If f(x) = x* + 9, g(x) = x – 1, h(æ) = /¤, then fogo h(x)=

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A: Consider the given differential equation: Here the objective is to find the solution of a given dif...

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Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6, Find (f/g)(x) and its domain.

A: Let f(x) = x2 - x - 4  and g(x) = 2 x - 6 Formula used: (f/g)(x) = f(x) / g(x)

Q: A question based of speed in distance. I have been trying it for a while now.

A: Given information: The distance from City A to City B is 2000 mi. Let us consider the speed of jet f...

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A: A rectangular building lot is three times as long as it is wide. Let w be the width of the rectangul...

Q: k(x,y)=x2-3xy+y2 I am wondering how to find the critical point to this problem. I have the first der...

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Q: Factor and simplify algebraic expression. (4x - 1)1/2 - 1/3(4x - 1)3/2

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Q: Determine whether the graph of y = X has any horizontal tangent lines.

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Q: Find the value of X, If 4e + 6 qu

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Q: Find the distance between (0, -3) and (4, 1) pair of points. If necessary, express answers in simpli...

A: Given: The distance between (0, -3) and (4, 1) pair of points. The simplified radical form is determ...

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Q: Use synthetic division and the Remainder Theorem to find the function value f(x) = 2x3 - 11x2 + 7x -...

A: Now by using synthetic division, we get Therefore,

Q: Perform the indicated operations and write the result in standard form, (-6 - √-12) /48

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Q: 4. Find the volume of the solid formed by rotating the region under the graph of f(x) = 1 on [0, 3] ...

A: Volume of a solid generated by rotating the graph of a function can be determined using the method o...

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: Consider the quadratic function f(x) = ax2 + bx + c, a ≠ 0. If a > 0, then f has aminimum that oc...

A: f(x) = ax2 + bx + c f'(x)=2ax+b f"(x)=2a   To find the critical value we solve f'(x)=0    

Q: Write each number in decimal notation without the use of exponents. -7.16 x 106

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Q: Second derivatives For the following sets of variables, find all the relevant second derivatives. In...

A: Given: The given function is f(x, y, z) = xy + xz - yz , where x = s2 - 2s,  y = 2/s2 and z = 3s2 - ...

Q: Consider the following equations f(y) = y/(sqrt(9-y^2)) g(y) = 0 y = 2 a) Sketch the region bounded ...

A: consider the given functions and plot the graph to find the region enclosed between the curves. The...

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Q: Find the first partial derivatives of the function. w = In(x + 3y + 6z) %3D

A: Given, The function, W = ln(x + 3y + 6z)

Q: Find the area of the region. Common interior of r = a(1 + cos θ) and r = a sin θ

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Q: If you are given a function’s graph, how do you determine if the function is even, odd, or neither?

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Q: 16-19. Working with vector-valued functions For each vector-valued function r, carry out the followi...

A: For part (a)

Q: 44. y" +y = secr· csc x

A: Consider the equation, Let the homogeneous equation is The standard form of this equation is The ...

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (4...

A: Given position function We need to determine velocity, acceleration, and speed of the particle.

Q: 16. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4. Find the val...

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Q: Derivative practice Find the indicated derivative for the following functions. ∂w/∂x, where w = cos ...

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Q: 1+ sec(t) Simplify to a single trig function with no fractions. 1+ cos(t)

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Q: find the volume of the solid generated by revolvingeach region about the y-axis. The region enclosed...

A: The rotation of the region around the y axis will result in solid whose volume can be calculated by ...

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Q: Find the Limit

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Q: A text message plan costs $4 per month plus $0.15 per text. The monthly cost for x text messages can...

A: Given: A text message plan costs $4 per month plus $0.15 per text.

Q: If f(x, y) = 49 - 7x2 - y2 , find fx(-7, -8) and fy(-7, -8) and interpret these numbers as slopes. f...

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Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = ti...

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Q: Evaluate the integral. | (sec2(t) i + t(t2 + 1)³ j + t6 In(t) k) dt

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Q: Identify a convergence test for each of the following series. If necessary, explain how to simplify ...

A: We need to apply the root test here since there is a power k. By root test If L < 1, series conv...

Q: Integration review Evaluate the following integrals.

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Q: please see attached photo

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Q: Find the vector v with the given magnitude and the same direction as u.Magnitude v = 3 Directionu ...

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: Partial derivatives with more than two variables Find the first partial derivatives of the following...

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Q: 1 Solving Nonlinear Systems Find all solutions of the system of equations. Sy +x = 4x 19. Sx – y² = ...

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Q: Begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to gra...

A: That is,