Draw the slope field for Y - 2y dx

Q: what is the maximum of the function g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 over the region 0 ≤ x ≤ ...

A: The given function gx, y=x2+y-112+x+y2-72 over the region 0≤x≤5 and 0≤y≤5. The required partial deri...

Q: dx Evaluate: x²+ 8x + 20 x+4 A -1 tan +C B In (x²+ 8x + 20) c) None x+4 -1 D tan +C 2 x+4 E sin -1 +...

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

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Q: f(a + h)-f(a) a. Use the definition man = lim to find the slope of the line tangent to the graph of ...

A: The given definition of the slope of the tangent line of a graph at the point P is: mtan=limh→0f(a+h...

Q: Please do 1 and 7

A: Topic:- geometry   

Q: (a) Oppositely directed to v = (9, – 18) and half the length of v. w =|(?,?) (b) Length 5 and same d...

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Q: z, Z2 Prove

A: If z =x+ iy then  z = x- iy. i2 =-1.

Q: Compute the derivative of the following function. f(x) = 11 e 4x f (x) =

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Q: 14. What is height of the isosceles triangle with the greatest area that can be inscribed in a circl...

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Q: 1. Consider the sequence d = {5,-2, , 5 5 4 » 8 > 16 > •. -- a. What is the common ratio? b. What ar...

A: Given problem:-

Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: Ssin*(x)cos²(x)dx

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Q: Find the area enclosed between the curve y = 9- x squared and line y = x + 7 A 2.5 B 3.5 4.5 5.5

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Q: For a given function f, what does f' represent? Choose the correct answer below. O A. f is the avera...

A: Solution: Given data, f is a function f' represents??  

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the differe...

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Q: 2 dx 9-36x²

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Q: Consider the points A(3, –3, 3), B(4, –5,0), C(-3, –4, 0), and D(6, 2, –6). (a) Find the volume of t...

A: We have to find the volume and distance of given question 

Q: Calculus Question

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Q: Solve the derivative: sinx – 1 F(x) = COSX Answer: sec(x)tan(x)(sin(x) – 1) -

A: We will find the derivative. 

Q: Sketch the region bounded by the given curves, then find its area. y = 2x - x^2, y = 2x^2 - 4x

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Q: 1. Find the volume.fthe Solid..endlosed by. the pavabaloids 2 and.. z=18-X. 2 Za x-y Ans..81...

A: Given

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: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will calcul...

Q: y^2dx + (x^2 + 3xy + 4y^2)dy = 0; when x = 2 , y = 1

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Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below 

Q: piane :x = 3 - t, 2:x = 8+ 2 s, y y = 5+ 3t, = -6- 4s, z = 5+s z = -1-4t %3D

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Q: S secºxdx ха

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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:

Q: Let F and G be vector-valued functions such that F(t) = (cos(nt), e²t-1, t² – 1), Ġ(1) = (1, 1, – 1)...

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Q: 1 Which of the following functions, whose domain and b) codomain are the real numbers, are one-to-on...

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Q: Find the derivative of the function y = 7 tan(4x). dy %3D dx II

A: Given: y=7tan-14x   As we know that; The chain rule; fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And c·...

Q: 5: Solve the following differential equation, seo de 1 dx %3D 1 ,x(1/2) = 3 x2 csc e

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Q: 2x5y' = y(3x* + y²) 4

A: Find your answer below 

Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled ...

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Q: Find the area of the parallelogram that has u =i – 2j + k and v = 3j +k as adjacent sides. NOTE: Ent...

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Q: The line that passes through the points (4, –2,0) and (1, 1, 1) is parallel to which vector? Check a...

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Q: 2(-1)". п — 1 n n=2

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Q: Question 13 Solve the problem. Find parametric equations for the normal line to the surface x² + 2xy...

A: Find parametric equations for the normal line to the surface x2 + 2xyz + y2 = 4z2 at the point (1, 1...

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: Problems: Find the general solution y9-2y9+y"=0|

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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: Evaluate the given integral applying Chain Rule * S(V25 + x² ) 2x 2 (25+x²)v25+x² -+ c С. 2 (25-x²)v...

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Q: C. 2 dx dy

A: Given 

Q: 2n + 1 Σ n tan-1 n n=1

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Q: Sketch the region R of integration and switch the order of integration. 36 - x fx, у) dy dx y

A: Given problem:-

Q: x+5 9 – (x – 3)²

A: Given: I=∫x+59-x-32dx    ....(1)   We know the trigonometric identities; (1). sin2x+cos2x=1 (2). cos...

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: , for x 1 -X Discuss the contuniuty of f andf".

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Q: Mikasa is designing a new home and wants to put in a Norman window, which is window in the shape of ...

A: We have to find the area formula and radius that will give maximum area.

Q: Sx²sin(x)dx = -x²cos(x) + 2cos(x) + 2xsin(x) + c

A: Integrating by parts  .