Rewrite the following equation with the variables separated: y dy cos y dy dx = dy cos y o dy = 1 = -dx 3x+5 3x+5 = ● Cos y 3x+5 cos y (3x + 5) dx dx = cos y 3x+5

Q: COSINE LAW * A 40 meters high tower stands vertically on a hillside (sloping ground) which makes an…

A: T is the height of the tower. x is the horizontal distance between the tower and the tree. a is the…

Q: (B) x = -and x = -3 14. On which interval(s) is the graph of f(x) increasing? (A) (-∞0,00) (B) (-∞,…

A: Note : as per guidelines we support only three subparts of the questions.kindly repost next…

Q: 4. Given the table below for selected values of f(x), use 6 right rectangles to estimate the value…

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Q: How is the series 2 + 6 + 10 + ... + 86 represented in summation notation? 21 Σ(4k + 2) k=0 21 Σ(4k…

A: The objective of the question is representation in summation notation.

Q: Identify the quadrant for the angle 0 satisfying the following conditions. sin 0 0 and cos 0 <0

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Q: Find an angle that makes the statement true. Use the Cofunction Identity. cot(50 – 32˚) = tan(0…

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Q: 3 ne the area bounded by the functionsf (x) = (x+1) ³ andg (x)=x+ 1. one of the given choices 1 -…

A: Please refer to the image below

Q: Find the derivative of G(x) = √ x³ t.csct dt. O-3x5 csc r³ cot x³ -3x² csc x³ cot x³ Ox³ csc x³…

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Q: Find the angle of least positive measure coterminal with the given angl 869°

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Q: 9. Use the Limit Comparison Test to determine convergence or divergence. a. b. 1 k=1 √k³ -k+1 5n…

A: The given series a) ∑k=1∞1k3-k+1b) ∑n=1∞5nn3+1

Q: Decide whether the relation defines a function. {(-8, 2), (-8, 8), (1, -9), (6, 3), (7,5)} Not a…

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Q: What are the values of x where tangent line of graph of f(x)=1/x is parallel to the line y=−5x+4.…

A: Follow the procedure given below.

Q: Solve the following equation for x. log, 81 = 4 O 20.25 9 324 0 3

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Q: -Consider the function defined by the base: Find dz ) Prove that дz +y əx дz ду = sin 2z z =…

A: Topic:- application of derivatives

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 12…

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Q: Consider the following. Function y = 5e¹-x² (a) Find an equation of the tangent line to the graph of…

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Q: 3. Given the function f (x) = (x-100) (x+125) (x-70)² + 40 explain how the equation connects to the…

A: f(x) =(x-100)(x+125)(x-70)2+40

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

A: a. Given that, the function is fx=e-10x. Note that, the Taylor series expansion for the function fx…

Q: dy dx What is y(2)? Suppose = 6x² + 2x − 3 and y(0) = 4. - oy(2) = 14 oy(2) = 16 oy(2) = 18 oy(2) =…

A: The answer is given below:

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Q: If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis, the limits of…

A: we have to find limit of function  here function is given y = x x =4 and x axis  x axis means x = 0…

Q: h(x, y) = x³ − 3x + 3xy²

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Recall: L-1s2s2+a2=cosat Given, L-116s16s2+1

Q: Find F(s). F(s) = L{(1 et + 5e-3t)cos(6t)}

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Q: Solve y(1): dy/dt + x = 1; dx/dt -y + 4et = 0; x(0)=0 and y(0)=0. 6.33 4.89 O 7.10 3.51 O 1.80

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Q: 1 =44zz_4s + s} s2 -

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Q: Verify the Divergence Theorem by evaluating [/F. F. N ds as a surface integral and as a triple…

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Q: Find the average value have of the function h on the given interval. h(u) = (9 — 6u)−¹, [−1,1]

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Q: 7 The volume of an ellipsoid y + + fixed, show that the ellipsoid of maximum c² 4πabc 3 volume is a…

A: Ellipsoid : x2a2+y2b2+z2c2=1Volume of ellipse : 4πabc3a+b+c is fixed

Q: 2-if y³ = ln xx

A: Please refer to the image below

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Follow the procedure given below.

Q: TT secx dx cot 3x

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Q: Which recursive sequence would produce the sequence 7, 33, 137, ...? a1 Ο αι Ο αι = a1 :7 and an = 7…

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Q: A region bounded by f(x) = √√√x + 2, y = 1, x = 4, and x = 0 is shown below. Find the volume of the…

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Q: What is the total change O -1

A: topic:- function

Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface.…

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Q: Find the sum of the first 6 terms of the following sequence. Round to the nearest hundredth if…

A: Our Aim is to find the sum of the first 6 terms of the following sequence givenbelow:-8, 4,…

Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

A: Recall: log ab=b log a log(ab)=log a+log b

Q: |2x+4| lim x->-2+ √x+2

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Q: Suppose the Maclaurin series of a function is f(x)=2+3x+2x² + x³ + x² + .. Find the first four…

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Q: Which of the following graphs is the slope field for dx 12 -3-211. s 2 13 US 111-2-/35 1112 111²-111…

A: Here we have to solve the given differential equation and plot the solution

Q: 4). Write the first-order differential equation in standard form. (Use yp for y'.) y' = x9y +…

A: Solution is given below:

Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x — axis, the limits…

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Q: Given data points: (-2, 1), (-1, 2), (0,1), (1,2), (2,1) Calculate the error vector and the error…

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Q: ate algebra and Theorem 7.2.1 t 3s 10 s² + 25.

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = {f(t)} and n = 1, 2, 3, . . . ,…

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Q: S A. sinxcosxdx √esc²x-1 2 B. 7 COS X 7 5 COS X 5 5 cos³x x + C X 5 7 COS X 7 +C C. D. sin7 x 7 5…

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Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 2n +4n in (2n) X

A: Follow the procedure given below.

Q: Problem 2: The point P(0.5, 0) lies on the curve y = cos T.I. (a) If Q is the point (r, cos .r),…

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