Find the limit by rewriting the fraction first. lim (x,y) →(1,6) X#1 xy-y-4x+4 X-1

Q: 5-6 Find the area of the shaded region. 5. y = x³ - 3x (-2, 2) YA 0 (2, 2) y = x X

A: Application of integration

Q: Use the equation 3 1- x4 (Express numbers in exact form. Use symbolic notation and fractions where…

A: According to question,Given equation,11-x = ∑n=0∞xn            for x<1

Q: Given the following acceleration function of an object moving along a line, find the position…

A: Given;  a(t)=0.6t, v(0)=0, s(0)=5.

Q: Let u = (5,5), v = (1, 3), w = (17,-4). Find the vector x that satisfies 3u2v + x = 6x + w. NOTE:…

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Q: Express the integrand as a sum of partial fractions and evaluate the integra 0x²+2xx-x O 6…

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Q: In Exercises 21 and 22, determine a formula for the exponential function whose graph is shown in the…

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Q: List the first 3 terms of the sequence starting from n=1: n+1 − 1)" . 2n

A: an=(-1)n.n+12nfor first term put n=1

Q: Find the surface area of the part of the plane z = 3+ 7x + 6y that lies above the rectangle [1, 6] ×…

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Q: Find [5 50e0.03x dx

A: I=∫50e0.03xdx∫eaxdx=eaxa+c

Q: 26. Initial height = 5, limit to growth = 30, passing through (3, 15).

A: Given:- initial height =5, limit of growth=30,passing through 3,15

Q: √√3 9. ² 2 0 4x² (1-x²)z dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find and classify all critical points of f (x, y) = ax^n + by^n where ab cannot equal 0 and n ≥ 2

A: Given function is f(x,y)=axn+byn,  a,b≠0 and n≥2

Q: ((x+2)−2/3) + (x+2)¹/3 4. f(x) = x (1²(x+2)-2/3). Note: This is the form that the first derivative…

A: We need to find out the intervals where function is negative and where function is positive.

Q: Find the derivative of: 8x5 + 5x8

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Q: 1. Draw and set up the integrals for the area in the 1st quadrant enclosed by x = 4y² and x = y¹/2.…

A: I have solved step by step in detail...go through the solution

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² and suppose that f(9) = 13, f(13) = 3, f'(13)=9, f'(9) = 7…

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Q: By considering different paths of approach, show that the function below has no limit as (x,y) →…

A: Part A:

Q: Model the data using an exponential function f(x) = Abx. 0 1 2 f(x) = X f(x) Need Help? 400 Read It…

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Q: 2 1) Fird dy using implicit differentiation X² + y ²³ = 7xy 2) Find the ein of the normal line to…

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Q: Question 6 Determine the center of mass (x, y, z) of the homogeneous composite solid with a…

A: Determine the center of mass?

Q: For an online gaming store, the function n = f(p) gives the average of number of daily downloads, n…

A: p0 is the current price per download.f(p) is average number of daily downloads as a function of…

Q: QUESTION 1 If f(x) =x and g(x)=k-x are orthogonai 01 를 o oo o Im ~/ |m t/m 04 04

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Q: ]]] B e dV where E is enclosed by the paraboloid z = Evaluate x² + y² = 3, and the xy plane. 2 + x²…

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Q: Find the interval of convergence for the given series. ∞ Σ(n+ 5)!(x + 11)" n=0 Select the correct…

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Q: Suppose that f is a function given as f(x) = 3x + 1. Simplify the expression f(x + h). f(x + h) =…

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Q: A(x) = 2x³9x² + 4 Find the absolute maximum and absolute minimum value of A(x) over the interval…

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Q: Find the acute angle (in degrees) between the planes x + 3y - 5z = - 6 and 2x + y 4z = 9. Question…

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Q: Find a function ƒ(x) such that ƒ'(x) = −8x² + 1 and ƒ(0) = 1 ƒ(x) = |

A: f'(x)=-8x2+1f(0)=1∫xndx=xn+1n+1+c

Q: A car rental agency rents 420 cars per day at a rate of $30 per day. For each $1 increase in rate,…

A: Given,  a car rental agency rents 440 cars and charges $30 per car. Also, when he increases the…

Q: 5) x² √2x - x² S√zi

A: ∫x22x-x2dx since you have posted multiple question i can answer first question as per our company…

Q: Given t(x) = 2x² - x. a. Find the point of tangency to the curve at x = 3 b. Use the definition of…

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Q: How do I get the explicit solution of the exact ODE (5y−2x)y′ −2y=0?

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Q: 15. dx ₁ 1 16. 570 (2+1) - dx (x+1)¹/3 r

A: we can solve this as follows:

Q: 10. S 1 x²+2x dx

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Q: For the function h(x,y) = 3x + y xy-6 əh find and ax dh ду

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Q: Consider the following series. n = 1 Find the following limit. (If the limit is infinite, enter 'co'…

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Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then…

A: Please see the below picture for detailed solution.

Q: Find the derivative of the function f(X) = x^2-2x by four steps processing.

A: Given function:- fx=x2-2x

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

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Q: Graph the following equation using shifts of a basic function. f(x)=x2² +2 O O O

A: Topic = Function

Q: Evaluate the integral using s integration by parts (3 (r³ +9r² + 1)e³r dr

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Q: 5. ftan² x sec¹ x dx 6. f sin5 x cos x dx

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Q: 1 X 0.5 0 -0.5 -1 -0.5 0 0.5 1 Find the surface area of the portion of the bowl z = 7.5 7 6.5 Z 6 +…

A: The given surface is: z=6+x2+y2 and the equation of the plane is z=8.We need to find the surface…

Q: Compute the directional derivative of the following function at the given point P in the direction…

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Q: find the derivatives of the functions using the product rule. 1. √√625x² ⇒ √625 - x² x20 2.

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Q: 4 ¹ / ( - 6x² + + 6 - ¹ √e) de dx x6 Find + C

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Q: Find u and v if u+4v = 4i - k and 6u - v=i+j+k. NOTE: Enter the exact answers in terms of i, j and…

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Q: We know how to determine if a given table with x and y represents a function of x or not. In this…

A: x is a function of y    here we find value of c by equating two values at same point

Q: II. Identify the equation of the slope of the tangent line, the slope, and the equation of the…

A: Topic = Application of derivative

Q: Give examples of sets of three vectors that are Collinear Coplanar  Not coplanar Explain your…

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