:S- iven : alue of AB 3 8x+1 4x- dx. If we let the substitution" = 4x-5, the final answer takes the form 4x-3 6 -(Ax+B) + C. Find the

Q: √9-2³ x² + y² dy dr into a double integral in polar form. TITE f(x, y, z)dV, where f(x, y, z) = x²yz…

A: We can set up the triple integral.

Q: Find a function y(x) such that 6yy' = x and x and y(6) = 9. y =

A: Topic = Differential equation

Q: 14 Given the triangle answer to 4 decimal places. X find the length of side x using the Law of…

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Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

Q: 5. (a) Find the particular solution of the differential equation x³ = 1-e²t if x(0) = 2.

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Q: need

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Q: 5. Consider the region bounded by y = x² - 4x+5 and y = 2. The region is revolved about the vertical…

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Q: 2. fizə] ycos (xy)] dx + [2xe2y - xcos (xy) + 2y] dy = 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

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Q: Find the center and radius of the circle whose diameter has an endpoint at (3, -4) and the origin. 5…

A: Given that the endpoints of the diameter are 3,-4 and 0,0.

Q: 4. Find the exact length of the curve. π x = 5 cos³ 0, y = 5 sin³ 0, 0≤0≤- 2 Write Answer In…

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Q: a. (x-²)(x + xy) = 4 b. √√√xy=x-2y at (4,1) c. cos(x² + y²) = y²sinx² d. y² = ln(x² + y²)

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Q: The area enclosed between the two curves x² = 2y and y² = 2x is rotated about the x- axis. Determine…

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Q: Evaluate So * sin ada

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Q: f(t) = In Itsinx 1-sin x g(x) = x sin ¹3x + √1-9x² G(x) = x In (9 + x²) + 6 tan-¹ (-)-2x

A: Note: Since, in the first function there is a typing error "f(t)", it should be "f(x)" because it is…

Q: .2 (a) x² + y² (b) 3x2 + 3y

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Q: Find the order and degree of e^y" - 3(y¹)² + 2xy = xe² and write the differential equation in noxmal…

A: Follow the procedure given below.

Q: Q4: Let y = √t and a) 2 b) 3 c) 4 t = x² then y(n) = 0 if n= d)5 e) others

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Q: 5. Find the half range cosine Fourier Series for the function.. X OCX < Z ..£.(x)..= TT-X <x<T -ans:…

A: Given

Q: 10. 2z + 3 2+2 11. 2z - i iz + 2

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Q: Find the radius of convergence, R, of the series. 00 (x-4)" n+1 n = 0 R = 1 Find the interval, I, of…

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Q: -. (ex. + Iny + 2) dx + +In+siny) dy = 0 sin y)

A: To solve the given differential equation

Q: 1. Set up the integral (but do not evaluate) to find the volume of the solid obtained by rotating…

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Q: Find the solution of the following differential equation. (x² - 1) + 2y (x + 1)² dy dx 1.

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Q: Which of the following is linear equation? a. 3x + 2y-z² = 0 b. sin 2x + y = 1 c. log x + 2y = 2 ww…

A: The equations are To evaluate: The linear equation.

Q: The value of arcsin O KIT X 4 KIO O KIM X 3 KIN 2 (9) is

A: here is given that sin-1(1/2) we now that sin-1(sin(π/6))

Q: Question 15 The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the…

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Q: 18. Evaluate § (9 − x² − y²) dV, where H is the solid hemi- sphere x² + y² + z² ≤ 9, z ≥ 0.

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Q: di +1000- +250000i =0, given df i'(0)=100. [i=100te-500] d²i d1² i(0) = 0 and Laplace Derivativ

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Q: and

A: We have to find the solution of the given differential equation

Q: CA d 15. (4D²+20D +125)0=0, where D=- dr de = 2.5. whe 0,0=3 and

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Q: Q2: The equation of the tangent line to the graph of y=1² and 1=4x² at 1=1 is (not that x is…

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Q: 3. Worldwide annual sales of smartphones in 2013-2017 were projected to be a 9--10p+4,360 million…

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Q: Find the exponential function f(x) = Cbx whose graph is given. y (3,500) f(x) = (1, 20) X i

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Q: If y(z) = √3+ rºdr then 0 y' (2) = 524√√3+25 Q X estion E

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Q: 17 Simplify cot(arcsec 1) undefined 1 0 -

A: Given problem:- Simplify cot(arcsec(1))   undefined 1 0 -1

Q: Find the lower sum for f(x) = +4 on the interval [-4, 0] using 2 rectangles. 10 "F Submit your…

A: Here we have to find the left sum of given function.

Q: y''+2y'+2y=r(t), where: r(t)={10sin2t if 0π ; y(0)=1 ; y'(0)=-5

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Q: Test the series for convergence O a. the series diverges O b. the series converges ∞ 3k k-1!

A: We need to evaluate the convergence of the series :

Q: 21 The equation x2 + y2 = 5 has _______. a center at (5, 5) and a radius with a length of five…

A: We know that the equation of circle is: (x-h)2+(y-k)2=r2 where, (h,k)- centre of circler-radius of…

Q: 2. Find the area of the region bounded by x = y² - 4 and x = 3y.

A: Given query is to find the area of the region.

Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 y=x 2 (6,6) 8

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Q: Simplify arcsin (-). KIO $0 11x 6 7x :|00

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Q: (b) 0.52, 0.34, 18.07 (c) 0.77, 1.08, 16.64 (d) 0.52, 0.34, 20.14

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Q: 5) The number of 3 - digit numbers with repeats, that are multiples of 5 and less than 600 that can…

A: Permutation is used

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

A: Basic identities of integration are used

Q: 2 9- r2-x Consider the integral fff dv = [₁² f³-²³² ²6²² + . dz dy dx. 0 S (a) Sketch the solid S.…

A: Let's solve.

Q: Let S (x,y) = 3e³x² +2e³x+5y + 4e'y?. Find fy A 3e'x4 + 10e³x + 5y + 28e¹y6 12e x³ + 6e³x+5y + 4e¹y7…

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Q: 16. Create the augmented matrix for solving the following system of equations and show the 1st step…

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Q: Find the indefinite integral: O 10sin 3x - 20 cos 2x +6 e5x + C 90sin 3x 60 cos 2x + 150 e5x + C…

A: The objective is to find the indefinite integral.