11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

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A: 1. A2,1, B3,-5, C1,-32. P3,0, Q6,4, R-1,3

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A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2f(x0)+2f(x1) + 2fx2+...+2fxn-1+fxnwhere , ∆x = b-anSimps...

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A: topic- indefinite integral

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Q: Solve the following initial value problem for y as a function of x dy 3+ /39 Vx² - 2- 25 = 1, x> 5, ...

A: Here we have to use the following formula 1)  ∫dxx2-25=ln x+x2-25+c2)  lnab=ln(a)-ln(b)

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A: Let's find. 

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Q: 4

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Q: d. One focus at (-3 - 3v13,1), asymptotes intersecting at (-3,1), and one asymptote passing through ...

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Q: Suppose that P2(x) = a + bx + ca? is the second degree Taylor polynomial for the function f about æ ...

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Q: -) For the function f(t) = 16t3 - 40t consider the definite | integral "f(t)dt -1 a) Evaluate this i...

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Q: Consider the function f(x) = x²e12=. f(x) has two inflection points at x = C and x = D with C < D wh...

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Q: Estimate the area of the curve y= from r = 0 to r = 3 by using 6 rectangles and right end-points, R6...

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Q: Question I L0, Write the following Integral as a limit 3. b Determime whe ther the following integra...

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Q: Let the demand function for a product be given by the function D(q) = – 1.55g + 300, whe items in de...

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Q: Q3:A| Prove that:- cos x 1) 1+sin x 1+sin x = 2 sec x cos x tan? x 2) tan? x+1 = sin x

A: topic - trigonometric identities

Q: Find the absolute maximum and minimum values of f on the set D for f(x, y) = x² + y? – 2x, where D i...

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Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: 2x +3x-2 (i) lim 2х-1 1 +1 1) lim x+2 x+3 x-3

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Q: [1 23 A 3 4 5] Given matrix A above, in the matrix multiplication: IxA = A.What is matrix To create ...

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Q: Determine the limit of the following 1.3) lim x--> 0 ( 1/x (1/3 - 1 / sqrt x + 9)) 1.4) lim --...

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Q: 31 'dt = +C 3lnz A True B False

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Q: lim f(x) 2. x2 6 7

A: Topic = Limits

Q: Question Select multiple answers and then press Answer. p(x), r b f(x) is continuous on (-00, a) and...

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Q: 00 k k +1 k=0

A: Leibnitz's test: Let ukk∈Nbe a monotonic decreasing sequence such that limk→∞uk=0 Then the series ∑k...

Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

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Q: Consider tne following. (a) Set up an integral for the volume a solid torus (the donut-shaped solid ...

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Q: 24. Maximizing Area A wire 10 cm long is cut into two pieces, one of lengtn other of length 10 - x, ...

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Q: Consider the series (9x). n=0 (a) Find the series' radius and interval of convergence. (b) For what ...

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Q: Use f(x) = 5x - 3 and g(x) = 2 - x2 to evaluate the expression. (a) (ro g)(x) (b) (g o n(x)

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Q: 1. Write the improper integral which is represented by the following limit. lim C2" 2x dx x2-4 2. Sh...

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Q: Find the general solution of the differential equation: y'+4y=xy^3. Use lower case c for the constan...

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