Q3:Graph the following function:- 1- f(x) 1x- 31-1 2- x-1-y2

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A: Solution ) f(x) = lnx/x f'(x)=  [x (d/dx ( lnx )) - lnx (d/dx (x) )]/ x2 By differentiation divisibi...

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A: This question can be solved using the concept of maxima and minima.

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A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

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A: Let's find. 

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Q: Evaluate S Vx+1 dx (1 + } -(1 + i (1-5 D. - (1-5)i A. + C C. + C B. + C + C

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A: We have to calculate summation

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A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

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Q: Find the average value of the function f (x) = 20 – 5x² from (0, 3). |

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Q: : Solve-Using D-operator dy dx + Зу - 5х — е t - 0 dt %3D dt dx dy +x + y-3 = 0 dt %3D dt

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Q: Let z = ax'y + bx'y?, with a and b constant. P is a point given by (1, 1) and it is known that dz (Р...

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Q: 10- 10 10 Find its domain and range. (Enter your answers using interval notation.) domain range 30

A: For given function of graph. f(x)=>y^2=36-x^2 hence we know that  for domin and Range : by defini...

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Q: 1) Use the definition of the partial derivative to find af given, əx f (x, y) = x²y + 2x + y³ %3D 2)...

A: I am attaching image so that you understand each and every step.

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A: B - given is the population is 900 in the beginning and decreases by 12% each year for 5 years.

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Q: alprbraic or u-substitution technique, we let u- gix) and du-g'bx) dx. Identify the g'b) dx in the (...

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A: We know,  Range of sinx = [-1,1] for all real x. Range of ln(x)=-∞,∞ for all real x Range of a (x+a...

Q: 3. Apply the partial fraction decomposition to evaluate the integral 4-x2 x(x2 + 2) x

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A: This is a problem related to the trigonometric integral calculus. Based on the general fundamental t...

Q: Given f(x,y) = 5x sin(3xy). Find fxy(4,2). Give you answer correct to two decimal places.

A: Given f(x,y) = 5x sin(3xy).  Find fxy(4,2).

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A: I am attaching image so that you understand each and every step.

Q: Perform the integration:[-cos 6x0dx tanx-x+C 1+cos 6x A. c. tan3x-x+C B. --tanx-x+C D. tan3x-x+C

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Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A: 1. Graph of M versus t is shown below - 

Q: 1. y= -x²+4 @(0,4). fly) - 3v26x-1

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

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A: Given problem:- 3. Determine the equation of an ellipse that satisfies the following properties:  - ...

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Q: Hi, I need help with these problems. Thank you so much! Find each of the following derivatives. g(2)...

A: Topic:- derivatives

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A: To Find : Average value of the function f(x)=x-4 on the interval [1,5]   Note : The average value of...

Q: Detemine whether the series is absolutely Convergent fonditionally convegent, ordivergent. 2²+2n+3. ...

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Q: 1. In the figure shown, a vertical triangular gate submerged in a certain liquid with s.g. = 0,85. I...

A: We have to find 'd'. 

Q: S 3x° V1 – 2x3 x3 – 3x if a 0 1. Let f(x) = Evaluate S, f(x)dx

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Q: (a) The total reserves of a non-renewable resource are 400 million tons. Annual consumption, current...

A: Given: The total reserves of non-renewable sources are 400 million tons. Annual consumption, current...

Q: Let f(x) = -cos(x). Compute ộ = coto + C1T1 where to = 1 and 1i = x. %3D Compute the discrete approx...

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Q: Example 3: Find the parametric and symmetric equations of the line passing through the point (-3, 5,...

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