2- 3- Evaluate the integrals in Exercises [² dx L₁3 3 dx 3x - 2 dy 1- 2. S sec y tan y 2 + secy

Q: 1. Find the indicated limit 1- cost, (a) R(t) t 1+ cost, i+ (b) R(t) 1-sint = = -i+e¹j+ek; lim R(t)…

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Q: Solve - cos2 - sin²x = 1 on the interval 0 < x < 2T. O 3π 2' 2 O no solution O 0, T O 0, T, 2T

A: The given equation,    -cos2x-sin2x=1 on the interval 0≤x≤2π

Q: 32) Find the amount of a continuous money flow in which $2000 per year is being invested at 5%,…

A: Given.

Q: how to prove that a and b are divisible by d if and only if au+bv is divisible by d. a,d,u,v,b are…

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Q: (b) Show that the interval of convergence of the series n=1 sest 2-12-1 (4n-3)² is given by

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Q: Find the volume of the region bounded above by the plane f(x,y) = 2x + 5y + 6 and below by the…

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Q: 2. Evaluate r sin rdr using integration by parts.

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Q: Q3: A. By power series, prove that: d 4 sinhx dx coshx

A: Explanation of the answer is as follows

Q: What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

A: Graph of the ellipse is given, we have to find its equation.

Q: Which one of the following is a potential function of the following vector field? O f(x,y) = xy+2x O…

A: Find potential function

Q: Find the particular solution of the following differential equations with the given condition. 3) dy…

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Q: The extreme value asian food truck sels 800 BBq buns per week at aprice of$1.50 each.For every $0.10…

A: Explained below

Q: 12 Given that f(x) = 2x 3 + x - 3, evaluate the function f(-2). 11 -69 -21

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Q: 2. Find the Maclaurin series of f(x) = tanh

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: y = ln x and x - y -4 = 0

A: Explanation of the answer is as follows

Q: We are interested in the first few Taylor Polynomials for the function f(x) = 5e + 3e¯* centered at…

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Q: find do if yot' and both de and h = X

A: We will find the derivative.

Q: Select all that apply. Solve this equation; domain 0° ≤ ≤ 360°; answer to the nearest whole degree.…

A:

Q: need

A: We will solve the problem

Q: (a) Assume that g(x, y) is a function of the form g(x, y) 0 if (x, y) = (0,0). (i) Show that g(x,…

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Q: 5. The Fourier transform of signal e²²¹ u(t-3) is . e-3(2-jw) a) 2-jw b) e-3(2+jw) 2+ jw c) e3(2-jw)…

A: NOTE: As per our guidelines, I have solved one question. If you want the answers of rest, kindly…

Q: Evaluate the integral In 23 In y s s ex+y dx dy.

A: Given: ∫1ln23∫0lnyex+ydxdy

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: Given triangle ABC, A = 40, a = 15, and b = 19, find B to the nearest degree. Do not round answers…

A: Given triangle ABC, A = 40, a = 15, and b = 19 To find B to the nearest degree.

Q: erivative 263.7 0.5cos0+ 0.3515.sim

A: Derivative

Q: 6.) Find the local extrema and saddle point(s) of f(x, y) = x²y-6y²-3x².

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Q: Q3. Evaluate the following integrals 1) cothx.csch²x. dx (50-3x - W√x++) de

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Q: Determine the following limit at infinity. lim f(x) X→∞ 9(x) if f(x)→700,000 and g(x)→∞o as x→∞ Find…

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Q: Given the national income model Y = E; E=C+I where C= 280 +0.6Y, Io = 80: (a) Write down the value…

A: We need to find equilibrium point.

Q: Can the Squeeze Theorem be used to determine lim f(x) when I(x) ≤ f(x) ≤ u(x) on (7,8) U (8,9) and…

A: In this question, we will see the properties of squeeze Theorem.

Q: Use polar coordinates to find the volume of the given solid: Insider the sphere x² + y² + z² = 16…

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Q: z (hx) = h + k

A: y'+y=(xy)2

Q: Complete the Proof Statements Reasons 1. ABCD is a AC BD given 2. AD BC 3. 4. LABC = ABAD 5 ZDAB…

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Q: II. Solve the following Linear differential equations of order one.  2.)    хdy + (у — ху + 2)dx

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Q: A balloon is rising at a rate of 3 meters per second from a point on the ground 55 meters from an…

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Q: The trough in the figure below has width = 4 ft, length L = 10 ft and height h = 5 ft. (Click on the…

A: We need to find force and work.

Q: 9- Solve the question. Lim cos(2x)/x X->T

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Q: Let g(x)= log4 (13-5x). State the domain of g using set or interval notation. . State the range of g…

A: g(x)=log413-5x Given function g is unbounded when 13-5x=0⇒x=135 The equation of the vertical…

Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: find differential equation of the following equation 1) y' = -x y+x

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Q: =iven √x³√4-x² dx. If we letz= √√4-x², which of the following integrals is correct using…

A: We have to substitute z=√(4-x^2)

Q: 5 -5 g(x) dx

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Q: find Sexcos'x dx by using integral by Parts.

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Q: Δ Ο Ο

A: Given; M=5 units , T=4 units

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: If y(v) = 10 COS 79 72 dr then

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Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. sin(2x - 6) sin(4x - 12)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Determine the x - y coordinates of the points where the parametric equation x = 3 sint y = 3 cost 0≤…

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Q: S tanx 1+ COS X JX

A: Given problem:-  ∫tan(x)dx/(1+cos4(x))

Q: a) Find the area of the region enclosed between the curve y = x² and the line y = 4x. b) Find the…

A: The objective is to find the area .