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Q: Evaluate the integral. S7 19n (sin x + cos y) dx dy O 8TT O 16TT O 9TT O 17TT

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Q: Justify your answer whether the following functions are continuous or not at a certain point or…

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

Q: Let u be a differentiable function of r. Use the fact that |u| = Vu2 to prove that u'- u # 0. %3D dr

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. | 8y dx…

A: Green's Theorem:- To find the line integral of a function along a closed curve C…

Q: Find the Taylor series for f(x) centered at the given value of a and the interval on which the…

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Q: cOS X 1. S dx V4-sin²x ´sinx` A. Sin-1(n*) + C cosx B. Cos-1(*) + C В. + C sin 3x . Integrate: S;…

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Q: Solve the initial value problem below using the method of Laplace transforms. on 1 y" +3y-18y=0,…

A: The given initial value problem is: y''+3y'-18y=0, y(0)=4,y'(0)=42

Q: Use the union rule to answer the question. If ​n(A)=8​, ​n(B)=9​, and ​n(A∩​B)=4​, what is ​n(A∪​B)?

A: Formula: n(A∪B) = n(A)+n(B)-n(A∩B)

Q: Let g(x) = So" f(t) dt, where f is the function whose graph is shown below. (a) Evaluate g(x) for x…

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Q: Find the absolute maximum of f(x,y) = 3x2y2 + 2y2 + 2x2 bounded by y = x, y = 0 and x = 5.

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Q: please

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Q: n²+1 Consider the sequence {a} '1=n'מ where a n²+4 • a. What is lim a ? n- 00 • b. What can you…

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Q: Find the taylor Series of f(x) centered at the given valve of a and the interval on which the…

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Q: Calculate the Taylor polynomial T3 centered at x = a for the given function and values of a and…

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Q: Let R=[a,b]×[c,d]. || e*sinyda = e*dx S siny R. C Select one: O True False

A: This is a problem related to double integration. Based on the general formula and concept we will…

Q: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+ 1)

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Q: Integrate: S sec t csc t dtis equal to A. In(tan t) + C B. In(cot t) + C C. In(csct – cot t) + C D.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find a power series for f(x) = In(1+ x). Hint: In(1+ x) is one antiderivative of (whose 1+x power…

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Q: ax + b XS -1 %3D ax + x + 2 b x> -1 d the values of a and b such that f is diffe

A: Given query is to find the value of a and b

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small…

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* – x %3D has a critical number…

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Q: height of 1000 feet reaches the gro

A: answer is in next step

Q: (a)the curl and (b)the divergence of the vector field. F(x,y,z)= ln(2y+3z)i+ln(x+3z)j+ln(x+2y)k

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Q: Sketch the region of integration for the integral (x+3y) dA, where R is the region in the first…

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Q: Consider the following. Demand Function      Quantity Demanded p = 500 − 3x      x = 24  Find the…

A: p= 500-3x , x= 24Let Ep be price elasticity of demandEp=px×dpdxdifferentiate p w.r.t xdpdx=-3

Q: Given the following limits, lim f(x) = 4, lim g(x) = 9, lim h(x) = 6, %3D %3D x→6 x→6 use the limit…

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Q: Suppose the graph y = f(x) lies entirely above the r-axis. Which of the following gives the %3D…

A: Let's find.

Q: 8. Find the curvature of the plain curve y = e.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: Sketch the region R under the curve y = 4x – x² above the x-axis from x = 1 to æ = 5. Use the…

A: Given problem:- Sketch the region R under the curve y = 4x - x2 above the x-axis from x=1 t x=5 Use…

Q: 3x2 lim 6. x→(-2) 2а — 8 x² – 4

A: As per Bartleby guidelines rule I am answering only first question as both question is different and…

Q: Sketch the region of integration for the integral sin(x) dydx. Draw the region on a piece of paper…

A: see below the answer and explanation

Q: Evaluate the integral. In 2 ey dx dy

A: Explanation of the answer is as follows

Q: na on y =a sec 4 7. Find the radius of curvature at x =

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Q: (b) (–1, 1, –V2)

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Q: An open top box with a square base is designed to contain 2000 cm³ of volume. If we let z denote the…

A: An open top box with a square base is designed to contain 2000 cm3 of volume. If we let x denote the…

Q: Find the y sec! (+) %3D

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Q: 3. Find the absolute maximum and the absolute minimum of f(x) = x-2 tanx on the interval [0,4].

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Q: b.) Use the pattern of successive differences to find the number of blocks in next L's. 1 4. 3 c.)…

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Q: Given the power series 2 (-1)" x" n = 0 Find the Integral of the Power Series. 00 A 2 (-1)" x" | dx…

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Q: dv Solve the differential equation ds s+1 You may leave your answer in implicit form. sv+s

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Q: If f'(x) and g'(x) exist and f'(x) > g'(x) for all real x, then the graph of y f(x) and the graph of…

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Q: continuous on the interval [-1,2), and is not differentiable on the interval (-1,2) urentiable on…

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Q: Find the possible value for each of the constants a andb that will make the function f(x) continuous…

A: A function is said to be continuous at x=a iff limx→a-f(x)=limx→af(x)=limx→a+f(x)

Q: Determine whether Rolle's Theorem applies to the following function on the given interval. If so,…

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Q: The slope of a function is given by f ′(x)  =  x−1/2 + 5x4 and it passes through the point (1, 1).…

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Q: Determine the area of the right half of the cardioid formed by r = 7+6 sin 0 14 12 10 8 6 2 -2 -4…

A: Explained below

Q: Determine whether the series is convergent or divergent. 1 1 + 4 + + ... 9. 16 25 Divergent…

A: 1) The given series is 1+1/4 +1/9 +1/16+ 1/25 +.....

Q: A stone is dropped from the upper observation deck of a tower, 750 m above the ground. (Assume g =…

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Q: Compute the first partial derivatives of the fol f(x.y) = 4 – tan 1 (3x?+2y?) -1(3x2 +2y)

A: f(x,y)=4-tan-1(3x2+2y2)partial differentiation w.r.t xfx=0-1(3x2+2y2)2(3×2x)…

Q: Suppose C is the curve r(t) = (6t,t°), for 0sts2, and F = (3x,3y). Evaluate F•Tds using the…

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