Use Cramer's Rule to solve this system of linear equations for y only: 2x - 4y - 2z = - 4 4x + 3z = 4 2x - 2y + 2z = 8

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Q: ∫(x2+5)2 dx Evaluate indefinite anti-differentiation

A: Let's find.

Q: dx Find -given that dt 7x² + 6y² = 13 x = 1, y = - 1, and Give your answer as a simple fraction. dx…

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Q: Find the area of the shaded region. = √cos 20 9 cos X r

A: Area = integration of 1/2 (r2^2 - r1^2) d(theta)

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A: Given R=700-400e-(x/100)

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Q: x² - 1 dx 2 2 X²

A: We have to solve above question

Q: compute the area of the surface formed when f(x) = x3 between 1 and 3 is rotated around the x axis

A: Solving

Q: eſt 2 du given that * f(z) dx = 12 f(4Tan¹(u)) 1+u² Evaluate

A: Hint :  This problem is application method of substitution in definite integral. If you have not…

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Q: Evaluate (sin² (sin² x cos x)(1+ sin z cos x) dx.

A: Use substitution method

Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A: We have to find the surface area.

Q: Let f(x) = 3x5 - 5x³.

A: As per our guideline we are supposed to be answer only first three subpart of the question you can…

Q: 3 5) S² x ² + 1 dx X+1

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Q: log(is²t) + 1 log; 10 + logn C logn, 10

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Q: a. Find the other functions of the triangle ABC, given that: 1. Sec A = 2 2. Cot A = 5/2

A: Solution is done in step 2

Q: ∫cos(7t) dt Evaluate indefinite anti-differentiation

A: LetI=∫cos7tdtPut 7t=uDifferentiate on both side7dt=dudt=du7ThereforeI=∫cosu17duTake the constant…

Q: 27. Show that the tangent at any point 0 on the curve x = csec 0, y = c tan is y sin 0=x-c cos 0.

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Q: x5 (2 – x²) 5 dx

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Q: ch, choose its equation from the following. = sec (x+²) = y = cot (x + ²) 4 v=2 tan x 2 y=-csc x 1 T…

A: we have to find the graph

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A: This is a problem related to vector calculus. Based on the general formula of green's theorem we…

Q: Consider the system of equations x₁ − 2x₂ + 3x₂ = 1 - 2x₁ - 3x₂ - 2x₂ = 3 x₁ - x₂ = 5x₂ = 2 a.…

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Q: Find the exact area under the graph of f(x) = = and x = 2. Area = 1 x+1 between r=0

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Q: sec7(t) tan(t) dt Evaluate the following integral using substitution rule or integration by…

A: We have to find the solutions

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Q: r₁(t) = 9ti + 4t²j + 3t³k, r₂(t) = t¹k d # [r₁(t) · r₂(t)] = = dt d dt [r₁(t) × r₂(t)] = r(t) x

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Q: Consider the following. (1, 1) 2 6 10 X 4 X=8 -4 y = 2-x -6 -8F (a) Form the integral that…

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Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(9t)i + 7…

A: Let's find.

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Q: 2(-3x+1), dx

A: I=∫ 32(-3x+1) 2-3x dx21-3x =t21-3x ln2  ddx(1-3x) dx=dt-3 ln(2) 21-3x dx=dt2-3x dx=dt-6 ln 2

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A: Solution is given below:

Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: The Smith's borrow $45,000 to purchase a new home. They finance the amount through a 25-yr mortgage…

A: Given problems:- 1. The Smith's borrow $45.000 to purchase a new home. They finance the amount…

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Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

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Q: 2. Find are Ətəx

A: The given function is v=(3t-x)e-2t ................................ (1)

Q: Problem # 15 7 tan (2x) dx use: tan²x = sec² x - 1

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Q: Consider the following series. Σ» (#1) (a) Determine whether the series is convergent or divergent…

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Q: The graph of g consists of two straight lines and a semicircle as shown in the figure. y 20 y = g(x)…

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Q: Scos2x (2 cos2x-1) dx

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Q: f(x) = { 2x + 1 10 - x x < 3 x ≥ 3; a = 3:

A: Here we have to find the limit at x=3.

Q: 3. Solve the following equations by using variation of parameters methods: a) y" - 2y' + y = e* ln x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Compute the following determinant. 4 -6 |-4 1|

A: Given

Q: Consider the following. y 2 y=4-x² (2.0), X 0.5 1.0 1.5 2.0 2.5 3.0 (a) Form the integral that…

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Q: solve the differential equation in higher order differential equations complete solution PLEASE…

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Q: (3x+4)2dx Evaluate indefinite anti-differentiation

A: The given integral is (3x+4)2.