1)State the order of each of the following differential equations d²y a) 22 + y = x dx - dx2 b) y' + 2y" + y'=0 c) (1– x²)"– xy 1-x2

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A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

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Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

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Q: 3. Consider the series n (2л — 1)8п. - п4 + 1 n=1 Use the previous item to find its interval of conv...

A: Solution is given below:

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Question 6 Find all the second order partial derivatives of the given function. f(x, y) = x y 2 + y ...

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Q: 6. y = 2 log, (e")

A: Solution ) y = 2 loga(ex) Suppose ex = m Chain rule of differentiation  dy/dx = (dy / dm)×(dm/dx) [ ...

Q: A 13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides av wall?...

A: length of ladder l=13 ft Let x be the horizontal distance from the wall to the bottom of the ladder....

Q: Find v ·u. • u. v = -7i +2j and u = 5i +5j O -45 O -35i + 10j O -25 O -2i + 7j

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Q: 4 sin (2x) dx cos (2x)t4

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Q: 6.1 f*, V16 – x² dx 4

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Q: Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq....

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: A 500 gallon tank initially contains 50 gallons of brine solution in which 28 pounds of salt have be...

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Q: 9. (2y? + 2y + 4x²) dx + (2xy + x) dy = 0; when x = -1 and y = 0

A: As per our guidelines we can help you in solving only first problem. Rest of the problems you have t...

Q: Set up an integral representing the area A of the region enclosed by the given curves. x = y*, x = 2...

A: Explained below 

Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation....

A: Consumer's Surplus , CS = ∫0q p(q)-p dq .

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Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 9k w = i+ 3j + 7k Find the ...

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Q: Find the area of the triangle with vertices P(1,3, –4), Q(0,0,0) ar R(4,6, 1). NOTE: Enter the exact...

A: Given: P=1,3,-4Q=0,0,0R=4,6,1

Q: Find the length of the curve defined by æ? = 2y³ from x = 0 to x = 4:|| %3D

A: We need to find length of curve.

Q: 25: Solve the following differential equation, od aace x(T/2) = 3 1 dx sco e de x2 csc 8

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: Evaluate the given integral by changing to polar coordinates: Sl. x²y dA, where D is the top half of...

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Q: Solve the following problems. Show complete solutions. 1. S sin° (2æ) cos (2æ)dæ

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Q: 2. Show that the equation 2x + cosx 0 has exactly one real root.

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Q: Construct a truth table to show that (pnq) → p is a tautology.

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Q: S In?x dx = xln?x – 2xlnx + 2x + c %3D

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Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.5...

A: The balance P (in $) grows at a rate (per year) is given by, dPdt=0.065P(t) ............. (1)

Q: Solve the following equation using bisection method to find the root between x1=1 and x2=3 make 5 it...

A: Given,f(x)=3x3-10x-14We want to find root of function between 1 and 3Thereforef(1)=3(1)3-10(1)-14f(1...

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: Find the general form of f if f'(x)- 8f(x).

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Q: * 00 %24 Suppose that a company introduces a new computer game in a city using television advertisem...

A: Given query is to find value of p at x = 0.

Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following

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A: The line in parametric form is given as, x=2t , y=6-t , z=9+8t So, x-02=y-6-1=z-98=t So, direction r...

Q: For the function f(x) x3/3 - 3/4 x2 - 27/2 x + 39 1. determine the coordinates of the turning oints...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Write the following in the "if" and "then" form 1. Eighteen-year-olds are eligible to drive. 2. A r...

A: If and then statement

Q: 15.

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Q: (2y? + 2y + 4x²)dx +(2xy +x)dy = 0; when x =- 1 and y = 0 %3D

A: Let's find. 

Q: 1.f(0) = (금x* + 3)" %3D

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Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: Question Determine the sum of the convergent series below. "(-9)!-n n=1

A: Find your answer below 

Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A ...

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Q: view Policies Current Attempt in Progress An open box is to be made from a 33 ft by 88 ft rectangula...

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Q: cos-1(2 x2)

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Q: f(x, y) = x2 + 20x + y² + 16y + 10 O f(-10, 8) = 102, saddle point O f(10, 8) = 502, local maximum O...

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Q: Question 15 Write a chain rule formula for the following derivative. for w = f(x, y, z); x = g(s, t)...

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