. What is the snortest distance between the parabola y=2x² and the line y=4x-4

Q: Find the maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

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Q: The graph shows the parabola c(z) = 7-², together with a shaded region. 94 -2 -1 3 + -2 Set up the…

A: The given equation of the parabola is: cx=7-x2 Now find the x-intercept of the given parabola.…

Q: Find the general antiderivative of f (x) = 4 x ln x²

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Q: 2. Find the Maclaurin series of f(x) = tanh-¹x

A: Note: according to our guidline i can solve only first please reroute the remaining question.  Find…

Q: how do i graph (steps) f(x)=x^2-4x ?

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Q: Evaluate the integral. π/4 Jo 0 sin5(x) dx

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

Q: The following integral will be evaluated using integration by parts with the indicated choices of u…

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Q: Fill in the blanks to describe the transformations that occur in the the graph from the Parent…

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Q: Find the interval of convergence for The interval of convergence is a E esc # $ 2 9 20 W C 3 e L 4 r…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Find the volume of the region bounded above by the elliptical paraboloid z = 6 - 2x² - 2y² and below…

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Q: Sketch the region enclosed by y = e, y = e¹0, and x = 1. Find the area of the region.

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Q: mph. Ship A leaves port sailing west at a speed of 30 mph. Six hours later, Ship B leaves the same…

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Q: 2. Determine the angle, to the nearest degree, between the vectors * = (4,6,-2) and y = (1,8,2)

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Q: Determine the thirteenth term in the sequence whose nth term is an= -6n a. -66 b. 19 c. -78 d. 94

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 1/3 sq. units 1/4 sq. units…

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Q: to onuabjanip 2+1 (-1) 7-1 Jo to - 두 + 두 Soudbranvol - 1 Prove the

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Q: We are interested in the first few Taylor Polynomials for the function f(x) = 5e + 3e¯* centered at…

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Q: 3. Given f(x) = cot(x) sin(x) and g(x) = cos³(-x)(sec² (x)-1) sin² (x) a. Prove that f(x) = g(x).…

A: Given that,  fx=cotxsinx and gx=cos3-xsec2x-1sin2x

Q: Find dy/dx of the following: a. y=sinh-5x b. y=sinh-e* c. y = cosh¹ √√x

A: To find dydx for the given y.

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: Given problem:-

Q: Given cos(8)= - 5 m<8<³ 2 for π<8<- then tan(0) =

A: We can find the answer as below.

Q: What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

A: Graph of the ellipse is given, we have to find its equation.

Q: • Jeze 39. et dt e²t + 3e¹ + 2

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Q: z (hx) = h + k

A: y'+y=(xy)2

Q: Evaluate the iterated integral. 40 (xªy-7xy) dy dx 0-4 40 jjov (xªy-7xy) dy dx = [ 0 - 4 (Type an…

A: The given integral,    ∫04∫-40x4y-7xydy dx

Q: Find an antiderivative F(x) of the function f(x) = 4x² - 6x +5 such that F(1) = 14. F(x)= (Hint:…

A: Solution is given below:

Q: Find ď²y dx² x = 3 sin t in the parametric equation y = 3 cost 0≤t≤ 2π.

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Q: Solve using method of undetermined coefficients: 2y" + 3y - 2y = 14x² - 4x - 11, y(0) = 0, y'(0) =…

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Q: Jy Find the area of the inner loop of the curve r = 9 cos 0 - 4 by using double integral.

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Q: estion 28 Find the next term of the sequence: 243, 81, 27, .... A Moving to another question will…

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Q: 0 1 5. Let A = -1 -1 1 a) Find the decomposition PA=LU for the matrix. b) Solve the system Ax=(1 1…

A: Given problem:-

Q: (D² - 6D+9)y = 0

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Q: π.χ. Evaluate the integral 8x sin y dy dx. 00 The value is. (Type an exact answer, using as needed.)

A: The given integral,    ∫0π∫0x8x siny dy dx

Q: a) There are three vectors u = (2,2,0), v = (-1, -2, 2) and w = (−1, 2, 3) (i) Calculateu+v-W (ii)…

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Q: Ship A leaves port sailing west at a speed of 30 mph. Six hours later, Ship B leaves the same port…

A: Given dxdt=30dydt=35

Q: Given the graph which consists of lines and a semicircle determine ₂ f(x) dx (4,2) 2 3 4 5 -1 -1…

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Q: Question 13 Which of the following satisfies the differential equation d²y dx² A. y = e³r B.y = e-3r…

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Q: dy dx +y = 0 y(0) = 1 Using Power Series, solve for y(x) at x₁ = 0 Using First Order Runge-Kutta…

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Q: Sketch the region enclosed by y = 3x and y = 52. Find the area of the region.

A: Given that y=3x and y=5x2 find bounded area.     Here i attached the solution of this question.

Q: Q) find differential equation of the following equation 1) y' = y-x y+x

A: Solution of the above differential equation is

Q: y = e²x and x - 2y + 5 = 0

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Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

Q: Find the transition points. f(x) = x(11-x)1/3 (Use symbolic notation and fractions where needed.…

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Q: Use half angle formulas to fill in the blanks in the identity below: 1 (sin(8x)) = 1 COS |x)+cos((…

A: topic- trigonometric identities

Q: Help please

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Q: Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = 4√ti…

A: To find the unit tangentvector Tt at the point with the given value of the parameter t.rt=4t i+3t2…

Q: Question 4 A 3 2 1 2 3 4 To find the blue shaded area above, we would calculate: [ f(x) dx = area…

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Q: Let A(z) = f(t)dt, with f(x) shown in the graph below. N -2- At what x values does A(x) have a local…

A: Ax=∫0xftdt, with f(x) shown in the graph.

Q: Vector A) Prove that: Vx (FxG) = (GV)F- (FV)G+ F(VG) - G(VF). 201 1

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