ΒΣ 3 Θέλη

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 2 (1) limx-o[: 1-cos x sin²x (2)…

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Q: Find dy x 3 In (x - y) = xy + y²

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Q: S 2 (2x² + 1) dx

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Q: y = sin(x), y = 0, x = 0, x = Exercise (a) the volume of the solid formed by revolving the region…

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Q: Find the shortest distance between the point A (3, 10) and the line y = x + 1.

A: Our Aim is to find the shortest distance between the point A(3,10) and the line y=12x+1 -(i)

Q: Use L'Hopital's to determine the limit. lim 3+5 as x approaches in finity 2x+1 O 5 O -3/2 3/2 O-5

A: Solve the following

Q: The figure to the right shows the area of regions bounded by the graph of f and the x-axis. Evaluate…

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Q: Q5: Find for the following functions: (1) In(x - y) = xy + y³ (2)y=tan³ √/cot(7x); (4) y = x sinh…

A: Solution is given below:

Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.…

A: Note: ln(a×b)=ln(a)×ln(b)....(i) ln(an)=n×ln(an) ..........(ii)

Q: Consider an exchange economy with 2 consumers, A and B, and 2 commodities, x and y. Each consumer is…

A: Multiple subparts are asked, I am answering first 3

Q: -1 xp(x + 1)zz² J

A: The given integral,        ∫-11e2x1+xdx

Q: 7dx x(lnx + 1) S:

A: To solve the given integral problem by substitution.

Q: Q5: Find for the following functions: dy dx (1) In(x - y) = xy + y³ ; (2) y = tan³√/cot(7x);

A: To find derivative.

Q: Solve the initial value problem 25y" - 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t) = How does the…

A: We have to solve the initial value problem 25y'' - 40y' + 16y = 0 y(0) = 2 & y'(0) = 3

Q: 04: Answer two only: (A): I A-2 1 -1 1-2 Find AB and AC.. -- 3 1 1 and 1 3 1 CO

A: Given :A=420210-2-11, B2312-2-2-121, C=31-3026-121

Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

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Q: Find the sum of the series. 5(-1)^²n +1 Σ 62n + 1(2n + 1)! n = 0 62n +

A: The sum is evaluated below.

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 -7.x 2x 7e…

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Q: Q2: Solve the following integral (1) 7x²+14x+15 (x²+3)(x+7) dx dx ; (2)

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Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y =

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 (1) limx-o[: 1-cos x 2 sin²x (2)…

A: We have to find the limit using L Hospital rule.

Q: d 1 (a) / (₁2²+ = + 2²/² +6² +5) X dx d ex (b) (x³ sin(z) +2+1) dx d (ln(tan-¹(x))) dx (c)

A: The given problems can be solved using chain rule of differentiation.

Q: Solve the given initial-value problem. y(x) = 7e y" + 6y' - 7y= 11e2x, y(0) = 1, y'(0) = 1 2x -7.x +…

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Q: Q1/ Solve the following differential Equations. 3- dx +2²= 3x x

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Q: Find a differential equation whose general solution is 8t y = c₁est + c₂e-2t. = 0

A: We can find the differential equation as below.

Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim-00 2n+1 2. log10 (3x…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: dy Q5: Find for the following functions: dx (3) y = ex.sin² x In√x

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = = 33.

A: The curve y=sin2x at point x=π3

Q: Approximate the area of the region bounded by the graph of f(t) = cos (t/2/2) and the t-axis on…

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Q: (A): If A = 4 2 -2 Find AB and AC. 2 1 -1 2 3 11 0; B= 2 -2 -2 and 1 l-1 2 1. 3 1-31 C=02 6 l-1 2 1

A: A=420210-2-11B=2312-2-2-121C=31-3026-121

Q: dy 5: Find for the following functions: dx (1) In (x - y) = xy + y³; (2) y = tan³ √/cot(7x); (4) y =…

A: Since we are given with multiple number of question and answered according to the guideline

Q: Transform the given differential equation into an equivalent system of first-order differential…

A: Using substitution and differentiation,

Q: Q2/ A. Find the following limits. Answer four only. i. ii. iii. iv. V. lim x1 x-1 4x-x² lim X-4…

A: To evaluate the limit.

Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

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Q: find the standard equation of the sphere with center (4,3,3) and radius 7

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Q: Sketch the function. 4 k(x) = -x² +6x²-8 Part 1 of 4

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Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1…

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Q: f'(x) = (x+3)(12 - 1)(x - 14) Then the first relative extremum (from the left) for f(z) occurs at z…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Evaluate the integral and check your answer by differentiating. x8 + 8x5 x7 1 dx +C

A: Firstly expand the fraction of given Integral and then integrate

Q: (a) Give the linearization L(x) of f(x) at x = 2. (b) Use your answer from Part (a) to estimate the…

A: Solve the following

Q: 7 [[11x + √]dx = [ 8x3 +C

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Q: Q5: Find dx for the following functions: (1) xcinh 2x coch 2x (3) y = e* sin² x In√x

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Q: 19. For a given function, f(x) = ³ - 15x² + 48x + 2, (a) Find the interval(s) on which f is…

A: Note to student :    Thanks for posting your queries. But there are  multiple parts given. As per…

Q: Find the limit. lim X→x ←+ -54 -3 -2 -1 00 O-2 f(x) 00 SIEX) 4 m 2 14 -3 2 3

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Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

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Q: =) S sin6 x+cos6 x sin³ x cos³ x dx

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Q: Find the limit. lim (x,y) → (5, 1) ety Discuss the continuity of the function. O continuous…

A: See this solution in below

Q: Q5: Find for the following functions: dy dx (1) In(x - y) = xy + y² ;

A: Find the derivative

Q: Use the substitution u= x² + 6 to find the following indefinite integral. Check your answer by…

A: To evaluate the integral.

Q: A rectangular field is to have an area of 500 m². a. Write the perimeter, P, of the field as a…

A: The solution is given below