lim x→1 √2x+7+√x+3-5 x-1

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: See below the answer and explanation

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Q: Find a plane containing the point (7,-3,3) and the line x(t) - 28t y(t) z(t) = = = 2-t 7 + 8t…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 4) y = 3 - x + xlnx solves y' = lnx

A: Given query is to find expression is solution of differential equation.

Q: Find an equation of the tangent line to the curve 2(x² + y²)² = 25(x² - y²) a lemniscate) at the…

A: Given query is to find the equation of the tangent.

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Q: Let f(x,y)=√x² - y² Which of the following regions are in the domain of f D Ос D to B

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A: Note : I can solve only first 3 parts.

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Q: Find by implicit differentiation. dy dx dy dx || x2+ + 11xy + y2 = 4

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Q: i cannot see the solution please resend

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Q: y(3) +2y"-y' - 2y=0; y(0) = 1, y'(0) = 2, y''(0) = 0; -2x Y₁ = ex, y₂ = ex, y3 = e e particular…

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Q: lowing integrals. [x² 49. x² cos 5x dx

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Q: What is the range of f(x)-¹ = cos¯¹(0)₂ A C D [-] 2 2 [0, π] [-1,1] (-∞, ∞0)

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

Q: suppose f(x) = a (x-2)3 (x+1)2 The zeros of the above function are 2 with multiplicity 3 and -1…

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A: Let amount of vinegar needed is denoted by = Vamount of olive oil needed is denoted by = O

Q: 17. A man of height 1.8 m walks away from a 5-m lamppost at a speed of 1.2 m/s (Figure 10). Find the…

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Q: Solve the following inequality. x² - 4x>5 Select the correct choice below and, if necessary, fill in…

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Q: Compute r"(t). r(t) = + (5t³)j + (4 ln(8t))i

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Q: Evaluate the definite integral 4 3π 4 3 cot csc²0 de 8

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Q: The following graph is the graph of a rational function. O True O False

A: First write the function of the give graph then check whether it is ratio of two polynomial or not.

Q: In a circular city of radius 4 kilometers (centered at (0,0)), the population density is given by…

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Q: Find the domain of the function. (Enter your answer using interval notation.) X f(x) 64 x²

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Q: (7) Determine which sequence converges. Justify (2) Σ n4 2n

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3. Consider the function where x = (1-y)-¹. (a) z = x² – ³x + √/1₁ + 1³₁ V Find the partial…

A: Given z = x2 - e5xy + y1-t + t3x = ( 1 - y )-1

Q: Monica has recently inherited $8900, which she wants to deposit into an IRA account. She has…

A: The given data is: P=$8900r=5% (account 2)Time t=5 years  To find: How much would Monica's balance…

Q: Find the derivative of f when f(x)= 3tan an-¹+51 +5 ln(16+x²).

A: given function is :- f(x) =3 tan-1x4+5ln16+x2then we have to find its derivative now ,     f'(x) =…

Q: Let f(x) = xe-4x A. Find f'(x). C. Find f'(x). B. Identify intervals where the function is…

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Q: Examine the graph of the given function and determine whether the function is even, odd, or neither.…

A: Given: f(x)=6-2x

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Q: The following set of ordered pairs is a function and is one-to-one. {(0, 0), (1, 1), (2, 8), (3,…

A: To determine whether the given set of ordered pairs is a function or not.

Q: Find dy by implicit differentiation. dx 5x² + y² = 25 dy dx =

A: Given equation 5x2 + y2 = 25