Consider the position function below. r(t) = (1-16,5-4t²) for t≥ 0 a. Find the velocity and the speed of the object. b. Find the acceleration of the object.

Q: Q6) Test the convergence of the following (n+1)(n+2) 1) Σ=1 n!

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Q: ¹.) f(x) = (x³ - 7x² - 6x + (4 +17) f(x) = x-6 7x - 6 2) f(x) 4 - 17x²

A: Explanation of the answer is as follows

Q: 7) lim (cotx +cscx) XIR

A: lim      cotx + cscx x -->π lim      cosx/sinx + 1/sinx x-->π lim      (1 +cosx)/sinx x-->π…

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Q: B) Evaluate the line integral of the function P(x,y) dx + Q(x,y) dy. over the curve C where…

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A: We can Tak ln both side and solve as follows

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A: dimensions of the Roy and Roger's sandbox : length =  t2  width = t5 height = v2…

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Q: Q4) find the soluation of differention equation using exact equation 2) 2xy' = 10 x³y5+ y

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Q: Find the limit. (If an answer does not exist, enter DNE.) x + 7-8 lim X→ 57 X - 57

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Q: * Parallel lines have the slope (m1x m2 )= -1 true O False

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Q: Find the average of two numbers (x1, x2) and print" pass "if the average is more than 50 and "not…

A: Given numbers : x1,x2  Average  of number = (x1+x2)/n                 where n=2

Q: Q2: Find the following limits V-V lim x418√√x+√ 友

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Q: Determine whether the differential equation (4x² − 2xy + 6) dx + (2y² − x² + 4) dy = 0 is exact. If…

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Q: Let y = f(x), where f(x) = 5x² + 5. Find the differential of the function. dy = X

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Q: Given a general antiderivative of x² + 3 +C with initial condition (2, 0), then the particular…

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Q: A polynomial f(x) has the given zeros of 6. -1, and -3. Part A: Using the Factor Theorem, determine…

A: we have to find the polynomial whose zeros are 6 ,-1,-3.

Q: Question 2 Assume is in radians. The angles requested are measured counter-clockwise from the…

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Q: 8. Find the area bounded by y=ex, y=x² and x=2. a. 3.1 u² b. 4.1 u² c. 5.1 u² d. 6.1 u²

A: Here we have to find the area bounded by the given curves.

Q: Find for THREE of the following functions: dx *²)+In/cos(x)). 5 2(cos(x)))

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Q: Q:5) A) Use the definition to determine whether the series converges or diverges 530+2 اسور

A: First I have written the Ratio test for Convergences of a series and show that , given series is…

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Q: 2) Find the oneer bounded by x = 3y²-9, x = 0, y = 0, y = 1 a) 8 b) 6 c) 4 d) wone of the above

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Q: a) Find the simplified form of the difference quotient for the function f(x) = 2x² - 4x + 5. b)…

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

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A: Given differential equation is dydx=3x2-2y-y32x+3xy2

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Q: For the function, find the point(s) on the graph at which the tangent line has slope 2. 1 y=x²-3x²…

A: Given y=13x3-3x2+7x+16 & m=2To find point on the graph:

Q: Use the graph and the function to find the following. a) Find lim k(x). X→-1 b) Find k(-1). c) Is k…

A: We need to check the continuity of the given function in the shown graph.

Q: Q31 Find the value of Q, where Q = M/N. " 6 3 1 M= 7 -2 4:07 1. Add file 1-3 4 1 91 3 7 TO N=1 3 L2…

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Q: 1) a car is slowing down at the rate 0.8 ft /sec², How the will the can move before it stops if its…

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Q: Solve the equation | +6 - 4. The solutions are 1 = and 2 = where ₁ ≤ x2. This means x₁ is the…

A: Given,  |x+6|=4

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Q: c) S xaccainxdx a) = (2x²-1) arcain x + ¥√√√²-x² + C b) 42 (2x² +₁) ancais x + x²√√1-x² + c c) 4…

A: The objective is to find the integration.

Q: Q:3) A) Test the following surface for maxima minima and saddle point: Z=5+xy+x²+2y+3x

A: See this solution in below

Q: 1 (c) I Y (d) y = 5x x², y = x = 0, y = 1, y = e I=

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Q: Q21 By using Adjoint method, find the inverse of the following matrix. [1 -3 -1 A= 4 2 LO 2 Add file…

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Q: Solve by Gaussian elimination x-4y-2z = 21 24y + 2 = 3 3x+2y-z = -2

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