Find the area enclosed by the given curves a) y=x^3, y=-x, x=-1, x=1 b) y=x, y= -1/x, x=1/e, x=e

Q: Find the smallest value of x for which the series (x+ 124)" 2in(n) n 2 is conditionally convergent.…

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Q: 38. Determine the integrating factor of the linear differential equation y' - (1 + tanx)y = e cos'x.…

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A: We will plug the values of a and b to do the analysis.

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Q: 7x + 4 if x 1 |

A: Here, the given function is: f(x)=7x+4, if x<-2x2+1, if -2≤x<12-3x if x=11-x+x if x>1 where…

Q: 3. Find the integral * dx a² -2 x+1 a.-x - - x - In(x + 1) + C 2 b.x2 – x – In(x + 1) + C c.x2 – x +…

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Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: we know that  The deck has cards in two colours red and black

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A: Note:- Here limit of integral 0 to t4  then in your question we need to find dy/dt instead of dy/dx…

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Q: is the graph a function?

A: To determine whether the given graph represents a function.

Q: Given: re + In(x - y) xe*? Find dy/dx. 2ry(z=y)+z* 1+(z=v}(2»² +1)e| dy dr 2r(z-y)-z1z…

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Q: Q2// Solve the following differential equation: e²y dx + 2(xe²y – y)dy = 0

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Q: 4n – 9 5n + 4 S - Given that sequence {an} = { (а) Show that the sequence is monotonically…

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Q: 3-A coin is tossed 3 times the probability that all 3 tosses are tail equal a) b); c); d) 9.

A: Our Aim is to calculate the probability of flipping a coin three times andgettiing 3 tails.

Q: // Find the Area bounded by: x = -y2 and x = y- 2

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Q: 2.46 Let Q(x) = Vr. Prove that the function Q is uniformly continuous on [0, o). (Hint: See Exercise…

A: We have to show the function Qx = x is uniformly continuous on [0, ∞) The function Q is said to be…

Q: lim * 0 sin5x'

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Q: d. q(x) = cot-1 ( ) 1-nx

A: Follow the procedure given below.

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: favourable conidtion is  26C1*25C1 = 26*25 total condition is 52C151 C1 = 52*51 probability =…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: This question can be solved using the concept of area of triangle and area under curve. I have…

Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

Q: Solve the following set of equations with LUdecomposition: 3x1 – 2x2 + x3 = -10 2x1 + 6х2 — 4хз — 44…

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Q: The equation y? (y² – 4) = x² (x ² – 5) is known as the devil's curve. Give an equation for the…

A: Given  :

Q: Solve for n in permutation 9(n²-1Ps) + 9(7²P6) = n²+1 P7 %3D

A: Let's find.

Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: Make the u-substitution 1– u? 1+ u? to convert the integrand to a rational function of u, and then…

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Q: x³ +2x2-3x 2) Evaluate lim -6-1. x² +4x+3 X-3 Show every step.

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A: We have to solve above question and find the change average cost

Q: For the following function f, find the antiderivative F that satisfies the given condition. 3 f(v) =…

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Q: 3. You are designing a spherical tank to hold water for a small village.The volume of liquid it can…

A: Given information: V = Volume of tank m3V = πh23R-h3…

Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

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Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

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Q: Let f(x) 5x. %3D Compute f'(64) and find an equation of the tangent line to the graph at x = 64.…

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Q: 2. Find the area of the region bounded by the curve r = 2 cos 30 .

A: Given problem:- Find the area of the region bounded by the curve r = 2cos(3θ)

Q: Below is a graph of f(x) = sin x. Find the total area trapped between the curve f(x), the x-axis,…

A: Follow the procedure given below.

Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

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Q: Use the mean value theorem to prove the inequality for all a and b: Isina – sinb| < |a - b|.

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