Sketch a graph of f(x) = = -5 -4 -3 -2 -1 Clear All Draw: 4 3 2+ H -1 -2 -3 -4 3 N|W 2+1 2 3 10 .

Q: 5 Use the formal integral calculus definition of the Laplace Thans form to find the Laplace Show all…

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Q: Find the integral. 9e 0.2x dx. O 45e0.2x + C O 9e0.2x + C O 9e0.2x + 1 0.2x + 1 + C O 18e0.2x + C

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Q: 1.) Determine and state whether each of the following sequences converges or diverges, justifying…

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Q: 4. Find the limit of the sequence an = 2arctann n³ +4

A: The given sequence is

Q: Given this: For each 11 roman 4 Global max دا 2) Local max 27 Local minimum. numera iv 2 global…

A: For the given graph, there is global maximum point is denoted by (i)andlocal maximum point is…

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

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Q: 1. Evaluate each limit: lim x+5 3x x² + 1 x-1 lim x1 x² + 2x - 3

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Q: nction y = f(x) looks like this: what y = fl (x) would be ? चि etermine what X लिए फ tr LD

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Q: Find the centroid (x, y) of the region bounded by y = 8x² + 8x, y = 0, x = 0, and x = 4.

A: The region R is bounded by the curves y=8x2+8x,y=0 (the x-axis), x=0 (the y axis), and x=4.

Q: Find Gamma Function for (a)T(S); (b)r(7):(©r( 2 -3 2

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Q: H.W (3) Solve the following differential equations of ra (y² +1) dx + (2xy +1)dy=0

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Q: 8. One-sided and two-sided limits Use the graph of g in the figure to find the following values or…

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Q: Solve the initial value problem: y'-4y = 0 y (2) = 10

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Q: Find the indefinite integral. Include a multiplication sign between functions. For example, z. e². |…

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Q: ро b) Point P (3, 7) is in coordinate. Express this point in cartésion coordinate

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Q: use the integral test to decide whether the series converges or diverges. Σ M8 M8 n=1 Σ n=1 1 (n +…

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Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: 9-3÷ 1 3 +1:

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Q: Find the indefinite integral for the function using the substitution u = 1 x 8x2+5 dx = 8x² + 5. 1-…

A: To find the following indefinite integral.by using the substitution .

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim X→∞ lim…

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Q: Convert the Cartesian coordinate (-6, 2) to polar coordinates, with 0 ≤ 0 0 r= 2√10 0 =

A: To convert the Cartesian coordinates to polar coordinates,with .

Q: Find the curl of the vector field F curl F = 2.1 = + k

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Q: ***Pls help me with the accurate answers ASAP plss*** Aparallelogram has sides of lengths 8 and 6,…

A: A parallelogram has sides of lengths 8 and 6, and one angle is 39°.To find the lengths of the…

Q: [(8y-3)-4dy

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Q: Suppose F(x, y, z)=(x, y, 42). Let W be the solid bounded by the paraboloid z = x² + y² and the…

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Q: The cable for the central span of a suspension bridge takes the shape of a parabola. If the towers…

A: The tower is 900 meters apart and the cables are attached to them at points 500 meters.

Q: Perform the indicated operation and reduce to simplest form.ne 8. x³ (x-1)² (2+x)(2-x)

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Q: Suppose 284 mg. of a radioactive substance are present in a closed container and additional amounts…

A: Initial amount (No)= 284 mgDecay constant (k)=-0.02174 day-1Additional amount added = 3 mg every day

Q: If s(t) is the position of a particle in linear motion, then v(t) = s ′ (t) is the instantaneous…

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Q: Solve the ODE: 4x (4e sin y - 28y² sin (7x)) dx + (e¹* cos y + 8y cos (7x)) dy = 0 Entry format:…

A: Let an exact differential equation is as follows Then solution of the above differential equation is…

Q: The one-to-one functions g and h are defined as follows. g={(-9, 0), (1, −8), (2, 3), (8, 1)} h(x) =…

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Q: Find the exact value of tan¹(-1). Write your answer in radians in terms of it. tan ¹(-1) = B X

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Q: +³ 3 y=a+t, √a ≤ t ≤ √a X || +at,

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Q: n=1 n2x2n 22η find the interval of convergence.

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Q: the linear function whose graph passes through (3,2), and is parallel to the line y=3x+8

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Q: If we were to draw a line with a positive slope m, and assign the acute angle between the line and…

A: Slope = m (a positive value)The slope of the drawn line,The tan of the acute angle,From equations…

Q: A yeast culture is growing at a rate of W'(t) = 0.4e0.12t grams per hour. Find the area between the…

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Q: c. 6.071 x 10-5-8.2x 10-6-0.521 x 10-4 d. (3.8 x 10-12 + 4.0 × 10-13)/(4 x 10¹2 + 6.3 × 10¹3)

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Q: Find the tangent plane and normal line equations for the surface x²+4y²+z²=12 at point (2, 1, -2)

A: we have given surface and point of tengency  To find: equation of tangent plane

Q: Consider the initial value problem y" + 4y = 8t, y(0) = 4, y (0) = 8. a. Take the Laplace transform…

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Q: Write out all functions ƒ : {1,2} → {a,b,c} (in two-line notation). How many functions are there?…

A: Given function

Q: Calculate sin 37◦ accurate to three decimal places using a Taylor approximation. Check your answer!

A: Sin(37 degree) Find the value of Sin( 37 degree) by Taylor approximation.

Q: Line 1 is defined by slope m = 3 and y-intercept (0, −2). Line 2 passes through the point (3, 5) and…

A: Line 1 is defined by slope m = 3 and y-intercept (0, −2). Line 2 passes through the point (3, 5) and…

Q: F (7) Solve the Laplace do not the following initial value problem using Transform. Alternate wonk.…

A: The given equation is; X''-X'-12X=0, X(0)=0, X'(0)=35

Q: {dn} = SA { (. (₁₁²³²7) - (₁~^²+₁ ) ) ²^ } - (ⓇP) :)

A: The given sequence is defined by the formuladn=15((1+52)n−(1−52)n) We can find the first five terms…

Q: Find the area of the surface generated by revolving the curve about the given axis

A: For the x-axis, the formula is given as,For the y-axis, the formula is given by,

Q: 3. Use the graph of h in the figure to find the following values or state that they do not exist.…

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Q: Given: (x is number of items) Demand function: d(x) = 4800 √x Supply function: s(x) = 3√x Find the…

A: Given: ( x is number of items)Demand function: d(x)=4800x.Supply function: s(x)=3x

Q: Write down the first five terms of the following recursively defined sequence. a₁ = 5; an+1 = -2an 4…

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Q: Given lim f(x) = -5 and lim g(x) I-4 I→4 lim (-2f(x) + 6g(x)) = I-4 lim (-2+6f(x)) = lim I 4 -2f(x)…

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