Let y(t) be the solution to Use Euler's Method with time step ntn 00 10.2 20.4 30.6 40.8 51.0 Yn 2 f(ty) h 0.2 0.2 0.2 0.2 0.2 satisfying y(0) = 2. = 0.2 to approximate y(0.2), y(0.4)..... y(1.0). Ay

Q: dx + 7) Evaluate Sexy² vertices (0, 0), (2, 2) and (2,0) 2x²ydy where C is the triangle with

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Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

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A: We need to determine slope.

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Q: 7. Which of the following is the Laplace transform of S In (²-¹) A. E. 1 s(s+1) B. In None of the…

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Q: Find a Cartesian equation for the curve and identify it. cos(20) = 1 O limaçon Ohyperbola O circle O…

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Q: 12) y = 2-X; dy 3x+1 A) -7 (3x+1) dy = ? ² B) 6X-5 (3XH) 2 c) (3x+1) D) = ¹ 3+2X

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

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Q: The total cost of producing x magazines is given by the function C(x)=600+17x−0.1x2+0.5x3. Find the…

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Q: 14. √9-x² x2 S dx

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Q: In the diagram below, find b to the nearest tenth. A 4.5 4.2 4.4 4.1 b =? 60° a = 5 50° B

A: We can find the value of b in the below steps, using sin law.

Q: X √4- 4+3x² -dx

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Q: Find the limit (if it exists). lim f(x), where f(x)= x+1- [x³ +2₁ x < 1 x+2, x ≥ 1

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Q: 8. The following table shows the number of Facebook members f(t) in millions over time t, where t =…

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Q: 4) Evaluate 2 √x√x² +1 dx

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Q: dy y=-3 tan(-x-4) 17.Determine the derivative dx for

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.02 cm/min.…

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Q: Find the derivative of the function. y' = an−¹(x - √√₁+x²) 2 1 y = 5 tan

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Q: 4. Determine a. b. s'(t) s' (t) = 4t+ s'(t) = 4t+ for s(t) = 3t³+2+². Show your work. C. IN || d.…

A: According to question,Given Function,st = 3t13 + 2t2

Q: Given the homogeneous differential equation, (4D³-3D+1)y=0. The roots of the auxiliary are Om = -1,2…

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Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + Determine the values of…

A: Given,            fx=ax3+bx2+cx+d has a local maximum at the point 0,0 and a local minimum…

Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

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Q: O A. No, since we have only shown that Sk+ 1 satisfies the statement. OB. No, since we must show…

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Q: Differentiate the function. 1 g'(x) ॥ g(x) 1 2x 2 = = VX + X 1 5.( ) *

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Q: Find the sum of the first 30 terms of the sequence. 3, 12, 21, 30, ... S30

A: given  3,12,21,30,.....the difference between numbers is 9we know that sum of nth term of a.p. is…

Q: Consider the following functions. f(x) = x², g(x)=√x-7 Find (fog)(x).

A: Given,            fx=x2 , gx=x-7

Q: Find f(-1) + f(4), given the function: 14 11 04 13 x² + 1, if x 1

A: Topic = Functions

Q: Find a power series representation for the function. (Center your power series representation at x =…

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Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index…

A: we know that  numretor and denomintor are the sum of consecutive numbers given…

Q: enclosed

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Q: 11 . (870), they y equals; c) 3 mx 7) + y = x² lux, (X>0), they q) 3+hX D) 3+3nX B) 3+2nX E) 2+X+X

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Q: If sin e = V2 and cos e = 4 what is tan 0? 430 O_√7 - 3 4 حرا من 3 O vi 3 - 3 4

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Q: Sketch the region R and compute ff 2xdxdy, where R is the region bounded by x = y² and (x-1)² + y² =…

A: To find:- ∬R2xdxdy Where R is the region bounded by x=y2, x-12+y2=1

Q: Let f(x) = sin(z))". Find (1). (1).

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Q: Find solutions to the equation 5 Tan²x + Tanx = 2 on interval [=17, 27). Round Solutions to 4…

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Q: Which of the graphs below could be the graph of a power function with an even power? (a) ☐ (b) ☐ (c)…

A: Even power function With even-powered power functions, as the input increases or decreases without…

Q: 3) lim X^ X-O' B) i A) O де D) ∞ a(3) = 3₂ E) nove eriste

A: Given query is to find indicated limit.

Q: 4. Determine the derivative dx of a. dy 4(34*) In 4 dx 4(3¹) In 3 b. dy y = 34* dy dx . Show your…

A: Explanation of the answer is as follows

Q: Differentiate. g'(0) = g(0) = eº (tan(0) — 0)

A: dexdx=ex  d(tanx)dx=sec2xd dx(a.b)=adbdx+bdadxgiven  g(θ)=eθ(tanθ-θ)

Q: 5) Given f(2) = 3, f'(2) = | of H(x) = f'(x), thun H'(3) squale, 새ㅎ B) ㅎ 엊 미ㅊ E) |

A: Given query is to find Indicated derivative.

Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: 3. Let's study the ODE y" -y=t, y(0) = 0, y'(0) = 0. Find the transfer function (so, the form in the…

A: Given that,         y"-y = t ,  y(0) = 0,  y'(0) = 0 taking the Laplace transformation, we get…

Q: 18 Suppose c is directly proportional to the square of d. If c when d = 3, find the constant of…

A: given that , c is directly proportional to the square of d ⇒ c α d2⇒c = k d2 ................(1)…

Q: dy 15. Determine the derivative dx for y = 3 cos(8x+6) Show your work.

A: The function is given by y = 3cos8x+6 To evaluate: the expression of dydx.

Q: 2k, {}) 4k

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Q: es for the point (4, IN

A: given (r,θ)=(4,2π3)formula for other coordinates is  (r,θ+2nπ) or  (-r,θ+(2n+1)π)

Q: What type of roots does 3x² - Imaginary Real, Rational, and Unequal Real, Rational, and Equal Real,…

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Q: Find the quadratic function f(x) = ax² +bx+c that goes through (3,0) and has a local maximum at…

A: Given that a quadretic function f(x)=ax2+bx+c that goes thorugh (3,0) and has a local maximum at…

Q: Find the area enclosed by the curve x = x = t² - 2t, y = √t and the y-axis.

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