The trigonometric integral fs sec² x (tan³ x - 2 tan7 x) dx is equal to

Q: y' =+y(y+2), y(0) = - 1

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Q: Find the radius of convergence, R, of the series. (x - 10)" Σ n = 1 R = 10 Find the interval, I, of…

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Q: 1 Defennire it the following series is Convergent divergent. E n=1 3 ²+2

A: since multiple questions are asked, I am answering first question

Q: 5x^4-8x^3+6x-5 find the second derivative and find the concavity upward and downward

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Q: For the formula in step 1 where did you get the 7300 -P. I understand how to find the other numbers…

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Q: A 19 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time t = 0…

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Q: Evaluate the triple integral. III. 5z dv, where E is bounded by the cylinder y2 + z2 = 9 and the…

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Q: You need to buy some chicken for dinner tonight. You found an ad showing that the store across town…

A: To find out the cheaper option.

Q: 2x-√5+4x lim x→6 x-3

A: The given limit is limx→62x-5+4xx-3

Q: -2 - 1 How did he get the value inside the circle 1-t x (t) = ૧ 1-t 2

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Q: Evaluate the iterated integral below. π/4 1 S. S'y co Só 0 0 y cos (x) dy dx

A: Solution…

Q: Use the graph off to find the largest open interval on which f is increasing, and the largest open…

A: Here we have to find the intervals where f is increasing and decreasing.

Q: (b) If ƒ : [0, ∞) — R is continuous on [0, ∞) and F(x) = Then show that ª (x − t)ƒ(t)dt, x ≥ 0. ď² F…

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Q: Find the gradient of the function at the given point g(x, y) = 2xe/x, (16, 0) Vg(16, 0) =

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Understanding of inflection point calculations are required to understand this problem.

Q: Let 8 f(x) = ΣX2 n = 1 Find the intervals of convergence for f. (Enter your answers using interval…

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Q: Write the equation of the circle centered at (2, 9) that passes through (18,7).

A: To find out the equation of the circle.

Q: Using the precise definition of a limit, à in terms of & for lim (2-3x) = -4 is E/-3 X-2 A) True B…

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Q: Find the derivative of Yfind the equation + e* cos 2x I = 8 Use the of the line tangent to the curve…

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Q: ENGINEERS TOPIC: Integration by Substitution : Algebraic Functions Integration by Substitution :…

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Q: Find the solution of the given initial value problem. 3y"+27y810y = 0; y(0) = 11, y'(0) = 57, y"(0)…

A: Given :3y'''+27y'-810y=0

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu²…

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Q: The life X, in hours, of a certain kind of electronic component has a probability distribution…

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Q: 5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a.…

A: Given half life of Krypton-85  is   t1/2=10.76 years

Q: Evaluate the iterated integral below. π 1 4 S*S'y cos (x) dy dx Só 0

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Q: Find the solution of the given initial value problem. 3y""+66y' 1044y = 0; y(0) = 11, y'(0) = 57,…

A: The solution is given below

Q: The DE of the family of circles with center at the origin is

A: The general equation of circle centered at  orgin with radius r is (x-0)2+(y-0)2=r2

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector.…

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Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) 15…

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Q: For what values of x is the function f(x)= A 2 B с The function is never increasing The function is…

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Q: 2. Find the curvature of f(x)= x cos²x at x = π

A: The solution is given below

Q: Find the component form of u + v given the lengths of u andy and the angles that u and v make with…

A: We can solve this as follows:

Q: 1. vdv S 602-1

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Q: Write a polar equation in rand of a hyperbola with the focus at the origin, with the eccentricity 2…

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Q: 6. Find the equation of the tangent plane to the surface: ==√√4-x²-2y², at (1,-1, 1)

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Q: Find dy/dx for 2x+y³ = 2y A B D bevelled fraction numerator d y over denominator d x end fraction…

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Q: ) ㅠ S tan5 (2x) sec² (2x) dx 2

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Q: 6. Write down the partial differential equations for; (a) Diffusion equation (b) Wave equation,…

A: Diffusion equation identical to heat equation  Wave and Diffusion equation contains partial…

Q: Find the radius of convergence, R, of the series. x4n n (In(n))² R = 00 Σ n = 2 Find the interval,…

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

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Q: In order to evaluate the following integral 1 cos-¹(√x) dx we first use the substitution W = √x,…

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Q: r+∞ x e dx x ln x

A: We have to evaluate ∫e+∞dxx lnx                                            I = ∫e+∞dxx lnx…

Q: Find the equation of the conic with focus at the origin, eccentricity e and the directrix y = d.

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Q: Suppose that f(x) = /'(-2)- - f'(1) = 6x + 16 X Evaluate each of the following:

A: we have to find derivative at a point

Q: The gradient at (-2,1) is

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Q: A function is given. g(x) = 7 +  1 2x;    x = 1, x = 7   (a) Determine the net change between the…

A: Given the function gx=7+12x , x=1, x=7

Q: Tim x-2 x-2 Js √5x-2-√√2x+4

A: To evaluate the given limit first we multiply the numerator and denominator by the conjugate of the…

Q: 5x2–80 lim X-4 X-4

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Q: For the equation given below, evaluate y' at the point (-2, 0). y - 6x² + 24 = 0.

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