Evaluate the following definite integrals. Note: Final answer should be expressed as a decimal, not in terms of gamma or beta. dx a. So 4√4x-x²

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Q: A closed wood storage having a volume of 27 in.³ is to be in the form of a right- circular cylinder.…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: provided. f6x³(2x5 + 2)dx

A: We expert are following guidelines we are supposed to do the first question. Please put another…

Q: answer

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A: We need to find value of x.

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Q: Find two numbers whose sum is a, if the product of the square of one by the cube of the other is to…

A: To find the two numbers whose sum is 'a', if the product of the square of one by the cube of the…

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Q: If the product of two positive numbers is 300, Minimize the sum of the second number and thrice of…

A: To find out the numbers.

Q: Assume acceleration due to gravity is -32 ft/s². A ball is thrown vertically upwards from a platform…

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Q: 13. Water is spilling out of a tank with a leak at the bottom. After t hours, there are t+ √t liters…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 8 [+][…

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Q: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

A: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

Q: 2 Consider the vector-valued function R(t) with Ả'(t) = (sec²(t – 1), √t' (a) Find R(t) given Ả(1) =…

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Q: stion 12 The power series representation of f(x) = ln(x²-1) is given by OA. None of the choices in…

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Q: y = 3sinh (3t) 3 s² +9 9 S² +9 O A) C) O B) D) 3 $²9 9 s² - 9

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Q: f (x² + 1)(x³ + 3x)² dx

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Q: fy = √2 – 3x², find d'y dr2

A: Given query is to find the Indicated derivative.

Q: √√2₁ y = ¹, y-axis, y=1&y=3; OY

A: Volume of solid obtained by revolving region around y axis is evaluated.

Q: Evaluate the given limit of the following: lim_[Vx2 + x - Vx2 + 4] X+00 Ya

A: Given;  Limx-infinity [sqrt(x2+x) - sqrt(x2+4)]

Q: (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y" +2y'-3y=32e";…

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Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: Write the parametric equations x = = 5 sin² 0, y = 3 cos² 0 e given Cartesian form. 3sqrt(1-x^2/25)…

A: Given query is to find the Cartesian equation.

Q: 4. O y=√3 x=3-y² D

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Q: The graph of y = z² is shown on the grid. Graph y = (x - 3)² – 2. 10+ 9 40 05 15 8 * 50 An NE

A: graph of function

Q: Evaluate the integral of the following: S(-4t+12) (5t +15)dt

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Q: Evaluate the integral : S - (9x²+7x) (x−1)(x+1)² dx ← +C

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Q: Find and classify all critical points of the function f(x, y) = x + 2y - ln(x4y8) Item 5.pdf

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Q: Determine the area bounded by the curves x^3 - y = 0 and y + 3x^2 - 4 = 0, using a vertical element.…

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Q: Part II f(x)=x² A. g(x)=(x-3)² f(x)=x² B. g(x)=(x+3)² p(x)=(x-3)² +5 p(x) = (x+3)² +5 f(x)=x²…

A: We need to find vertex. As per Bartleby's guidelines we can solve only one part. Please upload other…

Q: A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural length of 10…

A: Given problem:- A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural…

Q: The volume of y = (3x+1)+,x=0, x=8,y=0 O (28/9) TL O (26/3) T O (1372/9) O (248/9) m 6 and x = = 2y

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Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: Here we have to find the value of r and then plot the polar graph.

Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to determine where…

A: Here, given that f''(x)=x2(x-7)(x-2)

Q: integrate * S(4√r – V√r² – 6√r³) dr 8 ·12 3 r³ – 2/4 r ² + C 5 35 r-ri-24r + C ² 35 24 3²-5r³+²+ C…

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Q: The cylindrical shell method is to be used to compute the volume of the solid generate by revolving…

A: Solution is here

Q: 6x+13 1. Sx²+5x+6 - dx Co² (²) du

A: Dear Learner,We expert are following bartleby expert guidelines to answer the Questions. In case of…

Q: Find the total length of the cable. L = 2y + 3√² +6² + constant Differentiate both sides.

A: the solution next step..

Q: Solve for the area of the region bounded by x² = 4y + 4 and x = y = 2

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Q: Let F(x, y) be a continuously differentiable vector field satisfying property problem. Show that…

A: Answer is given in next step.

Q: 10dz S 4z³ - 4z²+ 5z

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Q: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: We need to find equation.

Q: Choose among the following suitable to define the given integrations * :fx √x + 1 dx Not suitable…

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Q: 1. If find the value of a. L²Lke + (x + 2y)dydr = 10, a

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Q: Evaluate the following integrals: (a) [*[**cos(2) dx dy VI- b) √ √²²- e−2²−² dy dx (Hint: Use polar…

A: We have to find the given double integral. (a) The given integral is…

Q: ch among the equation represents the coefficent + 2 = (A + B + C)x² + (−A + B − 2C)x + -A+B-2C = 3…

A: We have to choose the correct option from the given options according to the given information

Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y - axes. If the region is…

A: Solution is here

Q: Find the inverse Laplace transform: 1-3s F(s) = s²+2s +5 O a. 3/2+e-[(3/2) cos 21 - (9/2) sin 21]…

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Q: 4ex Evaluate Sv dx 2 Use rationalizing substitution. - 8

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