2 Evaluate the following integrals 10 S log₁0 (lox) dx 170 X

Q: Given the ODE: dy dt - --(t-1) cos(y). 4(0)-3 Estimate y(1) using midpoint method, h=0.5. Present…

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Q: Compute the rotated area bounded by y = 2x, x = 2 and x-axis about x-axis

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Q: dy 44. -2,(-1,0) x-2

A: Given problem:- dydx=x-2x

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

A: Given: The depth function: D(t) = 2sinπ4t+5π4+5 Depth is changing at 6 a.m. t = 6

Q: II. Evaluate the following integrals: 1 2. fg x + 3 dx 8x+3 1. dx f X 4. - X +1 1 ₂2x+7 7. ƒ (2+ In…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

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Q: 2. What is the maximum value of the parabola shown? y = - 2(2x − 1)² - 5 a) x = -1/ b) y = -5 c) x =…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  factor out 2

Q: ∞ 1.00 8e- dx = (If the integral diverges to ∞ or -∞, type oo or -oo; if the integral diverges in…

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Q: 53. y' - y = ex/y

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Q: State the domain of the graphed function: -5 -5- 0 -5 -10- 5 10 15

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Q: Find each limit, if it exists. 4- 8x 4x³-5 lim II

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Q: The normal vector of x+2y-1-0 (0, 2) (2, -1) (1, 2) O (1, -1)

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Q: Given the function graphed below, evaluate the definite integrals. 4+ 3 2 1 -1 7 -1 -2 -3 -4 1 S.³…

A: Need to find out the definite integrals.

Q: Find the Riemann sum for f(x) = x² + 3x over the interval [0, 8] (see figure), where x₁ = 0, x₁ = 1,…

A: The given function fx=x2+3x over the interval 0,8 with x0=0, x1=1, x2=3, x3=7 and x4=8 Riemann sum:…

Q: Question 13 (1 point) ✓ Saved Which of the following CANNOT be an acceptable direction vector for…

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Q: Find the limit of the transcendental function. (If an answer does not exist, enter DNE.) 6-6e-x lim…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: Consider the following function. f(x) = x² - 4x + 5 (a) Find the critical numbers of f. (Enter your…

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Q: Evaluate the integral (2x + 4) (2² + 4x + 2) dz by making the substitution = x² + 4x + 2. Submit…

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Q: On the line y = 2x + 1, what value of Δy corresponds to Δx = 3? Δy =

A: y=2x+1 We have to find ∆y corresponding to ∆x=3.

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: The given integral ∫2x2+4x-3x-7dx use the integral formulas, ∫udu=un+1n+1+C∫du=u+C∫duu=lnu+C

Q: (b) Find a particular solution for each of the given differential equations (i) y" - 6y +9y = e² - 5…

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Q: Exercise. Find the curvat 1. R(t) = ti+t²j+t³k

A: R(t)=ti+t2j+t3k Curvature formula κ(t)=R'(t)×R''(t)R'(t)3

Q: im not really understanding because its typed

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Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

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Q: 15 Lo - - dx 15 X (x + 1) ²/ O 0 O or| 800 88 O 1 O 176 5

A: The answer is 0.

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy dx 3 +…

A: We have given differential equation  dydx=3+18xxy2 y2dy=3+18xxdx Integrating both sides…

Q: x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your…

A: Topic:- application of derivatives

Q: (2x² + 2xy + y²) dx + (x² + 2xy - y²) dy = 0

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Q: Consider the graph of f. f(z)dz (2) The shaded region over [0, 7] has an area of 314 and evaluate…

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Q: 2y dx + x(x² In y − 1) dy = 0.

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Q: Differentiate the fol y = (sin x)(lnx) a)

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Q: If f(x) = 1 and g(x)=x² +2, then go f may be expressed as x-2 g(f(x)) = axa +2ßx+y xa + Bx-ß Find a…

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Q: 56. 1 dx V1+9x2

A: Given, ∫dx1+9x2

Q: Answer all of the questions below about the function f(x) graphed below when x = 5. 8 8 f -10…

A: Given Graph:-

Q: I need a step-by-step solution, please 2 bn=² ST T S™ sin x sin nx dx

A: To find out the integration given.

Q: Given: R(t) = ti + t2j + t3k, find the curvature and the radius of curvature at any point.

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Q: A line passes through points A(-1,-5, 9) and B(8, 5, - 15). A vector equation for the line is 7=(-1,…

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Q: Determine the type of function shown in the graph below. a) Polynomial function

A: We are asked to determine the graph of the function

Q: Use interval notation to determine f(x)

A: NOTE: Refresh your page if you can't see any equations. .

Q: A stone is thrown straight up from the edge of a roof, 875 feet above the ground, at a speed of 14…

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Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

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Q: Consider the function given below. f(x) = sin 0, 1 X+1 1 x < -1 x≥-1 Complete parts (a) through (c).…

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Q: -5 -4 -3 -2 -1 E у 6 5 4 3 2 I 1 H - -21 3 -4 -5 -6 1 2 3 4 5 X

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Q: Find the solution to the differential equation that passes through the origin. z(t) = dz dt = 6te42

A: dzdt=6te4z⇒e-4zdz=6tdtIntegrating both sides we get,⇒zt=-ln-12t2-c14

Q: 3. Which of the following is TRUE about the parabola for the function f(x) = 2(x + 3)² + 6 a) the…

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Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

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Q: Evaluate the integral using the following values. [x³ dx = 260, x 29 - ·[³x dx = 10, [³dx = 2 (29 -…

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Q: (iii) Find the total area of the following shape PQRS. (You may need a calculator) 7cm 12pt…

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Q: The sequence {(1 + 1)^² +1} 2n O O converges to e² is divergent ez converges to e 2 O converges to e

A: Sequence