Find the average value of f(x) = over the interval [2, 5]. (3x2 + 2)? Enter the exact answer. fave = %3D

Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

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Q: Figure 1: Continuous and differentiable Figure 2: Continuous but not differentiable Figure 3: Differ...

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Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function. a. { (x,y,...

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Q: Determine the function of the following graph. 2 -6n/5-4n/5-2/5 25 4n/5 6n/5 8n/5 2n 12n/514n/516n/5...

A: Here we have to determine the function of the given graph.

Q: Find the area bounded by the curve xy 2 and the line x+y%3D 3. A. 0.17 sq. units B. 0.11 sq. units C...

A: Let's find. 

Q: Find the maximum and minimum values of the function f(x) = In(x) on the interval [1,6] by comparing ...

A: The given function is: f(x)=ln xx

Q: Graph the function and find its average value over the given interval. a. g(x) = -|x| on [-1,0] b. f...

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Q: The table to the right shows the electricity rates charged by Better Than Lightning Utilities in the...

A: Find your answer below 

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: Sketch the region bounded by the graphs of y = v1-x, y 1-, and y = 0. Find the volume of the solid o...

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Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. La |(1- l2) dx а. -1 3/2 (-...

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Q: Your answer is incorrect. If L is a line in 2-space or 3-space that passes through the points A and ...

A: Explained below 

Q: f (x) | f'(x) g(x) | g'(x) -1 -7 16 -4 4 -2 1 -1 1 -1 3 10 11

A: Let's find. 

Q: Given f(x,y) = 3x sin(2xy).  Find fx(3,3). Give you answer correct to two decimal places.

A: The objective is to find fx(3,3).

Q: There are 6 different English books and 6 different Filipino books. In how many ways can the books b...

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Q: Find all the eigenvalues (real and complex) of the matrix A= [1   2]      [-3  -1]

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Q: Express the sum using summation notation. Use the lower limit of summation given and k for the index...

A: We have to calculate summation

Q: Evaluate and simplify the integral +x+3 ad +6xª +9 °

A: This is a problem of integration. Based on the general formula of partial fraction decomposition we ...

Q: Find the equation of the tangent line to the graph of y(z): Equation of the tangent line is y (1-4(3...

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Q: Compute the volume bounded by y = x² – 2x and 3y + 2x? – 27 = O when it is revolved around the y-axi...

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Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a ro...

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Q: dx Integrate: J. 3n B. A. EIN

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Q: 11. Use the Shell Method to calculate the volume V of the solid obtained by rotating the region unde...

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Q: C. How long is the ball in the air? i. Describe how you read that off the graph ii. Describe how you...

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Q: Determine if the following statement is True or False. If the statement is true, provide an explanat...

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Q: 2x + 1 ds x2-7x+ 12 A. -7ln]x-3|+ 9ln|x-4| +C B. 7ln/x + 31 + 9ln/x+ 4| +C c. -7ln]x+3|- 9ln]x + 4| ...

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Q: Find the gradient of the function at the given point. f(x, y) = 5x + 3y2 + 5, (4, 1) Vf(4, 1) =

A: f(x,y)=5x+3y2+5 fx(x,y,z)=5fy(x,y,z)=3(2y)=6y∇f =fx(x,y,z) i +fy(x,y,z) j

Q: Solve for the Linear Differential Equation: y' - y = e^x

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Q: (1-cos 6x)dx Perform the integration:S 1+cos 6x tanx - x +C c. tan3x – x+C A. -tanx – x+C D. tan3x –...

A: We have to choose correct option

Q: In the method integration by parts we assign a value of u that is easy to differentiate and a de tha...

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Q: For the following series, test for convergence by the ratio test. 1 1 (-1)"n + (-1)"-1(n + 1) - ... ...

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Q: Suppose the Sunglasses Hut Company has a profit function given by P(q)=−0.03q2+4q−46P(q)=-0.03q2+4q-...

A: This question can be solved using the concept of maxima and minima.

Q: If the integral contains v(x^2 - a^2), the best trigonometric substitution to be used is A. let x = ...

A: Solution is written in below steps.

Q: Approximating Area with the Midpoint Rule In Exercises 67–72, use the Midpoint Rule with n = 4 to ap...

A: Given: f(x)=x2+3Interval:[0,2]n=4

Q: Determine the area bounded by the curve y-9x/5 and the line y=x-2 A. 3.43 sg. units B. 6.86 sg. unit...

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Q: Express the repeating decimal as a fraction in lowest terms. 62 0.62 = 100 62 62 + +... 10,000 1,000...

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Q: Solve for the Linear Differential Equation: y' + y = 1

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Q: The functions f and g are continuous and differentiable with f (x) = g(x). Selected values of the fu...

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Q: Michael needs Php 10,000 for the renovation of their house. If he will apply for a discounted one ye...

A: Simple interest(I) of principal amount P, with rate of interest r% for t years is given by, I= Prt/1...

Q: Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show tha...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 49 dx

A: Find your answer below 

Q: If $1500 is invested in an account at an interest rate of 2.0% per year, find the amount of the inve...

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Q: Let a = ci + jand b = 16i + 12j. Find c so that the angle between a and b is- 6° Round your answers ...

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Q: Determine the area bounded by the curve y-9x/5 and the line y=x-2 A. 3.43 sg. units B. 6.86 sq. unit...

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Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: ∫xn dx = xn+1n+1+C

Q: d all points on the graph of the function f(I) = 2 sin z + sin z, 0 <I< 27 at which the tangent line...

A: Given query is to find the points where tangent is horizontal.

Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

A: Let's find. 

Q: the other a calculator approximation rounded to two decimal places. (a) log6(x) = -2 X = (b) In(x) =...

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Q: Evaluate sin2(x) cos*(x) xdx A. 32 32 C. в. D. - 32 O D

A: We have to find solution of given integration of trigonometric term having even power on sine and co...