A ball is thrown vertically upward with a speed of 15 m/s. Determine the maximum height and the time to reach that's height

Q: When solving the nonhomogeneous differential equation y" - 4y' + 4y = x by undetermined coefficients…

A: To solve the following problem

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Q: The integral of the given function ſ is equal to a. In2 b. In3 c. In4 d. In5 e. None of the above

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Q: Evaluate the integrals for 16 sin²x cos²x dx X,

A: Given ∫16sin2x cos2x dxTo evaluate the integral:

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A: Our Aim is to find the equation of the tangent and the equation of the normalto the curve y=x+1x…

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Q: 1) Use the Integral Test to determine whether the series is convergent or divergent. п (Зп — 1)2 c)…

A: Given problem:-

Q: dy Siven the equation below, find dz 16z° + 2ay + y° = 19 24. dy de low, find the equation of the…

A: Given query is to find the derivative and the equation of the tangent.

Q: 2. Determine the equation of the quadratic function which passes through the points (-2, -20), (1,…

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Q: How many ways are there to distribute r+s identical balls among five different children such that…

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Q: y"' + 4y" + 9y' + 10y = when x = y = 0, y' = -4, y" = 10

A: To find the general solution of the given differential equation.y'''+4y''+9y'+10y=-24e-x, when…

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Q: QUESTION 15 Not yet answe Find the domain and the vertical asymptotes, if any, of the following…

A: We have to find out the domain and asymptote

Q: Q/ For the function shown bellow; find dyldx using Chain rule Y = ( 4 2x + 4)*

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Q: csc? 20 cot 20 de

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Q: 2) Find the volume of the solid under the plane z = 3x +y and above the region determined by y = x'…

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Q: Spot the source/start of the mistakes and say something about it. S2 sec (a) dæ Given: Step 1:…

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Q: The following series is convergent: 3n 2n? – 1 Σ 4 + 5n2 n=1 Select one: True O False

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Q: 2(-1)"-1 n²+4 n – 1 | n=1 n²+ 3

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Q: 1-6 For each of the following functions, find a power series representation of the function, and…

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Q: 8. 1 is convergent or ) Use the Integral Test to determine whether the series divergent. "(Зп — 1)?…

A: To determine whether the series is convergent or divergent.

Q: Find the equation of the tangent and the equation of the normal to the curve y = x + at the point…

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Q: The integral of the given function xVx + 1 dx is equal to a. 116/5 b. 116/10 c. 116/15 d. 116/20 e.…

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Q: Find lim r0+ sin x 1- sin x 6. Find lim CSc x

A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

Q: complete

A: Please refer to the image below

Q: -31+2ア-K and ミー-^ -4 +3k in component form. 9ミ-2? +-yk delermine -マ-5+42

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Q: е. — 4t3 + 16t +9

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Q: S16 sin?x cos?x dx .2.

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Q: Scos | cos 3x cos 4x dx :

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Q: A spherical balloon is being filled with air at the constant rate 2 cm^3/sec. How fast is the radius…

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Q: | cos 3x cos 4x dx :

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Q: For the function shown bellow; Find the second order derivatives : af/ay (a^2 f)/(ay^2) f (x, y) =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

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Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

Q: In (x + x²) dx

A: Given problem:- ∫ ln(x+x2) dx

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Q: the function below f(x, y) = 2x² – 3y – 4

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Q: A spy uses a telescope to track a rocket launched vertically from a launching pad 6 km away, as in…

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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Q: Determine if the vector field F is conservative. F=xyi + yj+zk Conservative Not conservative

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Q: Express the vector 4u + 5w in the form v = v,i+v½j+V3k if u = (3, - 2, 5) and w = (- 4, 5, – 4). 4u…

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Q: Find the vertical asymptote(s) of the graph of the function. 4. *+ Br + 15

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Q: 1. Obtain the general solution unless otherwise instructed -24 5. у" + 4y" +9у'+ 10у when x = y = 0,…

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Q: Consider the function f(x) = : x2. (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: M(x,y)dx + N(x,y)dy is an exact differential when: M N В. M N C. IN M N D. E. None

A: Topic:- differential equations

Q: The integral of the given function f dx is equal to a. 0.116 b. 0.611 с. О.117 d. 0.161 e. None of…

A: Here we have to find the definite integral.

Q: Write each of the other trigonometric functions of e in terms of cos(e). (Enter your answers as…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: The series 00 14 2+ Vn2 1+ Vna n=1 is convergent if and only if: Select one: 144 a > а. b. a 4 d.…

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Q: The differential equation (cos(x) sin(x) - xy²) dx + (y - x²y) dy = 0 can be solved by: B. exact…

A: Explained below