If a cannonball is fired from a hillside 75 meters above ground with an initial velocity of 100 meters/second, what is the greatest height the cannonball will reach?

Q: x^n dx=x^(n+1)/(n+1)+C is not possible when    a. n=0   b. n=1   c. n=-1   d. n=2

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Q: Eualuate Integral S3x+2 VT-25x?

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Q: 1 Show that f(x) =7(1+x) - 5/4 is a probability density function on [0, o); then find the indicated…

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Q: In how many different ways can 11 different- colored horses be positioned in a carousel? 4 032 3 628…

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Q: Consider the following. y = x2 y = 20 − x   (a) Find the area of the region by integrating with…

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Q: Let f(x) = x In(1+x*). For all æ € [-1, 1], it is known that %3D +o0 In(1+x) = £ (-1)" -xn+1 n+1 n=0…

A: Given: Now, for 7th degree Maclaurin polynomial for f will be,        ln(1+x)=∑n=06(-1)nn+1xn+1. We…

Q: Solve the initial value problem below using the method of Laplace transforms. y" +3y' +2y 150e ",…

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Q: 4. S tan x dx CSC X sec (In x) dx 5. dx 6. S; 1- cos 2x

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Q: To find an antiderivative of a constant times a function, set aside the constant and find the…

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Q: Find all the relative and absolute extrema of the given function on the largest possible domain.…

A: Given,  g(x)=(x-6)2/3

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y…

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Q: Let (2+2 ifz> 2 f(z) = { if-2<r<2 3-z ifz<-2 Which of the following is the graph of f? O None among…

A: Graph of given questions is given.

Q: determine the relation x^2 + y^2 = 13. dy/dx in terms of x and y using implicit differentiation.

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Q: Decide whether the function defined as follows is a probability density function on the indicated…

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Q: 4. An object is moving along a horizontal line according to the position function s(t) = 2t - 21t? +…

A: Let's find.

Q: Work Problem 1 (a) Sketch the surface generated by revolving the line y = x/2, 0 <x < 6, about the…

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Q: The monthly profit, P(x), of a company is expected to change at the rate of 6,498 P'(x) = 3 – (2а —…

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Q: Find the limit of the sequence 7 n + 2 lim Show your work. V2n+7

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Q: x 10°)(2.98 × 10-3) (2.446 x 10-3)(62.5) Express your answer using the correct number of significant…

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Q: Solve for x

A: For solution of f(x) = 0 Drawing the graph of y = f(x) The point where the graph passes x axis

Q: what is the parametric and symmetric eqvotions of the line that passes thrs point (4.-3,57 to beth…

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Q: Find the area of the region enclosed by the rose r = 18 cos 30. NOTE: Enter the exact answer.

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Q: Suppose that the coefficients of the power series Ean(r – c)" n=0 satisfy |an+1\| lim = L. |an| (a)…

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Q: Find the area of the region enclosed by y = 4x and z = 6 – y. %3D %D 4 +2 Use horizontal strips to…

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Q: Question 2r x2 + 6 over the interval [0, 5]. Find the absolute maximum and absolute minimum of the…

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

Q: Find the average value of f(x) = 4-x2 on the interval [2,3] Find the area enclosed by f(x) = -x2+4x…

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Q: Using algebra and calculus to analyze the function, Algebra: how can I find all the intercepts, as…

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Q: Find the eccentricity, the type of conic, the directrix, and sketch a graph: r = (3) / (1 -…

A: Let's find.

Q: 3x3/2 2е + dx

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Q: I ntegrate : 1. ト「1G4y? +L dx 64x?+ル 2+16 dx

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Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

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Q: Evaluate the integral. m/4 cos ti+9 snt d

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Q: -1)*x²" 1. For all x E R, cos x = (2n)! n=0 a. Find a power series that is equal to x cos(x²) for…

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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: - 5x Use the Taylor polynomial of degree four for the function f(x) = e at x = 0 25 125 625 P4(x) =…

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Q: Calculate dx2 y =- 3 7 In(x) 7 3

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

A: From the given graph

Q: Solve the differential equations using the substitution suggested by the equation. (2x + y)dx -3(2x…

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Q: Determine whether the geometric series converges or diverges. If it converges, find its sum. E7*8*+1…

A: Given: Here,         an=7n8-n+1    =7n8n-1 So,         limn→∞an+1an=limn→∞7n+18n7n8n-1…

Q: A box with a square base and open top must have a volume of 186624 cm³. We wish to find the…

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Q: Solve the following problems completely and accurately. Solving Differential Equations (1) Find the…

A: Since, the student has mentioned to solve question number 1, so we are going to solve only question…

Q: A sales representative for a company that produces electric can openers can sell x units of their…

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Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

A: x+y=-1y=-x-1(line with negative slope and intercept -1)2x+y=-3y=-2x-3line also with negative slope,…

Q: 100 The sequence { 2n+3 n=1 }, is decreasing. Select one: O True O False

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Q: 2. (x+2y-1)dx+(2x+4y–3)dy=0; when x = 2 and y = -1 %3D

A: We can solve the given differential equation by using the substitution . Substitute x +2y = v and…

Q: If f(x) = kx², determine the value of k that makes f(x) a probability density function on 0sxs4. The…

A: Given: f(x) = kx2

Q: If f(x) = kx, determine the value of k that makes f(x) a probability density function on 0<xs4.

A: Given,           fx=kx2To find : Determine tha value of k that makes fx a probability density…

Q: Find dy/dz y=f(z) (2x2+3x+1) where f(z) is a general function and z=4x3+2

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Q: (a) Use Newton's method to determine 2 correct to 6 decimal places starting with an initial guess r1…

A: Let's find.