families of curves straight lines with slope and x-intercept equal

Q: __ydy 1+ y²2² || dx x when y(2) = 3

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Q: - 2. f(x) = x³ = 5x + 4, at x = 1

A: slope of the curve fx=x3-5x+4, at x=1

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

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Q: Q3 Q4 The sequence A) increasing The value - ing 1) strictly increasing D) eventually strictly…

A: We need to choose correct option.

Q: 33. f(0) is undefined. lim f(x) = 4 x-0 ƒ(2) = 6 lim f(x) = 3 x-2

A: This is a problem related to graph of the limit function. Please follow the procedure given below.

Q: 4. Find each of the two areas bounded by the curves y = x³ - 4x and y = x² + 2x.

A: Topic = Area

Q: dz If z = f(x, y) = x² + 2xy² and (x(t), y(t)) = (cos 2t, 2 sin t), use the Chain Rule to find…

A: We have to use the chain rule for finding the required derivative

Q: y(x² +C)+2=0; y'= xy²

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Q: A utility company burns coal to generate electricity. The cost, C(p)C(p)  (in dollars), of removing…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is

Q: y" + 20y' + 64y = 60e-4x

A: To find the solution

Q: 5 2arcsec(e) +5 3 2arcsec(e*) √e²x-1

A: Given that a integration and we solve this integration by using general property of integration. We…

Q: Question 13 What is the general solution of the differential equation y" - 2y'+y=0? y=Cu +Cre B…

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Q: 1. y = 7-x² + 4x³, at x = -1 2. f(x) = x³ = 5x + 4, at x = 1 x 2 x²+4' at x = 2 3. y =

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Q: 5. Compute the area bounded by the curve x = 1/y, the line x = 6, 2x - y = 0 and y = 0.

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Q: Use integration by parts to find the following: [(t+ 7)e²²+3 dt = | 2t+3 t=+C

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Q: You are driving your car away from home on a road trip. After 3 ​hours, you are 190 miles away. If…

A: We wil find the required.

Q: 4. For each of the following polynomial equations, determine if x = 1 is a root. (c) 3x4x²+2x-4 = 0…

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Q: The curve y²-x²= -5x is a solution to the differential equation y'= (2x - 5)/2y A) FALSE B) TRUE

A: The answer is given below

Q: List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which…

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Q: find f(x) if f'(x) = 9 / (1 - x2) and f(sqrt 3) = 4

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Q: y=Get+Cocos x + C3 sinx

A: Since in this equation there are three arbitrary constant so differential equations is of order 3.

Q: V The size of a balloon is changing with respect to time, such that the volume is given by V(t),…

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Q: Let g(x) = cos(x), and h (x) = -3x4 - 17x³ - 4x² +92x + 113. If f is a function such that g (x) ≤…

A: This is a problem related to sandwich theorem of the limit. Please follow the procedure given below.

Q: Find the 6th term of the arithmetic sequence 4, 7, 10, ... Answer:

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Q: Which of the following is the complete set of roots of the auxiliary equation for y'"-3y"+3y'-y=0. A…

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Q: B: Find y + 4 lim (x1)-(24) x²y-xy + 4x² - 4x

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Q: The curve y2 - x5= -5x is a solution to the differential equation y' = (2x-5)/2y

A: Integrate by seperation of Variables

Q: Y=12, 8, 16, 7, 8, 9, 20, 4 variance is equal to

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Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

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Q: b/ For the following function the range is y = √4-x

A: The range of a function is the set of it's possible output values ( y - values).

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: -3- q Find the average rate of change of f from x = -1 to x = 2 Give your answer as an integer or…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the point (-1,0) and (2,-2)…

Q: 11.  Find the length (in units) of the curve y =    16 − x2 between x = 0 and x = 2.

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Suppose y = sinh Then 1 sinhz z = sin(y) Oaresinh(y) Using implicit differentiation, dy dz (Enter…

A: NOTE: Refresh your page if you can't see any equations. . the given function is here we can write

Q: Solve the differential equation A) Iny=c B In c-y = x In y -x = c (D) x + Iny=c dy dx =y Continue

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Q: the previous first question is an error. the square root x is supposed to be next to the two not…

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Q: If the 100th term of an arithmetic sequence is 383, and its common difference is 4, then its first…

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Q: 1. Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

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Q: iven the points A = (3, 4, 2), B= (-1, 2, 4), C= (0, 1, 3), and D= (-1, 2, 3), find   the exact…

A: Given that point A=3,4,2 ,B=-1,2,4 ,C=0,1,3 , and D=-1,2,3Solution :equation of line passes through…

Q: 6) g(n)= n² + 2; Find g(3)

A: Solve the given function

Q: 3 Which expressions are equivalent to 16? There may be more tha 4 16-3÷4 16 ÷ 0.75 3.16 4 3 4 16 16…

A: topic :- algebra

Q: 11. f(x) = tan-¹(x²)

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Q: (a, f(a)) or a f (a) is shown above for a ≤ x ≤ b. The derivative of f exists for all x in the…

A: Given : f(b)-f(a)b-a gives slope of graph.

Q: Evaluate the integral sin 3x 2+cos3x dx by making appropriate u- substitution.

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Q: 19. y = tanh(e*)

A: Given; y=tanh(ex).

Q: Solve the differential equation dy dx = x6+4y x

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

Q: b/the limit of √1+x+1 lim X→0 X 02 O 1/2 O 0

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Q: Write down the first five terms of the following recursively defined sequence. a1 = a₁ = a2 a3 || ||…

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Q: Find a formula for the general term an of th assuming the pattern of the first few terms {0, – 5, —…

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Q: 20) f In x x√4 lnx-1 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…