1- sin r 6. Find lim 1/2 CSC x Csc x

Q: How did he get the second derivative step by step and a clear line please 9 -- F(x) = 1+e siny x…

A: To find out the second derivative.

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

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Q: b) Performing the substitution yields the integral c) Once we integrate and substitute, the final…

A: We can solve this as follows:

Q: The integral of the given function xVx + 1 dx is equal to a. 116/5 b. 116/10 c. 116/15 d. 116/20 e.…

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Q: Determine the linear approximation of f(x) = x* at x = 1. а. у %3D 4x - 3 O b. y=- 4 x - 3 О с. у-…

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Q: Show that the particular solution of the differential equation dy 5dy + 6y = 12(x+e") dx dx dy is y…

A:

Q: Question 22 Evaluate the integral, using substitution if necessary. tan(22 )dar, + C

A: To evaluate: I=∫tan(2x) dx Substitute 2x=t⇒2dx=dt⇒dx=12dt: I=∫tan tdt2=12∫sin tcos tdt

Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

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Q: if f(x)=(5+x4)1/4 what is (f(x))2

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Q: please can you also answer number 3.

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Q: 0 1 - 18 -6. A = Find the eigenvectors of the given matrix: [B] i

A: We have to find the eugen vectors.

Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: Show that v = ai + bj is perpendicular to the line ax+ by = c by establishing that the slope of the…

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Q: dx The integral of the given function S is equal to (x²–2x+4)ž а. 1/4 b. 1/5 с. 1/6 d. 1/3 e. None…

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Q: 5-6 Sketch the region whose area is given by the integral and eval- uate the integral. 5. ". 2 (7…

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Q: Compute the given integral. fain' sin" x cos xdx +C

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Q: Simplify arcsin(sin240°). 60° 240° -60°

A: First draw the grap then make all the point then simplify.

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim tto 5t2 + 6' 8t

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Q: Given the function G(x) = 3x2 + 2x -1, find the value G(a + 2). 3a 2 + 14a + 15 3a 2 + 2a + 15 5a +…

A: Given: Gx=3x2+2x-1.We need to find the value of Ga+2.

Q: Select one: O True

A:

Q: Differential Equation Classify the following differential equations.  - DEPENDENT VARIABLE -…

A: We have to classify the given differential equations.

Q: B. Find the value of x for which Inx + (Inx)2 + (Inx) + (Inx)* +.= 9

A: Use the formula of sum of infinite gp series and then simplify.

Q: a) ): Explam why the following series Σ (-1)"-1 1+ n3 n=1 is Alternating. b) Use the Alternating…

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Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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Q: In what quadrant does the angle lie? 71/3 O IV II O II

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Q: Which of the following statements is true for the function f whose derivative is f'(x) = (x + 2)e-*…

A: Here we have to find the intervals where the function is increasing and decreasing.

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

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Q: H.W : The region bounded by the curve y= x² and the line y=3x is revolved about a) x-axis b) y-axis…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Answer

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Q: Identify the curve. x 2 + y 2 = 1 parabola circle point circle hyperbola ellipse

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Q: The series 2" (n!)2 n=1 is divergent. Select one: True False

A: The given series is a 2n/(n!) 2. Repost the next question.

Q: If 2n+3 a %3D 5n+8

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Q: How did you get the x^2/2? That's where I'm lost

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Q: Express the circle specified by x = 2 cos(0) y = 1 +2 sin(0) in Cartesian coordinates and find the…

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Q: 3 12х (a) 2 x2-1)2 dx 2 (x2-1)2

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Q: For the function x-3 f(x) =: 2x +5 Determine coordinates of the y-intercept of the inverse function…

A: We can find the inverse function and the required answer as below.

Q: The series 1 Σ 2 (-1) "-1. 00 n=1 1.8 is absolutely convergent. Select one: O True O False

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Q: a) Determine whether the series (-1)"n² 00 Σ is convergent, n3 + 3n + 1 n=1 absolutely convergent or…

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Q: Which Riemann sum represents the illustration shown?

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Q: A tank contains 1000 liters of brine. Brine containing 0.4 kg/liter of salt flows in at 10…

A: Let st= The amount of salt at time t. The brine flows in at the rate 10 liters/minute and flows out…

Q: The final answers on both a and b are unclear. maybe its the typing but I can't see the final…

A: From the given graph, we have to find the values of u'1 and v'1

Q: You wish to determine how much should be deposited in an account paying 7.4% interest compounded…

A: This question can be solved using the concept of compound interest when interest is compounded…

Q: Differentiate exp(sec(x^2)

A: Given query is to find the derivative of the expression.

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Solution is here

Q: Express the vector P, P2 in the form v = v,i+ v2j+ V3k if P, is the point (- 8, - 1,8) and P2 is the…

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Q: a) [ Explain why the following series * (-1)" 00 Σ 1 + n5/2 n=1 is Alternating. b) ! : Use the…

A: Solve the following

Q: Q2: A- Find the complete solution of the differential equation y"+2y'+4y cosx subjectcd to the…

A:

Q: 2(- 1)"- n²+ 4 n – 1 n=1 n²+3

A: