V-2 Evaluate lim X8x2-7x-8 O 2/7 O None of these O 1/9 1 O 1/12

Q: Suppose f'(x) = sin(2x²). d ; f(7æ) =| dr d de f(32®) = [

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Q: 3. A metal plate is lying in the region bounded between the circles r? + y² = 1 and 1² + y? = 4 and…

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Q: dy S4ト9-とト」

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Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x + x³…

A: Given that ydx+x+x3y2dy=0Solution :ydx+x1+x2y2dy=0this diffrancial equation in the…

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Q: 9y²dy 1+ y*

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Q: x ) 10 (Vx² +1 – Vx²2 – 1 | dx Vx4 – 1

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z? (4,…

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Q: Find the radius of convergence about x = -2 and interval of convergence of the series Sn°(ar + 2)"…

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Q: Given: -8 17 cose 15/17 -8/17

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Q: Let S denote the cone x? + 4y? = z². (a) Find an equation for the plane tangent to S at the point…

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Q: Determine if the given function is on the given interval Continuous

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Q: Suppose that fis continuous and that / f(x)dr=4 and / s(x) dr=7, Find / 45 (x) dx A 20 B 28 16 12

A: using property∫acf(x) dx=∫abf(x) dx + ∫bcf(x) dx∫-33f(x)dx +∫36f(x)dx=∫-36f(x) dx4 + ∫36f(x)dx…

Q: he sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: 1. Find the radius of convergence and interval of convergence of the series. (a) (-1)"(n+1)"a²" n=1

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 10, (3, 4) Vf(3, 4) еBook

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: Find dy. y = vx + 10 dy = (Simplify your answer.)

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Q: Find the equation of the tangent to the function f(x) = -4 sin’x at the point where x = (use EXACT…

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Q: Question Using Partial Fraction Method, evaluate: S (1 + dx х2-1. Your answer

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Q: -Arctan + dx The integral of the given function S (x²+4)2 is Arctan + C 8(x²+4) 16 b. - Arctan- + а.…

A: Given:   ∫dxx2+42

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Q: Solve the differential equation. (x² + 15)y' = xy

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Q: Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. J (21+8)…

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Q: 1-. 5x <35 -2 (х-3) (х+3)* (*+1(5-х) 7-3. 2х - 3 <4 x-1 2.4, 25. -23х -5 - 8<-20

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Q: Find the value of x for which the value of the function f(x) = x3 + 3x2 - 2 is minimum?

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Q: Choose the correct speed and direction of a plane with a velocity of (-5,12) . 13,293° 17,113°…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: The vector v has,magnitude, v=2angle, θ=0°

Q: 4,0 F1 Let h(x) = f(x) g(x). Find A. h'(1) В. h' (2) с. h (3) — %3D ||

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Q: 30

A: Here, just to find the angle between F1 &amp; F2.

Q: 4. f(x) = sin xand g(x) = 2x 5. f(x) = x² + cosx and g(x) = 3x + 4 Guide Questions: 1. How did you…

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Q: x * - 2 and g (x) = 10. Given f (x) = x - 1X = 1. Find 2x + 1 a) the domain of f (x) and the range…

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A: The objective is to sketch the curve generated by the parametric equation with the arrow as t…

Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 = -4…

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Q: V25x² -69 – dx

A: We will find the integral as following.

Q: How 2 Find the absalute maxima and minima for the funcfion f(x,y) 48xy-32 x - 2u yen the…

A: Find value at critical point and end points.

Q: Given f(x, y) = 6x?y then the total differential df = %3D 12аy dx + 6x? dy O 2xy dx + x² dy O None…

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Q: wo vectors beginning at the same vertex of a triangle are ⟨2,3⟩ and ⟨-3,2⟩. Choose the correct…

A: It is given that, Two vectors beginning at the same vertex of a triangle are ⟨2,3⟩ and ⟨-3,2⟩

Q: How do I find the area of the region in the first quandrant bounded by the line y=4x, the line x=4,…

A: Here we have to find the area of the region in the first quadrant bounded by the line y=4x, the line…

Q: 12 dx Evaluate the integral: (9+3x)3 63 1. 36 1. 99 None of these 72

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Q: e*(y' – y) = 2xy?

A: Given