Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) with the given value of x. xy - 3x - 9 = 0; x- 3 Find the equation(s) of the tangent line(s) to the graph of the given equation at x = 3. (Type an equation. Use a comma to separate answers as needed.)

Q: Q1: Find the solution of the following Differential Equations d²y 1. + y = 6e* + 6 cos(x) dx2 d?y 2....

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Q: っ (6xt- 2x+4シュ)

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Q: 5. f(x) = [(x + 5)5 – 1]4

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Q: Find f'(x). f(x) = (3x° + 2) * f'(x) = %3D

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Q: Given the function Y(s) = Use the Laplace Transform table to convert this function into f(t). f(t) Y...

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Q: Let f(x, y) = x² + xsin(y). %3D

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Q: 15) o veclovs ú = Givetw and Tñ=211 deternine the projection d on 2.

A: This question can be solved using the projection formula.

Q: Showthat dz du

A: I am attaching image so that you understand each and every step.

Q: Given vector u = (6, –1) and v = (2, –2) , determine the value of u – 2v in component form.

A: Given query is to find the indicated vector.

Q: E2-3

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Q: Solve for the derivative of the function using chain rule. 11. f(x)= ln(sin(8x))

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Q: бх + 7 (x+2)°

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Q: Q3: Solve the following first order differential equations Use any method: 1. e + 2x dx + e x dy = 0...

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Q: (x – 3)2 (y – 2)? = 1 - Given the ellipse 16 36 Find the center point: List the two major vertices (...

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and make...

A: Select a normal vector and a point then write the equation of the plane. 

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

A: We have to solve above question 

Q: Solve the following: a) [4/(x+ 1)] – [2 / (2x – 1) b) (1/y)+(1/2y)+ (2/3y) c) (2a²b³/3z²)÷ (ab²/2z) ...

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Q: 3) f(x) =9x/チxー3 %3D

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Q: Determine the open intervals on which the graph of the function is concave upward or concave downwar...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Compute for the derivative of the function below for x = 1, b = 2, and c = 3. f(x) = 72 - 36 3 Answe...

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Q: 4. An object moves along a horizontal line in a way that its position is described by the function s...

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Q: -2 +5

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Q: Q3: Solve the following first order differential equations Use any method: 3. y cos(x)dx + 3sin(x)dy...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Given a vector u that makes an angle θ with the positive direction of the x-axis .Then , u = u cosθ ...

Q: OF(x)= - 2x3+ 84x2-72x on 7- -6x²+48 x-72=0

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (3, 0) %D Vg(3, 0) = %3D

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Q: 4. f(t) = V3 – 2t , find f""(t) %3D

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Q: Va + 4 What is the domain of the following function: f(x) = %3D x- 7 0[-4, 0) O (7, 00) 0[-4, 7) U (...

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Q: Consider the function f(x) on the interval 4, 12. Find the average or mean slope of the function on ...

A: Topic:- function   

Q: Sketch a graph of the function. x – 2 if a 1 Given the piecewise definition f(x) Draw the graph of ...

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Q: Given the function Y(s) - +9

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Q: 4) fG) = (2x+ 1)9 %3D

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Q: 25. Find the volume of the solid that is enclosed by the cone z = Vx² + y? and the sphere 22 + y? + ...

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

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Q: А(-1, 0, -2), в(-1, 5, 2), C(-3, -1, 1) |AB| = JAC| = |BC| = O right triangle O isosceles triangle O...

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Q: Find f. f"(x) = 48x2 + 2x + 10, f(1) = 1, f'(1) = -5 f(x)

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Q: A stone is dropped into a still pond. Concentric circular ripples spread out, and the radius of the ...

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Q: Given vector u (2, 5) and v (1, –3), determine the value of u component form.

A: Given query is to find the indicated vector.

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: Rion to 2%3D8

A: Solution :Derivative with implicite diffrantiation Given  : x2y+y2=8

Q: Calculate the integral, assuming that L' f(x) dx = –2, f f(x) dx = 6, f* f(x) dx = 8. %3D (Use symbo...

A: Answer is given below.

Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+2k w = i+ 9j + 2k Find the v...

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Q: Let a = ci + jand b = 8i + 6j. Find c so that the angle between a and b is. Round your answers to fo...

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Q: iven the points A (-7, -2), B (5, -2), and C (0, 8), determine the area of the shape ABC. The area o...

A: Given problem:- Given the points A (-7, -2), B (5,-2), and C (0, 8), determine the area of the shape...

Q: 1. Evaluate the integral: , xe*+y* dV where B is the portion of the unit ball x? + y? + z? <1 that l...

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral. ...

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Q: Find the indefinite integral. (Remember the constant of integration.) (0.9t2 + 0.08t + 9) dt

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Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

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Q: Let C be the curve y = 5x for 0 <x < 2.2. %3D 50 45 40 35 30 25 20 15 10 5- 0.5 1 1.5 Find the surfa...

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