Rotate the axes so that the new equation contains no xy-term. Analyze the graph the new equation

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Q: Tutorial Exercise Confirm that the Integral Test can be applied to the series. Then use the Integral...

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Q: Which formula is not equivalent to the other two? a.)E (k – 1)? b.)E(k+1) c.)k?

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A:   Given the systemdxdt=2x-2y-4 anddydt=x+4y+3 To find critical point we take dxdt=0 anddydt=0  

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A: Given : x(t)=2ln(t)y(t)=2sin(-5t)   To find : d2ydx2

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Q: For the function y f(x), it was found out that f"(C) = 0. What can be said that x=c ? critical point...

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Q: 6. Find the exact solution of each equation, no decimals. Do not use a calculator and find the domai...

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Q: 14 2

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Q: dy Find if y= (sin x)-1 dx O csc? x O csc x cot x O cor? x X. 1 1-x²

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Q: If z = y + f(x^2-y^2), where f is differentiable, show that y(∂z/∂x) + x (∂z/∂y) = x.

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Q: 55. A cardboard box without a lid is to have a volume of 32,000 cm³. Find the dimensions that minimi...

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Q: 2x – x3 da. = |- In(x – 1) + | Ftan-1(x)| + с Given: + J (x – 1)²(x² + 1)' 2(х-1) 2 2x – x3 determin...

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Q: 1 -dx Use the technique of completing the square to evaluate the following integral: J x2 - 6.x

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Q: point =)=at x = 2 -5 at x = -2 x² +1

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Q: second-order Taylor series expansion of function f(x)=ex g(x) at x=0 and calculate f(0,8) using this...

A: f(x,a) = f(a) + (x-a)f'(a) + (x-a)22f''(a)Here  x= 0 , a = 8So, f(a) = e8×g(0,8) = e8Since f(x) = ex...

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Q: Find an LU decomposition for the coefficient matrix and hence solve the system of equations xị -2x2 ...

A: We can write the given equation as:  1-231-121-13-613x1x2x3=7-313 The coefficient matrix is: A=1-231...

Q: Match each range of angles with each inverse trig function. acrsin x csc arccos x sec-x cot 1x: arct...

A: Here we will see the correct range of each inverse trig. function,

Q: Prove: 1. tan (A/2) = - cos A 1 + cos A sin A 1+ cos A 2. tan (A/2) = ±

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Q: Find the derivative of x3tan2x 2x sec2x+3x?tan 2x 6x²sec²2x 3x?tan2x+6xsec²2x 2 xtan2x - 3x²sec²2x

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Q: For the function y =f(x), it was found out that f(c) = 0. What can be said that x=c ? critical point...

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Q: Let m(t) be a function with the values given in the table below. 1 t 2 3 m(t) | 100 1600 25600 40960...

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Q: For f(x, y) = xe**Y, find fy (1, In 2) O 2 O 2 In 2 O 4 In 2 +2

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Q: ファー Choig nd Selve the :- ィ39+ジ = ze +5

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Q: Determine the amplitude, period and displacement for the given function, and sketch the graph of the...

A: Function y=32sin2x+π6 is given.We have to determine amplitude, period and displacement for the given...

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Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

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Q: For all x ≥ 0, 4x − 9 ≤ f(x) ≤ x 2 − 4x + 7. Find limx→4 f(x). ⇒

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Q: If f(r, v)= +y-2y, find fa (2, 1), f (2, 1), fay(2, 1) and fy(2, 1).

A: Given a function f(x,y)= x3+x2y3-2y2 Now, fxx= ∂2f∂x2=∂∂x∂f∂x fyy= ∂2f∂y2=∂∂y∂f∂y fxy=fyx=∂2f∂x∂y=∂∂...

Q: find u*v where theta is the angle between u and v. llull=4, lvl=16, theta=2pi/3

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Q: Given the function y=f(x), y" is found to be negative over the interval (4,8), then over this interv...

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Q: Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1 ,a=...

A: topic - limits and continuity

Q: Question 22 Find all the first order partial derivatives for the following function. f(x, y) = 9x - ...

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Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

A: Given w=f(x,y,z) x=g(r,s,t) y=h(r,s,t) z=k(r,s,t)  

Q: 2 3n + 4 Use the Integral Test to determine the convergence or divergence of the series. n= 1 Step 1...

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