Find a function g(0) that describes the height of a point P above the x-axis as a function of the angle for a circle of radius 4 and center (1,8). g(0) www

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Q: 3-2ey 3y-zey dy is Зу-2еу {A} - In|3y - e²y|+C The f

A: we have to find the integration.

Q: Evaluate the following integrals. 2. √x*+5x³ x+5x³+20x+16 x(x²+4)² dx

A: The given integral is ∫x4+5x3+20x+16x(x2+4)2…

Q: Value Theorem. Provide your answer below: C= ntent attribution Previous MacBook Pro G Search or type…

A: The given function is;  f(x)=8x2-8x on the interval [0,1].

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A: We use the properties of parametric curve

Q: A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

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Q: Evaluate the following integrals. 2. √x* +5x³+ x+5x³+20x+16 x(x²+4)² dx

A: Solving

Q: Find the amount of money that accumulates when a one-time lump-sum investment of P = $50, 000 is…

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Q: What is the rate of change of distance between the top of the ladder and the ground?

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Q: 2. Find each indefinite integral CS Searned with (278x²) da eamscanner 2.5

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Q: 3.In 2 X 3x + 1) = ² ₁ X ‚ y'

A: Let us consider the expression, ax+by=c Using Implicit differentiation on both side we get,…

Q: dy Find given that dt x² + y² = 2x + 4y, x = 3 y = 1, and dy = | dt dx dt = 6

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Q: Find the 6th term in the binomial expansion below with Sigma notation. 8 3 3 / 4.x²³ - √x. - 3)

A: Let's find.

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: 1. Given the following matrices: A = 1 2 3 4] 24 6 8 1 3 5 7 -1 2 -3 4 a. [(AC)BT] - DT b. [(BD)…

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Q: 0 if t 5 Find the Laplace transform, F(s) of f(t) F(s) = ķ

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Q: 4 1. y = cost-sin ¹ t 2. y = (2 tan² 20-1)/²

A: Given : 1) y= cos4t-sin4t2) y=2tan22θ-112   To Find : Derivative of the given functions.

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Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m − n)] dx…

A: Let's find.

Q: Given that f (t) = t³e²t sint, which process will yield the less complex and correct Laplace…

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Q: √81 - y² ST (x + y) dx dy

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Q: 3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

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Q: Activity 4: Determine whether the functions below are continuous or not on a given point or a given…

A: A function f(x) is continuous at a given point x=a   if following conditions are hold: (I)…

Q: to express the integrals as limits of [ f(x) dx (b) [f(x) dx

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Q: For a person at rest, the velocity v (in liters per second) of air flow into and out of the lungs…

A: Explained below

Q: Find the indefinite integral. Solution in handwritten a. S dx sin x cos²x

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Q: Let f (x, y, z) be a function such that : (i) the function f (x, y, z) decreases most rapidly at the…

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Q: (-5,5) 14(x)=x²-19 9. f(-5) = (5)²-19 = 25 -19 - 6 b. lim x²-19 X→-5 = (-5) ² -19 = 25-19 C f(-5) =…

A: Let's find.

Q: Part 1: Part 2: Part 3: Part 4: Let h be the height of APQR. Find the length of the corresponding…

A: Part 1  as h is height  base  = PQ  length of base = 20 mm

Q: Evaluate the following: 1) f sin x sin(cos x) dx

A: Integration

Q: The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2…

A: To solve the given integral using substitution.

Q: Let ₁1 and In+1 = limit. 1 for n N. Show that this sequence is convergent and find its In + 2

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Q: + + Find the area of the portion of Sphere x² + y² + 2 = 9 betw= the planes Z=1 and 2 = 0. Draw

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Q: . Given the fx²dx, which of the following is the integrand? C. x² A. 0 B. 2 D. dx

A: To determine what is integrand.

Q: 1. find dy/dx of each equation using implicit differentiation. a. x2 - y2 = 9 b. 3x2 - y3 -3xy = 0

A: As we know that; The Power law; ddxxn=nxn-1 The Product rule; f·g'=f'·g+f·g'   Given: (a). x2-y2=9

Q: 2. (4x³-3)dx

A: Let's find.

Q: 4. Find the antiderivative of 1-t4 = CS the t that satisfies the given condition R(1) = 4

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Q: Consider a triangle ABC like the one below. Suppose that b=58, c=34, and B= 108°. (The figure is not…

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Q: 1. An undamped spring-mass system with mass m = 2 and a spring constant k = 8 is suddenly set in…

A: Solution in step 2

Q: Evaluate the iterated integral. (x + y²) dx dy THERE

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Q: b) Determine whether the series n=1 find its sum. Show All Your Work! n-l is convergent or…

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Q: Use properties of the cross product to find the area of the parallelogra nerated by the two vectors…

A: Recall: Area of the parallelogram form by two vector a and b is a×b

Q: Question Use the binomial series expansion, 1 for the function f(x) = = ✓1+4x4 If necessary, round…

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Q: Evaluate the iterated integral. 1₁1²₁1x². (x² - y²) dy dx

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Q: Find the average value fave of f(x) = f(c) = fave. fave = C = between 1 and 1, then find a number c…

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