Find the equation the tangent line and normal line to the graph of f(x) = √x at x = 4. Graph the function.

Q: A) e-2 Β) e2 Σε e=2n =? 71=0 C) CADEMI Ε)

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Q: Consider the following statements: 1. 27x +3,27€ - 11, and 27x + are antiderivatives of 27. II. In…

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Q: 14. Find the general solution of the given differential equation. 9y''+9y'-4y=0 topic: complex…

A: Given 9y''+9y'-4y=0To find general solution of D.E.

Q: = [ (23a)" e1¹0z da, Consider the integral n is a natural number greater than 1, When applying…

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Q: X Given that f'(x) x² +6 find F'(x) if F(x) = f(g(x)). F'(x) = = and g(x) = √3x – 4,

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Q: Find the exact value of each of the remaining trigonometric functions of 0. cos 0 = - 4 5 0 in…

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Q: Find the intervals where the function f(x) = 2cosx + 1/ sin2x, 0≤x≤ 2π is concave up.

A: Let's solve.

Q: Consider the function f(x) = (3x² − 4)(x² + 6). (a) Compute the derivative of f(x) by multiplying…

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Q: 4x Compute the values of dy and Ay for the function y = e + 2x given x = 0 and Ax = dx = 0.05. Round…

A: Follow the procedure given below.

Q: Solve the differential Equations a) y' = x/(y+x^2 y) , y=(0) = -2 b) 3x^2 y dx - (x^3+y^3)dy=0, y(1)…

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Q: Which of the following gives the area of the region bounded below by y = sin(x), above by y =…

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Q: 3. log (x²+x)-log.(x-1)-2 А. 2 Oi J. оо о で В. 16 C..X D. - 16 -

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

Q: Evaluate /1-(y-1)² by first changing it to polar coordinates. 219 dx dy

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Q: et J ((et + 4)²-9)³/2 9)³3/2 dt.

A: See the details solution in below

Q: Which of the following describes the graph of h(x) = -2(x+3)+4? 4 h(x) 2 -6 -5 4 -3 -2 2 3 4 5 10 6…

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Q: a. Show that f has a removable discontinuity at x = 3. f(x) = x²7x+12 x + 2 x = 3

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Q: We know that F is an antiderivative of f, so to: O a) lim (F (b) - F(a)) a 0 Ob) lim (F (b)-F (a))…

A: Here given that, F is an antidervative of f, so we have to find the value of ∫0bf(x)dx=?

Q: = A) Prove that eie = ei(0+2x),where k = 0,±1, +2,....,

A: In order to prove, consider right hand side and simplify appropriately.

Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y = sin tu(t - 2π), y(0) =…

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Q: se the formula FV = PMT(1+i)-1 i

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Q: Find an Integrating Factor, then solve the Non-Exact differential equation. (Non-anonymous question)…

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Q: X | J = -dx x+1 Consider the following propositions according to the integral shown: 1- When…

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Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the…

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Q: Figure #2 a: I in b: 2.5in C:2.5in Figure #3

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Q: /5 too dr Vx-1

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Q: Solve the given differential equations: dy x-3 1. dx 2+y²

A: Differential equations

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Q: The Great Molasses Flood At 1:00PM on January 15,1919, an unusually warm day, a 90-ft high, 90-ft…

A: We have to solve for force exerted by the molasses.

Q: Find the derivative using logarithmic differentiation √x+1 y= (x+2) √x +3

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Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

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Q: When applying trigonometric substitution in the integral: x5 J S -dx √4x² J is equivalent to: O a) […

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Q: Find the derivative (df/dx) 1- f(x) = cscx - 4√x + 7y-² 2-f(x)=x² cotx-x-2 3-f(x) = (secx + tanx)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: It is your job to design a Ferris Wheel that meets the following parameters. • The bottom of the…

A: We need to find periodic function.

Q: 3. Find the integrating factor e∫Pdx then find the general solution. 2(y - 4x2)dx + xdy = 0

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Q: (x + 2) sin ydx + x cos ydy = 0

A: Solve by variable separable

Q: B5. Find the integrating factor by inspection then solve.  y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

Q: 5) (6: -1). Find f'(x) if f(x) = (4x² + 5) ( 6x - f'(x) =

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Q: A large tank is filled to capacity with 400 gallons of pure water. Brine containing 2 pounds of salt…

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

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Q: Sketch the function and Ensure you are finding everything you can about the function (ie.…

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Q: Q6) Determine if the following integrals converge or diverge. If the integral converges determine…

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Q: (x-2) dx = y + 2(x - 2)² dx

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Use synthetic division to find the quotient and the remainder. (x5 + x³ -x)+(x-2) Q(x) = R(x) =

A: Here we have to use synthethic devision.

Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

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Q: Find the exact length of the curve. = 3/²/₁ y 1 4x 1 ≤x≤2

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Q: 6. 1 2 0 *(:) * (****)- 34 G 9 11 B. None of them A. C -11 D. 18 201

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Q: d. The plane through P,(2,4,5) perpendicular to the line x=5+t y=1+3t .

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Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

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Q: A management company is going to build a new apartment complex. They know that if the complex…

A: To find the number of apartments for which the cost is minimum and also find the minimum cost.