Question 1 A man on wharf 12 meters above the level of still water is pulling rope tied to a boat at the rate of 2 meters per minute. How fast (in meters per minute) is the boat approaching the wharf when there are 20 meters of rope out? A 2.7 B) 2.1 c) 2.5 2.3

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A: To evaluate line integral over X axis ,take y=0 and dy =0.

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Q: 7) Determine the total area bounded between the function y = 1 – x between 1 and 1. -

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Q: 5. [6.1] If vector ā reaches from the origin to point (5, –7), determine the magnitude of ā.

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Q: A2 (II)An investment of I grew to a value of £1648.72 after 10 years with continuous compounding at…

A: Find I.

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A: Equation of parabolic curve is given and in form X^2 = 4aY

Q: Q1. Which of these expressions is NOT factorised? А. X(х + 1)(х + 2) В. (х+ 1)(х+2) С. x (х + у) —…

A: Solving the problem by finding the correct answer.

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A: We need to find cartesian coordinates.

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A: We have to find the limit.

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A: This is a problem related to vector calculus. Based on the green's theorem we will answer the…

Q: Use local linear approximation to estimate In(1.08)

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Q: results when the region in the first quadrant bounded by the curve x2 + y2 = 82 from x = 3.4 to x =…

A: To find surface area.

Q: How many times will you use double angle identities to solve the integral of (sinx)^2*(cosx)^2dx?…

A: ∫ sin2x cos2xdx

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A: Let's find.

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A: f'(t) > 0 imply function increase with time.  f"(t)< 0 imply function is concave downward

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A: The objective of the question is determine the growth rate.

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Q: 4. Evaluate: lim (a² + e-*)(= cac r) エー→0+

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Q: Find T(t) and N(t) at the given point. r(t) = 4 cos(t)i + 4 sin(t)j; t = 3 r() - () V3 1 T .3 2 2…

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Q: 2. In the expansion of (2x + 3y)(4y – 3x) the xy term is : А. — ху В. + xy С. 8ху D. -9ху

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Q: Find the arc length L of the graph of r(t). r(t) = 12 cos(t)i+ 12 sin(t)j + tk, 0<t< 2n L= 75.66

A: arc length

Q: Calgary Board of Education CBe-Learn . Find the intervals where the curve is concave up or concave…

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Q: 4x + 2(x+1) ≥7+x

A: Solution: According to your given question, we are solving for x 4x+2(x+1)≥7+x

Q: 2x-5y ≥10 y-axis 4 3 2 1 -54-3-2-1 1 2 3 4 5 6 6 5 N -3 -4 -5 -6 x-axis

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Q: if x 2 a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.)…

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Q: This is a graph of f'(x), the derivative of f(x). At which of the marked values is: f(x) greatest?…

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Q: summation

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Q: 2. Find the critical points of f(x, y) = x³ + 2y³ – xy and analyze them using the Second Derivative…

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Q: [6x? arcsin(x)]dx

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Q: Evaluate each of the following definite integrals 4 |x- 3| dx (x2 - х) dx х2 +x+1

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Q: Q8. Identify the function, whose derivative is defined below: (x + h)2 – x? dy - lim dx h→0 h A.…

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Q: Q9. Which of these is not the derivative of the function, y = x": A. -½x1½ В. — 0.5х-1Vx-1 С. -0.5 1…

A: This is a problem related to differentiation of the function. Based on the general formula and…

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Q: Solve for the Maclaurin series. You can write the first 5 terms or express in summation notation…

A: Maclaurin series is expansion of function at x= 0.

Q: c. The area between y sin x and the x – axis for 0 < x< a

A: Area between the y=sinx and x axis from x=0 to x=π

Q: Please

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Q: (b) Given the demand function P = 120 – 3Q, fixed cost, FC of 50 and variable cost, VC of 5 per unit…

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Q: x + 21 x + 1] 4 2. Find x and B, if B is symmetric. %3D

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: An object moving along a horizontal coordinate line has directed distance s(t) = t - 6t2 + 9t + 11…

A: s(t)=t3-6t2+9t+11 Differentiating with respect to t s'(t)=ddt(t3-6t2+9t+11)=3t2-6*2t+9+0=3t2-12t+9…

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A: Solving the problem by finding the perfect transformation.