1. Evaluate 2. Evaluate sin(20) 30 x-2x cos x sin x limo lim, 0

Q: Find all the critical points of the following functions and classify them as local maximum, local…

A: First we need to find the critical point and then we should apply the conditions to approach it as a…

Q: Use the parametric equations of an ellipse, x = 5 cos (0), y = 4 sin(0), 0≤ 0 ≤ 2π, to find the area…

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Q: s Compounding If the present value of an item is P and we experience an inflation rate of r for t…

A: using algebric operation

Q: e the differential equation e2x dy +2e²x y = 2x

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Q: f(x) = x²+3x x+3 "2"⁰ 24

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

Q: a) b) 1 2 3 + 2.2 3.2² 4.2³ 1 1 1 1 + + 1.3 2.4 3.5 4.6 + + 4 5 5.24 6.25 1 + n(n+2) + + +. 1…

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Q: Question 10 The function y= ax6x³ has a minimum point at (2a, f(2a)). Determine the value of a. - a…

A: Let's find a value.

Q: 4) Use Green's Theorem to evaluate f √1+x³dx + 2xydy. C is the triangle with vertices (0,0), (1,0),…

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Q: Question 16 This equation represents what? O a sphere an ellipsoid O a paraboloid O a double cone x²…

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Q: Let Sketch the curve and find the length of this curve. r(t) = (t, 3 cost, 3 sin t), 0≤ t ≤ 2π.

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

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Q: Determine the interval(s) where f(x)-In (5x+10) is continuous. It is continuous in the interval

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Q: Find the Fourier transform of Hint: Use the integral formula Se-¹² du = √π e-a²₁²

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Q: xy² (xdy + ydx) = (xy - 2)dy

A: We have to solve given Questions.

Q: Find lul, Ivl, 12ul, |2v|, lu + vl, lu − vl, and _|u| - |v|. u= 5i + j, v = 2i - 4j

A: We need to calculate the magnitudes of given vector and evaluate the given expressions.

Q: Use integration by parts to find the following integral. 1 4x+5 dx X b 4x + 5 + Su dv = f dx. What…

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Q: Find the area of the region bounded by the parabola y² = 2x − 2 and the line y = x − 5. 16 17 18 19…

A: y² = 2x -2  y = x -5  Here we have to find intersection point  x = (y² +2)/2  x = y+5  Compare both…

Q: limits

A: L'Hospital's rule apply only when there is 0/0 for ∞/∞ form.

Q: Determine the singular points of the given differential equation. Classify each singular point as…

A: Concept: The general homogeneous second order differential equation: y''+P(x)y'+Q(x)y=0 Regular and…

Q: Evaluate the following: fo(5x²y³ + 3x) dydx a. b. ff ex+ydA where R = {(x,y)|-x≤ y ≤x, 0≤x≤ 2}

A: To find the value of given double integrals.

Q: 5TT Without using a calculator, compute the sine and cosine of 6 What is the reference angle? In…

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Q: Evaluate the double integral: r2 Y To 0 √y¹/3 x7 +1 (Hint: Change the order of integration to dy…

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Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Set up the…

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Q: Find in the parametric equation d'y dx² x = 5 sin² t y = 2 cost 0≤t≤ 2π.

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Q: The equation P=25sin(2πt)+90P models the blood pressure, P, where tt represents time in seconds.…

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Q: Find the volume of the region enclosed by z = 1 - y² and z = y² - 1 for 0 < x < 42. V =

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Q: I. 1.) Simplify. Write "undefined" for expressions that are undefined. 2 4 4 [169 -6 -3 -5

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Q: 6.) I. Simplify. Write "undefined" for expressions that are undefin -3 -6 -2 6 619 1 4 -4 -4

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Q: Use triple integration in Cartesian coordinates to find the volume of the region in the first octant…

A: We need to find volume.

Q: Use integration by parts to evaluate the integral. [2xe™x dx dx = [2xetx

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Q: (1 + sin y) dy

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Q: Find f(t). f(t) = = - 3s 1 - s²(s + 1)³

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Q: 1. Simplify. Write "undefined" for expressions that are undefined. -3 1-6 0 {}} 4 3 5 3 4.) +

A: To simplify the given expression.To write "undefined" for expressions that are…

Q: 25- A) Use series to express the function f(x) = coshx.

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Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

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Q: The integral of 2 raised to 4x dx with limits of 1 to 2 is equal to 85.6521 86.5617 86.1657 85.5621…

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Q: 100 (e) Σ199 2i(i3 – 1) i=1

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Q: Calculate the line integral of the vector-function F(x, y, z) = (y² +2²) i-yzj + xk along the path…

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Q: nd the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°   Enter…

A: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°

Q: -2 4.5×10 kg a. T= 2π 2.0×10³ kg/ s b. K = -(6.6×10² kg) (2.11×10¹ m/s)² = 2 -9.0×10 N·m²…

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Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

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Q: r(x) = 5 log4 (3x + 10)

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: Which of the following is an appropriate choice for & when proving the following limit? lim(x² - 2x…

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Q: reply as soon as posible.

A: To find out the conservative.

Q: The current population of a small town is 2104 people. It is believed that town's population is…

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Q: √(√x³ - 2 1/2 + √²) d dax In x++²x+ }\x² +C √√(x³)x=√x + √√2x+C

A: SOLUTION-

Q: The region trapped between y = = 4x - 2x² and 4x-2x² |y= ५-२x२-३ = 21² - 1³ y = a) Set up the…

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and y=g(x) on the…

Q: Use integration by parts to evaluate the integral. 9x Saxe dx dx = S4x ex

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Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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