Evaluate the following. [[ f (x, y) ds S f(x, y) = x + y S: r(u, v) = 4 cos(u) i + 4 sin(u) j + v k, 0 ≤ u ≤ π/2,0 ≤

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A: The objective of the question is determine the general circle equation ,centre and radius.

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Q: 2 if x = -4 Select all statements below that you agree with. Note: You may be checking more than one…

A: Please refer to the image below

Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth.…

A: NOTE: Refresh your page if you can't see any equations. . using the calculator we can find the…

Q: Use implicit differentiation in finding y'. 1. x² + y² =18xy 2. x²y + xy² = 6

A: Given,x3+y3=18xyDifferentiate w.r.t.'x'(Use product…

Q: + -3 -2 3 lowest = middle = highest- 2 1 -1 1 3 For the above rational function f(x) = + a 17x 3.5r2…

A: f(x)=17x3.5x2+2 We know, if x=a is the inflection point of f(x) then f''(a)=0

Q: Sketch the region of integration and evaluate the following integral. SS= 4+ R -dA, R= {(r,0):…

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Q: 4. The associated auxiliary equation with the homogeneous linear differential y"+2y' + y = 0 is A.…

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A: NOTE: Refresh your page if you can't see any equations. . the compound interest formula is given by…

Q: 2. If y = C₁ cos2x+C₂ sin 2x+2sin x is the general solution of a certain nonhomogeneous LDE, which…

A: The given general solution of non-homogeenous  LDE.  y= c1cos2x +c2sin2x +2sinx   We have to find…

Q: 2).  Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic equation for C =…

A: Given problem:- Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic…

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Q: 2 (a) Find a quadratic function for the model of the data that gives the quantity sold at x dollars,…

A: Calculus

Q: Suppose de cos 0 sin³0. Answer the following. 6) Separate the differential equation, then integrate…

A: answer is in next step.

Q: Solve the equation x³ - 13x² +47x-35=0 given that 1 is a zero of f(x) = x³ - 13x² +47x-35. The…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: answer is in next step.

Q: Consider the function f(x) = 12x5 + 60x¹ - 240x³+4. f(x) has inflection points at (reading from left…

A: I am attaching image so that you understand each and every step.

Q: Select all rational functions. There are several correct answers. 7x²+2x-6 3 3 7x²+2x-6 7x²+2√x-6…

A: Rational Function : A rational fraction, which is an algebraic fraction such that both the numerator…

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Q: Question For the following graph of a function, estimate the area under the curve on the interval…

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Q: A curve is defined implicitly by the equation ax+by² = p.2 Given that a=27, b=-4 and r=3, find the…

A: Given problem:- A curve is defined implicitly by the equationax+by2 = r2Given that a=27, b=-4 and…

Q: s²+1 Find the inverse of Laplace transform of log (² (s−1)²,

A: =L^-1[log(s^2+1/((s-1)^2) =2(e^t-cos(t))/t

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A: Formula: If the area of the cross-sections of a solid at y is A(y) for a≤y≤b, then the volume of the…

Q: -5 -4 -3 -2 -1 4 3 d₂ N -2 -3 A At the point shown on the function above, which of the following is…

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Q: curity According to a certain news poll, 63% agreed that it should be the government's…

A: Topic:- Probability

Q: 3x + 8 Consider the function f(x) = . For this function there are two important intervals: (-∞, A)…

A: Find out the value of A at which the function is not defined.

Q: Let R be the region bounded by y=x², x=1, and y = 0. Use the shell method to find the volume of the…

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Q: For the function, locate any absolute extreme points over the given interval. g(x) = −3x2 + 14.9x −…

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Q: The base of a three-dimensional figure is bound by the line y = 4 sin(x) on the interval [0, 1].…

A: To find the volume.

Q: Q6. Angle a is acute and COS a = (a) (i) (b) 3|5 Find the value of tan a as a fraction. Hence show…

A: Given problem:-  Angle α is cute and cosα=35Angle β is obtuse and sinβ=12 (i) find the value of…

Q: Suppose dP dt and P(1) = 4. Answer the following. 3) Separate the differential equation, then…

A: The objective of the question is evaluate the indefinite integral.

Q: Find the indefinite integral. [Hint: Use some algebra first.] (Use C for the constant of…

A: ∫t-2t+6t2dtExpand:=∫4t-12t2+1dt=4∫1tdt-12∫1t2dt+∫1dtWe know that ∫tndt=tn+1n+1

Q: Find a power series representation for the function. (Give your power series representation centered…

A: answer is in next step.

Q: Use Stokes’ Theorem to evaluate the line integral  ∮  F·d r where F = 〈x^2−z^2, y, 2xz〉, and C is…

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Q: Evaluate the following limit using L'Hospital's rule. lim (e5z - 2.x) (+) I+0+

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: Question 3 Find the standard form of the equation of the ellipse satisfying the given conditions.…

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Q: Evaluate f2Tof 1 0 rdrde

A: The given integral is: I=∫02π∫01rdrdθ   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: 1. -(3 cos² 0 +8 cose-12) sin 8 de cos³ 0+7cos2 0+ 12 cos 8

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

Q: For the function, locate any absolute extreme points over the given interval. (Round your answers to…

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Q: Find the domain of the following rational function. h(x)= X+9 2 x²-81 Select the correct choice…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Major axis…

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Q: A. By power series, solve the ODE y' - 2xy = 0. R P

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Q: Does the series n=1 n5/4 converge or diverge?

A: The given series is 1/n5/4, n from 1 to infinity.

Q: Find the total change of f(x) between x = 0 and x = 2, when df = 4x² + 3x.

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