1 Determine the volume generated of the area bounded by y=√√x and y=-x rotated around y=3. 2 A 16/3 B 16/5 с 8x/3 14T/3

Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

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Q: The weekly cost of producing x key chains is given by the function C(x) = 1800 + 33x + 0.15x2. Find…

A: marginal average cost

Q: The Taylor series for f(x) = e at a = 3 is cn (x - 3)". n=0 Find the first few coefficients. Co= C1…

A: Given problem:-

Q: The height y (in feet) of a ball thrown by a ch 1 -x² + 6x + 5 - y = 14 where is the horizontal…

A: The height of the ball is given by  y=-114x2+6x+5 in feet where x is horizontal distance from child.…

Q: find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = (4t − 1)3 ℒ{f(t)} =

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Q: Suppose f (a) g' (b) h' TU IT (5) = −5. Let g(x) = f(x) sin(x) and h(x) = cos(x). Find the…

A: SOLUTION-

Q: 9- Solve the question. Lim cos(2x)/x хэл

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Q: fx arccos x dx 2.

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Q: If g(x, y) = √√3xy - 7x, find gx and gy. 9x = gy =

A: partial derivatives

Q: Find an equation of the normal line to the curve of y = √x that is parallel to the line 2x + y = 1.…

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Q: Question R is the region bounded by the functions f(x) = 2-3 sin (x) and g(x) = 4 cos (x). Find the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: dy at t= is (not that these functions in N) dx a) -1 b) 0 c) d) 1 e) others Q5: If y=tant and x =…

A: The objective of the question is determine the derivative at given point and choose the correct…

Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sol: 2L = 2 T qu L = π -41 -2π 4T 27T 21…

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Q: (a) (i) Calculate (4 + 6i)². (ii) Hence, and without using a calculator, determine all solutions of…

A: the complex number ..

Q: Suppose f(x) = n=0 To determine 0.00000675 [ƒ(2) dz f(x) 6.9 - (x - 7)" 7 S f(x) dx to within…

A: Solution

Q: 2- Find the derivative of y with respect to the Exercises 1-3. y = 6sinh ; 1- = - sinh (2x + 1) y =…

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Q: 1. Find the solution of the following differential equation.

A: We have to find the solution of the given differential equation.

Q: dx (4+x²)² √

A: Explained below

Q: 2. (9x-4y+4)dx=(2x−y+1)dy=0

A: Given

Q: Find the vector, parametric, and symmetric equa lines: (a) the line perpendicular to x+7_y-4 with 3…

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Q: Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. lim f(x)g(x) lim (2f(x) + 3g(x)) lim…

A: Given limx→-4f(x) = 3 and g(x) = 1.

Q: Let D be the region enclosed by y = sin(x), y = cos(x), x = 0 and = . The volume of the solid formed…

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Q: The surface of the sun has dark areas known as sunspots that are cooler than the rest of the sun’s…

A: As per guidelines, we are going to solve only one problem. So please repost the other problems…

Q: 4. (a) (i) Calculate (4 + 6i)².

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Q: 1-x² 1-x 10 f(x, y, z) dy dz dx

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Q: Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months can be…

A: Given function, f(x)=1.6x+8.3 Where x is in months.

Q: 7. dx ггтV)

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Q: If Arnold earns a salary of $18,564 a year and is paid biweekly, how much is his gross pay per…

A: Here is the solution

Q: A company produces a special new type of TV. The company has fixed costs of $476,000, and it costs…

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Q: 5. Using the least squares approximation, the best fit an exponential curve y = = ea(x-b) to the…

A: answer is in next step

Q: Find the average value fave of the function f on the given interval. f(x) = 3x² + 8x, [-1, 5] fave -…

A: We have to find the average value

Q: Find all numbers b such that the average value of f(x) = 7 + 8x - 6x² on the interval [0, b] is…

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Q: 3. Given f(x) = cot(x) sin(x) and g(x) = cos³(-x)(sec² (x)-1) sin² (x) a. Prove that f(x) = g(x).…

A: Given that,  fx=cotxsinx and gx=cos3-xsec2x-1sin2x

Q: Evaluate the integral 9x² √x² + y² dzdy dx

A: Given problem:-

Q: Given A(1,3,-7) and B(0, 2,-4), the magnitude of AB is a. √147 b. 3 C. √11. d. 3.3

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Q: 1. Assuming that one of the sides of a rectangular field is along a river bank and no fencing is…

A: In this question, we want to know the dimensions of the rectangular field that will satisfy the…

Q: 7- dx L₁EV xV1 + (In x)²

A: Here we will use the substitution method

Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

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Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t= 1 is (not that x is…

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Q: A Ferris wheel has a radius of 12 m and rotates once every 16 seconds. Suppose a passenger boards…

A: We can use cosine equation to solve the question

Q: Biologists have proposed a cubic polynomial to model the length L of Alaskan rockfish at age A: L =…

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Q: If ū = and = and ū is orthogonal to , then k is a. -8 b. 8 C. 4.5 d. -4.5 e. 0

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Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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Q: Prove that any group of order 40, 45, 63, 84, 135, 140, 165, 175, 176, 189, 195, 200 is not simple.…

A: According to Bartleby guidelines I can only answer the first three questions of the given problem.…

Q: Question R is the region bounded by the functions f(x) = 1-3 sin (x) and g(x) = 3 cos (x). Find the…

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Q: III. The Auxiliary Equation 1. (4D³-23D³-33D²-17D-3)y=0

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Q: Find the general solution of the differential equation: dy dt Use lower case c for constant in…

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Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: At 12.00 noon, there were 200 bacteria present.By 1:00 pm, there were 379 bacteria.

Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: Let f(x, y) = x³ + y³ - 2x²y². Calculate fa, fy, fax, fyy and fry. Hence show that (3/4, 3/4) is a…

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