Assume that f(x) = 5x + 2 and f is defined on [-1,5). Then f has an absolute maximum value at 5. Select one: True False

Q: Find the point of the porabola y=x²-4x+3 where the tangent is parallel to the line 3x+y=2. Determine…

A: topic- equation of tangent line parallel to given line

Q: What is the derivative of the expression (xy)" = e 1+ In(xy) 1+ In(xy) y O Option 1 Option 2 1+…

A: Given (xy)x=eTo find Derivative:

Q: 5. For z=x2siny show that 332 332 = дудхду дугдх

A: Topic = Derivative

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Q: 2. Consider the following vector function: r(t) = = a cos wti + a sin wtj + bwtk, where a, b and w…

A: We need to find radius of curvature.

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A: The ultimate test for a function is vertical line test.

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Q: Consider the second-order differential equation + 25y = 4.5 sin(8t). d²y dt² Find the Particular…

A: The given problem is solved below in detail.

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A: First we should recognise the small volume dv and then integrate it between the appropriate limits.

Q: 1014x + y – 3z = -3 0-x-3z = 13 Bx +5y-4z = 20 %3D

A: Given equations 4x+y-3z=-3              (1) -x-3z=13                   (2) 3x+5y-4z=20…

Q: For each graph below, state whether it represents a function. Graph 1 4 2- Function? Function? -2 O…

A: We have to check the function

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Q: Calculate the value of cos8π° using two terms of the appropriate series. Compare with the value…

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Q: Consider the curve defined by the equation y = 5x + 3x. Set up an integral that represents the…

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Q: nd the area bounded by the given curves, axes and/or line 1. у? + х — 4у %3D5;B у-аxis 2. у %3D 3х —…

A: Here I am providing my handwritten solution

Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

A: topic - equation of tangent line which is perpendicular to given line

Q: -5x+y3-3 3x -8y 24

A: We have to solve the given equations

Q: Let f(x) = ln(x² + 2x + 3) f'(x) =

A:

Q: 4. f cot²x csc ³x dx

A: Topic:- integration

Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: Find the arc length of the graph of the function f(x) = 2√³ from * = 2 to x = 6.

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Q: If f(x) = 10(sin(x))", find ƒ'(2).

A:

Q: d?y Consider the second-order differential equation dt? + 49y = 2 sin(8t). Find the Particular…

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Q: Find the exact value. (a) sin( (b) arctan (-) (c) arccos (cos())

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Q: What is the slope of the curve when x = 2 radians? * y = 4 cos(x) + sin(2x) -2.21 -4.94 -3.25 2.21

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Q: If f(x) = 5x² ln(6x), then f’(x) = f'(x)= f’’’(æ) = f (*) (2) = f(5)(2) =

A: Please see the answer below.

Q: € 4. If y=u² and u = x³ + 4 determine dx

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Q: 5. If fx) = ene0", find f"(0). a. e b. 1 C. 7 d. 0

A: Derivative

Q: If f(x)=√x² - 1, then 0 is one of the critical numbers of f. Select one: True False

A:

Q: Using Cramer's rule to solve the following system of equations, what D, D, D and D₂? are 4x + 3y +…

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Q: 4 -3 -2 -1 5 4+ 3 2 1 -1- ea -3- 4+ -5- 3 4 domain range = =

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Q: Use the Rational Zeros Theorem to find all the zeros of P(x) = 2x4 + 5x³ − 3x² − 15x – 9.

A: We have to find out the zeros

Q: Use the line sketch tool to draw the horizontal and T vertical components of this vector. Write this…

A: Sketch of given vector,

Q: Find the derivative of the function * 15 f (x) = (18x + 23) 3 1 12x 12 f' (x) = f' (x) = (18x² + 23)…

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Q: (e) Sketch a graph of g(x).

A: We need to find horizontal asymptote and graph.

Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. The volume…

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Q: Let f(x) =x' - 7x² +2. Find (f")'(-4)

A: We know that  f-1'(a) = 1f'f-1(a)

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

A: Find the domain and range

Q: Find all the second order partial derivatives of g(x,y) = x+y+ 3 sin (y) + 4y cos (x). a²g n

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Q: 13. Given the triangle below, find the value of c to the nearest tenth. side c = units 33 b 3.4…

A: Explained below

Q: 4. Given the triangle below, find the value of angle C to the nearest degree. angle C = degrees 20 A…

A: Solved below.

Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. a = 6, b=9, c = 10

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Q: Use the Root Test to determine whether the series convergent or divergent. ∞ n² + 1 n 4n² + 5. n = 1…

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Q: Solve the problem with the application of integral and draw the complete figure of the problem.…

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Q: Find the area of the surface generated by revolving the given curve about the x- axis. y=6x, 0≤x≤ 3…

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Q: A right circular cone has a constant height of 10 m. Find the rate of change of its volume with…

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Q: -lving ³4xdx gives 4x b. 4x² c. 2x 1²³ C. 31 d. 2x² 1³

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Q: б хрх ] Ґ

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Q: 1. If f (x) = 5x – 6x2 + 4x - 2 find f'(x) and f'(2).

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: Given that the region is bounded by y=2x2 and y=x3 about the x-axis.