(х +у—4)dx — (х — у + 2)dy %3D0 -

Q: Let f(x) = 6x + 13 – 15e". Then the equation of the tangent line to the graph of f(x) at the point (...

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Q: Evaluate: A 4e“+C B +C +C D 4 +C (E) None

A: option D integration

Q: 'd = eAt kdt A True B B False

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: The alternating series (-1)" . converges. (You do not need to prove this, but you can if you 1 3" n ...

A: Here, the given series is: ∑n=1∞(-1)n13nn Now, the given series is an alternating series with 13nnn=...

Q: 1 7. lim 3x8 (x5+ (2х-3)3 х-+00

A: To evaluate the given limit. limx→+∞1x5+2x-333-3x8    

Q: y' + 2xy = 0

A: y'+2xy=0

Q: Find the derivative of the function f(x) = V(a3 + 7x) by using the definition %3D of the derivative.

A: Let's find. 

Q: x + 3x + 4x + 1 dr (x2 + 2x + 2)²

A: Given ∫x3+3x2+4x+1(x2+2x+2)2dxPerform partial fraction decomposition=∫x+1x2+2x+2dx-∫1x2+2x+2dxNow so...

Q: Compute T2(x) at x = 1 for y = eª and use a calculator to compute the error |e – T2(x)| at x = -1.5....

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Q: Expand $it) in Fourier series in the interva) (- 2, 2) when fit) = -2st <o %3D 1.

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Q: Q#3.2 Which of the following functions given below is a solution to the differential equation in the...

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Q: sinrdr In(cosr-3)c cosr -3

A: The objective of the question is evaluate the indefinite integral with suitable substitution.

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: Let f(x) = (7 – 2x)* f(x) has one critical value at A = For æ A, f(x) is Select an answer

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Q: Find the arc length of the curve r(t) = (2t3/2, cos 2t, sin 2t) from t = 0 to t = 1. %3D

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Q: 1 The region bounded by the graph of f(x) and the x-axis between x = 0 and x = 9 %3D 1+ x2 is revolv...

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Q: Solve the differential equation y'+xy=0 using power series.

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Q: 1- arctan x dx

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Q: csc5x cot5x dx A csc 5x B -csc5x 3 -csc5x 3 D csc5x E None

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Q: Set up an integral that represents the arc length of the function y = 4x4 + 5x from the point (0,0) ...

A: We have to find a, b and f(x)

Q: Find the directional derivative of the function in the direction of the unit vector u = cos e i + si...

A: This question is based on del operator.

Q: Evaluate each of the Fo llowings. V bano do V2

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Find dy/dr for the following function y = cot-1 (x + sin? (5*))

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Q: Give what is being asked. + g(x)|dæ, if g(x)dæ = 3? What is the value of 3

A: The integral is  ∫06 13+g(x)dx and ∫06 g(x)dx=3

Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: A5.5-foot-tall woman walks at 4 ft/s toward a street light that is 16,5 ft above the ground, What is...

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Q: The function f(x) = 2a – 392? + 240x – 4 has two critical numbers. The smaller one is x = and the la...

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Q: )A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate prop...

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Q: Direction: I. Determine whether the series converges using any appropriate test. Identify the test f...

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Q: A scientific sample of radium-2 decayed to 81% of its original amount after 2 years passed. Figure o...

A: Find your answer below 

Q: Express the area bounded by the graph of g(x) and thex-axis as an integral on the interval (-00, 00)...

A: We need to express the area bounded by the graph of gx and the x-axis as an integral on the interval...

Q: a4 +dy: - +C Ina A) True В False

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Q: dy Use implicit differentiation to find if tan'(ry + y) = x. dx dy dx

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Q: zV1 - (a – 1)}'da = a;+ :) a+b? What is

A: Given,             ∫12x1-x-12dx=a1b+πcTo find : What is a+bc.

Q: B01OW is a graph of VCF) , me VOlOGIry Of an Obicot ovor timċ. OCScrioc me acceicrarion oe th& obj G...

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Q: Find the arc length of the curve x -3y3/2 from y = 0 to y = 10. Length

A: Integration √1+(f'(y)) 2dy

Q: 2sin(e²^) cos(e²") dx, we let u=e2 To evaluate A) True B) False

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Q: sinrdr In( ou In cosr -3 cosr -3

A: Indefinite integral

Q: tion f(x) = x cosx.

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Q: | (x + cos? x) dæ + | (2 – sin? 2)dæ =? - 0, 3

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Q: Obtain the general solution of the differential equation:y’ = cos2x cosy.

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: in yy = 2 y-x; %3D

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Q: et kdt k A True B) False

A: First we solve L.H.S then solve R.H.S . We use the formula integration of eat=eat/a

Q: Q5: Find the domain and range for:- (Answer two only) (1) F(x) = V5x + 10 (2) F(x) = 1 + x2 x²+1 (3)...

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Q: Integration is the reverse process of differentiation.

A: Given,            Integration is the reverse process of differentiation.To find : State true or fals...

Q: e" dx Find (ez +3)(e –5) Find S In(x)x²dx.

A: The first question can be solved using the concept of partial fraction and the second question can b...

Q: Find the absolute maxima and minima of the function on the given domain. T(x.y) = x +xy +y- 12x +2 o...

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Q: A-f cos (x)sin³(x)dx e*cosh (3x) В- -dx cosh(x)+sinh(x)

A: ∫cos5xsin3xdx  

Q: Evaluate: / tan( tan3x)dr cos?3x i -In |sec(tan3x)|+C A 3 В - In |cos(tan3x)|+C -In |sin(tan3x)|+C 3...

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Q: dy Given that y = x² log2(6 – 5x), find dx

A: This question can be solved using product rule of derivative.