Identify the focus and directrix of the parabola: y = -4(x - 2)² - 3. f: (1, -4), d: y = 2 f: (2, -4), d: y = -1 t. (2-3-1). d y = -215 f: d: 16 15 °r. (2-25). d.y=-31 15 f: d: == 16 16

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

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A: Follow the procedure given below.

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Q: JC LUDJE SH 31 Exercises 4.4 Use Laplace transforms to solve the given different d²y dy 1. 3- + dx²…

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Q: II. Coefficients Linear in Two Variables 1. (6x-3y+2)dx-(2x-y-1)dy=0 2. (9x-4y+4)dx-(2x-y+1)dy=0

A: We can solve the given differential equation.

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Q: possible formula for the trigonometric function whose values are in the follo 0 1 2 3 4 5 6 -2 -5 1…

A: Topic:- function

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Q: √₁ 5. X x² 2 ²+x-6dx

A: Given:        ∫x2x2+x-6dx For the integrand x2x2+x-6, take partial fraction      =∫-95x+3+45x-2+1dx…

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Q: dy at t= is (not that these functions in N) dx a) -1 b) 0 c) d) 1 e) others Q5: If y=tant and x =…

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Q: Question. R is the region bounded by the functions f(x) = 3e¹ - 1 and g(x) = x² - 6. Find the area…

A: R is the region bounded by the functions fx=3ex-1 and gx=x2-6. To find the area of the region…

Q: Suppose f (a) g' (b) h' TU IT (5) = −5. Let g(x) = f(x) sin(x) and h(x) = cos(x). Find the…

A: SOLUTION-

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Q: Use point-slope form to find the equation of a line that contains the points (100, -40) and (20,…

A: Given, (x1,y1)= (100,-40) (x2,y2)= (20,-5)

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Q: 2. For the below ordinary differential equation, state the order and determine if the equation is…

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Q: 1. Evaluate the given integral Q. y/3 9-y² - 1.² [ord ³* 0 0 0 Q Your answer (1-2) dz dx dy

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Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

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Q: Determine the maximum and minimum of each function on the given interval 9 a. f(x) = x³ - 12x + 2,…

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Q: Find the integral of each of the following: (a) S(-6x³ +9x² + 4x − 3) dx (b) f(12x²9x) dx

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Q: Let f(x,y) = 3x4 - 4x³y + 2x2y2-y. Let f, be the partial derivative of f(x, y) with respect to x.…

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Q: Evaluate tan |2x| dx F

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Q: 7. Determine whether the series converge and if so find its sum. (a) (b) IM8 Σ k=1 2k+1

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Q: Find the center of the circle whose endpoints of the diameter are (-2, 3) and 2' 2 (4.9) (-4,-2) O…

A: Topic = Geometry

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