Applying implicit differentiation, find the derivative of the function 1/x + 1/y = 1

Q: 29. Evaluate z²zds, where S is the portion of cone 2² = x² + y² that lies between planes z = 1 and z…

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Q: Prove Or disprove the the following: d dx a (xarctan - in (a² + x²)) = arctant a

A: ddxxarctanxa-a2lna2+x2=arctanxa

Q: Solve the following first order DE: dy x+3x² dx y² a) 2 b) y'+=y= X ‚ then find that solution for…

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Q: Find the linearization at x = a. f(x) = 5x³, a = 1 (Use symbolic notation and fractions where…

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Q: A-1²3 5. Find the determinants of A= 1 1-6 B -1 4 4 Is det|A| = -det|B|? 5 -1

A: The matrices are A = 21-1-14451-1B = 2-11-1445-11 To determine: The value of determinants of A and…

Q: Evaluate the definite integral foto tº cos(t5)dt: 5/π/2 Step 1: Start by making the substitution…

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Q: Find the 4 th Taylor polynomial of f (2) = Ti ( z ) - N s ( 2 ). If zg= 0 COS N

A: Solving the problem

Q: Determine whether the improper integral diverges or converges. O converges O diverges dx Evaluate…

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Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 2) and…

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Q: Find AB and BA. 2 -2 0 A = [33] and B = [11] -3 9 Select one: O a. AB = 2 = [39]; J: BA B = [];BA =…

A: Given: A=2-2-39 and B=1001 We are required to find: AB and BA

Q: How long do you need to invest your money in an account earning an annual interest rate of 5.177%…

A: A=P1+rnnt⇒A=Amount at time t⇒n=compounded period⇒r=rate of interest⇒t=time in years⇒P=initial amount

Q: dt t² - 8t + 20 +2

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Q: Evaluate the integral. (Use C for the constant of integration.) [7t sin 7t sin²(t) dt

A: Explanation:-

Q: 24) Madaurin 4th order of f(x) = sinh(sinx)

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Q: 3. y=√√2x (x²-2), y'=?

A: We have to find the derivatives.

Q: 15. lim x-0 17. lim t->0 19. lim x-0 √1 + 2x 5¹ - 3¹ t et 1 2 x² X X √1 4x

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Q: 4. Find the distance between the planes: 4x+3y-2z=20 and 4x+3y-2z=-11. a. Find any point P on the…

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Q: For the differential equation: = sin(z)y, what is the slope at (0,2)? 02 04 O 1 0

A: A differential equation y'=f(x,y) represents the slope field of the curve y. at a point x0,y0 The…

Q: Find the area of the region. y² = x²(1-x²) -2 2 o -2. 2 X

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Q: Evaluate sin (‡) dxdy- -π/2 cy² 1

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Q: s dx ²√x² x² - 81 x² x = 9 sec (0)

A: ∫dxx2x2-81

Q: The electrostatic potential on all parts a a conducting circular disc of radius r is given by the…

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Q: Find sin(8) O√3 -|~ 2 √2 2 이틀 2 TT 5T/6 7m/6 2/3 4/3 TT/2 3T/2 ○ TT/3 5/3 _TT/6 /11/6 0

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Q: Find the local linear approximation of f(a) = 2√ at x = 4. Oy=(x-4) O y-2√x-4 Oy=4 Oy=x+2

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Q: Evaluate the surface integral. Jy y ds = ²/3 (x³/² + y³/2), 0 ≤ x ≤ 5,0 ≤ y ≤ 3 S is the surface Z =

A: ∬sfx,yds=∬Dfx,y1+∂z∂x2+∂z∂y2dA Note:- Since you asked multiple question , according to our policy we…

Q: Find the value of d2y/dx2 at the point defined by the given value of t. x-9 sin t. y - 9 cost, t =…

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Q: 4. Determine the values of a and b such as the two vectors (2,1, a) & (b,-2,2) are a. Perpendicular…

A: We hae to find the vales of a and b for the given conditions.

Q: Question 10 Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: The given values are: m=6        and        n=1v=-4, 7

Q: Scot³ (x²) csc² (x²)x dx Туре u u |

A: To evaluate the following integral. ∫cot3x2 csc2x2 x dx

Q: After walking through the fifth gate, your computer informs you that more than half of the gates…

A: According to question,Given Function,ft = 1a3t3-23t2+6945

Q: 3 For the differential equation: (), what is the slope at (0,2)? √2y² +1 O 9 O 1 O

A: The differential equation y'=f(x,y) represents the slope field of the curve y=g(x,y). at any point…

Q: 3. S sinxdx 7+ cos²x

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Q: What is the area between the curves y= integrating with respect to x.). O ! (6) WIN = ² and y=-x² +…

A: y=x2 and y=-x2+2x

Q: Using inverse matrices to solve the system of equations what are: 1. matrix A 2. matrix B 3. matrix…

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Q: Determine the area bounded by y^2+4y=x-3 and 2x-y-3=0. Using a Horizontal Element.

A: The area bounded by the curves x = f(y) and x = g(y)  between y= a and y= b is given by…

Q: Given the ellipse: (x − 3)² 36 Find the center point: List the four vertices: + (y - 4)² 25 = 1

A: Given the ellipse: x-3236+y-4225=1 To find the center point. To list the four vertices.

Q: Prove or Disprove the following (show full solution) d at (x arcsinx + √T=x²) = arcsinx

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Q: Use partial fractions to find the area of the given region. 7 16x² y = y 3

A: Now area of the region f(x) from a to b formula Area=int_a^b f(x) dx

Q: 11. Use a table to find the Taylor polynomial P3 (x) for f(x) A. B. P3 (x) = Use the series to…

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Q: Find the length of the entire perimeter of the region inside 13 sin (0) but outside r = 3.

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Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: 7. fc (x + 2y) dx + x² dy, C consists of line segments from (0, 0) to (2, 1) and from (2, 1) to (3,…

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Q: Consider the following. xy²z³ = 80, (5, 4, 1) (a) Find an equation of the tangent plane to the given…

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Q: Find a plane containing the point (5,-2,8) and the line of intersection of the planes 7x+6y-z = 27…

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Q: Use the fact that tan x-x+²+25+12+ for (x) < to find the first four terms of the series for In(cos…

A: The series expansion of tanx⇒tanx=x+x33+2x515+17x7315+.....

Q: dy dx C 3x² 3y² - 4 y(1) = 0

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Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: = x³ and What is the volume of the 3D region, whose base is the region between the curves y = y = √,…

A: We have,   Curves :- y = x3 and y =  √x  Cross section are squares.

Q: Graph the function and find the limit (if it exists) when x approaches 2. [2x + 1, x < 2 x + 3, x ≥…

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Q: dy dx + 2y = x³e-2x

A: The given differential equation is: dydx+2y=x3e-2x