For the next six questions, consider the differential equation: y/" + 4y = g(x), g(x) # 0

Q: 5. (2xye*³y + y²e*y² + 1)dx + (x²e*²y + 2xye*y² – 2y)dy = 0

A: Recall: If the equation Mdx+Ndy =0 is exact i.e,∂M∂y=∂N∂x , then the solution is                 ∫y ...

Q: 11T find the reference angle 0'. Give only exact answers, and type pi for 7 if needed. Do NOT 3 If 0...

A: Topic:- trigonometry   

Q: 1.) f(x) = 1- 2x at a point where x = -3 2.) f(x)= 5x + 12x? - 7x at a point where x = 1 3.) f(x) = ...

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Q: [5] 0 v2 = 9 v1 2 V3 4 -81

A: The given vectors are ; v1=5 , v2=7 , v3=9       0.       2.         4       0.        -6.       -8.

Q: Section 3.1 p. 271/273 # 62 62 A particle moving along a straight line has a velocity of v(1)=te aft...

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Q: Select all that apply. Solve the following equation; domain 0° g x< 3600; 4 sin?e = 1 M 30 210 V 330...

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Q: cos( + B) = O V2(cosB + V3sinB) V3(cosB - V2sinB) O V2(cosB - V3sinB)

A: Value of Cos(π/3 + B) will be

Q: Find the exact value of the following trigonometric expression: cot y- csc y = Basic Funcs Trig

A: We can find the answer as below.  

Q: Recall how to identify the limit and exact value of each function givenc using a graph. Given the gr...

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Q: solve the differential equation: y(2xy+1)dx+x(1+2xy-x3y3)dy=o

A: Given diffrancial equation y2xy+1dx+x1+2xy-x3y3dy=0Solution :y2xy+1dx+x1+2xy-x3y3dy=02xy2dx+ydx+xdy+...

Q: Pennstase 2) 2Determine whether the given sequence converges or n2+ 1 ldiverges. If it converges, ca...

A: The objective is to determine whether the given sequence converges or diverges .

Q: SvX (n x dx

A: Let I=∫xlnx2dxApply integration by part.I=lnx2∫xdx-∫∫xdxddx(ln(x))2dx I=lnx2x12+112+1-∫x12+112+12ln(...

Q: What is the second derivative of f(x)=x^2lnx

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Q: Which graph shows the function f (z) = tan z? 2- 0. 2x -1 12 4 3 2 -1 -2 Cunpy

A: Topic:- trigonometry   

Q: sin x 3. Vcos x

A: To evaluate: I=∫0π2sin5xcos x3dx=∫0π2sin4x(cos x)13sin x dx=∫0π2(sin2x)2(cos x)13sin x dx=∫0π2(1-cos...

Q: solve the differential equation   x(4ydx+2xdy)+y3(3ydx+5xdy)=0

A: Given that the differential equation is    x(4ydy+2xdy)+y3(3ydx+5xdy) = 0 

Q: Question Select your answer. If f(x) = cos z, and g(x) = 5 f(2), does lim g(x) always No, because f(...

A: Given problem:- if f(x)=cosx and g(x)=5-f(x) does limx→cg(x) always exist for any real number c?why?

Q: 19. DETAILS LARAPCALC10 2.6.030. Find the higher order derivative. f"(x) = 6x2 + 3x - 14 %3D F(5)(x)...

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Q: 1. Write the first five terms of the sequence п а) а — 3" п b) а, = sin п c) a̟ = (- 1)'(÷) (– 1)***...

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Q: y In(x) ln(y)dx + dy

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Q: 1. (2x³y² + 4x?y + 2xy² + xy+ + 2y)dx + 2(y³ + x?y + x)dy = 0 %3D

A: note : as per our company guidelines we are supposed to answer only one question. Kindly post other ...

Q: Find the average value of f (x, y) = 4x cos(wy) over the rectangle R = {(x, y) | 0 < x < T, 0 <y < 2...

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Q: Find the critical point(s) of the function. S(x, y) = 4e²-}+4y

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Q: Find the​ curve's unit tangent vector.​ Also, find the length of the indicated portion of the curve.

A: Given that      r(t) = 6t3i + 2t3j + 3t3k  , 1&lt;=t&lt;=2 

Q: A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equ...

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Q: 5. csc 4x dx

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Q: =sec (Xty)

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Q: x2+1 2²+1 dx = 0 xe"dy +

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Q: 1)) The point H(2, 6) is reflected over the x-axis. What are the coordinates of the resulting point,...

A: The given point H(2, 6)

Q: Determine the standard equation of the ellipse that satisfies the given properties: 16 3, horizontal...

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Q: 3 -dx 4 - x

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Q: Consider the following function and point. f(x) = x3 + x + 9; (-2, -1) %3D (a) Find an equation of t...

A: We can find the equation of tangent line to the graph as below.

Q: 75 ft A pole stands 75 feet tall. An angle 0 is formed when wires of various lengths of r feet are a...

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Q: Find dy by implicit differentiation and evaluate it at the given point. dr tan (9x + 5y) = x, (0,0) ...

A: We know that; The chain rule; fgx'=f'gx·g'x The Power law; ddxxn=nxn-1 And ddxtanx=sec2x   Given: ta...

Q: Determine the standard equation of the ellipse that satisfies the given properties: foci at (-4, 0),...

A: Given that, Foci of an ellips are = (-4, 0) and (4, 0) And the ellips passes through the point (3, 1...

Q: Given: sin a= in Quadrant I and cos B= - 13 in Quadrant II; evaluate the following expression sin(a ...

A: We can find the required correct answer as below.

Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find d...

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: 28 V14

A: 28√14 

Q: Use technology to evaluate the given expression. Take 1.3 7.3 5.7 and B = 5.3 0 1.6 -2.34 A = \ 44.9...

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Q: 10. J(3x3 — 5х + sin3x) dx -

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Q: Va – V34 - lim x → 34 34 - (Use calculator and write your final answer in the given box)

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Q: Question Select your answer. A certain radioactive element decays according to the 39.60 formula R(t...

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Q: JUIR tO JusLily your aASWers. Witë your solutions properly, heatly, and carefully answers as much as...

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Q: equation of the curve at every point of which the tangent line has a slope of -e-².

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Q: solve for nonbermagnenous dilkeremrial equation . 4x

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Q: In the previous step we determined that [(t - 2)°] = 35t°(t' – 2)4. Use this to complete the derivat...

A: Given query is to find the derivative of the expression.

Q: The deviation of each observation (y) from the mean of the response variable is negative for every p...

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Q: 2.5.042. Find the derivative of the function. s(t) t2 + 8t-5 %3!

A: Topic:- derivatives

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =x° +x - 2x + 12 has a real zero...

A: The objective is to find the correct option.

Q: The deviation of each observation (y) from the mean of the response variable is positive for every p...

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