Calculus Question

Q: "ysis DISCUSSION Given: f(x) and g(x) are inverse functions. We have a partial formula for g(x): g(x...

A: Explanation of the answer is as follows

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and ...

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Q: all relative extrema of the function. (If an answer does not f(x) = x* - 4x3 (x, y) = ( cive maximum...

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Q: Convert the point from rectangular coordinates to cylindrical coordinates. (6v2, -6V2, 4) (r, 0, z) ...

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Q: Find y(t) for the following differential equation using the Laplace transform dy dy +7- + 10y = 6u(t...

A: The given differential equation is: d2ydx2+7dydx+10y=6u(t) ;          y(0)=0,    y'(0)=0

Q: 5. sketch a possible graph of a quadratic function which has two real roots, a graph that opens upwa...

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Q: Problems a-d. For a given function of y(x) = c, sin x + c2 cos x, solve arbitrary constants that wil...

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Q: 44. Suppose that f(4) = 2, g(4) = 5, f'(4) = 6, and g'(4) = -3 Find h'(4) (a) h(x) = 3f(x) + 8g(x) (...

A: Given: f4=2, g4=5, f'4=6, g'4=-3 (a) h(x)=3f(x)+8g(x) Differentiating both side, h'(x)=3f'(x)+8g'(x)...

Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an an...

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Q: (a) Find a nonzero vector orthogonal to the plane through the points P(0,- 2, 0), Q(4, 1, – 2), and ...

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Q: For the following trajectory, find the speed associated with the trajectory and then find the length...

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Q: Numerically estimate the limit using a numerical estimation table. lim (10 + 5 In(t)); start t = 30,...

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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...

A: Recall: Angle between two vector u→ and v→ is cos θ=u→.v→u→v→.

Q: Tood restaurant deteri nes the cost and revenue models for its namburgers. C = 0.5x + 7700, 0 < x s ...

A: Topic - application Of derivatives

Q: 2x3 - 32x < x2 - 16

A: 2x3-32x &lt; x2-16 2x(x2-16) &lt; (x2-16) 2x &lt; 1  

Q: Exercise 2.3. Prove the vector equation (r-a)· (r-b) = 0 represents a sphere and ive it's center and...

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Q: Find the average rate of change of f(x)=5x^2-3 on the interval [2,t]. Answer with an expression invo...

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Q: Consider the following planes. 5x + 6y - z = 66 x - 12y + 2z = 0 (a) Find the angle between the two ...

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Q: Determine whether the given function is linear. If the function is linear, express the function in t...

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

A: The given graph is:   To find the value of x where f(x) has a horizontal tangent.

Q: Find the derivative of fuction Γ(z)=pinz+z^2   Γ'(z)=?

A: Here we have to find the derivative of τ(z)=πnz+z2

Q: Suppose that n = f(t) measures the number of bacteria in a controlled lab experiment t hours after t...

A: According to question,  n= f(t) is the number of bacteria t hours after the experiment begins.  f'(t...

Q: Supply a valid technology formula for the given function. 20.95x 1 + 20.92x

A: We can use the concept of technology formula in order to solve the given problem.

Q: Find an equation in spherical coordinates for the equation given in rectangular coordinates. x2 + y2...

A: The equation in rectangular coordinate is given by x2+y2+z2-3z = 0                                  ...

Q: Write the equation of the ellipse that has its center at the origin with focus at (0,4) and vertex a...

A: The ellipse has its center at the origin with focus at (0,4) and vertex at (0,7)

Q: Consider the polynomial P (x)=kx' + 3x + 4x + 2. 3. 2. %3D Find the value of k such that the remaind...

A: The solution of the problem is given in the next step.

Q: polynomial function is given. P(x) = x(x2 - 4) (a) Describe the end behavior of the polynomial funct...

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Q: 4. Find the length of the arc of the curve 8y = x + 2x-2 from the point where x = 1 to the point %3D...

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a vel...

A: We have to find the average velocity.