Q3)Find the distance from the pane to the origin The plane has A(LL0) B(-401) and CfeL)

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A: Given problem:- A sample of tritium-3 decayed to 85% of its original amount after 4 years. How long ...

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A: Solve the differential equation below:   (D2 -1)y=e-2x sine-x

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)3 f(x) =

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Q: 3 5 Consider the sequences, Which of these statements is correct? 2 5 8 11 A. The sequence converges...

A: Analysing this sequence we write the general term of the sequence as:                        an =   ...

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Q: Solve of AABC. 2. ABCD is a square of side 6 cm. If a rectangle of length (2x- 1) cm and width (x + ...

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Q: ich it is decreasing. Then sketch a graph of the function. f(x) = -x³ +9x? escribe any relative extr...

A: Topic:- calculus

Q: Use the binomial serles to find the Maciaurin serles for the function. 1 f(x) - (1 + x) Σ (x) = %3D

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Q: Qi) Solve the following PDES by direct integration. 2) = 0 дх ду 3) = x?y %3D дх ду dxdy azu -2t and...

A: Solve PDE by direct integration.  According to guidelines we solve only first question. 

Q: For following function, select (on the same set of coordinate axes) a graph for c =-3, -5 and-1. f(x...

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Q: Given that - 3| de k then the value of will be given by В. 13 10 C.I D. 14 E. None of the given choi...

A: We will find the value of k  in the following step.

Q: Compute the following limits, if possible. You may use L'Hospital's (Bernoulli's) rule if it applies...

A: Using l hospital rule and (a2 - b2 ) =(a-b) (a+b) 

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Q: 1. F- x/x is a weekday) Roster Method 2. G- (1, 2, 3, 4, 5, 6, 7, 8, 9, 10) Verbal description metho...

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Q: The sum of two positive real numbers x and y is 6. Find an x and y among these such that the product...

A: We need to find x and y.

Q: (a) Any critical point of a function f is either a local maximum or local minimum for f. True False ...

A: As per our guidelines, we are advised to solve only first three sub-parts of the question. Please up...

Q: find a and b if the line tangent to f(x) = a(x − b)2 − 1 at x = −3 is also tangent to g(x) = 1/4(x +...

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Q: y =2(2x+5) complete the below for x =-1/2,-1/5,0,1,2

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Q: Select the graph of the given function and determine the interval(s) for which f(x) > 0. Ax) = 16 – ...

A: For f(x) = 16 - x² * Since coefficient of x² is negative, Therefore the graph of the parabola of f(x...

Q: The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 14x – 0...

A: Given: The revenue in thousands of dollars from producing x units of an item is modeled by Rx=14x-0....

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Q: IV. Constructing. Construct the table of values, graph the function and find the indicated limits ea...

A: 1. limx→+∞3x2. limx→-∞4x

Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

A: According to question,Given differential equation,y4x + y  dx -2x2 -y dy = 0

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Q: Ay 165- P(1.5, 132) The tangent line to the graph of f(x) at the point P(1.5,132) is shown to the ri...

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Q: A loan, amortized over 25 years, is repaid by making payments of $1,800 at the end of every month. I...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the functio f(x) =...

A: Taylor series of a function f(x) about c=0 is given by, f(x)= ∑n=0∞fn(0)xnn!

Q: Find the derivative of the function. h(t) = (t + 5)2/3(2t? - 1)3 h'(t)

A: We will use following formulas to find h'(t) 1.d/dx(xn)= nxn-1 3.d/dx(uv)=U dv/dx +vdu/dx

Q: 4. f(x) = (Vx)(x² – 2x) %3D -

A: 4. f(x)=xx2-2x Solution f(x)=xx2-2x      =x12x2-2x      =x2+12-2x1+12      =x52-2x32 Derivative of t...

Q: rivat If f be fu Hence, we vative of vative of vative of

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Q: Calculate the limit. lim (-1)"n? (Give an exact answer Use symbolic nototi

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Q: Consider sequences (-1)"n Зи — 1 (i) cos a n n+ 3n (ii) 3n2+5 Which of the following sequences diver...

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Q: What is phase line

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)5 f(x) = 8.

A: The given function,        f(x)=11+x5

Q: A stone is dropped from the upper observation deck of a tower, 150 m above the ground. (Assume g = 9...

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Q: Paul wants to accumulate at least $35,000 by depositing $1,900 at the end of each month into a fund ...

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Q: 1 с) у- d) y= x 2** e*

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Q: Find the function with the transform 10 1 - e-4s – 4se- â(s) = 1- e-10s

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Q: (-1)*+1 1- 2n Given the set A= .The infimum of A is

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