7. f(x)= = x² cos²x sinx

Q: 1. Find the values of x of the curve y x³ 3 24x where y'=y"

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Q: (3) Find the length of y = x² c on [0, 1] (ok to use Wolframalpha)

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Q: 2. A circular fishpond with a diameter of 15 feet is to have a 2 feet wide border of paver bricks.…

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Q: Solve for y 6y = 12/7 y = ? simplify your answer as much as possible

A: Given: The given equation 6y=127 To find the value of y

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A: Given: f and g be differentiable functions such that f'1=2 and g'1=6 hx=5fx-4gx+3x2-2 To find the…

Q: Q3/Use the Simpson's and trapezoidal rules with n=8 to estimate (+)dx and determine which rule is…

A: ∫04x1+exdx We know that simpson's 3/8 rule ∫abf(x)dx=38hy0+yn+3y1+y2+y4+y5....+2(y3+y6+...)

Q: In Exercises 15-20, use Theorem 8.2.4 to show the given se- ries diverges. 15. 16. n=1 n=1 3n²…

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Q: g(x) is a transformation of f(x) = √√. The graph of g(x) is shown below. +10+ 9 81 7 6 5 4 3 2 -1 7…

A: Given graph:-

Q: Identify whether the limits of the following does exist or not. If yes, find the limit and if not,…

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Q: Determine the domain of the given function x-2 g(x) = 2/7/7/²2 √x

A: To determine the domain of the given function.gx=x-2x

Q: 2) (y² cos x - sin x) dx + (2y sin x + 2)dy = 0

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Q: Q.1.A: Find the domain and range of each function (choose only two) G(t)= F(t)=

A: Given function : F(t)=43-t and G(t)=2t2+6

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Q: ) Let C be the curve y = 5x¹.5 where 1 ≤ x ≤ 4. (a) Find the length of C. (b) Find the distance…

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Q: y-1/10(e^(5x)+e^(-5x)), for x:[-4,4], about the x axis. Find surface area

A: Let's find surface area.

Q: Eliminate the constant: y=c₁e²+c₂e² 1

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Q: Find the given higher-order derivative. f(3)(x)=√x8, f(4)(x) f(4)(x) =

A: Given, f3x=x89

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: Topic = Volume

Q: Evaluate the multiple integral X COS [ f(1/4) y dy de sin(5/4) 2 Enter the numerical value accurate…

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Q: (5) Find a formula for arc length of y = 3t - 2 from t = 0 tot = x.

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Q: Use Hooke's Law to determine the variable force in the spring problem. A force of 250 newtons…

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Q: Q1/ Solve the following linear system using Gauss elimination method x+y+z=4 2x+4y-z = 10 2x-y-2z =…

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Q: slicing method to find the volume of the following solid base is the region bounded by the curve…

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Q: Identify whether the limits of the following does exist or not. If yes, find the limit and if not,…

A: Let's find limit by tabular method.

Q: Identify the type and determine the linearity of the given differential equation and also give its…

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Q: Find the vertices, foci and semiminor axis. 2 를 + 5/5 I 1

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Q: Course Messages Forums Gradebook Home > Fall22 - Math 1201 (calculus 1) 120066> Assessme Are You…

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Q: The slope of the tangent line to the curve y=2/x at the point (2,1) is: ___ The equation of this…

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Q: Use the following tables for f(x) and g(x), and just fill in the tables shown below: x 012345 y =…

A: Given: x 0 1 2 3 4 5 y = f(x) 5 5 7 9 11 12   x 0 1 2 3 4 5 y = g(x) 14 3 7 1 1 14

Q: A population of 580 bacteria is introduced into a culture and grows in number according to the…

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Q: Find the average rate of change of the function over the given interval. f(t) = 4t² - 3, [5, 5.1]…

A: Topic- Average rate of change of function over the interval and instantaneous rate of change. Note:…

Q: Evaluate the multiple integral T [¹+ cos(x - y) dx dy 2 1 1

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Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: 1. Consider the plane 2x +2y - 3z = 18. (a) Find a point that is not on this plane. (b) Find an…

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Q: 5. f(x) = (tanx + cosx) 4

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Q: Determine the point at which the graph of the function has a horizontal tangent line. (If the…

A: This question can be solved by applying the formula for calculating the slope of a line at a given…

Q: Consider the line L(t)=⟨4−t,−4−2t,−5−3t⟩L(t)=⟨4−t,−4−2t,−5−3t⟩. Then:     L is           to the…

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Q: .) y = 4x ³-2x+1 .) 9 8 = X 3.) √√x+2 X 2x+1 X+ 2 = 4

A: We have to find the whether the given is a rational function , a rational equation ,a rational…

Q: 3 tan x-2xy = c

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Q: 2. Find the equation y=x²-3x² of the normal line at a given point on the given curve. + 4 @ (2,8)

A: Solution: y= x4 -3x2 + 4  @ (2,8) dydx=4x3 - 6x  at x =2=32-12=20

Q: 2/3m=14/9

A: Given query is to find the value of m.

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Q: Let f(x) = (1 + 7x²)(x - x²). Find the derivative by using the Product Rule. f'(x) = Find the…

A: Given that fx=1+7x2x-x2Solution :product rule of derivative…

Q: 115 = S +3 (x+1) 8 dx

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Q: 1. For the given functions, state the range and find (f-¹)(a) using th ate formula for the…

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Q: there are 3 square roots of 0 when we work mod 45 give all 3 of them

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Q: The table of values was generated by a graphing utility with a TABLE feature. Use the following…

A: At the points of intersection, the graphs of the functions have the same values.

Q: A cold drink is poured out at 55°F. After 2 minutes of sitting in a 60°F room, its temperature has…

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Q: Use Convolution to solve inverse laplace laplace of a function: L"{3²²-1}

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: ²

A: Given that