Solve the following equation using the method of undetermined coefficients. d^2y/dt^2 + dy/dt − 2y = 5e^(−2t)

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Q: D is the region enclosed by the parabolas = 2 -2 2 = y² - 1 and 2 = x = y² + 1.

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

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Q: Q Use horizontal strips to find the area, that is, integrate with respect to y. = First find the y…

A: Given functions  y = 3.75x x = 8.5 - y2

Q: Find the indicated partial derivative. V = In(r4 + s5 + tº); Ꭷ3v ərəsət Ꭷ3v ərasət

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Q: classify and sketch the surface given by x2+2y2+z2-4x+4y-2z+3=0 (indicate the vertex coordinate)

A: Here we have given a surface equation as below:  x2+2y2+z2-4x+4y-2z+3=0 The surface given by the…

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A: g(x)= 1/(x+5) We have to find g(x) is continuous or not in (-3,3)

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Q: (i) [² sin(x) sin (cos(x)) dx 0

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Q: The following equation shows how a population grows every year by 5%. P(n) = 2000(1.05)" Where P is…

A: P(n)=2000(1.05)n n=10 years

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Q: 1. Determine the derivative of the following exponential functions 2x² a. f(x)= e b. f(x)=…

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Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: 58) Given: f(x) = ax³ + bx² + cx+d, f(1) = 5, ƒ"(-1)=-2, f"(x)=12 When x=0 the slope of the tangent…

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Q: 3. Which of the following statements are TRUE about how y=-4 arcsin 3 I. Vertical stretch of 4 II.…

A: Given a transformed trigonometric function, we need to write down the transformations.

Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

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Q: 2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the…

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Q: [200] Given E=1 42, determine, L3 3 1 1 the determinant of E. 2 the matrix of the minors. 3 the…

A: E=200142331

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Q: Find the limit. lim (x,y) → (9, 9) 3 3,,2 (x²√³ - x³y²2) -

A: Apply L'hospital rule in limit

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A: A function f(x) is continuous at x=2 if left hand limit and right hand limit and the function at x=2…

Q: Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x-1 a)…

A: The given function is, f(x)=4-x2, x<-1ax2-1, x≥-1

Q: A line has slope -3 and y-intercept 5. Find a vector equation of the line. OA) [x, y] = [5, 0] +…

A: A  line has slope -3 and y-intercept 5. To find the vector equation of the line.

Q: Consider the region bounded by the parabolas: y : x² + 4x + 3 and y = x² + 2x + 3. the volume of the…

A: Red graph is y=x2+4x+3 and blue graph is y=-x2+2x+3

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Q: 14. Differentiate. a) y= 12 10 b) y = (x + 2√√x) ex

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Q: J 2x cos(x²) esin(x²) dx

A: Integration of  2x.cos(x2)e^sin(x2)dx  We have to calculate du after suitable substitution

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Q: = The federal tax rate for heads of household is given in the graph shown to the right. Use the…

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Q: Use the equation to find dy dx dy dx || | OF дх OF ду || | ㅠㅠ X 3ey sin(x) = x + xy

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Q: Find a parametrization of the line in which the planes x+2y + 6z= -1 and 2x + 3y +9z = -3 intersect.…

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Q: given fal = √√x-5 and 9(x) = x² + 4x + 2 Find Fog and g of

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Q: by identifying the domain and any symmetries, finding the derivatives y' and y'', finding Graph the…

A: We have,   y=x4+256x2

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Q: Quadratic equations are not nol in the form f(x) = ax²+bx+c to find (h, k). Begin by completing the…

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Q: (b) J₁ In x x3 dx

A: To determine whether the following integral is convergent  or divergent.  ∫1∞lnxx3 dx Note: Since,…