Y1 = (x – 3)3 Y2 = x – 3 dx y 1.5| 1.0 0.5 1 2 4 -0.5 -1.0 -1.5F

Q: Prove using vectors that the points represent the vertices of a triangle then (1) Find the area of t...

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Q: Find a plane through P0(2, 1, -1) and perpendicular to the line of intersection of the planes 2x + y...

A: Given information:- Find a plane through P0 (2, 1, -1) and perpendicular to the line of intersection...

Q: y" – 2y' + y = ex x5 when y(0)=1; y'(0)=2

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Q: Q1. Evaluate the integral, xy dv ху dV E where, E lies between spheres x? + y? + z? = 1 and x? + y +...

A: According to question,Given E lies between spheres,x2 + y2 + z2 = 1,andx2 + y2 + z2 = 2,for z≤0,

Q: Solve for x. Round to the nearest tenth of a degree, if necessary. 4-9 M 7-5

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Q: Solve for æ. Round to the nearest tenth of a degree, if necessary. C 48 27

A: We have to find the value of x.

Q: Е. INVERSE D-OPERATOR 1. (D³ + 4D² + 5D)y = 20e-5x ||

A: We have to find

Q: (13) Find the cosine of the angle between the given vectors. (13a) (3, 1, 1) and (2, –4, 2) (13b) i ...

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Q: Зп + 6ni ) lim n0 |2+ 3i|n

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Q: What is the relationship between the lines L1 and L2 where L1:x = 1 + 7t , y = 3+ t, z = 5 – 3t L2:x...

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Q: The plane through the point A(2, 10, 8) perpendicular to the vector from the origin to A.

A: The plane is passing through the point A(2, 10, 8) and it is perpendicular to the vector from origin...

Q: Suppose (a, b) is on the boundary of the domain of f. Explain how you would determine whether lim (x...

A: Given : (a, b) is on the boundary of the domain of f  

Q: (1) What is the relationship between lines 11 and 12? where 4:x = 2, y = 1+ 2t, z = 1+t L2:x = 4-t, ...

A: 1.  L1 : x=2, y=1+2t, z=1+tL1 : x-20=y-12=z-11⇒a→=(2, 1, 1), l→=(0, 2, 1) and  L2 : x=4-t, y=1+t, z=...

Q: اجب عن السؤال - ODE dy _ (x² + y²) dx x2 Y + x²y = c x² + y²x = c 3 x2 +y?x = c 3.

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Q: 2 and P is in quadrant II, then 3' The point P is on the unit circle. If the y-coordinate of P is

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Q: Q/ Drive the Taylor series for: (X — 1). е* пеar X 3D 1 |

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Q: Question 2 a) Find the work done of particle moves along a curve C by the force, F(x,y) = (y – 2z, x...

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Q: Prove using vectors that the points represent the vertices of a triangle then (1) Find the area of t...

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving...

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Q: 15 F(s) = 5s –1

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Q: Evaluate the definite integral. (Round your answer to three decimal places.) dx x/16x² - 5

A: ∫161x16x2-5dxSubstitute u=16x2-5 →dudx=16x16x2-5→dx=16x2-516xdu=∫1u2+5duSubstitute v=u5→dudv=15→du=5...

Q: (1) What is the relationship between the lines L1 and L2? where L:x = 1-t, y = 4 +t, z = 2+3t L2:x =...

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Q: Find the area of the triangle and its type "А(1,-2, -2), В(-2,1,-2), С(-2,-2,1)

A: Given- A1,-2,-2, B-2,1,-2 and C-2,-2,1 To Find- The area of the triangle and find the type of triang...

Q: Is there a straight line that passes through the points? P; (2,0,1), P2(3,–2,0), P3(1,2,2)

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Q: A 50 mg sample of thorium-233 decays to 44 mg after 4 min. a) Determine the half-life of thorium-233...

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is ...

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Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = -x³, fa + h) –...

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Q: 4. Find all the second-order partial derivatives of f(x, y) = 2ry In(r+ y).

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Q: Consider the Tollowing equations. y = -x² + 2x+ 5 y = -x+ 5 Sketch the region bounded by the graphs ...

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Q: Sketch the graph and find the area of the region that lies inside r = 3 + 3cos0.

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Q: Find the gradient of the function f = xyz-4y2z. Visualize

A: Given query is to find the gradient of the function.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integra Y, = ...

A: Given: y1=x2+2x+5y2=2x+30

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral Y, =...

A: Here we have to write the definite integral that represents the area of the region.  We have, y1=x-1...

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving...

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Q: Use the method of Lagrange multipliers to find the maximum value of f (x, y) = 9x2 + 36xy – 4y? – 18...

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Q: С. REDUCTION OF ORDER AND VARIATION OF PARAMETERS 1 1. (D² + 8D + 16)y 1-e4x

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Q: What is the relationship between the lines L1 and L2? where L7:x = 1+t , y = 3, z = 1- 3t L2:x = 4 –...

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Q: The following table shows the daily receipts in millions of dollars of the movie. “The hunger games”...

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Q: 2s – 1 | 10.) F (s )= s² + 6s + 34

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Q: (2) Is there a line that passes through the points p3(3,0,1);P1(4,-1,-1), P2(2,1,3), ? Grandfather i...

A: The solution of the problem is given in the next step.

Q: Replace in third equation. x²y²z?=!

A: Given that:                          

Q: С. REDUCTION OF ORDER AND VARIATION OF PARAM 1. (D2 + 4) y = tan 2x

A:  We have to find out

Q: B) Show that the convergence or divergence of the following series cos(n) n(n + 1)' 1 n+ Vn n=1 n=1

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Q: xt -1+ T/2 3n/2 2n -2 -3- -4- -5 The graph of the function f(x) = sec x is given above for the inter...

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Q: 10 8.) F ( s ) = s² – 9s+ 25 S -

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Q: Find a parametrization for the line segment beginning at P1 and ending at P2. 25) P1(-4, –5, 4) and ...

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Q: Give information on this application of derivatives:  Optimization

A: Topic:- application of derivatives

Q: f the average value of f(x) = x on the closed interval [0, b] is equal to 27, what is the value of b...

A: Given query is to find the value of b.

Q: Find the volume of the solid that results when the region enclosed by 1 x² and x = 2y? is revolved a...

A: According to the given curves, the bounded region is shown below; Now use the cylindrical shell met...

Q: (1 + xe* kty + (ye* + yxe* + 2)dx = 0

A: