Ib 1b State the E, & definition of the limit, then use it prove lim (3x − 1) = 5. x 2 Note: express your solution based on the question asked in a well- organized, clear and concise way.

Q: Let L be the line segment between (1, 2) and (4, -4). Find the area of the surface generated when L…

A:

Q: 5. Recall that y = sec-¹x (with domain x ≥ 1) means sec y=x and 0 ≤y</2 or T ≤ y ≤ 37/2. Use…

A: To prove

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A: Let,

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Q: Consider the following equation. x²7xy-y²-5y = -47

A: x2−7xy−y2−5y=−47

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A: Given, .Given,  f(0)=2, f'(0)=18.We know,

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A: Given equation, We know,

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Q: 2. What is the equation of the circle that passes through (3,-4), (5, -6), and (1, 2)? 3. Find the…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

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A: The region enclosed by planes

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A: ......(1)Find the equation of the tangent line to the curve at the point

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Q: Solve the differential equation. dy √xy dx = dx = 2, x, y> 0

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Q: Please complete parts (d) and (e)

A: To solve part d and part e, answer of part c is required.

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Q: 3. Solve the following homogeneous differential equations a. y"-4y'+4y=0

A: To solve the following homogeneous differential equation.Note: Since the student has posted multiple…

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A: Find an equation of the line pass through (-4,-2) and (4,2)

Q: Compute the value of the improper integral. (If the integral diverges to ∞o, type oo; if the…

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Q: Find the first partial derivatives of f(x, y) = 9x³y° + 6x³y² +2. af ax ||

A: Given, .Formula of partial derivatives:

Q: 10. A 12m ladder is propped up against a wall. If the bottom of the ladder slides away from the wall…

A:

Q: atives of point (x, y) = (2, 3).

A:

Q: (a) y = 2x - x², -x², 1/2 ≤ x ≤3/2; about the x-axis.

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: Find the value by writing the argument using the number 5 and using the value log 5 = 0.6930. log 25…

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A: we are given the function and we need to find the critical numbers.

Q: MY NOTES Perform the indicated operation and simplify if possible by combining like terms. Write the…

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Q: How do I prove, |3- x/3| 9 (1 - x/3x)=-2

A: If is a function and then we say  if for any  there is  such that .

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Q: Use a calculator to evaluate each of the following. Give the answers correct to four decimal places.…

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Q: In 2004, an art collector paid $155,328,000 for a particular painting. The same painting sold for…

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Q: K What is the slope of the line tangent to the graph of y=tan(-x) at x = - 4? The slope of the…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 16 -…

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Q: Write a polynomial f(x) that satisfies the given conditions. 1 Polynomial of lowest degree with…

A: We are given the two roots of apolynomial and their multiplicities and also the value of the…

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A: we need to find out the linear approximation of the given function at the given point."Note that as…

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A: we need to find out the derivative of the given function.

Q: Use the FOIL method to find the indicated product. (9x - 72) (3x - 7z)

A: By using the FOIL method to find the following product.

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Q: es of x in the interval [0,2ë] at which the graph 0 as a horizontal tangent.

A: