If 0 ≤ an ≤ b, and Σb, diverges, then Σan diverges.

Q: Give the Particular Solution of the following Differential Equation d² y dy +2 -8y = 0 dx² dx IBC:…

A: To find the particular solution of given differential equation.

Q: Answer true or false. If f is not piecewise continuous on [0, ∞>), then L{f(t)} will not exist. O…

A: Topic:- application of integration    Definition :- A piecewise function is a function defined by…

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s)} = f(t)g(t). O True O…

A: The given data is: Lft=Fs and Lgt=Gs, then L-1FsGs=ftgt is true or false.

Q: 48. Find AB in CO A. 10/2 B. 20√2 C. 10 D. 20 20

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Q: Which of the following is the equation of the ellipse with a vertical major axis, center at (1, -3),…

A: Here we have to find the equation of an ellipse.

Q: Consider the following function. f(x)=√x-4, x> 4 What is the domain of f? (Enter your answer using…

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Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = 1 x√ 16x² - 1

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Q: Admission to a baseball game is $3.50 for general admission and $5.00 for reserved seats. The…

A: Admission to a baseball game is $3.50 for general admission and $5.00 for reserved seats. The…

Q: 6. DETAILS ZILLDIFFEQMODAP11 4.5.045. Solve the given differential equation by undetermined…

A: To find out the solution of the differential equation by using the undetermined coefficients.

Q: 2. sin x siny dy + cos x cos y dx = x² sin x cos y dx

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Q: etermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that…

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Q: 5. y=x² + 4x+5

A: Given the query is to find absolute maxima and minima.

Q: F(x,y)=4xy-x^3-2y^2 A. Find Fx and Fy SHOW ALL WORK B. Find all second order partial derivatives of…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find div F and curl F if F(x, y, z) = 7evi-4 cos yj+ 10 sin² z k. div F= curl F

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Find the value of() for a solution (x) to the initial value problem: y"" − 3y" + 4y' – 2y = 0; y(0)…

A: In this question, we want to solve the third order homogeneous differential equation.

Q: Consider the following function. y = 6x In(x) Find y'(x). Y'(x) = 6 + 6 in (x) Find y"(x). y"(x) = 6…

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Q: TE: Use c for the constant of integration. 3 t²54 t + 486 + 9y' +y = 3t² C es utions converge to the…

A: Topic:- differential equations

Q: If x is a lower bound for S in R then x must be unique..

A: If x is a lower bound for S in R then x must be unique.

Q: ← + New ▶ LO (F ☆ 0 Screenshot (1907).png 2011- Files Find the Wronskian of two the functions y₁ =…

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Q: Find both first partial derivatives. h(x, y) = e(x¹0 + 10 hx(x, y) = h₂(x, y) =

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Q: 1. a₁ = 2n-1 an 2. An= 5n - 3 an 3. a = n(-2)

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: provide

A: Please refer to the image below

Q: Find div F and curl F if F(x, y, z) = 6evi-3 cos y j + 4 sin² z k. div F= curl F=

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Q: = √x³ + 2x³-3x d (x²+1)³ dx

A: Topic:- application of integration

Q: Solve the initial value problem y" — y' — 12y = 0, y(0) = a, y′(0) = 15. - Find a so that the…

A: We need to solve the initial value problem and also need to find out the value of a.

Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00).…

A: Given :  f1(x)=0  , f2(x)=x , f3(x)=ex   To Check : Given functions are linearly independent or…

Q: Find the general solution of the given differential equation. dy 2 +6y=3 dx x(x) = 2 Give the…

A: To find the general solution of the given differential equation.2dydx+6y=3To give the largest…

Q: Use the given graphs of the function f (left, in blue) and g (right, in red) to find the following…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others parts…

Q: The linear approximation at x = 0 to sin (7x) is A + Bx where A is: and where B is:

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Q: Which is the focus and directrix of the parabola with equation (y + 0.5)² = 4(x - 1)? Focus…

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Q: Step 2 Apply the rule of integration by parts. -√ x Judv Let dv= ew dw and integrate the…

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Q: Find div F and curl F if F(x, y, z) = xz¹i+ 4ya²j+6z²yk. div F= curl F=

A: Vector

Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

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Q: Evaluate the definite integral. [²³ sin5(x) dx Step 1 6.² sin5(x) dx, first rewrite the integral. To…

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Q: Imagine that you work as a designer in a company that designs baby bottles. Your mission is to…

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Q: 7. √x³ + 2x³-3x dx (x²+1)³

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Q: b) sin (2x) tan (5x) Find lim- (Can't use L'Hospital's Rule)

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Q: Sketch both parametric curves below. Then determine if they intersect. If they intersect, find the…

A: Given,

Q: Rewrite the following 1. sin¹ (3x) = Submit Question as a sum of trigonometric functions with no…

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Q: st, enter DNE.) f(x, y) = x² + y² + 4x 10y6 minimum maximum point (x, y, z) = (x, y, z) = (x, y, z)…

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Q: Determine if the following series are convergent.

A: we have to check whether the series is convergent or divergent.

Q: Calculate the indicated Riemann sum S5, for the function f(x) = 26 - 3x². Partition [-4,6] into five…

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Q: Find the indefinite integral. S Step 1 / sin sin³ 70 √ cos 70 de To solve the integral Therefore,…

A: Solution

Q: 6. Find the y" + y = sec³ x; y(0) = 1, y'(0) = 1. -√2 value (7) for a solution (x) to the initial…

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

A: Given function, f(x)=x2-3x-18

Q: 6. Find (0) for a solution (x) to the initial value problem (secx)dy = 2√y+Idx; (n) = 3 2 3

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Q: Find the indefinite integral. (Use C for the constant of integration.) | VECES + √t(t + t - 4) dt TE

A: Given the query is to finding the integral.

Q: Consider the following function. y = 6x In(x) Find y'(x). Y'(x) = 6 + 6(in(n)) Find y"(x). y"(x) 6 x…

A: Solve

Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

A: We have to find the limit