5. Evaluate a. 3! ×4! 5!

Q: Solve the following and show the complete solution 1. Find the equation of the plane through (-3, 8,…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (–3,0,…

A: We need to find Parametric equation.

Q: 2. a) Find lim g(x), lim g(x) and lim g(x) x→1- x→1+ x→1 b) Find f(1). c) Is g continuous at x = 1?…

A: Follow the procedure given below.

Q: Find the distance between the skew lines: x = 9+ 6t, y = 5 + 6t, z = 7 – 6t x = 7 – t, y = 7, z =…

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Q: 5. Given the function as f(x,y)=\x² +y² then find the a) Rate of change of f at point P(1, ) in the…

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

Q: Which of the following is not a p-series? (A) 2 -4 n n=1 (B) n n=1 1 (C) ne n= (D) en n=1 8. 3.

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (2, 3)…

A:

Q: Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A: Let the three positive integrar are x, y and z

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: 4х-2 y = Зx+4

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: af Find a d () + In (). of the function f(x,y) = arccot and ду

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Q: Is S Gx² + 5x + C)dx = 3x + 5 correct?

A:

Q: Find parametric equations of the line through (-3,0, 4) that is parallel to 5i– 8j+k. x(t) y(t) =…

A: Parametric equations of a line passing through the point P(a,b,c) and parallel to the vector v→=…

Q: Part I x2-9 1. lim х>з х-3 -2. 2. lim х2+5х-6 X→1 х2—1 2x2-х-21 3. lim X→-3 9-х2

A: Note: students has mentioned only 3 question no so I solved accordingly

Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 27 –14a5 –30z² +36x –8 2y5 -2x+2 dy %3D dæ 27+15* –…

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Q: 6dz S(VE – )dt

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Q: 2. x = 3

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Q: n: - 4.r? with f'(x) = (x+ 2)2 r(r+8)(r – 2) (x + 2)3 8(7.r – 4) - f(r) = and f"(x) = %3D %3D %3D…

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Q: In the given integral below, what is the values of u and a? * dx V3 – x² – 2x - u = x + 1 and a = 2…

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Q: rection: Determine if the given function is continuous and differentiable at the indicated values of…

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Q: 5. y = 4x – x², x = 0 , y = 4 , revolved at y axis -

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Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x– y + z =…

A: This question is based on finding direction cosine using dot product as two perpendicular plane is…

Q: s+2 s(s-3) 25 s(s-2)

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Q: Find the remaining trigonometric ratios. 7 csc(0) = Зл < 0 < 2n 2 6 sin(0) cos(0) tan(0) = cot(0)…

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Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. Lj :x = 1 + 7t,…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: To use Lagrange multipliers to find the indicated exrema, assuming that x and y are…

Q: ne indicated function y, (x) is a solution of the given differential equation. Use reduction of…

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Q: A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8…

A: It is given that a projectile is shot from a cannon, the muzzle velocity is v0=500 m/sec at which…

Q: Find a formula for f'(x) and determine the slopef'(-5) for the following function. 6e f(x) - Te* + 6…

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Q: Answer the following questions. Show your complete solution. 1 Find the general form of the equation…

A: As per the company guidelines we are supposed to answer only first question.Kindly repost the other…

Q: 13. dx = + C 2 6.

A:

Q: -4x2 f(r): r(r+8)(r – 2) (x+2)3 8(7r - 4) (x+2)4 with f'(r) = and f"(x): (r + 2)2 ' a. Find the…

A:

Q: x = -Jy from y = 1 to y = 4

A: The objective of the question is determine the area bounded by the given function.

Q: 2y Find the directional derivative of f(x, y, z) = x + z at P(4,4, –3) in the direction from P to…

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Q: y = x°, y = 256 , y axis , revolved at y axis 3.

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Q: 20x at P(4,0) in the x + y Find the directional derivative of f(x,y) direction of Q(2, –1). NOTE:…

A: The expression for the directional derivative of the function f in the direction of u is:…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

A: This question is based on finding an equation of line as given that line is parallel to given line…

Q: Find X only using Crammers rule 2x+リ-「Z=D2 x2 -y +VZ 2 x? +2y +VN= 4

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Q: Examine the function f (x, y) = x3 − 6xy + y3 for relative extrema and saddle points.

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: The objective of the question is evaluate the vector.

Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Question 1 Given y = Va - 2Vr 2; Find y'. 1-Vオ-2 %3D 2(-2) 7 O (E) None of the choices Va-2-1 Oy =…

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Q: Find the directional derivative of f at P in the direction of a. f(г, у, 2) — гу + 2?; P(5, —4, 3);…

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Q: [2x/4 +x? dx

A: Here we have to integrate the given problem.

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, P(4,…

A:

Q: Two angles are supplementary. If 2 times the measure of one angle is 6 times the measure of  the…

A: This question is based on that supplementary angles sum equals 180 degree.