[5] 0 v2 = 9 v1 2 V3 4 -81

Q: Solve dy and Evaluate the answer at y=30 and C=-26

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Q: e"; xo = 6

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Q: A. 2xydx + (y – x²) dy = 0 -

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Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? O...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: The Ideal gas law is given by the equation: pV = nRT where p = pressure, V = volume, n = number of m...

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Q: dw V5-e-2w

A: Given,           ∫dw5-e-2w

Q: dt 4e-t – et

A: I =∫dt4e-t - etI =∫et dt4 - e2 tet = uet dt = duI = ∫ du4 - u2

Q: S Vx + 3(x + 1)dx

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Q: Use sigma notation to write the Taylor series about I = 6 for the function. 1 Σ

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Q: Use the difference an+1 – an to show that the sequence {n – 4"to0 is strictly increasing or strictly...

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Q: 3. S sin(3x) cos(5x) dx

A: To evaluate: I=∫sin (3x) cos (5x) dx

Q: 4.) f(x) = (x+1) 5.) y = x²(x - 5)²

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Q: 10. Prove that lim x2 = 4 using the epsilon-delta definition of a limit. %3D X-2

A: limx→2x2=4

Q: Suppose f(x,y) = sin-' (6 – 2x2 – y²) and g(x,y) = 4x2 – y2. Determine the continuity of the functio...

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Q: Find the derivative of the function y = 1ln(cos 2x)+4tan? (3x) Write the value of y (0) in the box b...

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Q: Use the trapezoidal rule with n = 5 to approximate cos(a) - d.x Keep at least 2 decimal places accur...

A: ∫15cos(x)xdx ; n=5

Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

A: Range of R = {y: x,y∈R}. Inverse Relation : R-1 ={y,x: x,y∈R}.

Q: along the x-axis so that at time t 2 0, the acceleration of the particle is a(t) = 15Vr. ticle is 10...

A: In this question we will use basic concepts of calculus i.e concept of integration. We will use the ...

Q: 2ayda + (y 2 - x2) dy = 0 %3D

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: First we draw a graph then find volume.  Interesting point are 0 and 1 then using limit 0 to 1 . 

Q: Integration by parts. | xcot?x dx

A: Please refer to the image below

Q: Use finite approximations to estimate the graph of f(x) =x between x = 0and x = 1 using 1. a lower s...

A: Let's find. 

Q: cos x tan x a) lim x→0 2x (x2 b) lim sin(x-) 4 x- 4

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Q: Question 15 15. The first derivative of the logarithmic function f(x)= In (e +3) is 1 A e +3 B e +3 ...

A: Topic:- application of derivatives

Q: Use the trapezoidal rule with n = 5 to approximate %3D 5 cos(x) -d.x 1 Keep at least 2 decimal place...

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Q: Find the critical points c that correspond to local minima. (Use symbolic notation and fractions whe...

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Q: For the vector-valued function r, carry out the following steps. a. Evaluate lim r(t) and lim r(t), ...

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Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time t that t...

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Q: Enclosing the Largest Area The owner of the Rancho Grande has 2,956 yd of fencing with which to encl...

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Q: sec(Vx) tan(Vx) dx

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Q: The function f is shown below. What is the value of | f(x) dæ? Writey your answer in simplest form. ...

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Q: Find the value of the limit x² + y? lim (x,y)→(0,0) 2x + y (You can consider using the polar substit...

A: Limit  =  0 When both variable are in sum and squared form then trigonometry subsitution results in ...

Q: Compute the limit of the nth term and use it to explain why the series is divergent. +00 2" – 1 2 2n...

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Q: Question 5 dy in terms of x. de 5. Given that y =u² - 4 and u=x +1, find dy dy du hint du de d du dx...

A: Topic:- derivatives   

Q: Question Select your answer. A certain radioactive element decays according to the ()' 39.60 formula...

A: Given  :initial No=5000 gramsR(t)=No12t25limt→175R(t)

Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

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Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for Sim...

A: Trapezoidal rule: ∫abf(t)dt=h2f(a)+f(b)+2(fa+h+fa+2h+...+f(a+(n-1)h)where n is the number of subinte...

Q: ·를 sin' X V cos x

A: This question is related to definite integration, we will solve it using given information. 

Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges, a...

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Q: Refer to question below. Evaluate d(cos x – x)

A: Anti derivative of derivative .

Q: 1. lim t0 sint sin(2t) 3. lim 2t 1- cost 6. lim sint

A: limx→af(x),  by completing a table of functional values. step 1: choose two sets of x-values—one set...

Q: dy 4x+xy? dx

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Q: 7) Find dy/dx. Given: (2x + y)' - %3D 8.) Find dy Given: xy =1 xp %3D

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Q: dx 9x2 - 12x-5

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Q: The point P (2,1) lies on the ellipse 402 + 3y? = c. с. Determine the value of c and write the point...

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Q: x+1 dx 3. (25 – x²)3/2

A: Solve by separate integral

Q: GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solution legibly on a short bond ...

A: Since we are given with multiple number of questions and our guideline is solve the first question o...

Q: 1. Complete the given 2 sets of tables of values to investigate the limits of a function. lim a? – 5...

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Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos() -2 <ys ...

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