Consider the implicit function. e' = sin (6x) Determine the formula for in terms of x. dy dx

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A: Total amount paid after 5 years or 60 months = 665 x 60 = $ 39900 Remaining amount that she can pay…

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Q: If the average value of the function f(x) on [0, equal to what is Select one: O 24 O 9 O 6 02 3 1…

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Q: Evaluate the integral using the following values. 6 6 6 [°x³ dx = 260, ["x dx = 10, [° dx = 2 + 6 (³…

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Q: Consider the function: f (x) = −6x/ 6x^2 − 54 Step 1. Determine the intervals on which the function…

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Q: Find the absolute extreme values of the function on the given interval. f(x) = 9x³ - 108x on [0, 5]

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Q: Question 1 [ 1 a. [ Use the method of multipliers to find the extreme value(s) of f(x, y) = x² + y2…

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Q: Find the area of the segment cut from the curve y=x (x-3) and the ordinates x=0 and x=5

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Q: Compute the general term an of the series with the partial sum Sn = √n, n > =

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Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Calculate the accumulated amount of end-of-month payments of $9,000 made at 5.89% compounded…

A: The given data is: Monthly payement=$9,000Interest rare r=5.89%=0.0589Time t=5 years  Compounded…

Q: Find the derivative of f(x) = = 30 6/4x+1 Enclose numerators and denominators in parentheses. For…

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Q: 7. Given f(x)=√x² + 3, determine p(x), q(x), and r(x) such that f(x) = p(q(r(x))). ✓✓

A: We need to find p(x),q(x),r(x)

Q: Evaluate the integral, which has irreducible quadratic factors. (Use C for the constant of…

A: We will find the integral.

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Q: Find the Wronskian of two solutions of the differential equation t²y" - t(t− 3)y' + (t− 2)y=0…

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Q: Find the length of the dashed zig-zag path in the following figure. 34 0.75- 0.5+ 0.25+ 00.25 0.5…

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Q: Find any intercepts. y=x√ 16x² y-intercept: x-intercepts: (x, y) = (x, y) = = (x, y) (x, y) ||…

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Q: Evaluate the function at the given values of the independent variable. Simplify the results. f(x) =…

A: The given function, fx=6x-1

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A: Topic:- exponential growth function

Q: Revenue The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research…

A: Given ,  The Better Baby Buggy Co. has just come out with a new model, the Turbo The market research…

Q: Wallis Formula Evaluate the following integrals. sin (3x) cos5 (3x) dx 1. 2. 16 4 [*³* sin³(2x) dx

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

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Q: find the derivative using implicit differentation

A: Apply derivative on both sides

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Q: If f(t) = (t² + 4t + 2) (7t² + 5), find ƒ' (t). Find f'(1).

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Q: Consider the following function: f (x) = x^4 − 8x^2 − 8 Determine f′(x) and f′′(x).  Determine where…

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Q: x=2x+1 y -2 4 3 2 > 2

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Q: Consider the implicit function. e = sin (6x) Determine the formula for in terms of x. dy dx dy dx

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Q: Finding the Volume of a Solid. use the shell method to write and evaluate the definite integral that…

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Q: Solve the following differential equation by using the Laplace transform techniques. d²x +8- dt² dx…

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Q: Let C be the positively oriented square with vertices (0,0), (1,0), (1, 1), (0, 1). Use Green's…

A: Let's solve by using green theorem.

Q: an = (1 + 2,60) ² = n

A: We want to know whether the given sequence is convergent or not

Q: 25. Find equations of all lines having slope −1 that are tangent to the curve y 1/(x − 1). = 1/4…

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Q: Find the following limits (if they don't exist write DNE, ∞o or -∞o as appropriate): Answer: lim h→0…

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Q: A crate is supported by two ropes. One rope makes an angle of 25° 30' with the horizontal and has a…

A: We will find the required.

Q: The equation implicitly defines as a function of t. Find dr dt da dt 11 2 cos (6 x) = -8

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Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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Q: Calculate the derivatives (f(g(x)))' and (g(f(x)))' if f(x) = x² g(x) = 1 8x + 1 (Express numbers in…

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Q: Consider the function y = f(x) graphed below. Give the x-coordinate of a point where: A. the…

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Q: Sketch the lines through the point with the indicated slopes. Make the sketches on the same set of…

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Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: question, show all steps so I can understand the problem Use the following property of the definite…

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Q: 5. If f(x) = x², g(x) = and h(x) = √x² + 2x, determine the derivative of each composite function. a.…

A: Given: f(x)=x2,g(x)=1x′ and h(x)=x2+2x First find the composite functions and then differentiate

Q: Given that logp q = x 2 and logq p = 1 2x−1 , find x

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Q: bn nn ебп =

A: Please see the below picture for detailed solution.

Q: (1 + 2.6) ² an = (1 +

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Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y = x (0, 0) (1, 1) y=x² R

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Q: A tank contains 40 gal brine for which the concentration is initially 3 lb/gal of salt. A brine…

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