Use the disk method to find the volume of the solid generated when the region bounded by y = 8 sinx and y = 0, for 0≤x≤, is revolved about the x-axis. (Recall that sin ²x=(1- cos 2x).)

Q: Use the elimination method to find a general solution for the given linear system, where…

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Q: A certain population of squirrels is represented by the function P(t)- 31(e), where P is the number…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: At what points of R² is the following function continuous? xy if (x,y) = (0,0) f(x,y) = 5x + 4y 0 if…

A: This is problem of limit and continuity. Based on the general formulas and concepts we will answer…

Q: Using the graphs of the functions y=f(x) (red dashed line) and y = g(x) (blue solid line), evaluate…

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Q: 5.) (ya+yx) dx -x ² dy = 0 ny Simplier) + xbx = vbe+bv=xb. Y = VX keta dy=vdx + xdvo (v²x²+xx²) dx…

A: We want to solve the given homogeneous differential equation.

Q: a) Find an equation of the line through P(1,-2,4) with direction vector v=[2,4,-4]

A: To find the equation of line.

Q: Helicopter Task Introduction: An observer at Point A makes measurements that show that the peak of…

A: We need to solve Helicopter task.

Q: f(x) = x²+6x+5 2-1

A: I am attaching image so that you understand each and every step.

Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: 1. Using the diagram below, fill in the blanks. B A D G F H E Column A: a) AB+ BC b) FE+FG c) HG+FB…

A: We need to fill in the answers.

Q: Question 2. Sketch the following regions in the xy-plane. Make sure to shade the region and label…

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Q: sin x 4-5 sinx+sin2x dx

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Q: Use the difference an+1 an to show that the sequence {n-2"} is strictly increasing or strictly…

A: Given problem:-

Q: 2 4. Find the length of arc of the curve x3 + y = 1 in the first quadrant from the point where x =…

A: Let's find arc length of given curve in first quadrant.

Q: Find the vector standard a Ā= (-3.4.5)

A: we know that if v=<a,b,c> then its standard form is v=ai^+bj^+ck^

Q: Find the absolute maximum and minimum values of the following function over the indicated interval,…

A: To find the absolute maxima and minima  of a function f(x)(i) find x such that f'(x)=0(ii)  find the…

Q: Evaluate the indefinite integral by using the substitution u = 6-x* to reduce the integral to…

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Q: Hand written plz 2. Standardize the following LP model. max z = −3x₁ + 8x₂ - x3 + 12x4 - - 3x₁ +8x₂…

A: Given

Q: Solve the initial-value problem y"+5y'+6y=0, y(1)=2, y'(1) = 3

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Q: Q6) Find the Area bounded by the curves y = √x and x = 2y-y² ,with sketch.

A: First we find the limits of integration.

Q: solution f= ग्र 27] L Ceg Ceq = 25.35nf How did he get the value inside the circle look 2п бол х103…

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Q: Ketch a graph of f(x) = 3 2 x + 2

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Q: Write an augmented matrix and use elementary row operations in order to solve the following system…

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Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-¹)²

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Q: 14) The solid is generated by rotating R about y = -3. 15) The solid is generated by rotating R…

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Q: Write f(x) = x 2 − 10x + 8 in vertex form.  precal

A: Given :f(x)=x2-10x+8

Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

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Q: дуту (x) 415 = к+к ht

A: We need to solve D.E.

Q: . Solve for and simplify the result. dy dr y = (3x-2)5 (2²+5)6

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Q: Find the derivative of f(x) = 7. A. 7 B. 0 What is the derivative of In(x)? A. xin(x) B. 1/x C. 7x…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: The velocity of a particle varies directly as the product of its position and time squared. The…

A: To find the differential equation.

Q: Problem 6 Use any method to find the inverse of the matrix A below: -2 1-67 A = 4 0 12 12 0 39 Pakis

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Q: Find all the x-intercepts and end behavior of f (x) = x3+ 4x2+ 4x.

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Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

A: A tank initially holds 80 gal of a brine solution containing 18 lb of salt per gallon. At t=0,…

Q: 3 -6 -4 -3 4 Let y = V1 = 1 5 -1 Compute the distance d from y to the subspace of R4 spanned by v₁…

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Q: Q4) Find dy /dx for the following functions : a) y².cotx = [sin(x.y)]-¹ b) y = (In x + x) tan x

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Q: find the X values if any at which f is not continuous fx=4x^2-cos(pix)

A: We have to find value x if any at which f is not continuous  f(x) = 4x2 - cos(πx)

Q: 10. Which pair of lines are perpendicular? a. -5x+y+1=0, 5x+y+1=0 b. 2x+3y-7=0,-3x-2y+2=0 c.…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx y = S₂ 9x² +9

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Q: 8. Determine a vector equation for the plane with Cartesian equation: 2x -y + 3z-24 = 0

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Q: Find the equation of tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: A radioactive substance decays in such a way that the amount left after t years is given by A=100e…

A: Follow the procedure given below.

Q: The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current…

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Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

A: Let's find amount of salt at t=10minute.

Q: Explain why the integral is improper. 49 1 dx 1.6 1.4 1.2 Y 0.81 0.6 0.4 0.2 10 20 O At least one of…

A: The objective of the question is evaluate the improper integral.

Q: 14. Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

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Q: Suppose that vectors and ware such that || = 5, |w| = 3, and the angle between them is 30°.…

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Q: 3. Given f(x) ==, determine the maximum or minimum values if any using an interval table. X

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Q: Using Gauss Jordon elimination, determine the intersection, if any of the following sets of planes…

A: We have to use Gauss Jordan elimination