A particle's acceleration is given by the expression a(t) = 3t2 m/s². The particle was measured to have initial velocity 3m/s and initial position 1m at time t = 0 s

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A: Let the sum on the left hand side be Sn

Q: a plane through the points (1,8,-8), (-5,7,1), (1,-3,-6) = +12y + z = -335 X

A: We will find the required equation of plane.

Q: Which of the following is equivalent to D OF lim 2 11 SVI + 2x de dx SVI+ 2x dx S₁ √I + x dx f₁₂ √I…

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Q: Let F(t) = ( − 4, √t, 5 cos(t)). fr(t)dt fr(t)dt = ([ Find (don't include the +C) + C

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Q: Find the solution to the Initial Value Problem 4y" -10y' - 6y = 120 sin x, y(0) = 8, y'(0) = 2.

A: The given initial value problem 4y''-10y'-6y=20 sinx, y0=8, y'0=2. We have to find the solution of…

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A: We have to find the limit.

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Q: Identify all roots of the polynomial 3-4x²-3x+18. State the multiplicity of each root, and explain…

A: See this solution in below.

Q: Find the tangent plane to the equation z = 2x² 2= 56x-430y + 1554 X 2x²2y² + 4y at the point (3, 4,…

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Q: 11. Solve the following Bernoulli equation with initial condition: - y = e²xy³ with y(0) = 1.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: 1. a) Write a short note on the meaning of the derivative or differentiation. What is the…

A: a) Differentiation: Differentiation is the process of finding the derivative of a function. It can…

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A: Let's find slope and draw the tangents.

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Q: Consider the following vectors a = 5i-2) + k b = 2j-k i) ii) iii) iv) v) Find 2b - á. c = −î + 3ĵ…

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Q: Σ n=1 a \n+2 1 n + 4

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Q: 1/9 100% Sets: solved exercises b) B= Exercise 1. Tell whether the following sets are bounded from…

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Q: Solve √√√5x + 5+ 8 = √16x + 5. O a. O b. O c. x = 2 x = 4 x = 8 O d. x = -2

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Q: Find the required higher derivative. Show your complete solution. 11. x=a²bsin 2at y=ab² cos 2at ;…

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Q: (5) The value(s) of c that satisfy the conclusion of the mean value theorem for f(x)=on [1,3] is (A)…

A: Given :fx=1xa=1b=3

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Q: 4) ydx + (x + y²) dy = O

A: The given equation is; ydx+(x+y2)dy=0

Q: 3 a Differentiate b Differentiate sin x and hence find an anti-derivative of COS X cos(2x) sin(2x) 1…

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Q: Use part one of the fundamental theorem of calculus to y = 3x + 7 t 1 + 1³ dt

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Q: (i) (ii) (iv) Given the following functions: p = 6x² + 3x - 3 q=-6x²-3x + 3 Calculate the roots of…

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A: We need to choose correct option.

Q: draw the graph of the in inequality y < 2x - 4

A: Topic:- application of functions

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Q: Kindly resolve this problem/solutions. Do mot copy the solutions above.

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