Convert the point from cylindrical coordinates to spherical co (3,2,0) (p, 0, 4) = || X

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 0 3 2- AA. - 2n…

A: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below.

Q: the distance from the point (5,3) to the line 2x+4y+5=0 is

A: solution

Q: Determine as and an for each geometric sequence. See Example 2. 15. a₁ = 5, r=-2 16. a₁ = 8, r=-5 +…

A: geometric series

Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: a. f(x) = on [-1,4] 1²+2 b. f(x) = I√4-1² on [−1,2] c. f(x) = 2 sec r - tan r on [0,1]

A: At the  extremum of a function f(x), the first derivative is zero.

Q: 16. (a) 6 dx (b) -10 (c) √² 2) |x - 2| dx (d) 17. In each part, evaluate the integral, given that…

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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: ₁ x³ In x dx e 3

A: Solving the problem by finding the value of the integration.

Q: Evaluate the iterated integral. LP'&x+yaxay (x + y²) dx dy

A:

Q: COS X 6. y = x What is the appropriate formula? dx Solution:

A: Given query is to find the derivative of the expression.

Q: Convert the following lines to parametric equation. a) l₁: = (1,0,1) + t(1,0,−2), t = R Z-3 b) 1₂: x…

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Q: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x

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

A: Solving

Q: A. Solve the following Systems of Non-Linear Equation 1. Use any of the Analytical Solution Methods…

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

A: Integration

Q: 3. Find 4 {0 21 jucosudu } using the properties of Laplace transform.

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Q: It is known that the area of a polygon with vertices (x₁, ₁), (x2, 12). (x, yn) is equal where we…

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Q: Question You work at a farm that wants to build three identical rectangular corrals in a row against…

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Q: Let f(t)= for 0<t<1 for t≥1 a. Find L{f(t)} by using the definition of Laplace transformation. b.…

A: Let's find.

Q: du u+√4u² - 1

A:

Q: Use the second derivative test to find the location of all local extrema in the interval (2) for the…

A: We can solve as follows

Q: Find the orthogonal trajectories of the family of curves x² - y² = (² A x² + y²=C² B) xy=C (C) x-y=C…

A: We can solve as follows

Q: Determine whether the improper integral diverges or converges. [.. cos(2x) dx converges diverges…

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Q: 2) √ x¹ (5-x²) dx

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Q: Is partial fraction decomposition always possible? If YES, Explain If NO, Explain

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Q: 2. dx ***S 1 - x4

A: Integral

Q: Let C₁ be the circle r = 3 cos 0 and C₂ the cardioid r = 1 + cos 0. O (a) Find all point (s) of…

A:

Q: the slope intercept equation of a line that passes through (0,-6) and (3,-4) is

A: Given points are (0,-6) and (3,-4)and here (0,-6) is (x1,y1) and (3,-4) is (x2,y2)We know the slope…

Q: At what points c does the conclusion of the Mean Value Theorem hold for f(x) = x³ on the interval…

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Q: Evaluate the iterated integral. 6 [[° (x + y) dy dx

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Q: If F(x) = f(t) dt, where f is the function whose graph is given, which of the following values is…

A: F(4) is the answer.

Q: Analysis of daily output of a factory shows that, on average, the number of units per hour y…

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Q: Evaluate fi fi fi (xy+z)dxdydz Note: input your answer in two decimal places (example: 1.05, 2.53,…

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Q: - x2 x² - 2x - 1 (x − 1)²(x² + 1) da

A: Given problem:-

Q: 3. y = (x+b)(x-a). (x-b) ; y

A: A detailed solution is given below. Use logarithmic differential to solve it.

Q: 3. Find the derivative y' for each of the following curves/functions. Show all work toward your 12…

A:

Q: 2. y=(2 tan² 20-1/²

A: To find derivative of given function.

Q: Evaluate finne sin(e) e dydx

A: To evaluate the given integral.∫0ln 1∫ln 10ex siney ey dy dx

Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.

A: Given :

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.

Q: Find the indefinite integral. Solution in handwritten. 1. f(x²-9)(2x) dx (-8x)√3-4x²dx 2.

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Q: 9. f(-5) = (5)²-19 = 25 -19 -6 b. lim x²-19 X→-5 = (-5)² -19 = 25-19 = 6 с C f(-5) = lim f(x) X-7-5…

A: Solution is given below:

Q: Find the Definite Integral Exactly and use Desmos to explain what you just found. -2 3. S²(x² - 3*)…

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Q: The proper transformation for sin²x to make the f sin²x dx readily integrable is {A} 1- cos²x {C}(1-…

A: Given the query is to find the correct option of integral.

Q: 4. Compute each of the following definite or indefinite integrals. Show all work toward your answer.…

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Q: (1 + x) – Σ - (n).", -Σ n=0

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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: 7. ft³10t+-3 dt

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Q: Find the instantaneous rate of change cope of the tangent line to 2 (3,-2) 1

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

Q: [18x² √6x³ +5 dx 3 ○a. — (6׳ +5)³/4 + C b. (6x³ +54/5 + Oc.5(6x³+5)¹/5 + C d. 5 Od (6x³+5) ³/4 + C…

A: