F (x, y, z) = x²yz² – 3xy°z + 2y°z²

Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

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Q: Find the arc length of the parametric curve. x = e', y = et, z = v2t; 0<t < 8 L ||r'(t) × r"(t)||…

A: Given parametric curve x=et  , y=e-t  , z=2 t   ;  0≤t≤8

Q: Find the derivative of the function described. (Rx5) 4х-2 5. у 3 3x+4

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Q: Calculate the iterated integral. 36 9. )dy dx + 1

A: Given problem:-

Q: dy 2, find dt da when I = 1 dt x and y are functions of a third variable t. If V + /T 4 and |3D %3D

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Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

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Q: Suppose that the velocity v(t) (in meters per second) of a sky diver falling near the Earth's…

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Q: Choose which of the following is the EXACT value for the area bounded by y = e" and y = -e' on the…

A: The region is bounded by y=ex and y=-e-x on the interval 1≤x≤2

Q: 2 2 Write the equation in polar form: x + y = 225 %3D

A: Given,               x2+y2=225

Q: 13. Find the inverse of A= 1 1 Use any method. Show your solution. 0 2 3 55 1J

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Q: Find the derivative of the function described. (Rx5) 1. y = (2x + 3) (5x – 4)

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (9, 5)…

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Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

A: The given function is;  f(x)=-6x/(6x2+8).

Q: State the definition of the interval of convergence of a power series. Find the radius of…

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Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

A: f(x)=x3-16x+2    ;  [0,4]

Q: The limit of a constant is always a constant. O FALSE TRUE

A: To proof the limit of a constant is always a constant. Let the function fx=k, here k is a constant

Q: 2. Determine if the given sequence converges or diverges. If it converges, what is its limit? (a) {…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Compute the first four partial sums S1, .., S4 for the series having n th term an starting with n =1…

A: In this question we have to find partial sum.

Q: Find the direction cosines and angles of u and show that cos a + cos B + cos y = 1. (Round your…

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Q: Step 2 6i If x = -2, then each x = -2 + jAx = -2 + 6i Step 3 Using (1 + 3x) dx = lim (1 + 3x,) Ax,…

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Q: 2. Consider the graph of the function f(x) = va – 2 where x 2 2. 2.a. Identify whether the function…

A: We have to check continuity of the function

Q: Find the derivative of the function described. (Rx5) 3. f (x) = (1 +x + x² + x³ )'³

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Q: Find the diameter of the circle 4x? + 4y² + 24y – 4x – 35 = 0. B. 6V2 C. 3V6 A. 6V3 D. 3/2 E. None…

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Q: The radical center does not existif the circles are concentric TRUE FALSE

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Q: 5x2 + x + 16 dx x3 + 4x 9)

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-5, 7,…

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Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Rownd your answer to two decimal places when…

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A: Given,  Initial point: (3,2,0)  Terminal point: (4,1,8)

Q: Problem: 2 a. Find all the asymptotes of the following functions 4x* + 4x3 + 12x2 + 6x – 24 6x* + 8x…

A: We need to find asymptote of the given function.

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

Q: Consider the function y= >x3 – 9x + 4. a. Sketch the graph of y= x3 – 9x + 4. b. Find and describe…

A: Let's find.

Q: Question For the function f(x), whose graph is shown below in blue, find lim f(x). The red vertical…

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Q: 4. S ( 12 x³ + 15 x - 20 ) dx 5. S 10 x2/5 dx 6. § 3 ³V x8 dx 7. S ( 8 + 2 dx x3 x4. 8. S ( 2x³ -…

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Q: dy = 3 , find dt dx when x = 1 dt x and y are functions of a third variable t. If Væ + Vỹ = 4 and

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Q: Find the following. (0, 1), v = (5, -5) (a) lu|| (b) v|| (c) ||u + v|| (d) (e) ||v|| u+v

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Q: Question Evaluate the following limit using L'Hospital's rule. 168 2.x lim X12 [5x2 - 85x + 300…

A: topic - limits

Q: A racecar travels northward on a straight, level track at a constant speed, traveling 0.750…

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Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = -9 plane,…

A: Let's find.

Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = Vx+vy The domain of…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Here, the required plane is perpendicular to the vector n=-2i+8k.

Q: Verify that the two planes are parallel. -x + 6y + 2z = 4 -*+ 3y + z = 5 Find the normal vector, n,,…

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Q: Suppose that f is a function given as f(r) = - 2² +2x + 4. Simplify the expression f(x + h). f(x +…

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: an=nqen limn→∞an=limn→∞nqen = 0 [when x tends to infinite ax&gt;xa (where a is positive constant)]…

Q: ピ+5 1 lim t一+0|5t2 +6'2t (?, ?)

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, -7) and the vector component of v…

A: Given,            V= &lt;4,-1,7&gt;            b =&lt; 4,4,-7 &gt;

Q: 7ェ +8 If f(x) = find: 4x +3 f'(x) = !! f'(4) =

A: The objective is to find f'(x) and f'(4).

Q: Given f(r) = 7T, find f'(1) using the limit definition of the derivative, f(r + h) - f(x) f'(x) =…

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Q: 11. y'+3y = 3x2e-3x %3D

A: