-3 d) de e) co f) dx x-2 + 4 cot x dx e2x - 1

Q: 7. Consider the curve x 3t4 + 4t3 + 100, y = 3t - t°, -2 <t< 2. dy What is dx dy when t = 1? dx (a)…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. I = 8y + 3,…

A: Given that the curve x=8y+3, 0&lt;=y&lt;=3  To find the Area of Surface generated by revolving the…

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: corresponding limit after changing the order of integration  here y = z so only this limit is change…

Q: Given that yı 1 = = 3e is a solution of the differential equation y" + 3y = 0. Then, by using…

A: Follow next step

Q: Evaluate the integral. 37/4 3 sec e tan e de -7/4

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Q: Directions: Solve the derivatives of the following functions using the rules in differentiation…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Sketch the region and find the area of the region bounded by y = 3x + 1, the lines x = 1 and x = 4,…

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Q: Solve the initial value problem y" – 6y' + 25y = 0, y(0) = 2, y'(0) = -3. %3D

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Q: 5- S(tanx + secx)² dx

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Q: Sx'e-2x* dx

A: ∫ x3e-2x4dxLet u=-2x4.=∫ -eu8du=-18·∫ euduSubstitute back u=-2x4=-18e-2x4Add a constant to the…

Q: t2 + 5 1 lim →+∞\ 9t2 + 10' 2t (?, ?)

A: Given

Q: 4 - x -dx. 16 – x2 III. Evaluate

A: Solving

Q: sin 4x2 lim 1 cos 6x

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Q: Directions: Answer what is indicated in each number. 1. Find the derivative of f(x) = 3x², and…

A: 1.  f(x)=3x22. The curve y=2x2+3

Q: Find the work required to haul a load 100 feet by a 100lb force acting on the load at a 20° angle.…

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Q: Evaluate ſ _dx V16-x 4-x

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Q: 6. A square plate 3 ft on each side is submerged with the top side parallel to the surface, 5 ft…

A: This is a problem related to force exerting on square plate by water. Based on Archimedes principal…

Q: 5. A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood…

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

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Q: Find the area bounded by y = x + 4 and y = x2 - 2.

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Q: Find the exact arc length of the curve over the stated interval. y = 3/2 – 4, from a 0 to a = 1…

A: y=3x3/2 -4  arc length=∫ab(1+(dy/dx)2) dx a=0 and b=1 given dy/dx=d(3x^(3/2) -4)/dx…

Q: r(1) = 2 Ans: In + = de II

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Q: d Calculate r1(t) · r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly…

A: In this question we have to find differentiation.

Q: 4 sin? x cos? x dx. sin(2.x) cos(2.r) Evaluate the integral (a) In |sec(2a)|+C (c) In |sec(2x) +…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim t-+0\ 9t2 + 10' t (?, ?)

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Q: COSI 1. dz 1+2 sin z

A: Antiderivarive

Q: 2-fx'e-2x* dx

A:

Q: ANSWER

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find the arc length of the parametric curve. = 4 cos(t), y = 4 sin(t), % = 3t; 0 < t < T L =

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Q: | (2x – y) dx + (x + 3y) dy. Evaluate C: arc on y = x3/2 from (0, 0) to (4, 8)

A: To evaluate the given integral.

Q: Determine all the critical numbers of the following function: f(x)= x² + 10x+25 a. None of these. b.…

A: Let us consider a function f(x). To get critical points of f(x) we put f'(x)=0

Q: x +1 Evaluate the integral | dr. x2+2x +3 1 1 (a) 4Vr2 + 2x + 3 + C 2Vx2 + 2x + 3 + C Vx2 + 2x + 3…

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

A:

Q: Consider the differential equation y" – 11y" + 28y = 0 Write the auxiliary equation of the given…

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Q: 5. Eliminate the parameter to find a Cartesian equation of the following curves. et (a) x = vt+1, y…

A: Eliminate parameter t.

Q: B. Directions: Find an equation of the tangent line to the graph of the equation at the given point.…

A:

Q: Given the differential equation 9 y' y" Using Reduction of Order and the letter "R" to this…

A: To find the solution of given differential equation.

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: In this question we have to find volume by revolution of the given curves.

Q: The result of the following double integral is 2 SS T oxy²z dxdzdy = ? -2°0 None of he others O -21…

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Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the laplace…

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Q: Find f'(x). f(x) = (5x + 7) (1 – V)° 105(5x + 7)° (1 – Vã)° f'(x) = 3(5x + 7)' (1 – Va) f'(x) =…

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Q: The critical numbers of the function f(x) = x³ – 6x2 are x = 0 and x = -4. Select one: True O False

A: Given; fx=x3-6x2   As we know that; To calculate the critical numbers of the function, f'x=0.   And…

Q: 2x-4 | 5e dx

A: To evaluate the given integral.

Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is…

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Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

A: To find the area of the region bounded by the given curve

Q: 18r +3 2. dr. 92+6r +2 cos z dr. 3.

A:

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: f(x)=ln(x2)-0.7xl =0.5xu=21st iteration:  Here f(0.5)=-2.0863&lt;0 and f(2)=0.6863&gt;0  ∴ Now, Root…

Q: 15 / 17 116% C. Directions: Solve for the derivative of the following functions using the indicated…

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Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

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