differentiate 3thetacos(2theta)+2sin(2theta)

Q: find the given differential solution, using homogeneous equations with constant coefficients.…

A: Explanation of the answer is as follows

Q: A child enters a carousel that takes one minute to revolve once around. The child enters at the…

A: Given problem:- A child enters a carousel that takes one minute to revolve once around. The child…

Q: Suppose that F'(x) O... = 8+4ln(3/5) O... 16+4ln(5/3) = O = 8+2ln(3/5) O 16ln(5/3) = x X 2 Then F(7)…

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Q: Consider the function f(x)=2 sin (4(x-3)) +6. State the amplitude A, period P, and midline. State…

A: Given:       fx= 2 sinπ4x-3+6

Q: A student is given four different trigonometric expressions 1 I secx cosx 9 II cot²x-csc² x III…

A: Let's simplify given trigonometric function and then evaluate for ranking.

Q: Farmer Watson has decided to take 805 ft of fencing he purchased and use it to enclose the…

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Q: Q2: (A) Show that if y=csc(u), then dy -csc(u) cot(u) du dx

A: I have stated the used formula in the solution

Q: 3 [₁³e- t³e-2t dt

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Q: exact method: (3xy3 + 4y)dx + (3x2y2 + 2x)dy = 0

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Q: Q1/ evaluate. SPS dj dz dx X+2

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Q: 3.y" + 6y + 8y Pros Зе 2х + 2x

A: Let's solve given diffrential equation.

Q: Show tha

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Q: y = 1 (1,1) A X=1 y=x² C X (0,0) Region A is bounded by the parabola x = y², the line y = 1, and the…

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Q: Sketch the graph of a function f that is defined on R and continuous except for the stated…

A: A function fx is continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(x)

Q: An oil storage tank can be described as the volume generated by revolving the area bounded by 4 Y =…

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Q: The director of the school play has to assign 5 lead roles. If the roles are being chosen from a…

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Q: Find the equation of the line through P = (14, 13) such that the triangle bounded by this line and…

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Q: 3) Suppose 2X z = xe cos 3y, find all the first and all the second derivatives.

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Q: Q4) Find the volume of the region R, that cut from the cylinder x² + y² = 4, by planes: z = 0 and…

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Q: 49 - x² Evaluate the integral: dx 8x² (A) Which trig substitution is correct for this integral? x =…

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Q: Q4: (A) particle moves in a straight line with an acceleration a(t) = (2t + 3)-3 m/sec² If the…

A: Let's find velocity 2 Second after the start of the movement.

Q: . Find the rate of change of the volume V of a cylinder with respect to radius if the height is…

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Q: AY (1, 1) A X=1 y=x² с X (0,0) = 1, and the y-axis. Region A is bounded by the parabola x = y², the…

A: Note : As per our guidelines we are supposed to answer only 3  subparts if there are multiple…

Q: Solve the differential equation by the method that you think is most convenient.   (y + √(xy)) dx -…

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Q: J 7+6x - x²dx

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Q: Consider the indefinite integral (4x³ + 5x² − 1x − 6 [420³ + x² - 1 dx

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Q: Calculate the arc length of y = 9x + 1 as x varies from 0 to 5. S -

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Q: dy (A) Show that if y=csc(u), then =-csc(u) cot(u) dx

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Q: The diagram below shows a right triangle that has side lengths of 7.75 and 1.98 cm and interior…

A: The tangent of an angle is the ratio of the length of the opposite side to the length of the…

Q: Find the slope of the normal line to curve x=4sint, π y=cos2t when t=-

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Q: Find the area of the surface obtained by rotating the curve from x = = 0 to x 5 about the y-axis. =…

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Q: TL (3x −2+ sinx) dx

A: The given integral,         ∫-π4-π23x-1x2+sinxdx

Q: Q2/ prove [A] [A] = [I] if [2 4 -5 [A]= 2 7 1 3 4

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Q: 4. Evaluate the double integral: So SAFI y¹/3 x7 +1 (Hint: Change the order of integration to dy…

A: Graph of the limits÷ x=y13,x=2,y=0,y=8

Q: Find the area of the surface obtained by rotating the curve Y = from x = 0 to x = 1 about the…

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Q: Fill in the blanks. (Enter the domain in interval notation.) Function Alternative Notation Domain y…

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Q: 4. Evaluate the double integral: L Lates y¹/3 x² 27 +1 (Hint: Change the order of integration to dy…

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Q: Find an antiderivative F(x) of the function f(x) = 5√√2-7 such that F(0) = -6. F(x) = 5. Now, find a…

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Q: Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5 - x² - y² where x ≥ 0…

A: Explanation of the answer is as follows

Q: Evaluate: lim (x² + €¯²) (x²¹ cscx) I→0+

A: We will evaluate the given expression using DL hospital rule.

Q: using Polar hatics II, e the carai Find the Q3) By using the polar find region enclosed by y = x²…

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Q: When multiplied out, what are the first 4 terms of (2x+y)¹0? Show your work for full credit.

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Q: Solve the following integrals. 3.) S fafy dxdy y²-x²

A: On solving this we will get

Q: π/2 COS X 1 + sin² x dx

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Q: y = 1 x=y² B A (0,0) y=x² C (1, 1) X=1 X

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Q: Q2) Show that these statements constitute a valid argument, use Truth Tree: a) ~(pVg) = ^p^^q b)…

A: This is a problem related to mathematical logic parts. Based on the general formula and concept we…

Q: Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² +…

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Q: -. Find the area of the region between f(x) = 1-x² and g(x) = x + 3 on the interval [-2,2] 0 2

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Q: Solve the initial-value problem. (Use t as your independent variable.) P' = 7P(1 − P),      P(0) =…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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