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Q: For the function glven below, use algebra to evaluate the limits lim f( メー→+ lim f(x), and limf(x)…

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Q: 3. x'sec'ydy - (1– 2x'tany)dx = 0

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Q: 6. Find the area of the region enclosed by the graphs of y = VT+1 and y = r – 2 and the vertical…

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Q: a) A small metal bar, whose initial temperature was 10° C, is dropped into a large container of…

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Q: An angle's initial ray points in the 12-o'clock direction and the terminal ray rotates CCW. Let θ…

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Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: S16 -X2 メー dy dx + x?+yz

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: 2- Use the inversion method to solve the following system: x+3y+3z=1 x+4y+3z=0 x+3y+4z=-1

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Q: If 0<c <d, then find the value of b (in terms of c and d) for which (x + b)dx= 0. b = (Type an exact…

A: Evaluating the definite integral and equating it to 0

Q: arctan(tan30°) = _____.

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Q: The graph shown below is fx) = x + 1. What is the integral function g(t) that defines the area under…

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Q: 2.Solve bernoulli (x ^ 2 + y ^ 2) * dx - xydy = 0

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Q: e^x + y)dx +(2 + X + ye^y)dy= 0 ,y(0)=1

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Q: Use the series representation for cos x, cos x = 1 – + to find the following three items: 6! 1- A…

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Q: Which one is one of the critical points of the function f(x, y) = 2x + 2y + 8x - 4y + 11? Select…

A: Solution is given below:

Q: a). Find the linear approximation to f(x) = VI at r = 64, (b). Use it to approximate V65. c).…

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Q: 1. Find derivative, critical numbers and the absolute maximum and absolute minimum values of f(z) =…

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Q: y+1-2 dy

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Q: (b) dx (1+ x²)² 0,

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Q: A ball is thrown into the air and its position is given by h(t)=−7t^2+41t+23  where h is the height…

A: Given the position function of the ball is h(t) = −7t2 + 41t + 23

Q: 5dz (z+4)Vz+1

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Q: Determine the Riemann sum that represents the illustration below. The function is Ax) = x2 + 1. .Y…

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Q: where does this concave up and down?

A: A graph is concave up if f''x&gt;0 and concave down if f''x&lt;0. When f''x&gt;0, it means…

Q: 3m 5. rad 9. 1.1 rad 13. 1.6 rad 4 6. rad 10. 3.1 rad 14. 2.1 rad 2- rad 3 11. 0.50 rad 15. 0.091…

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Q: 3x + 2 dx Vx + 1

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Q: Evalu at e the in deffinite integral. 2

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Q: integral. Give your answers as fractions 3 (i) dx V1- x2

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Q: x2- 1 If A = limx→1 х + 6x2 — 5 and B = limx¬c0 then х — 1 х4 + 6

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Q: 4. Solve the second order differential equation given by 2 dt2 3z = 4c", z(0) = 0, dt dr(0) 0. dt

A: We will solve the second order differential equation.

Q: (X²y² + 1)dx +2x²dy =0 use the substitute xy=u

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Given:      y=4sin3x      y=4cos3x     x=0, x=π12 Volume of solid of revolution between curves is…

Q: Two equations and their graphs are given. Find the intersection points of the graphs by solving the…

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Q: dz If z = 4xy, x = 2t, y = 1- t then at dt t = 3 is: Select one: O None of them O -38 O -37 -39 O…

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Q: Find the area of the region bounded by the line y = 4 - 2x and the coordinate axes. Draw the graph

A: Given query is to find the area bounded by the line.

Q: The Maclaurin series for f(x) = x²e=* is E-o(-1)" xn+2 п! False True

A: I am attaching image so that you understand each and every step.

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 10, (2, 3) Vf(2, 3) =

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Q: Consider the following planes. 3x + 2y - z = 42 x - 4y + 2z = 0 (a) Find the angle between the two…

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Q: Зх — у 3 4 -2x +y = 5 - %3D

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Q: xdx + ydy = (x+ x¯ +y° )dx

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Q: Sv amate the indefinite integral Ancwer in simplest furm (Hactored porm) 1682-9

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Q: Calculate the fluid force F on the shaded side of the triangular plate submerged in fluid with mass…

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Q: Using the partition method, find the inverse of 4 3 1 - 1 3

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Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: The integral in this exercise converges. Evaluate the integral without using tables. 00 - 1 12 tan'w…

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Q: he vectoi the given maghitude and the same direction as u. Magnitude Direction ||v|| = 19 u = (0, 2,…

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Q: 6 arcsin(sin 40 ) = _____. -40° -220° 40° 220°

A: Solve the following

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Q: olve the differential equation with the appropriate method. Finalize answer free of fractions and…

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Q: rals below. For each integral, first calculate the related indefinite inte- on by Parts, then…

A: We will find the integration.