58. (ƒ ○ g)(x) = x¹ + 6x² + 20

Q: Eliminate the constant: y=c₁₂e³+₂x³ Oy"-6y +9y=0 Oy"-6y¹+9y=x Oy"-4y+3y=0 Oy" + 6y'+9y=0

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Q: Determine the g" ty T solution 2 the of given sin falt; y/o) = 10 y 10) = 0 77

A: The given differential equation is; y''+y=sqrt(2) Sin(sqrt(2)t), y(0)=10, y'(0)=0.

Q: Evaluate the integral when x > 0 Answer: [n(x² + + 15x +36) dx.

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

A: To find the solution

Q: Q5 -(-) = A) fallaudng series is converges B)3 G 8 D) 1

A: We have to evaluate: ∑k=1∞1k+2-1k+3

Q: 11. If f(x) = cosh-1(5x), then f'(x) = A) 5 25x²+1 B) 5 25x²+1 C) 1 √25x²+1 D) 5 √√25x²-1 E)…

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Q: Two straight line are y = x -1 and y = -x + 1. Find the point of intersection: i) using Cramer's…

A: We can solve this as follows:

Q: b. fr st κυω x * y των α 0 0 Ο 0 Ο Ο b 0 Ο 0 c

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Q: Find the unit tangent vector at the indicated point of the vector function 11t 11t 11t costi + e¹¹t…

A: Given rt=e11tcost i^+e11tsint j^+e11t k^

Q: 41-42 Show that is continuous on (-∞∞). x¹ ifx1 41. f(x) - In x

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Q: 10. 2 S² (y - 1X(2y + 1) dy

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Q: 1. A company's sales (in dollars) appear to be increasing linearly. In In 2015, the company's sales…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Q9 B) absolute can be tested by: (A) geometric series test (B) Ratio Test (C)p-series (D) Root Test…

A: convergence of the series ∑k=1∞5k!2k is tested by which method.

Q: 1925 Γ ΑΙΞ OTH Q27) και D) diverge Use the Maclaurin series for e* to find the Maclaurin series for…

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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: 3 0 -1 0 00 0 0 2 2 -4 1 25 11

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Q: 2x 2-2 2x - 4

A: Given  2x*2-22x-4

Q: BIU x² 5 4 X₂ 3 32 1 O 1 x 2 3 3.5 4 f(x) 1.653 2.02 2.533 22 E 3 ||| 4 5 Graph of f E P 7 6 4.5…

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Q: Evaluate the integrals -1 (5) Jsin sin xdx

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Q: Evaluate the integrals (3) xlnxdx

A: We need to evaluate the following integral ∫xlnxdx

Q: Find the center and radius of the circle. x² + y² = 2 center (x, y) = radius Sketch the graph of the…

A: Topic- Equation of a circle Equation of a circle with center (a,b) and radius r(x-a)2+(y-b)2=r2

Q: Sesin x cos x - acos 2x sin 2x)dx

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Q: 1 decide whether the intermediate value theorem applies to the given function on the indicated…

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Q: (a) The vector in 2-space of length 7 pointing up at an angle of 2π/3 measured from the positive…

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Q: Find the volume of the solid bounded by the paraboloid z = 4-², the cylinder r = 1 and the polar…

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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: Question 8. Use the factor and remainder theorem to find the roots of this equation, f(x) = x³…

A: Given f(x)=x3+3x2-x-3

Q: WITH AN EXPLANATION PLEASE. Determine the total differential dH of the function: H(x,y,z) = x^y+z

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Q: (c) lim 818 75-8 2x³ +3

A: Topic = Limits

Q: Find the difference quotient of f(x)=3x^2+5x-2

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Q: 7-10 Sketch the graph of a function f that is defined on R and continuous except for the stated…

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Q: Find the LCD

A: To find LCD

Q: a/the derivative of the following function is y = x² - sin x

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

Q: 1) h(n) = 3n; Find h(6)

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Q: 5. 6. 4-3/x lim X→+00 2+5/x lim X--∞ 7. lim X-+00 2/x-1/x² +5/x³ 4-1/x³ (3x/√√x²)+(4/√√x²)…

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Q: Direction. Write the letter of the correct answer on a separate answer sheet of paper. 1. The…

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Q: K Evaluate each expression using the following functions. a. f(g(0)) b.g(f(7)) c. g(g(-3)) a.…

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Q: Please, put all working in an image format so that it would be easier for me to view everything.…

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Q: A ball is thrown at an angle of 45 degrees to the ground, and lands 55 meters away. The initial…

A: Given: θ=45°x=55 my=0g=9.8 m/sec2

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: change in x Ax Note that the given chart provides data points in the form of (t, C(t)). Year t (year…

A: From the given information and the table of values (t, C(t)), where t is time in years where 2000…

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

A: Topic = Area

Q: eliminating arbitrary constant y = Ae^x + Bxe^x

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Q: 7. Find the area under the first arch of the curve y = x sinx.

A: I have stated the used formulas in the solution

Q: multiply (2×+8y)^2

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Q: 4. У y = 5. 6. y = x(x+1) 2x-1 f(x) = = at x = 0.6 1-3x+x² 13 2 at x = 0.77 1 (1+√1-x)²¹ at x = J x2…

A: We can find the slope of the given curve as below.

Q: In Problems 7-10, xc₁ cost + co sin t is a two-parameter family of solutions of the second-order DE…

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Q: 5 4- 3 2- 1 2 3 4 5 6

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Q: 3. (a) From the given graph of f, state the numbers at which f is discontinuous and explain why. (b)…

A: (a).   In this part using the given graph, we have to find out at which points the function on the…

Q: Please ans 2

A: Topic:- function