2. Find the intersection point of the tangent lines at the points (1/2, 2) and (2, 1/2) to the graph of the function f(x) = 1/x.

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Q: 14. If y=¹ 2+10x (A) 0 " (B) then limy is x-0 12 HIN (C) // (D) does not exist

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A: Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by…

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A: To show that limn→∞ n!n=∞

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A: Given :gx=ax-b+c

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Q: 3. The demand function for a particular product is given by D (x) = √0.75x² + 5x + 190 dollars,…

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Q: Describe {x : x2 + 2x < 3} as an interval. Hint: Plot y = x2 +2x − 3.

A: Given: {x:x2+2x<3}

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Q: ar 아 Q10: If y2 + xz = 2, then 2 at (-1,1) is: a) h12/9 이글 c) 1/2 c) 2 d)-2 d) 8/9

A: To find double derivative of given function

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Q: QUESTION 2(a) Solve that the following first order ordinary differential equation (xy² + 3yx²)dx +…

A: Let's solve given differential equation.

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Q: Use a sum or difference formula to find the exact value of the following. 7π 2π 2π 7π + sin sin 18 9…

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Q: 1) show whether the infinite series converges diverges 1b) 2 (2²+5) n=1

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Q: Given the function, (1)(x + 3) (1)(x-2)' a point of discontinuity can be found at the point (3₁ –…

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Q: Find the derivative sin x (a) y = (In 2)10cos x; (B) y = (x² + 1) of each func

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A: 8. Given that y=3x2, x increases at a constant rate dxdt=2 cm/sec at x=3 cm. We have to find the…

Q: 2) Determine the it c converges 24) 2 ² + + + + 120 5 7h Sum of the infinite series if

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Q: B) Write Answer in Standard form 20) (4+i) + (5 + 3i) = 22) (-1+2i)+(4-7i)= 24) (3+7i)-(2 + 5i) =

A: As per the company guidelines we are supposed to answer only first three subparts.Kindly repost the…

Q: 1) show whether the infinite series converges diverges la) = (-1)^_3n²+ 9 M=1 5 - 2n²

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Q: 6. A manufacturer of aluminum doors currently sells 500 doors per week at a price of $ 80 each. If…

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Q: 5) Find the power 10 of f(x) 3+x and find domain of f(x) =- series representation > C=2

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Q: 24. For y = f(x), we define the derivative of f at x, denoted by f'(x), to be if the limit exists.

A: The solution of the given problem is as follows.

Q: 5) Consider the function. f(x) = x≤2 (3-2x, 1₂. 3x x>2 a) Find the left-hand and right-hand limits…

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Q: Find all the second partial derivatives. X x+y Z= O A. O B. C. D. 2²z ax² 8z ax² 2²z ax² 8²₂ ax² =…

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Q: n=1 (n!)² (kn)!

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Q: Match (a)–(f) with (i)–(vi).(a) a > 3 (b) |a − 5| < 13(c)a − 13< 5 (d) |a| > 5(e) |a −…

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Q: 3. Evaluate the limits. x²-9 x3 x²-5x+6 (1) lim- sin 20+tan 0 (2) lim- (3) lim *** √√9x -x x² +1

A: Solve as given below.

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Q: Let f(x,y) = 4x4y + xy4. Find 2²4 2²4 2²4 2 7 ax² ay ²¹ axay¹ and 2²f 21 əyəx

A: Let fx, y=4x4y+xy4To find ∂2f∂x2, ∂2f∂y2, ∂2f∂x∂y, and, ∂2f∂y∂x.

Q: Σ(1)", n+1 n=0

A: a) ∑n=0∞(-1)nxnn+1 If there exist an N so that for all n≥N, an≠0 and limn→∞an+1an=L:If L<1, then…

Q: b 7) Evaluate Staidx or ["folder 74) Jo √x²-16 X² de

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Q: lim (√x²+3x+1-x) →-

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Q: Use the indicated x-values on the graph of y = f(x) to find the following. سلہ C def Find intervals…

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Q: A volume is described as follows: = €2.9x, y = 1. the base is the region bounded by y 2. every cross…

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