2) Calculate the following: 1 0 0 Xp 6:90- 0 1 0 Ур 001 Zp/ =?

Q: a. f²f² (x) dx 2 b. (f/²f(x)dx)²

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Q: Given 9t² - 38t - 20 t³ - 10t² Evaluate 4 9t² - 38t - 20 - J t³ 10t² the constant of…

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Q: Sketch the solid obtained by rotating the region around the indicated axis. Using the sketch, show…

A: The first step is to understand the region that we are dealing with. The region is bounded by the…

Q: suppose that y is a differentiable function of x and z = sin (x5y8). Express dz/dx in terms of x,…

A:

Q: The profit, in dollars, of producing and selling x action figures is given. P(x) = -x² + 80x - 460…

A:

Q: Using the graph of f(x) determine the value of each quantity, if it exists. If it does not exist,…

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Q: Hiw Find of and Duf to :- f (x₁9,2)= In (x²+2y² +32²) atp (-1,²,4) in the direction of a = -36 -…

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Q: Determine d²y of the curve x³y³ = 1. dx² d²y dx² X d²y_2y dx²x2 d²y dx² -x+y Odly - 36xy d²y dx²

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Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 2 ln(x)…

A: By using the cylindrical shells, to find the volume of the solid generated by rotating the curve…

Q: (D) Find the function value f(-3). Select the correct choice below and, if necessary, fill in the…

A: From the given graph

Q: 20. Given a = [3, -5,1], b = [-2,4,-1] and 2 = [7,3, -2], find a) b.č b) axč c) , the angle between…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub parts…

Q: Show that the function u(x,t) = sin(kx)sin(akt) is a solution to: utt = a²uxx where ut = a²u/at²,…

A: The given differential equation iswhere,Show that the solution to the differential equation is

Q: Q/ Find the Integral of the following: 1- fx sin x dx 2- ((1+tan²x) dx 3- [cos 2x dx

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Q: 3. If |ū| = 4, || = 5 and the angle between these vectors is 70°, determine a) ü xü b) u.

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Q: The depth of a 30 foot long swimming pool is modeled by the the function f ( x) = −.0001565x4 +…

A:

Q: Two capacitors (C₁ = 6.00 μF and C₂ = 10.0 μF) are now connected in series and to a 9.00-V battery.…

A: (a)    3.75μF (b)   V⁠⁠⁠⁠⁠⁠⁠1 = 5.625 V         V2 = 3.375 V (c) Q1 = 33.75μC      Q2 =…

Q: 14. Determine the equation of the tangent to y = x (x+3)² at x = -2

A:

Q: 3. Recall that a rational number r € Q is a number of the form r = where a, b € Z, b + 0. Decide…

A: The objective of the question is to determine the validity of two claims about rational numbers and…

Q: No hand written responses. I need help with a step-by-step breakdown (explaining each step in the…

A:

Q: lim x-0 1 - cos x sin x

A:

Q: Evaluate the integral I. I 1 = f (e¹i + 3t²j + ln (5t) k) dt i + j+ k + C

A: The given integral

Q: A skier skis along a circular ski trail that has a radius of 1.1 km. The skier starts at the East…

A:

Q: Let y^3-8y+x^2=8. Use implicit differentiation to find the derivative. Find the tangent line at…

A: The equation of the tangent line of the function y= f(x) at  (x0,y0) is           y-y0= f'(x0)(x-x0)

Q: Find if the series converges or diverges.

A: The answer is given below.Explanation:

Q: 5 Let f(x) = 4 + 12 cos(7x) and g(x) = 6+3x a. Find the composite function f(g(x)) and give its…

A:

Q: Example 1: Prove that z = x² + 2y². 8²= oxoy 8²= yox using the expression:

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Q: Compute the right-hand derivative D.f(0) = 4x+7 if x<0 {f(x) = 7x+8 if x 20 The right-hand…

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Q: f Determine the general tangent slope to the curve X = √x +3.

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Q: Problem 4. A filter filled with liquid is in the shape of a vertex-down cone with a height of 15 in…

A:

Q: a. S 1 x(M - x) -dx

A: According to the bartleby guidelines we are supposed to do the first one of multiple questions…

Q: Find the derivative of f(x)= x5 - 7x² + 8x.

A:

Q: Consider the following. y = 2x³/2+6 y 50 40 30 20 10 2 4 8 X Find the arc length of the graph of the…

A: Consider the following.To find the arc length of the graph of the function over the indicated…

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Determine the quadrant in which the terminal side of 0 lies. (a) sin0 0 (Choose one) (b) csc0 < 0…

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Q: Q/Find the Integral of the following: 1- Scosx³ dx 2- 53¹anx sec²x dx 3- In2 log x dx

A: The given integrals

Q: 97. To determine the value of the definite integral: 3 x - 3 x² - 6x + 10 a. Complete the square of…

A:

Q: 8 4x³ 5 8C dx

A: The given integral

Q: Test for convergence or divergence with the Direct Comparison Test.

A: Refer to explanation section Explanation:

Q: Consider the space curve ř(t) = (5t – 3, −t + 1,2t − 4). a. Find the arc length function for š(t).…

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Q: With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total…

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Q: Solve the integral by u-sub 4/3-e^x dx

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Q: find the vertical asymptates (if any) and the horizontal asymptotes (if any) of the graph of the…

A:

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the…

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Q: 1. y" - 3y' - 10y = -3

A: We need to solve the differential equation.NOTE- As per Bartleby guidelines we can solve one…

Q: Determine the convergence or divergence of the series.

A: The answer is given below.Explanation:

Q: The total revenue, in dollars, from the sale of x units of a product is given by 2300x R(X) In(11x +…

A: we need to find out the marginal revenue.

Q: Let à = (-5, - 2, 4) and b = (-1,5, 3). Find a x b. (Enter your answer as a vector of the form .)…

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Q: Use the limit definition to compute the derivatives at the given value of a: 1) f(x)= sqrt(x-2) for…

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Q: For y = f(x) = x³ − 7x² + 2, find dy and Ay, given x = 4 and Ax=0.2. - dy = (Type an integer or a…

A: given

Q: Compute f(g(x)), where f(x) = x and g(x) = 8x - 5. d dx To compute f(g(x)), first find f'(x) and…

A: Given Formulas we use: