Express the function f(x) = g(x)^x) in terms of the natural logarithmic and natural exponential functions (base e). ... f(x) =

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A: Solution: Given data, f is a function f' represents??  

Q: 6. On a certain workday, the rate, in tons per hour, at which unprocessed gravel arrives at a gravel...

A: 6) Given that the rate in tons per hour at which unprocessed gravel arrives at a gravel processing p...

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Q: of the initial value problem gcナー Please fill in a question quickly within a quarter of

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Q: f(x) : x?

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

A: As per our guideline, we are supposed to answer only the first question, get remaining please post a...

Q: 14. What is height of the isosceles triangle with the greatest area that can be inscribed in a circl...

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Q: Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate...

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Q: 1 S cos³ 3x sin' 3x dx

A: The given integral is: I=∫cos33xsin43xdx   ...1   We know that; The Power rule: ∫xndx=xn+1n+1+C

Q: Find the derivative of the inverse trigonometric function * cos' x B. y' =; C. y' = 3x2 A. y'=: V1-x...

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple questio...

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. Vn (a) (-1...

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Q: Sx² – 1, (2x + 1, 3 < x < 10 x< 0 Evaluate lim f(x) if f(x) = x→3

A: Since left and right limit at x =3 not equal then we say that limit does not exist at x=3

Q: x sec(em) tan(enx) dx= sec x2 tan x2 dx A) True B) False

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: Find d'y/dx? given x= t² – 3, y = 2t – 1

A: First I have find the derivative of x and y with respect to t and then calculate the required deriva...

Q: Explain the difference between the average rate of change and the instantaneous rate of change of a ...

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Q: SOLUTION

A: We will perform the integration by parts. 

Q: | csc*(5x)cot*(5x)dx CSC

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Q: The region bounded by the curve x=y2, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)...

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Q: Determine a value for p so that h(x) + px? -3x + 8 has an inflection point at x = 4. %3D Answer How ...

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Q: Exercises: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: If y = csc² x +2, then ſ y dx = cot x + 2x + c %3D True O False

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Q: Let f(x) = 11x²(x – 5) + 13. Find the critical points e that correspond to local minima. (Use symbol...

A: Let's find. 

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, –7) and the vector component of v orth...

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Q: Find the derivative of the function at Po in the direction of u. 3x f(x, y) = tan -1 , P0(-2, 3), u ...

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Q: Evaluate (*. | (a? + 5) 0. OR Evaluate dr using Simpso o 1+x2

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Q: Find the solution of the following Differential Equations 8) y-2y'+2y = 2e" cos(x)

A: The given DE is: y''-2y'+2y=2excos(x) Now, the homogeneous form of the given DE is: y''-2y'+2y=0 The...

Q: from the observer? Remember the sides of a right triangle are related by 20 s saigt foward an obsenv...

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Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x /2...

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

Q: Consider the parallelepiped with adjacent edges u = 4i + 5j + k v = i+j+9k w = i+ 2j + 6k Find the v...

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Q: Question 8 Find the derivative of the function at Po in the direction of f(x, y) = 3x 2 + 4y, P o(8,...

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Q: A concert will be held at the end of April. Past experience indicates when tickets are priced at $70...

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Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled ...

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Q: Find the equation of the tangent plane to x^2/16 +y^2/9 −z^2/36 = 1 at the point (4, 3, 6). Simplify...

A: Use tangent plane formula

Q: 1. 2(2y? + 5xy 2y + 4)dx + x(2x + 2y- 1)dy = 0 2. y(y+ 2x - 2)dx 2(x + y)dy = 0 3. xydx - (x² + 2y²)...

A: As per our guideline we supposed to answer only first question to get remaining kindly post again To...

Q: Find a formula for the nth term of the sequence. - 2, 1, 6, 13, 22, ... Determine the sequence's for...

A: We have to find the sequence's formula in terms of n. 

Q: y^2dx + (x^2 + 3xy + 4y^2)dy = 0; when x = 2 , y = 1

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Q: Find the solution of the initial value problem Please fill in a question quickly within a quarter of...

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Q: cm/min

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Q: What are thr genereal solutions of the following? a) y^2 dx + (x^2 + 3xy + 4y^2)dy=0

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Q: f(x, y) = x2 + Sxy + y2 O f(8,0) = 64, local minimum; f(0, 8) = 64, local minimum f(0,0) = 0, saddle...

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Q: I+x 5. Show that y = has three points of inflection and they all lie on one straigl 1+ x2 line.

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Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: f(a + h)-f(a) a. Use the definition man = lim to find the slope of the line tangent to the graph of ...

A: The given definition of the slope of the tangent line of a graph at the point P is: mtan=limh→0f(a+h...

Q: Evaluate the given integrals. 5. J(1 – cos 0) csc²0 d0

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: L:x = 2 – t, y = 3 + 4t, L2: x = 4t, y = 1 – 16t, z = 4 – 8t z = 4 + 2t

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