If the curve y= from (0, 0) to (3,9) is rotated about the x-axis, the integral that represents the area of the surface of revolution is ***√1+x²4x Select one: O True False 2.x 3

Q: b) Find the derivative f'(x) in the following cases. 5x+1 1. f(x) = 2x-1. 2. f(x) = 3. f(x) = csc x…

A: We will find the derivative of given function as shown below

Q: Sketch the ellipse: Find the center, vertices, foci, eccentricity, domain and range. (x+1)² (y-3)² +…

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Q: Consider the function f(x) = 2x³ + 6x² - 90x+5, -5 ≤ x ≤ 4. This function has an absolute minimum…

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Q: The function f(x) = 2x³ − 33x² + 60x + 8 has derivative f'(x) = 6x² f(x) has one local minimum and…

A: Explanation of the answer is as follows

Q: 1. Evaluate I = D xy dA, where D is the triangular region with vertices (0,0), (0, 1), and (1,1).

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: c) - i) Find the general term (an) of the sequence ii) Calculate 2e-¹,5e-2, 10e-3,…

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Q: Let f(x)= = 3x + 12 if x - 3 2 if x = -3 Select all statements below that you agree with. Note: You…

A: The given function, fx=3x+12if x<-3x+12if x>-32if x=-3

Q: Evaluate: f 4dx 3x+2

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Q: Find the constant a such that the function is continuous on the entire real line. - [8x², a = ax -…

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Q: Determine the x- and y-coordinates of the trapezoidal shape. 2.9 b Answers: (x, y) = (i 1.8 b ) b

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of t…

A: Please see the below picture for detailed solution.

Q: y"-3y-2y=0; x = 0, y = 0, y =9, y'=0

A: Solution of given question is written in below steps.

Q: Find the transition points. -x)1/3 f(x) = x(17 –) (Use symbolic notation and fractions where needed.…

A: To solve the following problem of finding the transition point.

Q: Find all values of c such that fis continuous on (-∞, ∞). 7-2², a se f(x)= c=2.193 -{} c= 3.193…

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Q: I. Perform the indicated multiplication on the differential operator D. (D+2x)(D-3x)

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Q: 7. If f(x)=4x-3 and h(x) = 4x² -21, find a function g such that fog=h

A: The given functions are: fx=4x-3 and hx=4x2-21

Q: When proving the limit lim(2x + 8) = 14, and e > 0 is given, what is an appropriate choice for 8?…

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Q: The shaded region between the graphs of y = orange. | -6 Ax- 25 2x² + 20 and y = 3x - 15 is…

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Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2 -2 at the point (3,1).…

A: The used formulas are

Q: Halla la derivada de la función g(x): 8 ( x ) = sin -5 √/2 - 1 dr

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Q: Given that n=0 x = 1 1-x Identify its interval of convergence. The series is convergent from , left…

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Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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Q: 3. An amusement park charges $8 admission price (P) and averages 2000 tickets (T) sold per day. A…

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Q: Find the derivative. F'(x) if F(x)= (ex¹ +5) 3 F'(x)=

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Q: Biologists stock a lake with 400 fish and estimated the carrying capacity (the maximal population…

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Q: Solve for t such that 0 < t < 2π 16 sin(t)cos(t) = 4 sin(t) t = List exact radian answers when…

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Q: 6. Evaluate 1 x² + y² + x² dV, where E = { (®,g, z) |1< n? +g? +z? <4}.

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Q: Verify that the Intermediate Value Theorem applies to the Indicated Interval and find the value of c…

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Q: Let f(x) = (c + 1)x+ In(cos x). For what value of c is f'(/4)=6

A: This question can be solved using the concepts of differentiation.

Q: Evaluate the integral B = {(x, y, z)| 0≤x≤2,-2 ≤y ≤2, 0≤z ≤3} with respect to x, y, and z, in that…

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Q: Find the component of u = 2i + j − 3k that orthogonal to v = 3i – j, then verify your result.

A: This question can be solved using the concept of component of vectors.

Q: Consider the following. u = (-7,3, -2), v = (0, -4,-3) (a) Find the projection of u onto v. (b) Find…

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Q: Find the derivative. 2 f(x) = 4√√8x² +9 f'(x) =

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Q: Express the series in terms of elementary functions and find the where the series converges. ∞ Σ (1…

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Q: 5. There is an old question that is often used to introduce the power of geometric growth. Here is…

A: We will evaluate both the options 1 and 2.

Q: Write the product as a sum: 20 cos(136)sin(116) =

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Q: If the function f(x) is a quadratic function, then f(x) must open x-intercept(s). and have ii The…

A: If function f(x) is a quadratic equation, Then f(x) changes direction once.

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 X for fo (ory + 173 dy d 1)² dy dx =

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Q: Let A be an 8 x 8 matrix with det(A) = −2. Let B be the matrix that can be obtained by applying the…

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Q: Find the critical point and the intervals on which the function is increasing or decreasing and…

A: topic- extrema of a function using first derivative test

Q: Evaluate and show all necessary solutions. 1.S cosxsin²x V1+sinx √25-4x² 2. S 3. S 4. fxcosxsinxdx…

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Q: 8 Σ η=1 1 3Vn + n η

A: Calculate the limit of the given term as n reaches infinity.

Q: 27. A function on [0,2] defined by f(x) = -x² |5x – 4 4x³ 3x (3x + 4 - if x ≤ 0 if 0 < x≤ 1 1<x<2 if…

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Q: Find the partial derivative with respect to x of e^y-2*ln(x)-x^3y^2.

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Q: Find local maximum and minimum values ​​as well as maximum and minimum values ​​for the function.…

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Q: Find the work done by the force field F in moving an object from P(-3, 7) to Q(7,5). 2x Y F(x, y) =

A: To find the work done by the force field F in moving an object from P-3, 7 to Q7, 5. Fx,…

Q: Graph the inequality. 3x+4y <-8 -10 -8 TA -6 for *** A *** 14. i. www FRA + 1-8 -10- 9 8 1632 10…

A: Put x= 0 and get y. Put y= 0 and get x.

Q: Without using a calculator, find the distance traveled by a particle with position (x, y) as t…

A: The distance travelled by the particle is the same as the arc length as varies within the interval…

Q: an = Inn √n

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Q: Find all solutions of the equation in the interval [0,2π)[0,2π). (hint: isolate the trig function…

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