4. √₁² (x²³/2 + x ²¹/2₂ - x^²/2) dx

Q: 2- Show that the function U(x,y)= 3x²y-y² + y is Harmonic and then find it's Harmonic conjugate V(x,…

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Q: y=0 x=y ye dxdy=

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Q: Q.4. Use the Ratio Test to determine if the following series converges or diverges. n! Σ=1 (2n+1)!

A: To find whether the given series converges or diverges.

Q: Find the indicated derivative and simplify. [3x log x³] dx [3x log x³] = dx (Type an exact answer.)

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

Q: Write an equation of the line that passes through (-5,1) and is parallel to the line defined by…

A: The line passes through -5,1 and parallel to the line defined by 5x+y=2

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Q: Express the given quantity in the form a + ib. sin(-8i)

A: Given.

Q: Question 2.7d. Consider the linear system of differential equations Select the particular solution…

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Q: 39. The curve has an equation of x² + y2 = 25. The area on the first quadrant of the curve is…

A: Given curve x^2+y^2=25.

Q: Find the first 4 terms in the maclaunin serie, for Y=x/sqart (1-x^2)

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Q: 4) Show that and 4x 2 - 4x f(x) = 4x-2 4-4x are eventually fixed points for the function : 0<x<…

A: Given

Q: and the local maxima, local minima, and saddle points of the function, f(x, y) = x³ + 3xy + y³

A: Topic = Derivative

Q: x² - 4 S √3x² +18x+27 dx

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Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: 1 7. If {F(t)} = (-5)3, find F(-1). (s-5)³ A. es B. 4 2e5 8. Which of the ff. series is convergent?…

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Q: Express e in the form a + ib. (Simplify your answer completely.) z = -0.26-7

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Q: Determine an expression for expression for 3(y-2)³ − x² = 4x − 6. dx

A: Solving the problem by finding the value of the problem by finding the value of the derivative.

Q: 28) Find the GCF and LCM for 23 313 532 and 25 323 513

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Q: Express (+)² in polar form O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] 3 [cos 70+isin 701

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Q: What is the exact value of tan 0-√3 0-1 01 0 √3 16л 3

A: we have to find the exact value of tan(16π/3)

Q: An employee at a garden center fills a water tank once a day around noon to a height of 20 inches.…

A: Given: M(x)=5x3           T(x) =5x-103   where x in seconds

Q: c) real numbers 2. Show that the decimals below are rational. a) 0.4 b) 0. 21 c) 0. 14

A: As per the company guidelines We can first three parts of  question . Please understand. Kindly…

Q: f(3x + 2)² dx

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Q: -4 dx 2. 510

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Q: The flight path of a rocket, launched from the ground, is modeled by y = 0.25(40x-x²), where y is…

A: The problem is solved below

Q: 9. f²-2x(3x - 1) dx

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Q: 2. Find the area of the plane region bounded by y = 3x + 1, x = 1, x = 3,and the x-axis. y y = 3x +…

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Q: Show the 2 SOLUTIONS using Simpson and Trapezoidal's Rule. Thanks

A: Given

Q: dx dy Show complete solution solve: Bernoulli Differential equation 3 x = x² siny EXERCISE -(-siny +…

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Q: 12. Question* [ *2_4 On() + C ○ In ( x + 2) + C On (2/2) + C *+2

A: Solving the integral using method of partial fractions

Q: 9. Evaluate * [ f Arcsin x dx 0

A: Given, ∫01Arcsin xdx

Q: How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x + 2y + z = 1? If there…

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 6 cos(t)i…

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Q: Find y'. sin x = x(1+tan y)

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Q: 4. Find an equation of the tangent line to the curve of f(x) at the given point. 2x + 11 (a) f(x)= =…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the functi h(x) = = 60%…

A: We have to find derivative

Q: 5. √₁²x³ dx

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Q: Assume that z = f(w), w = g(x,y), x=4r³-s², and y = re. If g (4,1)=-4, g,(4,1)=2, f'(7)= -2, and…

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Q: 6. f²₁ x dx

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Q: j x+x2+x+2dx **+3x²+2 lax of S x²+1 of (x²+1)(x²+2) 01 +1 -1 of x²+2 (x-1)dx (x²+1)(x²+2)

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Q: Sketch the set of prints determined by given Condition 러니 12-util =3 -i

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Q: dy B)Solve differential equation dx -(sinx+cosy) y²-x siny

A: Exact differential equation

Q: 8. f sec² (3x - 1) dx

A:

Q: Calculate the integral SS²y-2x e²y-2x (y + 2x)³ dA R Where R is the region formed by joining the…

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Q: dy Find for y = dx dy dx 1 13

A: The required derivative is given below

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Q: Solve for the general solution of the given ordinary differential equation using determination of…

A: The given diffrential equation,x2+y2+1dx+xx-2ydy=0

Q: Find an equation for the hyperbola described. Graph the equation. Center at (8,-1); focus at (10,-…

A: Topic = Hyperbola

Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute 1 the polor integral…

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Q: which method is best to describe an infinite set?

A: The solution is given below