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Q: compute the derivative

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Q: Calculate without using a calculator. ln(e3) + ln(e4)

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Q: Find an equation of the tangent line at the point specified.

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Q: For y=3x^3+27x^2-9x find the concavity and the x values where the points of inflection occur.

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Q: A pizza baked at 400°F is removed from the oven at 4:00 PM into a room that is a constant 75°F. Afte...

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Q: Use the limit definition to calculate the derivative of the linear function. g(t) = 8 − 3t

A: Plug the given function in the limit definition 

Q: compute the derivative

A: Consider the given function

Q: find an equation of the tangent line at the point indicated. s(t) = 39t , t = 2

A: Consider s(t) = 39t  Find s(2)

Q: calculate the derivative y = sech x coth x

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Q: Find all intercepts. Find all intervals of increasing and decreasing. Find all extrema. Find all int...

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Q: Σ ( Use if Σα, = Land Σ ,-K.then Σ ( a-+ ) =Σ α+Σ,- L+K) 5" 7" %3D n=0

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Q: Find a domain on which f is one-to-one and a formula for the inverse of f restricted to this domain....

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Q: compute f ' (a) using the limit definition and find an equation of the tangent line to the graph of ...

A: Given f(x)=x2-x The limit definition for derivative of a function is given as: Using the above defi...

Q: Use the Chain Rule to find the derivative.

A: Given expression

Q: A vector t has initial point, (5,−2) and terminal point, (−1,−3). Write t in the form t=ai+bj. .

A: Gicen that initial point (5,−2) and terminal point (−1,−3). So the vector is (-1,-3) - (5,-2) = (-1-...

Q: simplify by referring to the appropriate triangle or trigonometric identity. tan(cos−1 x)

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Q: Find the equation of the tangent line to the graph of f (x) = 9x3 - 5x at 13. the point x = 1.

A: Given function is We know that slope of tangent to the curve y=f(x) at point x=a is f'(a) so, slope...

Q: solve for the unknown. ln(x4) − ln(x2) = 2

A: Use this property of log: Then combine like terms

Q: In PreCalculus, I have trouble factoring trinomials such as 4x^2 - 3x -27. The factors include -12 a...

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

A: We are given the function as,                   Now, So, the critical points are 0 and 3.

Q: 25. Elasticity of Demand Question Consider the price-demand equation given by 6,000-x p%3D 1,200 Fin...

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Q: Use Figure 22 to find all angles between 0 and 2π satisfying the given conditions.

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Q: Continue the graph of f to the interval [−4, 4] as an even function.

A: In order to get the graph of the even function from the given graph, reflect the graph of function a...

Q: Use the Quotient Rule to calculate the derivative.

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Q: Compute the derivative. f (x) = sin2 x

A: First of all, consider the formula for the chain rule and the given function f (x). Then assume u an...

Q: In Exercises 51 and 52, find dy/dx at the given point. 51. (x + 2)? – 6(2y+ 3)2 = 3, (1, –1)

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Q: Use the Quotient Rule to calculate the derivative.

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Q: compute the derivative. f '(x), f (x) = log2 x

A: Given the function f (x) = log2 x

Q: Suppose that the functions q and r are defined as follows.                           q(x) = x^2 + 6 ...

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Q: Refer Figure 10 Find the average velocity over each interval.(a) [0, 0.5]             (b) [0.5, 1]  ...

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Q: calculate y " and y "'. y = x5e x

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Q: Hi, can I please have this practice question answered? Thank you!

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Q: Calculate the derivative. f (x) = (x3 + 5)(x3 + x + 1)

A: To find the derivative of the given function.

Q: Volume with respect to time when r = 15 cm

A: Given the radius of a sphere is expanding at a rate of 30cm/min i.e. dr/dt=30 Given volume of sphere...

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Compute the derivative.

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Q: Home Content Grades ontents ) Knewton Coursework ) Unit 4: The Integral 4.4 Propertles of the Defini...

A: Given :

Q: Sand falls from a conveyor belt into a conical pile (V=1/3πr2h)with a radius that is always one-thir...

A: Let r and h (in feet ) be the radius and height of conical pile respectively at any time t. Then, ac...

Q: Scientists have found a relationship between the temperature and the height above a distant planet's...

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Q: 57 171 Given the geometric sequence: 19, Find an explicit formula for an. Preview An Find a6 = Previ...

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Q: Complete the square and find the minimum or maximum value of the quadratic function. y = x2 + 6x + 2

A: The given function is

Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)=−32t+47v(t)=−32t+47, where t...

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Q: Refer to the appropriate triangle or trigonometric identity to compute the given value. cot(csc-1 2)

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Q: 25. Elasticity of Demand Question Suppose that the price p of a product and its demand x are related...

A: Third option is the correct option. Consider given price demand equation and the condition for the e...

Q: Compute the derivative. f (x) = (2x4 − 4x−1) sec x

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Q: Please show step-by-step solutions.

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Q: Find the average value of a function over an interval Question Determine the average value of g(x) =...

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Q: Suppose I coat a circular washer (shown below) which as inner radius 1 cm and outer radius 3 cm with...

A: Write the equation of circles and solve.

Q: Find an equation of the tangent line at the given point. xy + x2y2 = 6, (2, 1)

A: We first find dy/dx at x=2, y=1