to a Cartesian…

Q: Consider the contour map of a function (x, y) below. Let F = Vo. Which of the following options…

A: Step 1:

Q: Find the equation of the line / in the figure below. Give exact values using the form y = mx + b. m…

A: Given the function  f(x)=10x and  Point : x=log⁡(9) Put the value of x=log⁡(9) in f(x),…

Q: 3 y 7 Find the length of the curve x= + on 3 ≤ y ≤5. 21 4y

A: If you have any questions let me know in the comment box thankyou.

Q: Draw the region bounded by the curves. y = 3x2, x = 0, and y = 3   Use the disk method to find the…

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Q: Please help me with these questions. I am not understanding what to do. Thank you

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Q: Suppose we choose independently X and Y to be two Uniform(0, 1) random variables. Use their…

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Q: Please sketch questions 1, 2 and 6

A: