3. A function f(x) satisfies the inequality 1-

Q: Consider the vector field F (x, y, z) = (z + y)i + (4z + x)j + (4y + x) k. a) Find a function f such…

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Q: Closed book, closed notes, no calculators. You have to show complete work for full credit; make sure…

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Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

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Q: Solve the initial value problem. 1 dy y cos 0 0 de 2 y +1 , y(x) = 1

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Q: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 38,416…

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Q: X f(x) f(x) = Complete the table. (Round your answers to four decimal places.) lim x-0 √x+7-√7 X X…

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Q: 6. The value of a new speed boat depreciates at a rate of 7% per year. If the boat was bought for…

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Q: Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

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Q: Write the interval of continuity for the function below: sin(x)√/25 - x2 x-6 f(x) =

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Q: 28. The function f is continuous on the interval [3, 11] with some of its values given in the table…

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Q: 20. f(x) = sin a for a < 0 cos x for 0≤x≤ ³T tanx for 37 < x < 2π for 27 < x < 5 cot a Let f be the…

A: A piecewise continuous function is continuous on a given interval in its domain if the function…

Q: Find high order DE 6. (D4-5D² - 36)y = 0

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Q: 4. a) If you were given a function in the form y = g(x), explain how you would determine the…

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Q: x+2 x³-4x²-12x 1. For the curve y = , find, a. The value/s of x that make/s the function…

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Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

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Q: A There is no correct answer from among the given choices. differential equation by separation of…

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Q: During an 8-hour shift, the rate of change of productivity (in units per hour) of infant activity…

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Q: 15. Point P(4,-5) is on the terminal arm of an angle of measure in standard position. Determine the…

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Q: 3. Using the following table, find the average rate of change from x = 2 to 11 X f(x) -1 -4 2 4 4 8…

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Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: dy X -2= y² - 3y dx

A: We use variable separable method to solve the given differential equation.

Q: y = x ² √√9-x² = x²(9-x²) ¹/2 WwS =/0²7 xF-P y² = x² [² (9-x²) ²¹/²2 (2x)] + (9-x²) ¹2 (2x)

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

Q: Let F = (2x, 2y, 2x + 2z). Use Stokes' theorem to evaluate the integral of F around the curve…

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Q: (b) Evaluate the integral J x + 3 (4-5x2) 3 dx.

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Q: 5. Let f(x) = 4x²-x+2 √√x Find/ (+)+8+) +g 4 and g(x)=6√x- 1 1 2√x x√x

A: NOTE: Refresh your page if you can't see any equations. . take x=1/4

Q: Refer to the function f shown to the right. Use the graph to estimate the indicated function values…

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Q: 5. Oil flows into a tank according to the rate F(t)=1+1, and at the same time empties out at the…

A: Please see the below picture for detailed solution.

Q: t10 x csc x dx 6 cot 10

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Q: 6 - x - x² if x ≤ 1 if x > 1 2x - 9 Calculate the following limits. Enter "DNE" if the limit does…

A: f(x)=  6-x-x2    if x≤1 2x-9         if  x&gt;1

Q: K- Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is  here we have A=60

Q: 16. f(x)=-3x¹(x+4) a. b. C. d. 0. lim x--1 f(x)= lim 11-1 /(1) lim lim lim 1172 f(x) =

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Q: Find the domain and range of: 1) y = 2) y =√1-x², 3) y = x² - 2

A: We can find the domain and ranges in the below steps.

Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (1) 2 = sin(13). CIEN : (x, sin(…

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

Q: Using the definition of a derivative, find s'(x) given s(x) = -x² - 2x + 3. Do not include s'(x) in…

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Q: Find the DE of a family of circles with center at (1,-2).  Hint: Equation

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Q: Verify if the indicated equation is an explicit or implicit solution of the given DE. y = ln…

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Q: Calculate, to four decimal places, the first ten terms of the sequence. 3n 1 + 4n an =

A: Given, an=3n1+4n

Q: Use the Intermediate Value Theorem to show that the following equation has at least one nonzero…

A: Given That,  Sec(2x)= 3^x

Q: (30) -3≤x-3y≤6

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Prove that: В(х+у) тв (хун) = в сху) let П (х+1) =Х ГСХІ

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Q: Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is…

A: Given problem:- Bioavailability is a term that refers to the fraction of an antibiotic dose taken…

Q: Solve the initial value problem. dy 3 dx - = x˚ (y - 5), y(0) = 9

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Q: 1. fx² sec x³ tan x³ dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find f(x) + g(x), f(x) – g(x), f(x) · g(x), f(x) = 5x - 9 g(x) = 7 - 6x (a) f(x) + g(x) (b) f(x) -…

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Q: 6. Find the antiderivative of e(4lnx) - e(4x 5 4 O e e4x 5 4 +C +C 04-e+ +C 4x³-4e4x + C

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Q: Solve the differential equation dy dx x²(y²+3) + y (x³+1) = 0.

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Q: What is the sumation form of the maclaurin series for 1/x*sin(x)? Hint: First find the first few…

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Q: A differential equation is an equation A that contains a derivative like y'(x) as well as the…

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Q: Prove the identity. sin (x-y) = tanx-tany cosx cosy Note that each Statement must be based on a Rule…

A: To prove the identity.