L'Hopital's rule of 3*+1 2*+ x lim.

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A: Given: f(x)=x/(x+3)

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Q: 2. The differential equation (4x'y -6xy-2x-3dx + (2x*y – 2.x' kdy = 0 is exact because ƏM ON dy

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Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1 and y-intercept 15

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A: Given :r=10cos(10θ) 0≤θ≤2πTo find : The area of the region   

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Q: Find the inverse function of f. f(x) = 5 + 7x

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Q: 1-cos 7x lim ズ→0 2x

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Q: 2. (2.xy – sin x}dx+ (x² - cos y ldy =

A: We will solve the given differential Equation.Below find the solution in the image.

Q: Find unit vector in the direction of . Show all your work on your own paper; leave the box below BLA...

A: We are asked to find the unit vector in the direction.

Q: singx 4. lim x-0 sinnx

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Q: The differential equation 3y(x² –1)dx+(x² +8y– 3x}dy = 0; is exact because ƏM ƏN dy Əx

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Q: Margo borrows $1100, agreeing to pay it back with 5% annual interest after 16 months. How much inter...

A: Given:   P = 1100    r = 5%     t = 16 month

Q: 2. (2.xy – sin x)dx + ( - cos y dy = 0

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Q: 4 sin“ x cos° x dx

A: As per our guidelines we are supposed to answer only one question and rest of the question will be r...

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Q: If f(x) = x² +- k find k so that f has a critical number at x = = 3. а. 6 b. 27 с. 216 d. 54

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Q: According to the formal definition of the term "parallel," two vectors are said to be parallel to ea...

A: According to the formal definition of the term "parallel," two vectors are said to be parallel to ea...

Q: 5. Write these sets in set-builder notation, where U = {1, 2, . . . , 20}. (a) {11, 12, 13, 14} %3D ...

A: As per our guideline we are supposed to answer only three subpart of question you can repost other s...

Q: (2х — 3)* y = - х +1 .2 х*у + 3ху3 — х %3D 3 X =

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Q: FIND THE AREA BOUNDED BY THE WRVE ay THE x-AXIS AND THE UNE X- 2a.

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Q: Francesca's gross pay for her pay period was $3,400. How much of her earnings were withheld for Medi...

A: The medicare tax is 1.45%.

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Q: FIND THE INDICATE ORM! DERIVATIVE IN TIS SIMPLIFIED (x2-3x)3 1. y= ; d'y/dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: representing all ellipses having its centers at the origin and transverse axis x.

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Q: Which of the following uses integration by parts? (1) fxcos.x°dx (3) fxlnxdx (2) [x'e*dx - In x dx (...

A: we have to find the integration by parts from the following

Q: 4. The differential equation x(3.xy-4y' +6)dx+(x' - 6x²y² -1)dy = 0 is exact because ƏM ƏN Əx

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Please explain, in your ow...

A: Aim: to find the indefinite integral: ∫(36x5-18x)dx Concept used: If the indefinite integral is in t...

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Q: find dx/dt at x = 3 if y = -5x^2-4 and dy/dt = -3. dx/dt =

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Q: 3x 7. lim -4(2x+4)

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Q: solve the area bounded by the curve y=4x-x^2 and the lines x=-2 and y=4

A: To find out the area bounded by the curves.

Q: Compute the partial sums S3, S4, and S5 for the series and then find its sum. 1 n + 3 1 n + 2 n=1 (U...

A: The given series is  ∑n=1∞ 1n+2-1n+3

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A: This question is based on formation of perfect square and solving inequality notation.

Q: Evaluate: mod 13= -19 div 7

A: Find your answer below 

Q: Solve the equation using linear equation or bernoulli equation 2xy dx+ (y^2-x^2)dy=0

A: As per our guidelines we are supposed to answer only one question.kindly repost other question as a ...

Q: Laplace Evaluate the following. Differential Equation 1. L{e* + cos 6t – est cos 6t} ,3t -

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Q: x° + x2 + 1 (c) dx. x3 – x2 +2x - 2 arctan x (d) x2

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Q: Determine the order and degree of the following equations: a.) (d^2y/dx^2)^2 = (dy/dx+4)^3/2 b.) sqr...

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Q: 18. The points (3, 0), (x, 0). (x, ). | are the vertices of a rectangle, where x 2 3, as shown in th...

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Q: Find an equation of the tangent line to the curve y =√x  at the given point (4,2) Use the definitio...

A: The expression for the equation of the tangent line is: y-y1=mx-x1 Where, 'm' is the slope of the ta...

Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

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