1. (3x²+ 2y²)dx + 2xydy=0 2. (x- 3y + 3)dx + (3x + y + 9)dy = 0

Q: Find the general solution of (x+2y-4)dx-(2x+5-y)dy = 0

A: The given differential equation is  (x+2y-4)dx-(2x+5-y)dy=0

Q: 22+88

A: The given data is: 22+88 To find the value of the sum.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given that  required plane passes through point ( 7, 6 , 6 )  and perpendicular to the vector having…

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

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Q: x2 - x- 6 Evaluate the lim *2 7x- x²-12 3/7 O does not exist O None of these O 2/5 O 417

A: topic - limits option none of these will be applied as 2/7 is not in the options

Q: uantity of cookies sold when the price per cookie, in cents, is x. Use this information to answer…

A: Since we are given with the multiple number subpart answered according to the guidelines

Q: Graph the equation below. Choose the correct graph. y = 5.5* OA. O B. OC. OD.

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Q: 1. Find the radius of convergence and interval of convergence of the series. (a) (-1)"(n+1)"a²" n=1

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

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Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

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Q: %3D What is the slope of the function y = 3x² + 5x – 7 at (-1,-

A: Given query is to find the slope of the function.

Q: At which points on the curve y = 1 +°40x³ – 3x³ does the tangent line have the largest slope? | (x,…

A: Maximize slope

Q: 3x* - 4x2 +3x – 6 Evaluate lim x-0 5x- x2 – 3x5-2x -1 does not exist O 1 O None of these

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Q: Find Sc F · dr for F = 3yi – (sin y)j on the curve counterclockwise around the unit circle C…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y?, (7, 3, 40)…

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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: Use implicit differentiation to solve the following related rate problems: (Include a properly…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: (x? - 1)² dx = x$/5 - 2x/3 + x + C Select one: O True O False Jdx/(1 - 2x) = 1/2 In|1 - 2x| + C…

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Q: estion Evaluate:S sin (3x) cos³(3x) dx r answer estion Ising Trigonometric Substitution, evaluate: -…

A: Solution:

Q: what is the area between the curves: y = 7 cos( pi*x),    y = 12x2 − 3

A: 7cos(πx) and 12x2-3

Q: .2 xdx Evaluate (x²-2)5

A: Use simple integration formula.

Q: 2x

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Q: Question x*-5x³+6x²–18 Using Partial Fraction Method, evaluate: S x3-3x2 Your answer

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X→ー0 2x4 +3x +2 f(x) =…

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Q: (b) If a > b and c > 0, then ac > bc.

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Q: A stellar object is emitting radiation at 1820 nm. A detector is capturing 7 x 10' photons per…

A: Please refer to the image below

Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z ver the curve c(t) = (et, t2…

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Q: dx The integral of the given function S is xVx2-9 a. -Arcsin+ C 3 3 b.- Arctan+ C 3 3 1 с. 3 -…

A: Given query is to find the integral.

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

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

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Q: Write an equivalent exponential equation. 2 log 8 4= 2 /3

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Q: Find a point Pon the line and a vector v parallel to the line by inspection. Enter the vector ias i…

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Q: nn - 1(x) dx n + 1(x) dx wing. of the following is correct for odd powers of sine. 5....n · 2n 2n…

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Q: a2f_ If f(x, y) = xe?y + 6xy, then is given by: dydx O 2xe?y + 6 None of these e2y + 6 2 xe?y + 6 2…

A: We have to find the derivative

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Sie cos e sin 20 de t/3 T/6

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Q: Using trigonometric substitution, the integral / 2-x² dx x4 is equivalent to x/3 A 8 sin?0 cos?0 de…

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Q: The shaded region shown below is bounded by the functions f(x) = -4x? + 10 and g(x) = x + 6 and the…

A: area

Q: given point 1. y = 2x° - 3x² - 2x + 5 ; where x 1

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

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: 4. V40-4v-v dv

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Q: Find the iimit oT X SP approaches zero from the left. x -3.62330136 t-0.827974189 4- 2 10 12 does…

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Q: The shaded region shown below is bounded by the functions f (x) = -x2 + 0.5x + 10 and g(x) = -1.5x +…

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Q: Suppose the position of a particie is given by parametrc equations x(e) = -3 and y(t) = 2?. (a) Find…

A: The given data is: xt=t3-3yt=2t2  (a) To find the particle's position (x,y) at t=3

Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 = -4…

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Q: xdx Evaluate (x²-2)5

A: We have to use rules of integration to solve the question

Q: An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates CCW. Let θ…

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

Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: Solution :let, side of square=xArea of square=Adxdt= 8 cm/secA= 36 sq. cmA=x2    Area of square=side…

Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

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

Q: he sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

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