Q2/ Find f (x) : 1- f(x) = 4 cos x + 2 sin x 2- f(x) = cos x - x csc x 3- f(x) %3D %3D cot x 1+cscx sin x sec x 4- f(x) %3D 1+x tan x 5- f(x) = sec2 x- tan2 x %3D

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A: Note: According to our expert guidelines only first three subparts are to be answered, kindly repost...

Q: _1. The derivative of a sum is the sum of the derivatives. The derivative of a quotient is the quoti...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

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Q: Question 6 *| Let r(t) = 5i +*j-²k. Find the tangential component of acceleration (ar) of r at time ...

A: Here is solution

Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

A: This question is related to limits,  we will solve it using given information 

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Q: Let f(r) (3sin a + 5 cos z)tan r)tan f (x)-

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Q: Show that f(x, y) = e2x cos(x + In y) satisfies the differential equation 2f - yfyx = 5f.

A: Given that fx,y=e2xcosx+lnyShow that 2fx-yfyx=5f

Q: To test the series e -7n e for convergence, you could use the Integral Test. n=1 Find the value of 7...

A: We can answer the question as below.

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Q: Let z x = 2 cos u, and y 3 sin v. Find dz in terms of u and v. %3D Provide your answer below:

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Q: -7 3 11 →5

A: Given:      A function is a specific type of relation in which each input value has one and only one...

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A: Given function is: f(x, y)=sin(x+y)

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A: Put x=r cosθ  and y=r sin(θ). As x,y→0,0 then r→0+. L'Hospital Rule :Suppose we have          limx→...

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Q: The slope of the tangent line to the parabola y 3x2 + 2x + 6 at the point (5, 91) is: The equation o...

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Q: 20/40) ty' + (t + 1)y = t, y(ln 2) = 1, t >0

A: Given, ty'+(t+1)y=t And initial condition y(ln2)=1

Q: Solve the differential equations using variation of parameters 1. (D²+1)y= sec³x

A: Given differential equation:D2+1y=sec3x Concept used: Variation of parameters.

Q: Given f(x) = 3– 2x – x, Determine each of the following. C. a.) f(-6) b.) fG c.) f(r*) d.) f(x-1) fr...

A: Topic = Functions

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A: Given: y=5x2, y=0, x=0 & x=1.8 From the given line and curves the bounded region is as shown bel...

Q: y(2x³ -x²y + y³)dx – x(2x³ + y³ )dy = 0

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Q: V Solve usıng variaton of parameters or reduction of order (D²+1) y = tan

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Q: Show that the limit does not exist: (y² + x – 1)² - lim (x,y)→(1,0) (x – 1)2 + y4

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Find your answer below 

Q: The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P...

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Q: The daily cost per unit of producing a product by the Ace Company is 30 + 0.2x dollars and the price...

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Q: Evaluate the Limit. Use L'Hopital's Rule wl 2lnx – x + 1 lim х-1 х2 + хх — 2 - x→1

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Q: Suppose the velocity function of a particle is given by y = 2 - t- t² at any time t ( time is in sec...

A: We can find the total distance covered in the given time as below.

Q: For each given combination of values of limf(x) and f(c), sketch the graph of a possible function th...

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Q: Find 02/ay and az az 02/ax of the following function: z = x³ev* + y5 In(2x + y)

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Q: Use any method to determine whether the series converge 1 (a) E k + 5k + 1 k=1 This series 1 (b) E; ...

A: We have to find convergence of series

Q: Portfolio Appeal Constructed Response Task Stacking Cups In the picture below, you see a single pape...

A: NOTE: Refresh your page if you can't see any equations. . here the base height is 8 cm and the upper...

Q: 4/ (11) lim f(x)= %3D X-0 (12) lim f(x)= -10 -8 -6 -4 4 8 10 X +0 -2 -4

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Q: Which of the following integral can be used to find the volume of a solid on the first octant bounde...

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Q: 4 Let f(x) = 4x + x2 given by y = mx + b for . Then the equation of the tangent line to the graph of...

A: We know that if m is slope and (x1,y1) is point on line the equation of line is given as-  (y - y1 )...

Q: у"-7у'%3D (2х-1) sin 2x

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Q: The cubic function of best fit to data is T(x)= -0.0103x^3+0.32x^2-1.37x+46.09 Use this function to ...

A: Basic curve fit problem 

Q: I Eliminate the arbitrary constants x = k +ct , y = c²t2

A: Find your answer below 

Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight incr...

A: We can find the required model as below.

Q: 10111111110 110101

A: Solution is 10011110110010110

Q: ad b and e such that for all r and y, z = x² + bxy + cy² dz dr dy dz ad b such that for all r and y,...

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Q: Integral

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Q: From a point A the angle of elevation of a mountain is 13.7°, and from a point B, directly behind A,...

A: Given query is to find the height of the mountain.

Q: show complete and detailed solution of the differential equation. NO SHORTCUT!!! sinydy + (x-sin2y)...

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Q: 4х — 7 TI Let f(x) Find the open X + 2 intervals on which f is concave up (down). Then determine the...

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Q: For dy/dx = y2-3y classify the critical points as asympotically stable, unstable, or semi stable

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Q: Discuss the continuity of the function: (x2 + 2x - 4 xs-2 g(x) = } (6– x) x > -2

A: Given :g(x)=x2+2x-4x≤-2(6-x)xx>-2

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A: Topic = Integration

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A: The rate of change of an amount N of the chemical after t days is given by: dNdt=-0.090 N

Q: y + Jx² +y2 dx = xdy when x-3', y=l 4. %3D

A: