Evaluate > f zy³dz + z³dy, where C' is the rectangle with vertices (0,0), (6.0), (6,2), and (0,2).

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A: We have to graph one period of given function.

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Q: 35. (- sint, cos t) dt

A: Given problem:- ∫0π-sint,costdt

Q: t the correct answer below: ower series ot a power series n=0

A: Topic:- sequence and series

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec³(x) tan(x) dx

A: Evaulate the indefinite integral

Q: (D2 - 3D + 2)y=e5x, Find Y = Yc+ Yp O a. 1 5x ¨°C et + C₂e²t. + O b. -X ce c₁₂e-x + c₂e-²x + OC. O…

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Q: (D3-5D2+8D-4)y= 2x, Find Y = Yc - Yp 1 a. O b. c+ciải tế giớ OC 12²³x²= + 12²x²5+ [²³²] + x³²50 -2x…

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Q: 1) Graph 1 period of y = 2 tan (+) A

A: To plot the graph of the given trigonometric equation.

Q: lim cos(x) X→∞

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A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: Let a1 = 2. Let an+1 = 2 − 1/an. Prove that an is decreasing and bounded below by 1. b. Determine…

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Q: Find the exact arc length of the curve on the given interval. Parametric Equations Interval x = 5…

A: Use formula of Arc length

Q: (4) Find the volume of the solid obtained by rotating the triangle (2,0)(2, 4)(1, 1) about the…

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Q: If ["* f(x)dx = [ª* f(x)dx + [ª f(x)dx - [** f(x)dx, 6 what are the bounds of integration for the…

A: Given∫abf(x)dx=∫-62f(x)dx+∫25f(x)dx-∫-6-2f(x)dx We are required to find the value of a and b

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Q: Given that "f(z)dx=14, what is "f(u)d da 3

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Q: It is very unlikely that you will have the maximum efficiency. If the actual efficiency is 75% of…

A: Let's find waste heat generated.

Q: A poster consists of a printed area and margins (See image). The area of the entire poster is A = 96…

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Q: 9. 7(t)= (cost, sin t)

A: #Question 9 Given, r→t=cos t, sin t

Q: uppose f(x) = 2x² + 8x. Find: The slope of the line tangent to f(x) at x = 2. swer: The…

A: Given query is to find the slope of tangent nad the equation of the tangent.

Q: Consider the following integral. Br -2 f(x) dx 0 = where f(x) = Rewrite the given integral. 2 [²1(x)…

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Q: 2) Graph 1 period of y = -3sin2x + 2

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Q: 1 7x6 (6-x) dx 0

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Q: Compute T₂(x) at x = 0.5 for y = e² and use a calculator to compute the error |eª — T₂(x)| at x =…

A: Let's find Taylor series and error.

Q: 7x² + 4x-6 x² + 3x² . dx.

A: We first evalute partial fraction decomposition for the given function and then evaluate the value…

Q: 2. Solve for the following rates, treating all variables as functions of t dr (a) Solve for dl (b)…

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Q: Complete the parametric equations for the given rectangular equation. 1 -x+3 (a) Rectangular…

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Q: (a) sin (2x), c = 0.

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Q: Given a = log, 5 and b = log, 4, use logarithmic properties to represent each of the following…

A: Please see the below picture for detailed solution.

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Q: Find the following indefinite integral using integration by parts. [(3x + =0+c (3x + 9)e* dx =

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Q: 15. Find the average value of f on [0, 8]. 1 0 2 4 X

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Q: Of all numbers that add to 62​,find the pair that has the maximum product. That​ is, maximize the…

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Q: Solve the problem. 26) In a certain memory experiment, subject A is able to memorize words at a rate…

A: Integral

Q: answer

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Q: Sketch the area represented by g(x). - 60 O y g(x)= (3 + sin(t)) dt Find g'(x) in two of the…

A: g(x) = ∫0x(3 + sint) dtg'(x) = ddx∫03(3 + sin t)dt= (3 + sinx) ddx(x) - (3 + sin 0) ddx(0)=…

Q: In Exercises 61-66, find an equation for each graph. 61. -2# 2# ÄA Af AA 3″ 5m 62. 63. -3m R/C bire…

A: Answer is in step 2.

Q: ΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑ 2 3 4 5 6 7 8 9 με Graph of f 2 O -2- - 15. The graph of a…

A: Solution:f is continuous and h(x) = ∫0xf(t) dt and graph of f is given aboveFrom the graph,h(6) =…

Q: Use partial fractions to find the indefinite integral. (use C for the constant of integration and…

A: NOTE: Refresh your page if you can't see any equations. . first, we need to take the long division

Q: 4. Theorem 11.2.4 contains three product rules. What are the three different types of products used…

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Q: infinite

A: We have to find the value of the given definite integral according to the given information

Q: In Exercises 19-22, the magnitudes of vectors u and Vin R³ are given, along with the angle between…

A: Given:- u→=2,v→=5,θ=30°

Q: (D-5D + 8D-4)y = e, Find Y = Yc - Yp 1 Cate -21 2 a. Cetci 2t O b. 2x 2x C₁ et + C₂²1 +C₁₂re ² +…

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Q: 3. Find the length of the curve in polar coordinates. You may need to calculate the value…

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Q: In Exercises 61-66, find an equation for each graph. 61. AA -2" 2 4m 67

A: Q 61

Q: this question is supposed to be 1/2 and 0 as a definite integral on the sigma not 1/20

A: The given integral is ∫012sin(πx) dx We have to find the value of the integral .

Q: Evaluate the definite integral. 1 ex Jo 1 + e²2x dx

A: To evaluate the integral.