1 dx. 10. Evaluate the improper integral m 64 + z²

Q: dx Evaluate 6ex cos (3e X) O 2 [In |sec(3e-x) + tan(3e-)|] +C [In |sec(3e-) – tan(3e-|] + C 1 In |se...

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Q: dx Given: x sinx Find: Formula 2 Jsin u du Jsin u du 02 fcso o fesc u du 2 | csc u du

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Q: 25. f(x) = 1 – V

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one. ...

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 25 m/s, its height (...

A: topic- derivatives and functions

Q: 1. Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x - y subject to th...

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Q: Part of the piecewise-defined function - (I – 5) +3 if 4< ¤ < 7 f(z) = bif =7 MI if 7< I < 14 is ske...

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous on the interval...

Q: a. The graph of a monomial function f is shown below. 25 20 15 10- 5 -5 -4 -3 -5 -10 -15 -20 -25 Com...

A: Please see the below picture for detailed solution. 

Q: An object is dropped from a tower, 1936 ft above the ground. The object's height above ground t seco...

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Q: ху — 1 dx x²y 1 xy2 dy = 0

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Q: The graph of an everywhere differentiable function is shown below. Use it to select the correct ineq...

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

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Q: determine if the function is continuous or not. type continuous if the function is continuous at a c...

A: NOTE: Refresh your page if you can't see any equations. . consider the two functions only

Q: 6. The total cost, C, in thousands of dollars, of producing x number of water tanks can be modelled ...

A: We have to find the marginal cost and domain.

Q: sinx + coSX dx e-X + sinx + sinx

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Q: 2. In each of the following, find fyzz, fryx, fxyz. 2. f(x, y, z) = lIn(xyz) + 2² tan¬'(e"Y)

A: I am attaching image so that you understand each and every step. Note:-  2nd subpart is more complex...

Q: Sketch the region enclosed by the given curves and decide whether to integrate with respect to x or ...

A: This question can be solved using application of integrals to find area under curves.

Q: snowball melts so that its surface area decreases ata rate of 1cm^2/min, find the rate at which the ...

A: Given query is to find the rate of chnage of diameter.

Q: dx Evaluate xV x2 - 4 TT 2 4 O O

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Q: (1) If you have been hired at an annual salary of $23,000 and expect to receive annual increases of ...

A: According to Bartleby's guidelines, We are allowed to solve only 1 question at a time. So, here's th...

Q: dy :-y = xy2 dx

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Q: sin 6z Evaluate: lim エ→0 00 O1 Which among the following limit theorems were applied? sin x O im エ→0...

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Q: 49-60. Evaluate each limit. cos x - 1 57. lim 0 sin? x

A: The given limit,     limx→0cos x-1sin2x

Q: dx Given: Vx sin/x Find: Formula o fcsc u du 2 | csc u du O 2 | sin u du Jsin u du

A: Explained below 

Q: Зх-5 Given: (3х- 1)(х - 3) Find: u x-3 О 32 +3 О 3x2- 10х+3 Зх- 1

A: Explained below 

Q: What values of x make 3(x – 5)(x – 12)(x + 5) = 0? If there is more than one answer, enter your answ...

A: Topic = Algebra

Q: 2. If we visualize the region having "right" and "left" boundaries, express each as functions of y a...

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Q: y y = 2 2 1 y = 1 → X п/2

A: The given question has been solved in detail. 

Q: ind the values of c that make f continuous everywhere: { Sa² – c² if x 3

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e; xo = 10 O 00 e10 E* ...

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Q: Suppose that over a certain region of space the electrical potential V is given by the following equ...

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Q: Question 3. Let P be the collection of all polynomials of finite degree. Let I : P → P be the integr...

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Q: Apply integration by parts: S udv - S vdu = uV sin2x – cos2x dx sin2x + cos2x

A: Integrate the function (sin2x-cos2x)/(sin2x+cos2x) w.r.t. x 

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) -...

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Q: Evaluate: * Sx² – 3 (2х - 3 x 2 f(x) =

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Q: Evaluate the integral V5+ 12x2 – 4xª xdx 2x2 – 3 (2x? - 3)/5+ 12x² – 4xª + 14Arcsin V14 +C {(2x2 - 3...

A: We will use substitution method to solve it.

Q: Csc- X S- /cor?(x)- acot(=x) + 4 Given: dx cot(슬x)+.

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Q: dx Given: 2x- 3xlnx Find: du 3 dx dx 3 -dx

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Q: Question 2. Let V = R³, U = {(s + 2t, s, s + t) : s, t E R} and W = {(x, y, x) : x, y E R}. Is V = U...

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Q: sec (In x) + sec2(In x) tan(In x) dx Given: 2x Find: du

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Q: Consider the function f(r, y, z) = ry+y? + 22. (a) What is the gradient grad f of f, and what is its...

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Q: 2 2x 6. lim X-3-x-3 x2-9

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Q: х — 1 f(x) = }3x – 3 (-4x + 3 x 3

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Q: Evaluate csc?x cot(cot x) dx. O -In |sin(cot x)| +C O cot(csc?x) + C O - csc?(cot x) + C O In |sin(c...

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Q: Consider the following rational function: anx" + an – 1xn-1+ ... + a1x + ao f(x) bmxm + bm - 1xm-1+....

A: The rational function,      fx=anxn+an-1xn-1+....+a1x+a0bmxm+bm-1xm-1+....+b1x+b0

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: 29-42 Find the critical numbers of the function. 29. f(x) = 4 + x - 30. f(x) = x' + 6x - 15x 31. f(x...

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Q: 1 3. Let f(x, y, z) = Show that Vx2 + y² + z²° frx + fyy + fz2 = 0.

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Q: e2t+a (2 cos at – 3 cosh 2at) -

A: We have to find Laplace transformation. 

Q: = 2.4 · x and g(x) 6. x2 and h(x) = - 1.1 · a°. Without evaluating, determine the sign of each of th...

A: The given question has been solved in detail. 

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x2 + y2 + x²y + 5, D = {(x...

A: We will use the following concepts