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

Q: n! n=12n! +1 A. The limit does not exist. B. None of the choices in this list. C. The series…

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Q: Find the force on one end of a parabolic trough full of water if the depth is 2 feet and the width…

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Q: Find all solutions to cos(70) cos(p) = sin(40) on 0 ≤ ø Give your answers as a list separated by…

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Q: b- dy +2y=0; y=1 at t=0, y(0)=1 dt

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Q: A man drives 60 km North, then 45 km West. Finally, he drives 94 km South. How far away is he from…

A: The objective of the question is determine the distance and direction of starting and end point.

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A: Given: 4x+8y=8, y=0 x-axis, x=0 y-axis So, the bounded region is as shown below. Apply the disk…

Q: Part I: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x from the parametric…

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Q: Find the measure of an angle between 0 and 2 π that is coterminal with m(0) = 7 T A 4 B D TT 4 5 f 4…

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Q: Evaluate: 2 1. lim [√x²+x= √√x² + 4] ∞0++x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Which of the following equations describes the partial fraction decomposition of a rational function…

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Q: fu = eª₁²+₂y+a, where a, a, a3 are constants and 8² u 2² u 2² u a² + a² + a² = 1. Show that + + = U.…

A: Given problem:-

Q: find the surface area of the portion of the curve x²+y²=4 from x=0 to x=2 when it is revolved about…

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Q: 12 The value of the definite integral fm1² √ex – 9 dx is in the form F (b) – F (a), where a 19 and b…

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Q: what is half of 3 and how

A: We can solve this as follows:

Q: 3. f(x) = x²-1 2x+1 if'(1)

A: Solution is here

Q: d) an = 1 2² +1 ( ² + + - ₁ - ¹ ( ² ) ) n² + 1 2 1² + 1 + + 2 3² +1 + 1 4² +1 + ...

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Q: Consider the following differential equation: dy : 2xy² dx i. Use the method of separation of…

A: using method of separation

Q: find the slope of the curve x = e^-tcost2t, y=e^-2tsin2t at the point t= 0

A: find out the slope of the curve at t=0

Q: The area between the curves f(x) = x², and g(x) = 1 O 1/2 sq units O 1/4 sq units 4/3 sq units 1/3…

A: Topic:- application of integration

Q: 5. Given the Standard Equation the DE, Identify the roots * d²y d³ y dx³ dx² + dx - 2- m: 1+ √2,0…

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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…

Q: af find given f (x, y) = e + 2xy² - 4y at (0,3) 9 ду O-12 O-7 O 8 O 4

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Q: Which ONE of the following statements is CORRECT with regards to the sequences of real numbers? OA.…

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Q: Consider dx x1/2 + x2/3 Find the integrand in terms of z. A [62²dz 1+z² B none of the choices 6 z5…

A: Using rationalizing substitution

Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

A: Here, the area bounded by the curve f(x)=8-2x2 ; [0,4] is as shown below:

Q: (x²-2x) (In x³-3 tan x) x√x

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Q: 5. Evaluate the following integral using spherical coordinates: 2-x²-y² ста z dz dy dx. x² + y²

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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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: 4 -1 서 sy9921 dyiyF0 ry ; yfo

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

Q: Illustrate the angle 5π Answer in 20mins

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Q: the sum of two numbers is 40. express their products as a function of one of the numbers.

A: Let's express product of two numbers as a function of one number.

Q: Vector E is 102 units up and Vector F is 94 units right. Vector R is equal to Vector E + Vector F.…

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Q: a + bx² 3ax + bx³ - dx

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Q: The series representation of f(x) = n(x²-1) is given by power OA ¹+¹, -1<x<1. n=] } + [ B. None of…

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Q: - Given the function f(x, y, z) = x ln(1 – z) + and simplify your answers. a) fa b) sin(x - 1) 2y…

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Q: TYPEWRITTEN

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Q: 5 Given cos(8)= and the terminal side of 0 lies on the fourth quadrant. What is the value of cos 05…

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Q: Find the sum of the geometric series below: 5 5 5 + + 5+ + 3 9 2187 49200 A 6561 5465

A: Topic:- sequence and series

Q: The volume of solid of revolution when rotated along x - axis is given as A ny²dx a B Sny²dy a c…

A: We can find the solution to the given problem by using the disk method.

Q: tex Given; ·S= dx 2 Applying rationalizing substitution, find dx in terms of z. (2 z + z) dz A z² z…

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Q: All continuous functions are integrable. A True B False

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Q: ·S Evaluate x 1/2 dx + using rationalizing substitution. x2/3

A: Topic:- application of integration

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A: Use volume of solid of revolution formula for finding the volume

Q: Part II: Find the first partial derivatives of the given functions. z = (y/x³)(x/y³) ENTIA EDIA…

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A: We need to find volume.

Q: Given the function f(x, y, z) = z ln(x + 2) + following and simplify your answers. a b) fry cos(x -…

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Q: y"+y' = 0; y(0) = 0, y'(0) = 1 cost + sint t + cost + sint O B) 1- e-t t-e-t OA) OD)

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Q: Determine the intervals on which the function is concave up or down and find the value at which the…

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Q: - Find the value of x of which the function f(x) = O a. none of these O b. 1 OC -1 O d. -3 Oe. 3 2-8…

A: Given:f(x)=12x-8