dr 14. J z(x+1)²

Q: Find f, and f, as functions if 2y f(x. y) = y+ y + cos x

A: This question is related to differentiation, We will solve it using given information.

Q: Show that fu,, u2, uz) is an orthogonal basis for R. Then express x as a linear combination of the…

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Q: Solution :- we have Fla) =5 cas 2x %3D Now di'fferentiate it wot x x d (cos2x) %3D Źx(-2sin2x) %3D…

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Q: B. Evaluate the following .5 2 -x-6|dx 5 1. 1 dx 2. | 2tan(x)dx 3. 3 dx

A: As per bartleby guidelines we only give first three question answers.

Q: 15. The solution of Laplace equation и + 3 0, и(х,0) — 0, и(х, п) — 0, и (о, у) — 0, и(0, у) %— 3sin…

A: Please see the below picture for detailed solution.

Q: 5. Evaluate the limit of (x^3-2x^2-x+2) /(x^2-4) as x approaches 2. a. a b. % с. 2/5 d. 4/7

A: Note: Since the student has posted multiple questions but first question (question number 4) is…

Q: Let f(x) = 10x° + rx? + e2x. Compute f(")(x). (Use symbolic notation and fractions where needed.)…

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Q: Where is each function continuous? (b) f(z) = sin (1-r) I+3 (c) f(r)= In (d) f(r) = 12+5r +6

A: Topic:- function

Q: 5. A two-pen corral is to be built. The outline of the corral forms two identical adjoining…

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Q: Find a formula for the nth term of the arithmetic sequence. a1 26, d = 8 %3D an

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Q: values of x in the open interval (0, 2) satisfy the conclusion of the Mean Value Theorem for the…

A: This question is related to Mean value theorem, we will solve it using given information.

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

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Q: Determine which graph corresponds to the area enclosed by the curves y 3x and y = x2 + 7.

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Q: Find the equation of the sphere

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Q: How can we write out the summation of this notation

A: Topic:- simplification

Q: 5 (b). ( the base radius making the surface area minimum. ) Consider a cylinder having fixed volume.…

A: Use the application of derivative to minimise the surface area.

Q: Determine the Laplace transform of the following function f(x) = x2 1.

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Q: he volume, V, of a sphere in terms of its radius, r, is given by V (r) = Tr3. Express r as a…

A: Topic:- function

Q: Pers 81. Let R be the region in the first quadrant bounded by the y-axis, the x-axis, the graph of y…

A: We have to find the volume of the solid.

Q: Evaluate with out hoH LnX lim

A: The given limit is: limx→1lnxx-1   As we know from the Taylor series with center 1:…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos*…

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Q: Find the length of the curve y ' = 8x from x=1 to x = 8 www

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Q: dy = ky dx

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Q: Question Help: DVideo

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Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2-i,z3 = -V3- 3i and z4 = 4 + 4i %3D 3.1 Represent…

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Q: 23. Use Stokes' theorem to evaluate Se F · dr, where F(x, Y, z) = (xy, yz, zar) and C is the…

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Q: dr J. (z+1)?

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Q: rd order st order C

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Q: f (x) = arctan(x) Consider Using the given f (0.75) by making use of function at approximate the…

A: This is a problem related to series expansion. Based on the general formula and concept we will…

Q: (-3,-).* Plot the point whose polar coordinates are (-3, . In the graph below, use the options to…

A: Given problem:- Plot the point on graph whose polar coordinates are (-3, -π/6)

Q: Se* sin e*dx

A: We have to find integrating of given Questions

Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

A: We have to answer following Questions.

Q: Q.4 Let Ø be a scalar point function defined as follows Ø = x3 + y3 + z - 3xyz. %3D 4.1 Find the…

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

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Q: Find the radius of convergence and the interval of convergence.

A: Solve by  formula

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: This is a problem related to derivative of the function. Derivative of the distance function give…

Q: Flnd the maximum rate of change of f (x.y) =e*²+e*+2y at P (2,1) 29 e4 V 29 e 16 O 7e4 O Viet

A: gradient of function fx, y=ex2+ex+2y, at 2, 1

Q: Q2/: Full the following blanks by the suitable solution (Undetermined Coefficients method) If y" +…

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Q: Which of the following is the solution of ди +2- ди Ox 0 = a) u(x,y)= e"-2x b) u(x, y)= (2x + y)³ c)…

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Q: 10. Evaluate the limit of 0/(2 sin0) as 0 approaches 0.

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Q: estion 10 ICLO-1] Three players (one divider and two choosers) are going to divide a cake fairly…

A: Given ,  Three players (one divider and two choosers) are going to divide a cake fairly using the…

Q: taylor tan)

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Q: taylor LnX

A: Taylor series:  fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+..... Where centered at x=a.   Given; fx=lnx…

Q: Find the average value of f(x) = 14 – |x| over the interval [ – 14, 14]. fave

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: dz Find if z = 16x5 – 18x³y3 + 9y – 4. %3D ay az %3D ду

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Q: Evaluate the following .5 |x² – x – 6| dx -5 1.

A: First partition the domain for mod function then integrate accordingly

Q: 2 tan(x)dx

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

Q: Calculate ri(t) r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

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Q: Evaluate the following limits for h(x) = { 1- 5z 120 (i) lim h(r) (ii) lim h(x) (ii) lim h(z)

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Q: Find the limit.

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