Determine the area to the left of x = 3- y² and to the right of x = -1

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A: The given integral is: I=∫1-cos2xsin2x   As we know the common integrals; 1). ∫cscxdx=lncscx-cotx+C…

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A: We will solve this question using limit comparision test.

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Q: 3. Waile si Sigma Notatimi 1. 12-201 4 곱 so times 나스

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Q: Identify the number of significant figures (sig figs) in each of the values. I sig fig 2 sig figs 3…

A: We can find the significant figures.

Q: 17. 18. 19. dx/ (9x² + 4) sin³ x cos x dx (secs x) dx / csc x

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Q: 4. Draw a sketch of the following angles. Identify the acute related angle (a) and draw the related…

A: Topic:- trigonometry

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Q: 2y V. Consider the lines : x + 1 5 = = 2z - 6 and m: x = −1+10t, y = 7t, z = 2 + t. 7 1. Determine…

A: As per our guidelines we can answer only one question so kindly repost the remaining questions…

Q: J (secs x) dx/csc x

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Q: If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then…

A: The volume of the water remaining in the tank after t minutes V=50001-t402  gallons

Q: (b) Find d'y dx² where x + 2y = 1.

A: In this question, we want to differentiate the given expression two times.

Q: ל 15 18 a = (3₂16) 6= (-2,0,1) → 08 -> 2² = ²²-23 +5k →> oc CẢ OA

A: Given :a→=3,1,6=OA→b→=-2,0,1=OB→c→=i-2j+5k=1,-2,5=OC→

Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: 9+xn 5n n=0 An empty set since the series diverges Find the domain of ƒ(x) = Select one: O (-1,1) O…

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Q: Find the horizontal and vertical asymptotes of this curve. 2x²+x-1 y= = x²+x-2

A: Given.

Q: x³-y³ Determine whether the function z = g(x, y) = x² + y² (why or why not) for for (x, y) = (0,0)…

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Q: EVALUATE S 4x²-x+4 x³+x²+2x+2 dx

A: A detailed solution is give

Q: Use a linearization to approximate tan(π/100).

A: This question can be solved using the concept of linear approximation.

Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: Find a plane containing the point (5,-6,-3) and the line x(t) y(t) z(t) = = = - 4 - 7t 1 -8t 3 - 4t

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Q: Which of the following five series converge, and which diverge? Explain. n+1 (Inn)² 1 4 n². √n n 1+…

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Q: Question 4 (a) Solve the following: √4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: where p(t) is the proportion of the population that knows the rumor at time t and a and k are…

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Q: cos-¹(2x+5), then dom(f) = = If f(x) = x+3 (A) (-3,-2) L (B) [-3, -2] (C) (-3, -2] (D) (-1,1) (E)…

A: Doamin of a function:- It the set of input values where the function at the values…

Q: 2. A water treatment plant processes gray water at a rate given by r(t) = 16e0.2t million gallons…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the length of the curve y= 2²-√√x, 4 ≤ x ≤9. 23/2 3

A: To find the length of the given curve.

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Q: The table below shows values for four differentiable functions. Suppose we know the following…

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Q: x² Evaluate using Partial Fraction Decomposition: f(x+1)²(x-1) dx

A: To evaluate the given integral by using Partial Fraction Decomposition. ∫x2x+12x-1 dx

Q: Evaluate using Partial Fraction Decomposition: S x² (x+1)²(x-1) dx

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Q: Find the area of the region bounded by the parametric curve x = e³¹, y = e²¹ and the X- axis on the…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: a. b. Evaluate the following integrals 2 dx cos²x√4 tan x- tan² x I [ sin(√a)da dx

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Q: 32 *The solution for the following differential equation is dy x-y dx x+y y² + 2xy - x² = c y² + xy…

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Q: APPLICATION OF 1st ORDER DIFFERENTIAL EQUATIONS 1. Brine containing 3 lb/gal of salt enters a large…

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Q: Q1/ Solve the following differential equation then check the result dy +² - x² = 2xy -- dx Ans./y =…

A: Given problem:-

Q: Find the area of the surface. The part of the sphere x2 + y2 + z² = 36 that lies above the plane z =…

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Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

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Q: C. Evaluads the Sum 20 [ (₁²+3) ² (

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Q: axb=2x2 X X What can you say about band ? a) Their magnitudes must be equal Ob) Their directions and…

A: Given.

Q: A = 1 4 2 4 व B = [2 00 Tonm 0 4 -2 1 D = -2 0 0 0 1000 0120 0 1 1 1 1

A: Concept: Determinants: For a square matrix, a determinant can be defined in several ways. The first…