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Q: s @ = 135° a solution to the equation sine = cos 0. Justify your answer and explain the approach you…

A: Given query is to find that statement is true or not.

Q: 6) Shared by the circles r = 2 and r = 4 sin 0

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Q: 7. An analyst has found that Tom's Transmissions Company cost function is: C(x) = 40,000 + 500x –…

A: Marginal cost =C'(x)  To maximize or minimize use double deriveative test

Q: y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the…

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Q: TUTOR %3D for the function

A: The given equation is: 4x2+x3y+y2=6...(1) To find the slope, that is dydx, at Q(-1,2)

Q: Find curl (7z i + 8xj+2y k). curi (7z i+ &x j+ 2y k) = (1 i+( j +( )k

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Q: fF(x)dx = -9 and Si (x)dx = . 3 tind f(x)dx Given that

A: We can solve the answer using the properties of definite integral as below.

Q: S V25 – 4x²

A: For the solution follow the next step.

Q: B. Verify if the relatin O y= xe is a səlution to yl-2y'ty =o. y = eco( 2x) is a solution to…

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Q: dy 5 if y = 2x² + 5 and dt dx Find at x 4. dt dx dt

A: Solving the problem by finding the value.

Q: Determine whether the series converges absolutely or conditionally, or diverges. (-1)" + 1 n + 8 n =…

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Q: sin ® 3y cos3ydy cos 3y dy

A: We have to find out the integral

Q: Find the area of the specified region. 5) Inside the limacon r= 8 + 2 sin 0

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Q: Showing all work, use the method of your choice to find the volume of the solid obtained by rotating…

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Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is the last two digits…

A: Permutation: Permutation:  The permutation is a method of arranging objects in a specific order.…

Q: 15. Find x² (2x³ + 4)5 dx

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: Answer the following True or False: Let f(x) be a differentiable function, such that f(– 1) = - 5…

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Q: The arc y = x² from (0,0) to (2, 4) is rotated about the y-axis. Find the area of the resulting…

A: We want to find surface area

Q: 24) use the Refio Test to determine tue canvergen ce or divergence of tue seri's 7n (~1)"(4)'…

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Q: Maximum Oil Production It has been estimated that the total production of oil from a certain oil…

A: given : Total oil production T(t) = −1000(t + 11)e−0.1t + 11,000   Production at time t given by

Q: (cos(x)) dx cos(c) 3.

A:

Q: e3t – 1 lim t0

A: Use l hospital rule for finding the limit.

Q: 3.

A: ∫x41-x2dxPerform trignometric substitutionSubstitute…

Q: S csc-2a(seca)-da

A:

Q: 2 | (ax³+ = 2b - bx²+cx) dx x?dx . -2 (A) True B False

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Q: Find the equation of the tangent line to y=(3x+4)3 at the point where x= -2

A: here given y= (3x+4)3 slope  of the tangent line is y'    Here y' = 9(3x+4)²   Value of y at x=-2 is…

Q: Evaluate the line integral, where C is the given space curve. y dx + z dy + x dz, C: x = t, y = t, z…

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Q: If f(x) = /8 +r² dt , find f'(1).

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Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is…

A: answer is in next step

Q: The ODE below models a spring, mass, dashpot system with damping constant c, spring constant k and…

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: Find the gradient vector field Vf of f. f(x, y, z) = xSye'/z Vf(x, у, 2) %3D

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Q: dr Let A be the area of a circle with radius r. If dt dA = 2, find dt when r = 5.

A: Given :drdt=2r=5

Q: 71 dt Find F (x) and F (-2). 14. Consider F(x) .Co 1+t5 EGO

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Q: 1. S 2xe2*dx

A: Given that,   Using integration by part

Q: Sketch the region bounded by the graphs of the following functions and find the area of the region.…

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Q: 6x² +19x+13 2x +5 5.

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Q: show

A: As per the guidelines we can solve 3 parts only.

Q: Find the absolute minimum and maximum value for the function on the given interval f (x) = x – 3x2 +…

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Q: 31) Find two sets af poler Coorelinates for tue pornt (0,-4) Jer OLQL2T Auywers's 37 テノ, (16,…

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Q: Evaluate the limit 11г3 — 7? — 9х lim 10— 5х — 5а3 I+ 00

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

Q: (D² +1)y = sec x. %3D

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Q: Consider the following. y = e−x2   Find ) y ' =   Find the slope m of the tangent line to the graph…

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Q: cion 3 of 10 plicies t Attempt in Progress curl (9z i + 10x j + 6y k). (9z i+ 10x j+ 6y k) = ( i )i…

A: Topic :- vector algebra

Q: r0.5 .2 X- dx (lerror| < 0.001)

A: Given I = ∫00.5 x3 e-x2 dx =− ( x2 + 1 ) e-x220.50

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: This question can be solved using the concept of domain and of functions and value of a function at…

Q: 8) Fiad the volume of the solid gonereted by revelving the regien beunded by tue graphs of equetians…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the graphs…

Q: Finding the work done in lifting a leaking bag of cement. A bag of cement originally weighing 143 lb…

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) =…

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