c.flx|dx d. f (lxl-1)dx

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 3y and y³ = x with y…

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Q: The owner of a ranch has 2,400 yards of fencing material with which to enclose a rectangular piece…

A: Given:The owner has yards of fencing material, to enclose a rectangular piece of grazing land along…

Q: Find all points (x,y) on the graph of f(x)=2x²-3x with tangent lines parallel to the line y = 13x+1.…

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Q: Find all critical points of the function f(x) = x-² - x-³. (Use symbolic notation and fractions…

A: Need to find out the critical points for the given function.

Q: A company's total sales (in millions of dollars) t months from now are given by S(t) = 0.03t³ +0.5t²…

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Q: Find the distance from the point (0, 4, -1) to the plane 3x − 3y + 2z = 4.

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Q: Peter wishes to create a retirement fund from which he can draw $40,000 when he retires and the same…

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Q: K Find the volume of the solid generated by revolving the region bounded by y = cos x and y = 0,…

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Q: Given the equation y = 5 sin(3x + 18) + 2

A: we need to find out the horizontal shift.

Q: x²-x-20 18. Find the coordinates of the hole in the graph of f(x) = x² +7x+12 Hole:

A: Hole is at x=-4.Explanation:

Q: 4 •[x² x²√√√x² - 81 dx

A: The given integral

Q: (2) n=1 n²-2√n +1 1-n-3n²

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

Q: Find a function f such that Vf = 2e²x cos(5y)i - 5e²* sin(5y)j + z5k. f(x, y, z) =

A: The given gradient function

Q: Find a function f such that Vf = 2e²x cos(5y)i - 5e²x sin(5y)j + z³k. f(x, y, z) =

A: Given :-  = 2e2x.cos(5y)i - 5e2xsin(5y) j + z5kNow,

Q: ∞ xdx (x²+4)³/2

A: The given integral

Q: The probability of precipitation in a California city varies from a peak of 0.38 (38%) in January to…

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Q: Find the derivative. 2 y = 6x²e X

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Q: Find the vector equation for the line of intersection of the planes 4x - y + 3z = 1 and 4x + 2z = −1…

A: Given:equation of two planes To find:vector equation of line that intersects these planes

Q: Find the derivative of the vector function r'(t) = ( r(t) = ln(12 – t²)i + √11 +tj +2e-5t k > ID 9 9

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Q: The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the…

A: The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the…

Q: Use analytical methods to evaluate the following limit. 1 X+6 lim X--6* 1 √x+6

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Q: For which of the following points does one of the theorems given in class guarantee that the…

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Q: Find the volume of the solid obtained when the region under the curve y = 13 arcsin(x), x ≥ 0, is…

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Q: find the local maximum value of the function xy-x^2-y^2-2x-2y+4

A: The given function

Q: Compute the indicated quantity. (Round your answer to the nearest cent.) A $5,000 investment earns…

A:

Q: 1. Evaluate the limit, if it exists: lim a. 0 b. does not exist 2. Evaluate the limit: lim x-8+ a. 0…

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Q: Write the equation of a rational function that has: • one missing point at x=3 • one vertical…

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Q: Problem #1: In a murder investigation, the temperature of the corpse was 34°C at 1:30pm and 20°C 5…

A: we need to find out the time it took for the murder to take place before 1:30 pm.

Q: 13. The limit will never exist at a discontinuity. 14. The average rate of change is the slope of…

A: “Since you have posted multiple questions, we will provide the solution only to the first five…

Q: c. Σ.(1 + n)2 d. Σπo sin (k) e. Σīn, cos(πj)

A: we are expand the given sigma notation and find it's sum.

Q: Compute the length of the curve r(t) = (-8t, 3t — 8, —8t + 7) over the interval 0≤t≤8 L =

A: To compute the length of the curve  overthe interval .

Q: Describe the transformations necessary to transform the graph of f(x) into that of g(x). Write your…

A:

Q: minimum dimensions of a cylinder that can hold 1.5 liters of liquid?

A: The objective of this question is to find the minimum dimensions of a cylinder that can hold 1.5…

Q: a projectile is shot upward from the top of a 220-foot building with an initial relocity of 22-feet…

A: Height of building =220 footInitial velocity = -22 feet/sec

Q: Geometric series can be found by transforming f(x)= to series form using 1-x Maclaurin's series to…

A: The objective of the question is to understand why the geometric series represented by the function…

Q: Given the following Case 2 rational function, x²-x x² +1 q(x)= Identify the matching response for…

A: q(x)=x2−xx2+1 is the given rational function and we have to find the equation of horizontal…

Q: For the sequence defined by: a1 = 4 An+1 = Find: a2 = a3 = a4= 1 an - 4

A: For the sequence defined by To find .

Q: Verify the identity. 1 + cos(x) 1 - cos(x) - · cos(x) = 4 cot(x) csc(x) 1 1 + cos(x)

A:

Q: Evaluate 3+ at (1,0)=(5,5) for the function w(x,y) = 2y-y²; w(x,y)=zy-y²; x=U-v₁ y= uv

A:

Q: (3.) (a.) (Circle the correct choice) Which of the following vector functions describes a circle of…

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Q: Megawatts (MW) 2500- 2400- 2300- 2200 2100- 2000- 1900- 1800- 1700- 1600- 1500- 1400- 1300- 1200-…

A: The conditions for function increasing, decreasing or constantIf  then function increasing.If  then…

Q: Consider the following. sin(20) 2 - 3 sin(0) Use the substitution u = sin(0) to rewrite the given…

A: The given integral

Q: z = y² sin (3x) + 5y Calculate the derivatives. You do not need to simplify your answers. Əz dx 1.…

A: z=y2+7t,y=8st

Q: 2. Sketch the graph of f(x) = 3x3/2. Highlight the graph over the interval [2,3]. Now find the arc…

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Q: Find the limts of the following problems.  (a) an= tan^-1(3n/sqrt(9n^2+4))  (b) lim as n->…

A: (a). 4π​(b). 1Explanation:Step 1: Step 2:Step 3:

Q: (BC Topic) Which of the following infinite series converge? 2 1. Ž n = 1 II. n = 1 n ΣΕ Σ III. Σ n=1…

A: We have to check which series are convergent

Q: 17. Evaluate the limit, if it exists. Show work. x²-3x-10 limx-5 2x-10

A: To evaluate the following limit if it exists.

Q: apply either the Alternating Series or Ratio Test To solve for these series

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Q: The answer you gave, is not a option

A:

Q: #10-12: Use f(x)=3x¹+x²-14x²-4x+8 10. Determine the total number of roots 11. Use the Rational Zero…

A: 10) 411)±1,±2,±4,±8,±1/3,±2/3,±4/3,±8/3.12) 2, -2, -1, 2/3 are the actual roots.Explanation:Step 1:…