36. Let d; denote the hours of daylight and 8; denote the increase in the hours of daylight from day j - 1 to day j in Fargo, North Dakota, on the jth day of the year. Interpret 365 dı + Σ δ;. j=2

Q: 1. Write the polar form of the following complex number Z = 3

A: We know that polar form of complex number z=x+iy is z=r(cosθ+isinθ) Where r=x2+y2θ=tan-1(yx)

Q: Find the particular solution of dy/dx=6e^3x+1,andf(0)=0.

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Q: Find the derivative of f (y) = 8 tan (y) V √y 8 8 √Y y4

A: The given function is: fy=8tany-y8-8y4y As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: 10.1.16 Question Help w a Given parametric equations and parameter intervals for the motion of a…

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Q: 1. u= x² + y² + z²

A: On solving this we will get

Q: For the following problems, find the general solution. 128. y" cos(x) + 2y + y

A: To find the general solution of the following differential equation.y''=cosx+2y'+y

Q: 5. Calculate the sum of the first 23 terms of the sequence defined below. tn 10+ 3n, n E N

A: We have to find the sum

Q: . Expand the binomial (2x - 1)*.

A: Binomial theorem

Q: 2r find the moment with respect to the wavic of the area hounded by the parabola v - Av-172 and v

A:

Q: Solve ²₂(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

A: ∫-22(x+1)(x2+2)2(x2-1) dx

Q: State the initial value theorem. Verify the theorem for the functions: (a) 3-4 sin t (b) (t-4)² and…

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Q: Find the area bounded by the curves y-x² = -3,x+y = 3 and y = 0.5x.

A:

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1) b) has…

A: vector equation of line

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1)

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Show that the three functions: f₁(x) = ex-8f₂(x) = exf3(x) = 4(2x-2) are linearly dependent.

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Q: Determine the Cartesian equation of the tangent line to C1 at the point where 0 = π/2. Given: polar…

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Q: Using Pappus Theorem, find the volume formed by revolving about the x-axis the area bounded in the…

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Q: Find the Area of the Surface obtained by rotating the curve about the x - axis y = cosh x, 0 ≤ x ≤ 1

A:

Q: eading due north at 500 km/h. If it encounters a wind from the northeast at 1 sultant velocity…

A: We will solve the problem.

Q: 1. Vector A is the same as: (Circle ALL that apply) A a. B+C b. D-B B C. D+C D d. (D-C)

A:

Q: 1. If x=27-3k and y = i +5j -4k, express each of the following in terms of i, j, k b) 2(3x+y)-3(4y…

A: Given x→=2i→-3k→ & y→=i→+5j→-4k→To write expression in terms of i→,j→,k→:

Q: 8. An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to - 1. Calculate…

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Q: 9 Determine the area to the right of g (y) = y² +4y-5 and to the left of the y-axis.

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Q: If f(x) = 2x + 1 and g(x) = ln(5x − 2) then (f. g)'() = A. None of these B. 1.25 c. -0.386 D. 20

A:

Q: e formula C = (F-32), where F2-459.67, expresses the Celsius temperature C as a function of the…

A: Topic:- function

Q: For which of the following integrals should substitution be used, instead of Integration by Parts?…

A: Solution :option D substituition be…

Q: Determine if the function f (x, y) = if (x, y) = (0,0) is continuous at (x, y) = (0,0). If not,…

A: Use limit to find wheather function is continuous or discontinuous.

Q: Solve for the Partial Derivatives and total differential of each of the following function

A:

Q: ind the open intervals on which the function shown in the graph is increasing and decreasing.…

A: Topic:- function

Q: 27. Which of the following function is continuous at x = 2? 2 2-3x A. f(x): = C. g(x)= = x-2 2-x…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the area bounded by the parabolas (x - 2)² - 9py = 0 and y² = 9p(x - 2).

A:

Q: 5. Determine vector and parametric equations of the plane that... a) has the scalar equation 2x-y+…

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Q: For the following exercises, find aj dt and direct substitution. 226. f(x, y) = x¹, x=t, y=t using…

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Q: In the quadratic equation Ax2+BX+C =0, describe the roots when B2-4AC is positive. The roots are…

A: The given quadratic equation is Ax2+Bx+C=0

Q: Find the Area of the Surface obtained by rotating the curve about the x-axis y = cosh x, 0≤x≤1

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Q: If sin 20 = √3, 0≤ 20 ≤ 2π, calculate the values of

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Q: · ƒ³3(x + 1)(x + 2)²(x² −1)dx with and without the even-odd theorems (show both solutions).

A: Solution :Without odd-even…

Q: y = (x² + x + 1)²

A:

Q: Given the function f(x) = = Find the difference quotient Find f'(x) by determining lim f(x +h)-f(x)…

A:

Q: c) 3,-1, -3, 3, -9, -27, ...

A: If the difference between two successive terms of a sequence is constant, then the sequence is…

Q: Solve y at x = pi/3. cotx dy/dx = 1 - 2y, y(pi/4) = 1 0.75

A:

Q: Find the area bounded by y³ = x² and x-axis, from x = 0 to x = 8.

A:

Q: Consider vector v = (1,2,2), point A(2,5,4) and point B(-1,5,1) - In center-radius form, find an…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

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Q: B. m(x) = D. h(x) = x+2 x²-4 28. What is the removable discontinuity of x²-4 the function f(x) : = ?…

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Q: Find the inverse of 2=2-51.

A: Here, we need to find the inverse of z = 2-5i. So,…

Q: Evaluate the y' and Simplify the answers Inverse trigo functions y = √x² - 4 + 2arc(csc)

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Q: 48. Evaluate: A. (x + 1)³/² + C 5 B. (x + 1) 5/3 + C C. (x + 1) 5/² + C D. (x + 1) 5/4 + C 49.…

A: As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And The common integral; ∫eax+bdx=1aeax+b+C…

Q: Find the exact maximum and minimum volumes (in cm) of a rectangular box whose surface area is 1,300…

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