2. lim (x - Inx)* x)² 2-0+

Q: Partial Sums An arithmetic sequence has a first term of -1 and a common difference of -17. If S₁,…

A: We have to find the sum

Q: 1. A farmer wants to fence in a field and divide it into four side by side, equal areas. If he wants…

A: From the given data And, xy=8000&f(x,y)=2x+5y is the parimeter to minimize.

Q: Let h(x) = f(x) = g(x). If f(x) = 9x² and g(x) = 8x, what is h'(-5)? - Do not include "h' (-5) =" in…

A: SOLUTION-

Q: 6. y dy 1+√√y 11

A: SOLUTION-

Q: Find all points where the function has any relative extrema. Identify any saddle points. f(x,y) =…

A: f(x, y) =4x2+6xy+3y2-4x-8 In this question, we need to find all the points where the function has…

Q: dy 1. If (x + y)² = x² + y² prove that 11 I Alx y

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 2. You wish to construct a topless crate with a surface area of 230in² and the base with one side…

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Q: - 6 = ₁6 -X

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Q: Find I must find the indefinite integral then I need to use the result to calculate the definite…

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Q: The population of a city is 145,000. It declines continuously by 3% per year. ..... Assuming this…

A: Solution-

Q: Evaluate the integral. (Use C for the const dx 15 √ 5x(1 + 5x)

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Q: a. y = 3et-2 et +1

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Q: Exercise 25.7.1. Give the Taylor series of the function 1 f(x):= 3x² around the point c = 1 and give…

A: The function is given by, f(x)=13x2 = 13x-2    ⇒f(1)= 13Differentiating the function 1, 2 , 3 ...…

Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: Evaluate efffxv xdv,where D is the tetrahedron with vertices (0,0,0), (2,0,0), (0,2,0) and (0,0,2).

A: Given problem:- Evaluate  ∫∫∫D xdv ,where D is the tetrahedron with vertices (0,0,0), (2,0,0),…

Q: Find fx (x,y) and f, (x,y). Then, find fx(1, -2) and fy (-3,3). f(x,y) = -2xy +9y² + 10 fx(x,y)=

A: We can find the answer as below.

Q: 2. A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion,…

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Q: Question 1. Sketch the following regions in the xy-plane. Make sure to shade the region and label…

A: To sketch the given regions in xy plane.

Q: A Consider triangle ABC drawn in a circle of radius 6 cm with vertex C at the centre of the circle,…

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Q: Integrate the following (3x + 5)dx 1. S (x - 1)(x² - 1) -

A: Given:∫(3x+5)dx(x-1)(x2-1)Perform Partial…

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

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Q: Find T,N and k for the curve:

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Q: What is the volume in cubic units of the solid formed when the region is revolved about x = -1?…

A: The objective is to find the volume.

Q: Find an equation of the tangent line to the given curve at the specified point. x² - 1 y = (1, 0) "…

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Q: For the function f(x,y) = √y² + 5x², find f(2, - 5), f(− 1,2), f( – 3, – 5), and f(0,9). f(2,-5)=…

A: Given query is to find the value of the function at indicated points

Q: The Bradford family wants to establish an ongoing scholarship award at a college. Each year in June…

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Q: Problem 7. Find the limit lim f(x), where 2--2 x²-4 2+21 x-2

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Q: A real estate firm estimates that the value of a certain property will be given by the function V…

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Q: Use Cartesian coordinates to set up the iterated double integral given by [[[ y² dV D where D is the…

A: Given problem:-

Q: 1-) x ² ( xdx tydy) = (x² + y²) dx ; x =1 when y=2

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Q: Given that -3 9+x² following functions: (-1)n+1 32n+1 4x (9+x²)² Σn=0 2. g(x) = x2n. Obtain the…

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Q: A driver drove 50 miles in 50 minutes. How many miles per hour was he driving?

A: We have to find how miles cover in 1 hour .

Q: x'dx √√x(1-x)

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Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: Concept: Linear approximation: Approximating the value of a function at a point with a line is known…

Q: 8. Find the area of the region in the first quadrant bounded by the curves y = sin x, y = cos x and…

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Q: For the following function, find the equation of the tangent line at the point (1, 2). f(x)=√9x² - 1…

A: We have to find equation of tangent line

Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

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Q: 3.lim X→π In(cos2x) (π - x)²

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Q: Find the derivative of the function. s = t In |t| ds dt 11

A: The objective is to find the derivative.

Q: West Z dt x North JOAN dx dt ANDRES = 25km/hr dy dt y 18km/hr

A: Given: Speed of Andres  = 18 km/hr Speed of Joan  = 25 km/hr

Q: 5. Find the area bounded by the parabola y = x^2 - 3 and the line y =1.

A: Given problem:- Find the area bounded by the parabola y = x2 - 3 and the line y = 1 .

Q: Solve the non-homogeneous linear recurrence relation. (note: the non-homogeneous part is a constant…

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Q: A real estate firm estimates that the value of a certain property will be given by the function 517…

A: To solve the following problem

Q: 1. Let 1 + x = +0 (-1)^ xn no Find a power series representation for 1+3x²

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Q: In a certain country, the number of people who drive electric vehicles can be mod the function P(t)…

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to comput derivatives. a. h'(2) b. p'(1)…

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Q: Find the Cartesian equation of the plane containing the point P(1,3,-2) and the I T = (0, -1, 4) +…

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Q: The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The…

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Q: Evaluate the following integrals using a trigonometric substitution. Hint: complete the square for…

A: Please see the answer below.

Q: lim x4 1 x³-64 Ꮳ 5 1 vx2+9

A: