2x²ydy where C is the triangle with 7) Evaluate Sexy² dx vertices (0, 0), (2, 2) and (2,0)

Q: y'' + 4y = cos2t y(0) = -2 and y'(0) = 0 Solve the IVP using the Laplace Transform.

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Q: Determine whether the integral is convergent or divergent. 3 30 [³ convergent 3-x O divergent Submit…

A: Given query is to find integral converging or diverging.

Q: 14. Find the x- intercept, y- intercept, and 2- intercept, then sketch the plane x + 2y + 3z = 6.

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Q: Find the area of region enclosed by x = t - t¹, y = t-t², 0 < t < 1 using Green's Theorem.

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Q: Set up and evaluate the integral for the area of the shaded region. y=x²-3x² - 40x ... X Evaluate…

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Q: 6. Sketch the following two curves: r = 2,0 = 3π

A: First we draw theta=3π/4 graph by assuming r is constant after that we merge radius r=2 graph

Q: find the defiorte integral of 112 s dx. dx 1-X²

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Q: Find the area of the shaded region. x = y² - 4 -2 y 3 -3 y = 1 x = e 2 y = -1 4 X

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Q: 7. The solution of the recurrence relation an-3an-1 +2an-z = 0; a₁ = 5, a₂ = 3 is: C. an=2"-3" A. a₁…

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Q: Solve the system of equations using Cramer's Rule if it is applicable. 5x + 2y = 5 10x + 4y = 4…

A: 5x+2y=510x+4y=4

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x) = f*cos(tº) dt.…

A: The given function Fx=∫x5xcost6dt. We have to find the derivative function F'x.

Q: Find: A) Rational function that is the opposite of the given function.

A: f(x) = -13x + 1 y = f(x) = 1-x3 The rational function that is the opposite of the given function =…

Q: Find the Taylor polynomial T3 (x) for e^3x centered at 0. What is T3 (1)?  (T3 is suppose to look…

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Q: Kiet Ma sells refrigerators.  He carries 3 models.  Price and monthly sales for each model are…

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Q: Find the length of the following curve. X = 3/2 (2t+7) 3 1 12 y = 3t+ 0st≤2 2₁ The length of the…

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Q: A 5500-pound vehicle is driven at a speed of 45 miles per hour on a circular interchange of radius…

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Q: 7-30 Evaluate the indefinite integral. dt cos²t√√1 + tant co 0. fx √x + 2 dx 24. fc

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Q: 6 9 A 4 B

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Q: Suppose f'(9) = 7 and g'(9) = 9. Find h'(9) where h(x) = 3f(x) + 2g(x) + 4. h'(9)=

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Q: A sphere of radius R is to be inscribed in a right circular cone of base radius / and height h. What…

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Q: 4 2 So S²/ : |~ 0 √x y³ +1 dydx

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Q: Consider the function y = (ex+b)x. Which of the following is true? The function is increasing in its…

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: Find surface area generated by revolving the curve a2y  x3=about the x-axis from x = 0 to x = a. a)…

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Q: 12) please show all work

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Q: (a) A circle has radius 3ft. Find the area of a sector of the circle with a central angle of 45⁰

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Q: We can use L'Hopital's Rule to calculate lim X18 x³ + 2x ₂3 2x²

A: limx→∞x3+2x2x2we know that indeterminant forms is 00,  ∞∞, 0×∞, 00, ∞0, 1∞ and ∞-∞

Q: Evaluate the definite integral 9 Loc 4 (10x + 2)dx

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Q: Use upper and lower sums to approximate the area of the region using the given number of…

A: Solve the following

Q: 8. Find the standard form of the quadratic function whose graph has vertex at (2, 4), and passes…

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Q: Determine the radius and interval of convergence of the following power series. [k²x²k k! The radius…

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Q: Use linear approximation, i.e. the tangent line, to approximate √25.1 as follows: Let f(x)=√x. Find…

A: Given function:- fx=x

Q: The position vector of a particle is (a) Find the length of the curve for 1≤t≤4 (b) Find parametric…

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Q: Find the point(s) on the surface at which the tangent plane is horizontal. z = 5-x² - y² + 2y (x, y,…

A: The given surface is: z=5-x2-y2+2y

Q: 3) Find curl (xyi + yzj + zxk)

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Q: (c) To find the distance across a river, a surveyor chooses points A and B, which are 10 ft apart on…

A: Given: ∠BAC=105°, ∠ABC=45°, AB=10 ft

Q: Calculate the derivative of: ƒ'(x) = → f(x) = - cos-¹(15x) sin ¹(15x)

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Q: The area of a square is increasing at a rate of 48 centimeters squared per second. Find the rate of…

A: The area of a square is increasing at a rate of 48 centimeters squared per second.

Q: If what does the following integral equal? - 26 - 96 [7f(x) + 3g(x) — h(x)]dx = = I 26 f(x) dx = 8…

A: use the algebraic property of integrals.

Q: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle…

A: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle.

Q: Please Rewrite this so I can understand

A: Solution

Q: For the following prob asymptotes of the func 3x-5 f(x) 2x+8

A: Please see the below picture for detailed solution.

Q: If ['r f(x) dx = 8 and 1³(x) ind [^r(x) dx. f(x) dx = 5.8, find

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Q: Find the exact value of trigonometric functions oft from the •● given information : sect=-2,…

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Q: ∞xk The power series for the exponential function centered at 0 is ex=for -∞o <x<∞o. Find the power…

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Q: Evaluate the limit. [A] = [B] [C] - [D] - [B][C] lim h→0 1 3 - 1 3+h h [E] ∞

A: Given query is to find the value of the expression.

Q: (sin20 - 2pcos)d0 = 2dp

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Q: Find the area under the given curve over the indicated interval. y=x³; [0, 3] The area under the…

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Q: 4. Solve the equation by factoring 3 tan ³0 + 3 tan² @-tan 0-1=0 16=

A: Solution: 3tan3(θ)+3tan2(θ)-tan(θ)-1=0 Using substitution method Let tan(θ) =u So the equation will…

Q: Find the arc length of the curve y = =(x-1)³/2 over [1,4]. Show all of your work.

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