Differentiate the following: a) y = ln(5x) (b) y = In In(³) (c) y = In(x³)

Q: xª−12x³+36x² X-6 x4+x³-42x 2) lim ||

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Prob #5 A Solve for angles A, B, and C in the triangle listed below. 17.8F+ C 35.2f+ 27.3ft B

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Q: a. Find the points at which the following polar curve has a horizontal and vertical tangent line. b.…

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Q: 3a If f(x) is continuous and ſ³ª f(x)dx = 496.8, what is a [" Round your answer to two decimal…

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Q: Find the derivative of the function. dx y=3e4x²-3 II ...

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Q: The graph of y = f(x) is shown below. -7-6-5-4-3- T .F. 5 4 3 2 1 2 3 4 4 H 3 4 5 6 7

A: From the given graphParent function f(x)=y=x2

Q: Given that f(x) = x³h(x) h(-1)=2 h'(-1)=5 Calculate f'(-1). -20 Hint: Use the product rule and the…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (cos 9x)* y' = (cos…

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Q: -4 -3 -2 -1 4 3 2 1 -1 -2 -3 -4 1 2 3 4 20x For the above rational function f( x ) = 3.5r2 +3…

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Q: p(x) = a + ax + a,x² + ... + 10x?

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Q: If 3x² + 2xy + y² = 2, then the value of dy dx (b) 0 -2 at x = 1 is (c) 2 (d) 4 (e) not defined

A: Given that  then we have to find the value of  at x = 1.

Q: A particle moves according to the equation of motion s = t5 - 10t³ + 18t, where s measured in meters…

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Q: d) How long after 1950 will the value of the painting be $6 billion? year(s) (Do not round until the…

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Q: conditions

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Q: th A formula is given below for the n term an of a sequence {a}. Find the values of A₁, A2, A3, and…

A: A formula is given below for the nth term  of a sequence .To find the values of .

Q: The equation represents Select one: O a sphere with center(0, -5, 3) and radius 16. O None of them O…

A: To determine the type of the surface represented by the following equation.Note: Since the student…

Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x -…

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Q: The function f is defined by f(x) = x³ −3+4 cos (3x + 2). Use a calculator to find all values of a…

A: f(x)=x3−3+4cos⁡(3x+2)

Q: Find the area of the region enclosed by one loop of the curve. r = 2 sin(90)

A: r=2sin⁡(9θ)

Q: Find the volume of the region under the surface z = xy² and above the area bounded by x = y² and x +…

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Q: A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the…

A: Given that a model used for the yield Y of an agricultural crop as a function of the nitrogen level…

Q: The function g(x, y) = sin x + sin y has a critical point at (³7, 37). 2 The 2nd partials test…

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Q: For the function x f(x) = x-5 find the derivative of the inverse function f-¹ at the point x = 2.…

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Q: Write the domain of the function f. 6 f(x) = 12x³ + X

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Q: Find the exact length of the curve. x = 7 cos(t) = cos(7t), y = 7 sin(t) sin(7t), - 0 ≤t≤n

A: x=7cos⁡(t)−cos⁡(7t),y=7sin⁡(t)−sin⁡(7t),0≤t≤π

Q: 5. Solve the second-order equation xy" +2y' = 12x² by making the substitution u=y'..

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Q: 0 1 1 3 X g(x) g'(x) 2 33 2 3 25 -2 3 2 0 50 4 -1 0 -3 4 Enter your answer as a whole number (like 6…

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Q: 5- 4+ 3- 2- 1 -1 -2 -3 -4 -5 J/2 Find lim f(x) XIT л 37/2 The graph of the function f(x) = cotx is…

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Q: 6. S x² 1+x² dx

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: An office machine is purchased for $5300. Assume that its salvage value, V, in dollars, depreciates,…

A: given function

Q: Answer the following True or False: p(x) If p(x) and g(x) are polynomials such that p(6) = 0 and…

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Q: 1.Find all critical points, extreme values ​​of the following function. f(x) = x^2 + x with I = [−2,…

A: To find all critical points, extreme values ​​of the following function.

Q: f(x) = 3x5 — 25x³ + 60x on [−2, 3]

A: f(x)=3x5−25x3+60x on [−2,3]

Q: Multiply: (2+5i)(2−13i). Give your answer in complex standard form a+bi.

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Q: MY NOTES Perform the indicated operation and simplify if possible by combining like terms. Write the…

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section 2x² -…

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Q: -6 -5 -4 -3 -2 -1 6 5 4 3 2 1 0 -1 -2 3 A G -6 1 2 3 4 5 6

A: From the given graph

Q: when interest is compounded (a) annually, (b) monthly, (c) daily, and (d) continuously. Then find…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Determine the axis of symmetry of the graph of the following parabola. f(x)=5^x2+190x+19

A: To determine the axis of symmetry of the graph of the following parabola.

Q: Differentiate. d y = log 4 (xº + x) - log4 (x8 + x) = □ dx

A: To differentiate the following function.

Q: Let s(t) = 6t³ + 9t². v(t) = t - Where does the velocity equal zero? [Hint: factor out the GCF.] and…

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Q: Let f(x) = In(x). State if the following statement is true or false (a) The graph of f(x) has a…

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Q: Solve e³t = 2000 for t. t≈ (Round to three decimal places as needed.)

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Q: Set up an integral for the area of the surface obtained by rotating the given curve about the…

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Q: 9. Use logarithmic differentiation to find the derivative of the following functions. a. b. C. y' "I…

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Q: y-values 9 8 7 6 5 4 3- 2 1 If f(x)= = g(x) 41 g(x) h(x) f'(3) -- 2/17 3 2 3 x-values then 4 X…

A: The given function is The formula we use to find the derivative of function f(x) is Quotient rule…

Q: Simplify the expression. (16x 16x²x) (- 8z4 28x²z³ 14y²

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Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

A: The following table shows the daily receipts in millions of dollars of the move "The Hunger Games"…

Q: Calculate the derivative of y with respect to x, if xy + 4xy¹ = x + y. dy da =

A: Consider the equation

Q: Solve the differential equation. (t−8) s' +7(t−8)5s=t+8, t> 8

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