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Q: Find an equation for the level surface of the function f(x,y,z) = . 2 +z through the given point…

A: we do only first part of multiple questions (1)  f(x,y,z)=x2+y2+z2

Q: 2 Find the average rate of change of the function f(x)=x + 2x from x₁ = 1 to x₂ = 3. The average…

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Q: There are three possibilities when a line and a plane intersect in three-space. What are they, and…

A: Since you have posted multiple questions,  we are supposed to do only one question.  If you want…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: Given lim f(x) = 5 and lim g(x) = -1, evaluate: x-7 x-7 lim (g(x) In (4f(x) — 4)) = x-7 lim…

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Q: Evaluate the function at each specified value of the independent variable and simplify. (If an…

A: Given f( x ) = 3 - 2x   ,    x < 0          = 3              ,    0 ≤ x ≤ 1         = 2x + 1    ,…

Q: 5 A 8 B

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Here is the integral .

Q: Consider the following equation of a line. 4x + 2 = 0 (a) Find the slope and y-intercept (if…

A: Consider the following equation of a line. 4x+2=0 (a) To find the slope and y-intercept (if…

Q: Let be the angle between u and v. -=[ 3 ]- ~= [ ²-1²] U= Find cos(8). (Round your answer to four…

A: Given that u=20, v=-11

Q: Step 1 of 4: Find lim_ f(x). x--3- 10 10 5 -5 -10 y Enable Zoom/Pan 00 5 Tơ X

A: To find limx→-3- fx.

Q: Find all the second order partial derivatives of g(x,y) = x³y + 3 sin (y) + 3y cos (x).

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Q: Solve x3 + 3x2 - 4x=0. Enter the values below. Smallest value: x= Middlex value: x= Largest x value:…

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Q: a. Find an equation for the secant line through the points where x has the given values. b. Find an…

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Q: thats not telling me theta, or if the angle is obtuse, acute, or right.

A: Given that θ is the angle between u and vwhere, u=20 and v=-11As we know that(a) angle θ is acute if…

Q: Consider the following graph. y 10 5 JA -5 5 -5 -10 -10 10 X ℗ Use the given graph of the function…

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

A: Given that : r(t) = (3cos3t)j + (3sin3t)k. And 0 to π/3. We find the curve's unit tangent vector and…

Q: Let (i) g(x) = = (ii) (a) Evaluate each of the following, if it exists. (If an answer does not…

A: As per Bartleby answering guidelines if multiple sub part question are posted in single pic then the…

Q: Find parametric equations for the line. (Use the parameter t.) the line through (-8, 2, 7) and…

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Q: Consider the following. v=²(x²+1) ²/² y -1 40 30 20 10 2 3 4 5 Find the arc length of the graph of…

A: Consider the following. y=23x2+132 To find the arc length of the graph of the function over the…

Q: All of the functions below have a domain of all real numbers EXCEPT for one of them Which function…

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Q: Given that f(x) = 9x - 8 and g(x) = 6 - x², calculate (a) f(g(0))= (b) g(f(0))=

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Q: dp For the demand equation, use implicit differentiation to find dx dp dx || 1 13p² + 9p+ 4 = x

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Q: Use the graph of G shown to the right to find the limit. If necessary, state that the limit does not…

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A: given point is (7,3,1)and perpendicular to  4x-4y+4z=7we know parametric equation of a line…

Q: Let f(x) X→ 1- = (a) Find the following limits. (If an answer does not exist, enter DNE.) lim f(x) =…

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Q: Determine the average rate of change of the following function between the given values of the…

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Q: 8. Using Laplace transforms, solve d²y dt² 2 dy dt 3- - 4 = 3e2t, with y(0): = 1 and y(0) = 0 -

A: Note: Since the student has mentioned to solve question no. 8, so we are solving according to…

Q: Find the area of the sector of a circle with radius 4 centimeters formed by a central angle of π/4…

A: Given query is to find the area of the sector.

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: To show whether the given function converges or diverges.

Q: Find the area of the region bounded by the graphs of the function.f(x) = . Round your answer to…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Question 2 You want to use the tube method to find the volume of the solid obtained by rotating…

A: Given: use the tube method to find the volume of solid obtained by rotating about y axis the region…

Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converges. an =…

A: A detailed solution is given below.

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: To integrate: ∫x2+2x-25(x+2)(x+10)(8x-2)dx

Q: The distance of a particle from some fixed point is given by the following function. s(t)=t² +5t-4…

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Q: P(1, 0, 1), Q(-2, 1, 3), R(6, 2, 5) (a) Find a nonzero vector orthogonal to the plane through the…

A: Given;  P(1,0,1), Q(-2,1,3), R(6,2,5).

Q: Let F be the function whose graph is shown below. Evaluate each of the following expressions. (If a…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 13. Determine the dot product of the two vectors shown in the diagram. 4 -3 -2 4- 3- 1 ++ I 2 3 4…

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Q: find the following. (a) the average rate of change of f on [2, 5]: (b) the average rate of change of…

A: Given query is to find average rate of change.

Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

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Q: Let r(t) be the rate at which a swimming pool is being filled with water, measured in liters/minute,…

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Q: Suppose that f(x) = 18x²-3x. (a) f'(x) = (b) The slope of the graph of f(x) at x = 4 is (c) The…

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Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x2y=x2. Find a…

A: Here we have to plot the graph through transformation.

Q: Given that 1. lim[f(x) + 3g(x)] = 2. lim[ƒ(x)]² x find the following limits. If a limit does not…

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Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A: y=f(x)=x2+xat x=1 , x=4 (a)  equation of secant line is y=mx+c,  where m is slope

Q: The total profit function for a ghost busting business is given by P(x) = -x + 160x490 dollars when…

A: Given: For (a), The total profit earned for busting 75 ghosts will be,…

Q: Let f(x) = 4x 5x +6 Compute the difference quotient for f(x) at x = 2 with h = 0.2. (Round your…

A: f(x)=4x5x2+6difference quotient=f(x+h)-f(x)hf(x+h)=4(x+h)5(x+h)2+6

Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (-5, 2,…

A: Topic - Parametric equation of line We are given A line passes through the points (-5,2,5) and…

Q: BoxedNGone truck rentals calculates that its price function is p(x) = 200-2x, where p is the price…

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Q: Find the area of the surface generated by revolving the curve about they-axis. y=81-x²,05x59

A: Given :y=81-x20≤x≤9about y-axis