Let F(x) = 1 x² 6 x4 (x+9x³). Then f'(x) =

Q: dv g) tan(x- y) = y 1+x² d 1/₂ (tan ex-x) = $x (1+x) dx dx Sec² (x-y). (1-dy) = dx Sec ³ (x-y) - dy…

A: Given query is to find the derivative.

Q: or the function f(x) given in the table, find the average rate of change over each specified…

A: Given query is to find average rate of change.

Q: Find all solutions of each equation on the interval [0, 2T). 4 sin² x-4 sin x + 1 = 0

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Q: Problem 1.5. Use Cramer's rule to solve the following linear systems 5x + 8y = 3 = 5 2y = 25 10 8x +…

A: Given: a) 5x+8y=3, 8x+13y=5 b) 5x-2y=25, 2x+5y=10

Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

A: Given query is to find the integral.

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Q: The population of a city can be modeled by P(t) = 10e0.04t thousand persons, where t is the number…

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Q: Find all the values of Xx Where the teensont line is horizontal 3 X²³-5x²³²-9x+10

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Q: f(x) = sin -¹(√sin (v sin 0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Does the sequence {a} converge or diverge? Find the limit if the sequence is convergent. an = n 7⁰…

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Q: The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the…

A: Given : The average number of vehicles aiting in line to enter a parking rampn can be modeled by…

Q: Let ƒ(x) = 10x + 2x². Compute the difference quotient f(x+h)-f(x) h and simplify it so that it has…

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Q: Do b).

A: Here is the solution:

Q: Given: 4n A₁ = 4n+7 For both of the following answer blanks, decide whether the given sequence or…

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Q: Find the critical point of the function f(x, y) = 5eª - 3xe¹. C= Use the Second Derivative Test to…

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Q: 1 Use the properties of logarithms to write the expression as a sum, difference, or product of…

A: Given query is to expand the logarithmic expression.

Q: - f(x) = 2 I I 36 6

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Q: If a rock falls from a height of 39 meters on Earth, the height H (in meters) after x seconds is…

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Q: Find a matrix X such that AX = B. 001 1 B = 0 1 1 1 1 101 1 A = 1 -2 3 2 17 2 27

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Q: Consider the function f(x) = x³ – 12x on the interval [-7, 5]. Find the absolute extrema for the…

A: Consider the function fx=x3-12x on the interval -7, 5.To find the absolute extrema for the function…

Q: determine the open intervals on which the graph of the function is concave upward or concave…

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Q: given the derivative g'(x)= x^2(9-3x)(x+4) find when the function g(x) has a horizontal tangent

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Q: a) Find y'= d dy dx b) Show that y" = 2(y-1) (x-1)² lise

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Q: Q.#3 For 2x²+xy-y²=2, please find each of the derivatives requested below. Final Answer b) a) dx dy…

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Q: he following figures show the price of gold per ounce, in dollars, for a 10-business-day period.…

A: Price variation of gold as follows  1,030, 1,026, 1,035, 1,025, 1,026, 1,022, 1,016, 1,029, 1,003,…

Q: Consider the function f(x) = 5x² 40x on the interval [0, 7]. Find the absolute extrema for the…

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Q: Let P(h) = where we are using "exp" to denote the exponential function with base e. That is exp(u) =…

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Q: nunggu 8. Find the angle of intersection between the curves y=x+2&y=x+x¹+1. ins SAY

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Q: Evaluate using Integration by Parts, substitution, or both if necessary. (Use symbolic notation and…

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Q: 15. y = x³e*

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Q: Given s(t) = 2t² a) v(t) + 2t, where s(t) is in feet and t is in seconds, find each of the…

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Q: 2. d. Explain the difference between f(a+h)-f(a) h and lim h→0 f(a+ a+h)-f(a) h Use the definition…

A: Please see the below picture for detailed solution.

Q: At what point do the curves r₁(t) = (t, 2 - t, 35 + t²) and r₂(s) = (7-s, s - 5, s²) intersect? (x,…

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Q: Use the indicated substitution to evaluate the integral. 1 = 1 √x² - 169 (Use symbolic notation and…

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Q: Find the absolute minimum and absolute maximum of on the closed triangular region with vertices…

A: This is question of calculus here function is given we have to find the maximum and minimum value of…

Q: Find the volume of the solid generated by revolving the following region around the line x = 2. The…

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Q: Solve the differential equation (x² + y²)dx − 2xydy = 0.

A: Given differential equation ( x2 + y2 )dx - 2xydy = 0

Q: Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = 3x² + x₁ a = -9…

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Q: 1 (x 1 + 4) - 0 (X-3) 2 호 + 1 (x

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Q: 3. Let f(x) = c.(x-4)+2 if 0 ≤x≤4 if x > 4 where c denotes a real constant. (a) Show that lim f(x) =…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Which one of the following is NOT a separable first-order differential equation? A x 2-52²-1 dy ay…

A: Find which equation is not separable.

Q: y dy (13.) x = dx دول = 2xe* - y + 6x² 14. (3x²y + e') dx + (x³ + xe - 2y) dy = 0 3 3 (15.) (1+y)dx…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: It is estimated that t years from now the population of a city will be P(t) = 30(35+41)² - 1700t.…

A: We need to find the population in 5 years

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 24 - 6x²…

A: To find the volume of a solid obtained by rotating the region underneath the graph of  fx=24-6x2…

Q: 妇 31. The plane through the points (0, 1, 1), (1, 0, 1), and (1, 1, 0)

A: Note: Since the student has mentioned to solve question no. 31, so we are solving according to…

Q: The point P(5, 37) lies on the curve y = x² + x + 7. If Q is the point (x, x² + x + 7), find the…

A: To find the slope of the secant line

Q: farmer has 1000 feet of fence and wishes to enclose a rectangular plot of land. The land borders a…

A: Given query is to find the length of the side for maximum area.

Q: For the curve given by ind the following: dy 1. = 3²-3 2. de = 4t 3 3. d 4. d 3 4t Determine the…

A: Given query is to find indicated derivative.

Q: Use the Power Rule to compute the derivative. ƒ'(x) = = 28 d dx -x0.2

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