16. Solve the inequality. Write the answer using interval notations. (1 − x²)²³(2 – 3x²) – (2x − x³)(1 − x²)²(−3x) >0 (1-x²)³

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A: The graph of the function fx is The table for the function gx is

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A: we have to find dy/dx

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Q: 342. f(x) = x² In9x

A: We can solve question no 342 in the below steps.

Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 8x − 3 f(2x)  =…

A: We have to slove above questions

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A: Given query is to find function is continuous or not at x = 5.

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: The graph of the function fx is given by The table for the function gx is

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Q: Evaluate the integral A) 16T -3 4 x² + 8x + 17 dx.

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Q: r₁(t) = (14,3, 11) + t (−4, −1, −3) r₂(t) = (0.5, 4, −11) + t (1, 2, −4) Find the point of…

A: Given: Equations of lines:r1(t)=14,3,11+t-4,-1,-3r2(t)=0.5,4,-11+t1,2,-4

Q: ี 2 T 2

A: Graph is given . We have to find the domain and Range .

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Q: 2. How many terms are in the sequence? -20, -15, -10, ... 1115

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Q: Let F = 1xi + 5yj and let n be the outward unit normal vector to the positively oriented circle x² +…

A: To find the flux we have to first compute unit normal vectors by using formulan=Gradient…

Q: does the sequence an converge or diverge? Find the limit if the sequence is convergent…

A: givenan=cos(3pi2 - 6n)

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Q: Consider the planes given by the equations − (x + 2y + 5z) = 1, - x=y+z= 4. (a) Find a vector…

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Q: 3) f(x) = 2x² + 4x Find a) f(3) b) f(x - 1) c) f(a+h)-f(a)

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Q: each) Determine the domain of given functions. Write your answers in interval notation. a.) f(x) =…

A: We have given function  (a)  fx=2x-42x2-x-6 Domain is the values of x for which a function is…

Q: A 100-m race ends in a three-way tie for first place. The graph below shows distance as a function…

A: Please refer to the image below

Q: 4. Ahmed invests $550 at 3.9%/a simple interest. What is the interest earned in Ahmed's investment…

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Q: 25. Sa 2x²-10x +4 (x + 1)(x-3)² dx

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Q: 4. < y:5

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Q: 0.75-carat diamond is $5150. If the weight and the price of the diamond is linearly related, and you…

A: Given query is to find the weight of the dimond can be bought in $8900.

Q: 58)941

A:

Q: ASAP

A: Please refer to the image below

Q: Find the differential equation for the given family . y = C_{1} * e ^ (2x) + C_{2} * e ^ (4x)

A: The family of a curve is given by y = C1e2x+C2e4x                              ..........1 To…

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A: Given that fx=4-x,x&lt;2x+1,x&gt;2Solution :

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A: Given query is to find x and y intercept of the function.

Q: Find the slope of the line through P and Q: P( – 2, 2) and Q( – 4, 5). -

A: Given query is to find the slpe of the line passing through P and Q.

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Q: Kendra bought 188 donuts for $160. Her profit was $40 once she had sold 100 donuts. Which equation…

A: Find profit

Q: Graph the function. (Be sure to indicate any missing points.) ( 5x − 6 -x-5 ● No Solution Help f(x)…

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Q: a) Find the limits of the following functions: 1. sin 2x lim- x-2x²+x lim √x² +12-4 x-2

A: SOLUTION-

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Q: Use integration by parts to evaluate the integral. Round your answer to the nearest tenth. In(z) S²…

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Q: Find the average rate of change of the function from x=1 to x=4 of f(x)=-8/x^2

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Q: e average rate of change of f(x) = 6x² - 2 on the interval [5, a]. (Your answer will be an ion…

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

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Q: Find the set of all solutions of each of the following differential equations.  y" =32.

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Q: - Your answer is partially correct. A force is specified by the vector F = [(-170)i + (120)j +…

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Q: 3. The following definite integral equals: a. √2-2 b. 2-√2 c. 2+ √2 d. None of the above answers /2…

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Q: Procedures and Problem Solving Library of Parent Functions In Exercises 5-8, use the graph of the…

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Q: 1. Find the G.S. and P.S. of y" = 6x, y'(0) = 2, y(0) = 1.

A: