Complete detailed solution. What is the derivative of f(x)= 1 (2²-²-x) (-1+√x²) X x+1

Q: 1 x xy 14. JJ j dz dy dx 0x²0

A: We can find the value of the integral.

Q: Finance. A person wishes to have $27,200 cash for a new car 7 years from now. How much should be…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. x+2 x² + 3x-4 Express…

A: Here we have to find the partial fraction

Q: Determine the area of the shaded region in the following figure. The area of the shaded region is…

A: We have to find area

Q: Let f(x) = 5x²-29x-6 x² +19x 150 (A) lim f(x) X-6 Find the indicated quantities, if they exist. (B)…

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Q: 1 S dx 1/2x² √√x² +4

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Q: Using sigma notation, write the expression as an infinite series. s(²2) + s(3) + cos(7) + Σ( n = 1…

A: Explained below

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: Wendy took a trip from one city to another, a distance of 480 mi. She traveled part of the way by…

A: We have to find how long did Wendy spend on the train.

Q: Find d dx d dx 0.8 0.8 √x -3.4x -3.4x2+6x + 6x

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Q: Let f(x) = x + 1/2 On which interval is f decreasing? ○ (0, 1) ○ (-1,1) ○ (-2,0) ○ (-∞0, 0)

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Q: dy What is if the function y = f(x) is implicitly defined by the equation 5x + 3y² = 4y + 2x² - 5?…

A: For implicit differentiation , both sides of the equation are differentiated simultaneously.

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: To find the value of dy/dt in first case and value of dx/dt in second case.

Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

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Q: Refer to the graph of function f below? What is the lim f(x)? x-2+ -10 -5 10 -5- 0 -5- -10 5 10

A: From the given graph, we have to find the value of limx→2+fx

Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: The radius of a sphere is decreasing at a rate of 14cm/s.The radius is 2cm.

Q: 2. Evaluate J dx (cos³x sin³x)

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Q: If f" (x) = x(x + 1)(x - 2)2, then the graph of f has inflection points when a =? -1 and 2 only -1…

A: Given that f''(x)=xx+1x-22

Q: For a as follows, write the sum n = 1 a1 = and 1 19 an= an an+1 Σa as a geometric series. 'n = -19…

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Q: Using double integration ,calculate the volume of the solid bounded by the surfaces given by x2 + y2…

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Q: the answer is 3+6N but i dont know why, so please go step by step/explain how you get that answer.

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Q: - [5√3x d dx

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Q: Find the total area of the shaded region. Ay 24- 22 20 18 16 14 12 10 8 Q C The total area of the…

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Q: 5. Evaluate — (In x)² x Inx

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Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = 3x² >= [² ² 1 1/3d₁ T -dt t-3 F(x)…

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Q: ind f. f ″(x) = −2 + 24x − 12x2,    f(0) = 2,    f ′(0) = 18

A: We can solve the given equation.

Q: The partial fraction decomposition of the rational function 3 2x + 5x²

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

Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: Volume of the sphere , V=43πr3

Q: Given f(x) below, find f'(x). Provide your answer below: f'(x) = = sin(x) f(x) = to dt

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Q: x² 4+x² 2 dx

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Q: Use polynomial division to express the following rational functions as a quotient plus a rational…

A: We can find the answer as below.

Q: y-values 86 9* 7- 6 5 4- 3- 2 1 g(x) 1 2 3 x-values If f(x) = g(h(x)), then ƒ' (1) = Submit Question…

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Q: How did you found x and dx? I 'm lost in that part

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Q: Let f(x,y)=- lim f(x,y)? (3) (4.4) lim (x,y)→(4,4) This option Which of the following is true about…

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

A: Given the function f(x)=sinx2

Q: Find lim h→0 lim h→0 f(6+h)-f(6) h f(6+h)-f(6) h = if f(x) = -9x-8. (Simplify your answer.) ***

A: We need to find limit.

Q: Suppose f(x) √₂+² = √1+tdt 2x find f'(1).

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Q: 8. Use the graph of the function f to find the following: 13 (-5,0) 4 -3 -2 -1 (-3,-2) 3 2 H (-1,-2)…

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Q: 3. f Arctany dy 4. fx(2x - 1)'dx

A: See this solution in below

Q: Find the equation of the tangent line to the curve x²y² - xy + x - y = 0 at the point (0, 0). Ox+y=1…

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Q: Question An equation of the plane passing through A (1, -1, -1), B (1,0,2), and C (-1,-1,-5) is:…

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Q: The integral 9 [² 1 x - 1 dx

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

Q: A) f(-1)-f(-2) (-1)-(-2) QIn parts (A)-(C), find the indicated quantity for y=f(x)=4-x². = N

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Q: Let f be a continuous function with f'(x) = 3x² Of has no relative maxima. 0x=0 0x=2 0x=1 - 6x. At…

A: f be a continuous function with f'x=3x2-6x

Q: Find the average value of f(x) = 8√√x-73x over the interval [0, 2]. Submit an exact answer using…

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Q: y=In(sin z³) 18. a. 3z cot z³ b. z² cot z³ c. 3z² tan z³ d. 3z² cot z³

A: Here, the given function is: y=ln(sin x3) Note that, ddx(ln x)=1x , ddx(sin x)=cos x and…

Q: Question 26 O 12 0-8 powered by desmos Suppose that F(x) = f(g(x)), where f(2)= 3. g(2) = 5. g' (2)…

A: [26] Given F(x) = f(g(x)) where f(2) = 3, g(2) = 5, g'(2) = 4, f'(2) = -2 and f'(5) = 11 F'(2) = ?

Q: Find dx О А. О в. 0 с. 16 X * - *$*). - X -20%√/x 16 4 X x5 55/4 3 5 16 OD. 3 х

A: Derivative  of [4/x4 -4 5sqrt(x)].

Q: 4. fx(2x - 1)'dx

A: This is a problem related to integration. Please find the general procedure given below. As per the…

Q: 1. Let f(x, y) = y³ + x³ - 2/1y²-3x+30y. (a) Find all the critical points of f. (b) Determine…

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