Question Find the average value of f(x) = 5 cot (x) csc (x) - 2 over the interval [] Submit an exact answer using fractions and/or roots if needed. Sorry, that's incorrect. Try again? The average value of f(x) is 30 xv 3 (2- 3 2

Q: Find the divergence of F(x, y, z)= x î+y³ ₂² 7 +xz³ k. O1+3y²z²+3xz O1+3y²z²+3xz² 01+3y²₂² O 1

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Q: Estimate the area under the graph of f(x) = rectangles and right endpoints. Rn = Repeat the…

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Q: 1 1+exte -X dx

A: Yo evaluate the integral.

Q: Calculus

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Q: Consider the following vector function. 1, 12², 1²) (a) Find the unit tangent and unit normal…

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Q: 2π 21/17 10 Th 7/1xsin nx dx 2π I need to solve the integration in a table or zero method, a…

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Q: Consider the function f(x) 12x5 + 45x4 - 80x³ +3. f(x) has inflection points at (reading from left…

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Q: company

A: Please refer to the image below

Q: nsider the function f(x) = 6√√x +9 on the interval [1, 8]. Find the average or mean slope of the…

A: We have to solve the question for finding the slope

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A: The area of a rectangle is increasing at a rate of 4 cm/sec ? while the width of the rectangle…

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Q: area is given by the function x^0.5+y^0.5=1

A: We have to find the area of given function.

Q: fxsinxdx O xcos(x) -In sin(x) + C ○ -xcos(x) + sin(x) + C O xcos(x) + sin(x) + C O xcos(x) - sin(x)…

A: Topic = Integration

Q: Write the sum using sigma notation: 9 +13 + 17 +21+ A = B = A + 45 = ΣΒ, where n=1

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Q: State the word that completes the following statements correctly. 1. The graph of f is increasing…

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Q: Consider the following function. f(x)=√x-9, x> 9 What is the domain of f? (Enter your answer using…

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Q: Q1) B- IF f(x)=√4-x, g(x)=x², Find : fog(x) draw them & determine (domain ,range). 9 gof(x),Then

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Q: 14. The solution of the differential equation: (D - 2)³y = e²x is k a) y = (₁ + C₂x)e²x + xe²x b) y…

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Q: Find the vector v whose initial and terminal points are given below. (5.5,2.1), (9.5, 6.1)

A: Recall: The vector v with initial point (x1,y1) and terminal point (x2,y2) is, v=x2-x1, y2-y1 We…

Q: 8] n=1 1 n√n +1

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Q: 5. Solve the differential equation dy 4t dt y² + t²y² = subject to the initial condition y(0)=2.

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Q: = 4 cost, Use an integral to find the area of the region bounded by the curve x = y=5sint, 0≤t≤2π.

A: SOLUTION-

Q: Consider the function f(x) = 6√x + 9 on the interval [1, 8]. Find the average or mean slope of the…

A: mean value theorem

Q: (10 sin(x-sin(x-dx 6 2 (Ans: - sin(2x-2) + 5 x + C)

A: Given, ∫ 10sinx-π6sinx-π2dx

Q: Determine whether the differential equation is exact. If it is exact, find the solution. (7x² − 2xy…

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Q: Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x)…

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Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 2) is twice…

A: Let    P(x,y,z)  be the general point  A( -2, 5, 2)  and  B(6, 3, -3)PA=2PB Recall

Q: Which of the following is not a unit vector? 2 A. • (-3/35.0,-/) √5' √5 B. (cos 1, sin 1, 0) C. (1,…

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Q: Consider the function f(x) = 2x³ 12x² 30x + 7 on the interval [-4, 7]. Find the average or mean…

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Q: Which of the following is the vector projection of (1, 0, 1) onto (-2,4,0)? 1 B. (-1,2,0) C.…

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Q: Using the following graph of the function f, evaluate the limits (a) through (i). 10 8 Ay 2- of X 10…

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Q: incorrect

A: To find dy and to evaluate when x=-5 and dx=0.4 for the function y=2x4-45x+1.

Q: Which do you think will be larger, the average value of f(x, y) = xy over the square 0 ≤ x ≤ 1,0 ≤ y…

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Q: 23. The distance from a point (2, y) to the line 4x + 3y =0 is equal to 5. Find the value of y. O…

A: Given that the distance from a point 2,y to the line 4x+3y=0 isequal to 5. We need to find the value…

Q: 2π 12171710727 17/1xsin nx dx 2π I need to solve the integration in a table or zero method, a…

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Q: Write the integral in terms of u and du. Then evaluate. [x√97 (Use symbolic notation and fractions…

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Q: The area of the region to the left of the parabola x=2y^2, to the right of the y-axis, and between…

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Q: Evaluate the following integral. Sxe 13x dx Let u=x². Use the integration by parts formula to set up…

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Q: If f(x) = 4 cos(2 ln(x)), find ƒ'(x). Find f'(5) rounded to 3 decimal places.

A: Given function f(x)=4cos(2ln(x))

Q: -2 1. Ella thinks that if a function is positive over an interval, then its derivative is also…

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Q: 10) Let g(x) = f(t)dt, where y = f(t) is the function whose graph is given below. Find g(2), g(3),…

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Q: Find an appropriate elementary matrix for each of the following transformations: 1 2 1 2 2 4 1 2 •-)…

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Q: 3. Determine the point(s) where the function y = ₁ , has a maximimum and/or a minimum. Find BOTH…

A: Determine the point(s) where the function below has a maximimum and/or a minimum. Find BOTH…

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. 4x -…

A: we use the maclaurin series of sin x to find the maclaurin series of the given function

Q: a Using the figure of f(x) above, determine the signs (positive, negative, or zero) of y = f(x),…

A: to find out the signs of f(4), f'(4) and f"(4).

Q: Find the slope of the tangent line to the curve - x² – 3xy + 3y³ = at the point (1, − 3). - 91

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Q: Graph the function. What symmetries, if any, does the graph have? Specify the open intervals over…

A: Topic = Function

Q: Find the gradient of the function f(x, y) = sin(x + 2y) O cos(x + 2y) [2î+î] cos(x + 2y) [i+1] O…

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