a) Using the methods of equations. 2x+2y + 4z = 18 x+3y+2z=13 3x+y+3z=14 (b) Gauss-Jordan, solve the following system of

Q: Q6) Determine if the following integrals converge or diverge. If the integral converges determine…

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Q: 7. Given: [x,y,z]= [1,-1,5]++[3,4,7], determine the symmetric equations for the line If (13,15,23)…

A: Explained below

Q: Let f(x) = { x - 2 7x 38 Find the following limits. lim f(x) = x→6- lim f(x) = = x→6+ lim f(x) = x-6…

A: This question can be solved using the concept of limits.

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Q: 5. ²+²=2xy 6. 2x + 2y + 2y' + 1 = 0 dy dy 7.

A: Solution is here

Q: Q2/Examine the following surface for maximum, minimum, and saddle points z = x² + y² + xy + 4x - 4y…

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Q: Find the extrema of the following function on the given interval, if they are any, and determine the…

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Q: Find 3rd derivative if ƒ'(x) = x³.

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Q: 3. Which vector is not normal to the plane x+2y-3z-4=0? a) [2,-3,4] b) [-1,-2,3] c) [2,4,-6] d)…

A: which vector is not normal to the plane

Q: Use Lagrange multipliers to find the shortest distance, d, from the point (1, 0, -2) to the plane x…

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). P(C) = 21²1 - 48 + ²P²H 2³k r(t) 3 (a) r(t) 3it…

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Q: An integral expression for the area of the surface generated by rotating the curve y=√x, 0≤x≤ 1…

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Q: y=24x dy/dx=_____? 2. Find the derivative of the following function. A=860(1.610)t A'=_____?…

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Q: Q2 Q1 Find the points of intersection of the polar curves r-cos = 0 and 2-cos -r=0

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Q: QuIf w=f(u, aw Prove that əx v) = cos uv, u = xyz ,v= 4(x²+y²) = 0 at the this point (x,y,z)=(1,1,1)

A: w=fu,v=cosuv, u=xyz, v=54x2+y2

Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

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Q: 3. Does the parametric equation r = (2,-5,2) + s(1,4,2)+(-2,-3,1), s,/€ R, and the vector equation…

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Q: For the function y = f(x) = x² − x + 5, x ≥ 0.5, find (ƒ˜¹)'(7) = dy y=7

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Q: Use synthetic division to find the function values. Then check your work using a graphing…

A: Use synthetic division to find the function values  f(x) = 3x5-4x4+3x3-3x+8 , find  f(18) and f(-3)

Q: Use the quotient rule to find the derivative of the function. 3t² - 1 g(t) 2t + 5 =

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Q: Determine whether the differential equation (7x+8) + (7y - 7)y' = 0 is exact. If it is exact, find…

A: To determine that the differential equation is exact or not.

Q: Q4/ 1- Evaluate: f/2fy sinx dy dx ди 2- If u = x² + ey² ,x= sin 2t , y = cost² find at

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Q: Determine whether the series converges. The series 8 k=1 13 15k

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Q: 1. (2xy² + 2y) dx + (2x²y + 2x) dy = 0, 2. + 6x) dx + (In x - 2) dy = 0, x y(1) = 3 y(e) = 1

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Q: Find the extrema of the following function on the given interval, if they are any, and determine the…

A: Follow the procedure given below.

Q: ind the angle between the vectors. (Round your answer to the nearest degree.) a = j + k, b = i +4j -…

A: Given query is to find the angle between the vectors

Q: b) Give the augmented matrix associated to the system of linear equations above. Answer: ab sin (a)…

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Q: QuIf w=f(u, v) = cos uv, u = xyz ,v= 4(x²+y²) dw Prove that = 0 at the this point (x,y,z)=(1,1,1) дх

A: Given : w=f(u,v)=cos uv   , u=xyz ,v=54(x2+y2)   To Prove: ∂w∂x=0   at (x,y,z)=(1,1,1)

Q: a. S ((e'+4)²-9)3/2 -dt

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Q: The statement (A + B) - (C' n B) = (A + C) is an identity. (Hint: draw a Venn diagram of the LHS and…

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Q: Explain how there exists an appropriate dot product technique for both Cartesian and Geometric…

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Q: The line segment x = 1 - y, 0 ≤ y ≤ 1 is revolved about the y-axis. Find the surface area of the…

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Q: Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) and…

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Q: State

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Q: Explain in words how to evaluate the derivative of function?

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Q: 2) Suppose the vector p is perpendicular to the vector q where p = 3í + 12j+ck q = -8 i + j + 3 k…

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Q: Which of the following gives the volume of the solid obtained by rotating the region R about the…

A: We know that the area of the curve y=f(x) , the X axis and the lines x=a ,x=b is revolving about the…

Q: Determine the values where the following function is discontinuous x² + x-3 2x +3 f(x) = if x+6…

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Q: find a rule which describes the given numbers in the sequence 2. 1.1/8, 1/27, 1/64, 1/125..

A: Here is the solution:

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. (Round your answer to six…

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Q: 13. Write the parametric equations of the line through the point P(-6, 4, 3), that is perpendicular…

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Q: Name the quadrant in which the angle 0 lies sin 0>0, cos 0 >0 The angle 0 lies in which quadrant?

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

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Q: 15. Given: Th: x+y+z=0 Find: the value of 'm T₂: x+2y+2z-1=0 That a line that lies on the plane 773:…

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Q: The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the…

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