Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

Q: 15. Let 2 √x 4 3/2 y' = 2y + 2xy' 13/2 Solve for y' when x = 1 and y = 4

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 and y=4

Q: 13. Find the area of the region bounded by the graphs of y = x, y = -x + 8, and y = 0

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A: For P(x1,y1) and Q(x2,y2)⇒d(P,Q)=(x1-x2)2+(y1-y2)2Midpoint M of segment PQ=x1+x22,y1+y22

Q: dy Write down a differential equation of the form dt 7 solutions all approach y = 6 = as t→∞. = ay +…

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Q: 16. For the given periodic function, state: a) the amplitude b) the period -2 4 3 f(x)

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Q: Determine whether the three points are collinear. (0,-4), (-3,-6), (2,-2) Are the three points…

A: See this solution in below with details

Q: 1. Prove if the given DE is exact or non-exact and find its general solution. (2xy - 3y)dx + (x² –…

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Q: need

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Q: Which of the following differential equations is NOT LIN D E A B y"=8 6y-xy"+y'+4y=4x There is no…

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A: To find out the integration.

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Q: 3 11. Simplify completely: √√√6

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Q: To obtain the General Solution of si What will be the form by separation of variables? cosv A)…

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Q: 1. Find the general solution to the differential equation x' = t cos(t²). Find the particular…

A: The given differential equation x'=t cost2use the integral formulas, ∫dx=x+C∫cos x dx=sin x+C

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Q: Calculate $o (3x + 5y - cos(y)) dx + x sin(y) dy if C encloses a region of area 4.

A: To evaluate the given integral.

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A: (a) The graph has been edited to precisely measure the coordinates at different points.

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A: Greens theorem

Q: Find an expression for a cubic function f if f(5) = 60 and f(−1) = f(0) = f(6) = 0.

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Q: A torus is formed by revolving the region bounded by the circle x2(squared) +y2(squared) = 4…

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Q: for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

A: For the function fx=3x2, to find the average rate of change of the function over the interval [0,2].…

Q: How would you "remove the discontinuity" of f? In other words, how would you define f(4) in order to…

A: Discontinuity of f can be removed by factorisation of the numerator

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

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Q: lim Cos (40)-1 846 Sin (18)

A: NOTE: Refresh your page if you can't see any equations. . use L'Hopital's rule

Q: Consider the following matrix. +88 [148 | Find the determinant of the matrix. Find the values of for…

A: Find the determinant and then equate it to zero.

Q: Let f(x)=x²- 2x + 4. g(x)=1/x², mine the following functions. 31. f(g(x)) 33. g(h(x)) 35. f(h(x))…

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Q: DUE NOW. Please answer all the script part as the same as the process on what's in the sample…

A: The objectives are: Now we have to make a script as the following;

Q: 380. lim (x + 1) ¹/x x → 0

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Q: Let ˜(x)=3e³x (10−6x)+e³* (−6) Find the value of x that makes f(x) = 0 Pick test values and plug in…

A: Topic:- function

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

Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

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Q: A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: Find the area bounded by y = x³ and y = x² + 2x on x € [-1, 1]. Submit your answer in fractional…

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Q: If it is, state the domain and range of the function. (Enter your answers using interval notation.…

A: state the domain and range of the function.

Q: y' = ysecx

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Q: Find point D where D is a point on AB where AD 1 CD. Then compute A = |AB||CD||

A: See the details solution in below

Q: ¹{.(²-1)} = Q4. C-1 (a) cosht - 1 (b) (c) 1 2 (d) 1 - cosh t [cos 2t - 1] [sin 2t - 1]

A: Here, to find the inverse Laplace transform of the function: 1s(s2-1)=1s(s-1)(s+1) Now, using…

Q: 1) GIVEN: FID: X, 9, X 9 3

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

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Q: Book Problem 1 Sketch the graph of the function f(x) = Let g(x) = f(t)dt. (a) Then g(-6) = g(-3) =…

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Q: 4. Let f(x)=1+x³-x. Find an x-value that makes f(x) 0.

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Q: 2. y = ₁³x cos x + c₂e³ 3x Ge 3x sinx

A: Find out the differential equation by elimination of arbitrary constants.

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Q: 1. Find the following limits proving whether they exist or do not exist x² yey lim A) (x,y) →(0,0)…

A: Solve the following