|A particle starts at the origin with initial velocity i – j+ 3k. Its acceleration is ã(t) = 6t ỉ + 12t² j – 6t Ř. Find the velocity and position vectors for this particle.

Q: Consider the graph of f(x) given below and compute the limits. 15- 10- -10- -15- 4. lim f(x) 5. lim ...

A: Graph of the function f(x) is given we have to find the given limits

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Q: valuate the integral in the image below.

A: To evaluate:∫02π∫01∫r12-r23dzrdrdθ

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Q: Consider the graph of f(x) given below and compute the limits. 15- 10- -5 -10 -15- 1. lim_ f(x) 2. l...

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Q: 8. Using Eular's method, solve the differential equation dx -1 = y, where y (0) = 0 taking h = 0-1 a...

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Q: If u, and u2 are orthogonal unit vectors, and v = au, + bu2, find v•uq. = 'n.a v•u,

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Q: dr 1. Find if dt

A: Follow the procedure given below.

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. (...

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli eq...

A: Given that the differential equation is     x(dy/dx) + y = 1/y2

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A: given graph

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Q: Let F(x) = 2x^3 - 5x + 1 Explain, by using the Intermediate Value Theorem, why this function has ( a...

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Q: Why must n2 r in the notation nCr?

A: Topic = Algebra

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Q: Symmetry 5. Look back at the graphs of the curves y = r2,x = y°,y² = x², y = ,y = VI, r2 + y? = 25 a...

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

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: Topic = Volume

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Q: x3 -2/2 sxs0, about the x-axis. Find the area of the surface generated by revolving the curve y = 18...

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Q: Question 3 If f (x) = x² +1 and g (x) = 1 what is go f(x) = g(f(x))? %3D 1 x2 +1 O 1 (2² +1) 1-(주)。 ...

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Q: 0 2 4 6 8 10 12 f(x) =|-16-12 -10 -8 -7 -8 -10 . Estimate f'(2) using the values of f in the table. ...

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Q: エ→-3- g(x) f(x) lim エ-ト-3+ g(x) f(x) g(x) lim ||

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Q: 3. Consider the basic parent graph of f(r) = VI. a). Write and sketch a graph an cquation that repre...

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Q: The horizontal asymptotes of the curve 9x y = (zª + 1)'/4 are given by and Yı Y2 = where y1 > Y2-

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Q: Evaluate f csc² x cot x dx by two methods: (a) Let in appearance of the answers obtained in (a) and ...

A: Integrate cosec2xcotx by two methods .   

Q: 1) find the derivative of y = 4x2 – 3x – 2 | | then evaluate f'(x+3)

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Q: The functions f and g are defined by the following tables. Use the tables to evaluate the given comp...

A: Given query is to find the value of indicated composite function f(g(10)).

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

Q: Evaluate using Trigonometric Substitution: dx I+v o 음V1-VE(V-2) + C o 을V1+vE(VE-2) + C O None of the...

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Q: Given f(x)= 2x^2-3x +1 find the difference quotient f(x)-f(2)/x-2

A: The given function,   f(x)=2x2-3x+1

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli eq...

A: We need to solve DE.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: f(x+h)-f(x) 1. Let f (x) = Vx find the derivative of the function using the formal definition of the...

A: Given f(x)=xTo find derivative of f(x) usingf'(x)=limh→0f(x+h)-f(x)h

Q: Problem 2: French's Electronics is selling laptop computers. It determines that its total profit, in...

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Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in t...

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Q: lim (4.x – 3) = 9

A: The given limit,      limx→34x-3=9

Q: There was a need to know the mathematics-level of students of class 10th. Mathematics test was condu...

A: To find out the correct answer.

Q: Evaluate using Trigonometric Substitution: dx (16+22)? z(z+24) 12+16 + 6 tan-14 + C O None of the ch...

A: We have to find Given Integral.