(3x²y + 2xy + y³)dx + (x² + y² )dy = 0

Q: dy dx jeet yo

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Q: Calculate the derivative. g" (0), g(s) = es S+9 (Give an exact answer. Use symbolic notation and…

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Q: Find the present value Po of the amount P = $100,000 due t = 3 years in the future and invested at…

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Q: Sv Evaluate Select the correct response: O 2x² + 15x² + C 52² ²x² +10x³ + C 25³ +2²0 x ² + 3 O 5…

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Q: 30. Find the surface area generated when the portion of the curve y² = 12x from x = 0, x = 3 is…

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Q: Q3/ If f(x)= x=2x+1 X71, a=2 Find the followings; a) f(x) = x b) show that f(f(x)) = f (f(x)) c)…

A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…

Q: Rewrite sin(x + ¹(x + 11T) 6 sin (z + 11T) = in terms of sine and cosx.

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Q: lim- x-0 X

A: Given :limx→05x

Q: 10) lim TT X-- sinx-cosx - TT X- 4

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Q: (x) (2) : (x+yi)

A: Follow the procedure given below.

Q: An acute angle, 8, is in a right triangle such that sine- What is the value of cot 6?

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Q: What is the correct expression for L[f"](s) when L[ƒ] = 5e-³², f(0) = 5 and f'(0) = 0?

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Q: While buying a new car, Derek made a down payment of $1,000.00 and agreed to make month-end payments…

A: (a) The given data is: APR=4%

Q: Calculate the derivative. 5t ƒ"(1),_ƒ(1) f(t) = 1+1 (Give an exact answer. Use symbolic notation and…

A: see the answer and calculation below

Q: na tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is…

A: We use here properties of triangle to find the angle between spectator and hole

Q: 1. The integral of 34 dx is equal to: A. 4/1n3+ C C. 34/1n81 + C B. 34/1n27 + C D. 34/1n12 + C

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Q: Kiara invested her savings into a Registered Retirement Savings Plan (RRSP) at an interest rate of…

A: This question can be solved using the concept of compound interest.

Q: Consider the function ƒ(x) = 5x³ – 4x on the interval [−5, 5]. (a) The slope of the secant line…

A: Given, f(x)=5x3-4x

Q: 1) An ostrich runs along a mountain path with coordinates given by r(t) = a) What is the change in…

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Q: Evaluate the following indefinite integral. 7 1+8t -dt 5t (Type an exact answer.) √ 1+8t 5t -dt=

A: The given integral is ∫1+8t75t dt

Q: Find laplase 4-f(t)=e²¹.t³.

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Q: 1. f(x√ x² -9]dx 10.

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Q: Complete the table below for each of the functions given: f(x) = x(3x-4) f(x) = 5x² - 6 f(x) X -1 -3…

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Q: Problem 1: The graph of f and g are given. Use them to evaluate each limit, if it exists. If the…

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Q: - Second order : non- homogeneous Equations with Constant Coefficients d²y 4-- + 16y = 10 cos 4x dx²

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Q: Find the Volume, Surface area and Lateral area of the rectangular prism shown below if the height of…

A: Concept: The volume, surface area, and lateral surface area of the rectangular prism are:…

Q: A) Consider the function f(x) whose second derivative is f"(x)=4x+3sin(x). If f(0)=4 and f'(0)=4,…

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Q: 1-ex 18. Determine lim x→0 x A. 0 C. 1 B. -1 D. DNE x²-1 19. Evaluate lim x-0 √x-1 A. 2 C. 1 B. 4 D.…

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Q: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

A: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

Q: Suppose y is a function of x. Find dy/dx. (a) g(x) = x + 1/x − 1 (using the definition

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Q: Which of the following conic sections could be formed when a plane intersects a cone at a shallow,…

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Q: (6) Solve the following differential equations of 1 xy³dx + (x²y² +1) dy = 0

A: To solve the differential equation.

Q: Consider a trough with the shape below. 2 m X 5 m 8 m It is full of water, which has a density of…

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Q: Use the Chain Rule to find the derivative. y = cos (e40) (Express numbers in exact form. Use…

A: Given.

Q: dy dx Assume x and y are functions of t. Evaluate for 3xy-3x+2y³ = -78, with the conditions = -6,…

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Q: Find the volume bounded by the function z=f(x,y)=xy√√x² - y² over the rectangular region 8≤x≤10 and…

A: Volume bounded bya function z=f(x,y) and a region R is given byV=∬Rfx,ydydx

Q: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

A: Given: x= y2 + 4y, x=0

Q: #15) Determine y' a.y=sin 2x b. y = x² sinx co y = sin(-x) Determine #16.> d.) y = cos x sin x e-> y…

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Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

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Q: 27. Find the area enclosed by the curve r = a (1 - sin e). A B. 2a² C. 3a² D.

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Q: Determine the domain of the following function f(x) = x²+x-6

A: Topic = Functions

Q: #2.) Calculate the slope of the tangent to the given function at the given point or value of x b.)…

A: 2.b) gx=x+2, P-1,1d) fx=5x-2, P4,52 Note:     multiple questions are given, we are answer only one…

Q: 3. Evaluate the integral sin ede from 0 to pi/2. A. 2x/3 B. 3π/5 C. 3m/16 D. R/4

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Q: 4. The number of people living in Canada rose by 1.2% to 38.5 million in 2021. If this population…

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Q: Find the accumulated present value of a continuous stream of income at rate R(t) = $138,000, for…

A: In this question we have to find the Present Value.

Q: 2) Find all the second-order partial derivatives of the functions: -1 a. f(x, y) = tan-¹ b. h(x, y)…

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Q: #7.) Evaluate the following limits C a lim 4x2-36 X->3 2x-6 E by lim X-72 Climx-5 X-75 √x-1-2 A…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find the differential equation of the family of circles with centers on the line x – 2y = 3 and…

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Q: X dy + dx y = 752 2

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Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

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