the given expression :3y^2 + 6y + 7 is equal to. SUBMIT YOUR SOLUTION * none of the choices O 3(y + 1)^2 + 4 O 2(y - 2)^2 + 2 O 3(y + 1)^2 + 2

Q: Given the differential equation y" - 6 y' = 0 Determine the Characteristic Equation for the Differen...

A: First we find out the characteristic equation of the given differential equation.

Q: f(x.y) = xy' - 2x, P = (1, 1) 2.3 (a) In the direction of v (3.3) (b) In the direction toward the po...

A: Q(18).    Given f(x,y)=x2y3-2x, P=(1,1)

Q: sec?xdx Evaluate the given function ſ V1-4tanx a.글(1-4tanz) +c ·극(1-4tanx)i + C c.(V1 – 4tanx)' + C ...

A:

Q: Find the general solution of * y" - 3y' + 2y = 2x² + 1

A: Given: y''-3y'+2y=2x2+1 So, we can also write as: D2-3D+2y=2x2+1 So, the auxiliary equation is: m2-3...

Q: 5e3* dx J 6. 9-12e3 +4e6x

A: integration

Q: Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 8 by calcu...

A: Hence, the third approximation is x2 = 2.16

Q: how do you multiply big numbers and don't get confused?

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Q: f (x) dx=6, f (x) dx=2, and f (x) dx= - 3, find f (x) dx. If А) -3 в) -4 с) з

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Q: Evaluate the definite integral ग ( -मुआा) using Part 1 of the Fundamental Theorem of Calculus. Remem...

A: We have to find integral

Q: 4. A metal is heated up to a temperature UI J000C. Il 1J UIUI will the temperature be 1000C? what is...

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Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating combi...

A: The nth term of the binomial expansion of (a+b)n is given by: Tr+1=Crnan-rbr...(1) Here, to find the...

Q: Write out the first five terms of the sequence (-1)" n-1 determine whether the n2 n=1 sequence conve...

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Q: III. Use the nth-Term Test for divergence to show that 00 n +10 n=1 is divergent, or state that the ...

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Q: Find the following limit, then enter your answer in the form a/(x-b)(x-c) 1 find lim f (x+h) - f (x)...

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Q: A function f satisfies the following conditions. f(-3) = 2, f' (-3) = 0, f(-1) = 5, f' (-1) = 0, f (...

A: Given that the function f satisfies the following conditions f(-3) = 2, f'(-3) = 0, f(-1) = 5, f'(-1...

Q: Зех-5 Find the lim and lim of: —5ех—1 X→-00

A: We have to find out 

Q: CAn equation of the plane through the point (2, 5, 7) that is parallel to the line 7 (t) = 3î + 2ĵ -...

A: Given problem:-  Find an equation of the plane through the point (2, 5, 7) that is parallel to the l...

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: Homogeneous Differential Equations (13) (4x* + x³y + y*)dx + x*dy = 0

A: We are asked to solve the homogenous differential equation   

Q: Find the antiderivative of the integrand 49 dx. (A) 49* + C In 7 49* + C In 2 B C) + C 2 In 7 72x + ...

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Q: Determine the Convergence Interval of the following series! (x – 3)" n² n=1

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Q: A pyramid of height 500 ft has a square base 800 ft by 800 ft. Find the area ? at height ℎ....

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Q: Determine the solution to the initial value differential equation y'+ 3 y = 4 x y(0) = 3 y (x)=

A: First order differential equation : Consider the first order differential equations                 ...

Q: tes of any local and absolute extreme points and inflection points. Graph the function. -3 tes of th...

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Q: Write down the first five terms of the following recursively defined sequence. a1 = -5; an+1= -2a, +...

A: Given sequence is  an+1=-2an+5with a1=-5To find the first five terms:  

Q: Write a formula for the nth term an of the sequence and determine its limit (if it exists). It is un...

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Q: 2x 入t]

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Q: Find the limit of lim 7+8x+9x4 x4

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Q: You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into ...

A: We need to find length of wire that will be bent into square.

Q: x^2(lnx-lny)dy=y(ylny-ylnx)dx

A: Explained below 

Q: Eliminate the arbitrary constants b2 x2 - a2y? = a²b? %3D |

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Q: Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2) = 31.

A: This question is related to function and their derivatives.

Q: 873 4x) da

A: topic - indefinite integral

Q: л3 160х - 3x? - 2ху- 2у? + 120у -18

A:

Q: if y=6x^5, then dy/dx=

A: We know that; The Power law: ddxxn=nxn-1 And a.f'=a.f' Given: y=6x5

Q: find the equation of y where dy/dx = 3x + 5 and y= 6 when x = 0

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Q: Eliminate the arbitrary constants b^2 x^2 - a^2 y^2 = a^2 ^b2

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Q: y" + yW – 9y" – 13y" + 8y' + 12y = 0

A:

Q: OBTAIN A FAMILY OF SOLUTION 2. (x - yny + y In x ) dx + x CIn y - In x)dy =0 3. [x - yarctan (y/x)]d...

A: This question is related to differential equation.

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e*- cos x and passes t...

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Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 s- 5 20 1 2. s+3 5s -3 6s-5 3...

A: Given : 1)  L-1{2s-1s+9+4s-5}2) L-1{20s+3+15s-3+7s6}   NOTE: Since you have asked multiple questions...

Q: In Exercises 7- 12, functions z = f(x, y), x = g(t) and y = h(t) are given. dz (a) Use the Multivari...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: 1. Evaluate (b) (-2+ j6) - (3- j2) and show the results on an Argand diagram. (a) (3+ j2)+(5- j) and

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Q: edxte*

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Q: O convergent O divergent

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Q: Determine the equation of the curve whose tangent line at any point (x, y) is e*- cos x and passes t...

A: The curve whose tangent line at any point x,y is ex-cos x and passes through 0,4

Q: what is the differential coefficient of x.

A: To find differential coefficient of x we need to differentiate x with respect to x.

Q: Find the exact cause of each expression

A: To find the exact values of the given expressions.

Q: Suppose 16 1 4 a4 = 1 4 a1 a2 аз a5 1 6. 2 3 5 6. a) Find an explicit formula for an: b) Determine w...

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Q: Let y3 - 4x = 2xy. Find d2y/dx2. Show work please.

A: