Direction: Find the differential equation of the family of curves described. 4. Ellipse with center at the origin.

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A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose by cutting equal squares out of…

Q: 2pq If sin A = ,where A is an acute p2+q² • angle of a right triangle, what is sec A? p² + q? p² +…

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Q: AVERAGE VALUE OF A FUNCTION QUESTIONS A. 3x2+4x-7, [-2, 5]

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. Solve the given the equation using the integrating factors found by inspection. [2х + усos(ху)jdx…

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Q: 1) y= 3cos 4 +2 4 a: b: Period: d: Phase Shift: S C:

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Q: Let f be a continuous function on [a, b]. Which of the following statements is false A If k is a…

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Q: Note: you will need to find both the gener e homogeneous problem, and a particular so mogeneous…

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Q: ( cos³x dx sin*x 9.

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Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy Solve the differential equation. Choose your…

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Q: 1 a. f(x)3D 4 b. g(x) = - X c. h(x) = 3 -

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

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Q: QUESTION 16 Larger standard error of an estimated parameter will lead to narrower confidence…

A: Given statement is Larger standard error of an estimated parameter will lead to narrower confidence…

Q: A rancher wants to fence in a rectangular area of 18000 square feet in a field and then divide the…

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Q: Given than | f(x) dæ = 4 and f (x) da 8, which of the 3 following is NOT TRUE?

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Q: Determine the horizontal asymptote of the function. If none exists, state that fact. f(x) =5 e 4x…

A: Given function is: f(x)=4e4x

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -9i + 80j - k v = 9i + j - k O…

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Q: Find the gradient of the function at the given point. f(r, y) = 3x+52 +1, (2, 1) %3D O 3i+10 O 3i+5j…

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Q: Find dy and simplify whenever possible. dx sec x+tan x 1. у 3 sec x-tan x 2. у 3 е * соs e * — sin e…

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Q: S sin 2x sin 4x dx 7.

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Q: 9/ Evaluate (cos* 0 – sin* 0)de T/12

A: Note that: cos4θ-sin4θ=(cos2θ-sin2θ)(cos2θ+sin2θ)=(cos 2θ)(1)=cos 2θ

Q: Simplify -3j 1234567+ 4j98765432 – 5j-32198765 + 6. What is the imaginary part of the result? O 2

A: Given: -3j1234567+4j98765432-5j-32198765+6

Q: The value of a dollar decreases by 22% every year. Find the half-life in this situation.

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Q: Find the most general antiderivative or indefinite integral. csc 30 de csc 30 - sin 30

A: The objective is to evaluate the integral.

Q: -Ihd the x-values of all points where the function has any relative extrema. Find the value(s) of…

A: f(x)=-103x3-512x2-5x+19f'(x)=-3×103x2-51×22x-5⇒f'(x)=-10x2-51x-5f'(x)=0⇒10x2+51x+5=0By quadratic…

Q: Two ships leave a dock at the same time, one sails northeast at the rate of 9 miles per hour and the…

A: Let A and B denote the first and second ship

Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

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Q: Differentiate. f(x) = - 2 e -X t'(x) = ]

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Q: 10. csc?e cot e1-5 cot 6 de ſ csc

A: Let's find.

Q: dy - (x- y + 1)'dx = 0

A: The objective of the question is slove the differential equations.

Q: Let the region R be the area enclosed by the function f(x) = Va and g(x) = x. Write an integral in…

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Q: dr Find if r sin[cos(-0)I. dr dr cos[sin(-0)] = sin 0 cos(cos 0) d0 d0 Option 3 Option 1 dr dr - sin…

A: The objective of the question is evaluate the derivative of the given function. Note -  As per our…

Q: Your professor said that this cannot be solved using Power or Logarithm Formula alone. Other formula…

A: The general form of integrand to apply power formula∫fxndx = fxn+1n+1 + CIn the given problem,…

Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Which of the following is not equivalent to tan"? 2 1- cos 0 csc 0 + cot 0 sin 8 O Option 1 O Option…

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Q: Arectangular bin 4 feet long. 3 feet wide, and 2 feet high is solidly packed with bricks whose…

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Q: Calculate L4 for f(x) = 24 cos () %3D L4

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Q: 7. (D+ 3)'y = 15x'e-3* 8. (D- 4)'y 15x²e**. 9. D (D – 2)²y = 16e2 10. D2(D + 3)²y = 9e-3x 11. (D² –…

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Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 2. у — С1 3D С2е -4х 2. у —…

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Q: Find the general solution for the following equation: y''' + 3y'' – 4y' – 12y = 0

A: Solve the differential equation by assuming eλx for some constant λ.

Q: Consider the function f(x) = x2 - 9 (a) Find the domain of f. (Enter your answer using interval…

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Q: 11m Convert to its degree measure. 6.

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Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what wil be…

A: Cylinder, Hemisphere and Cone have same bases i.e. all three have same radii (say r) Also the height…

Q: 3 37 Calculate L4 for f(x) = 24 cos () over [, *). %3D L4

A: The given function is: f(x)=24cosx3 The given interval is: 3π4,3π2 So, ∆x=3π2-3π44=3π44=3π16

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: Learning Task 3: Identify whether the given graph illustrates an extreme value theorem or not.…

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Q: Find the gradient of the function at the given point. In(x2 - у) - 3, (2, э) Vz(2, 3) = %3D

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Q: A solid spherical steel ball, 20 cm in diameter, is placed into a tall vertical cylinder containing…

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Q: y dy J 725 – 16y 2.

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