Given the function, y = x' + 3x which of the choices is the correct second step based on the four-step rule? y = 3x? + 3 %3D Ay - 3x2 + 3×AX*Ax² + 3 Ax y + Ay = (x + Ax)' + 3(x + Ax) Ay = 3xAx + 3×AX² + Ax³ + 3Ax

Q: 1. Perform the following integration: S 3sec?x dx - 2x+3 b. а. S(1+) dx с.

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Q: (a) x = 4t, y = – 3+ 3t O (x, y) = ( – 3, 0) + 1(3, 4) ai + bj = - 3i + t(3i + 4j) O (x, y) = (0, 4)…

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Q: Problem 7 Using the method of undetermined coefficients, find a particular solution yp of the…

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Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

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Q: Consider a triangle ABC like the one below. Suppose that a=32, b=31, and c= 18. (The figure is not…

A: The given question can be solved as shown in step2.

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = fx) 8.…

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Q: b) Find the exact area of the region enclosed by the curve y = x² – 3x, the x-axis and the vertical…

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Q: 4. P(1,-4,-5) and parallel to the plane 2r +4y- z 0. Also, sketch the graph of 2. Determine the…

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Q: 1. F(x) ; (3, 7), [-6, 4], (-co, 0), (-5, +∞), [-5, +∞), [10, -5) %3D x+5 2. F(x) =: (0, 1), (-1,…

A: To find the domain of the function.

Q: 1. f(x) = Vx , g(x) = 9 - x² %3D 2. flx) = Vx , g(x) = х-2 3. f(x) =, g(x) = Vã

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Find all values of x where tangent lines to y = x° and y = x' are parallel. (Give your answer in the…

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Q: A line is tangent to y = -4Vx when x = 1. What is the coefficient of x when the line is in the form…

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Q: co sh?Ł

A: As we know,    cosht = exp(t)+exp(-t)2                  and               Laplace transform of ept =…

Q: Find the location of the indicated absolute extremum for the function. Maximum -1

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Q: ain:

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Q: 2. Find the maximum value of the directional derivative, D f, of the function _2 f(x, y, z) = x´ +…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. rtan Vot +…

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Q: Two systems of equations are given below. For each system, choose the best description of its…

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy? *…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: This is case where critical points are not defined.

Q: and c= 57. (The figure is not drawn to scale.) Solve the triangle. bund your answers to the nearest…

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Q: Evaluate r(3+2r + r²) Find the limiting values of: 3x2 + 5x – 4 5x² – x + 7. x² + 5x – 4 Зх + 1 -…

A: 1. ∑r=18r3+2r+r22.a) 3x2+5x-45x2-x+7b) x2+5x-42x2-3x+1

Q: (b) g(x) dæ 2+ x2 =

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. f(x) =…

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Q: Consider a triangle ABC like the one below. Suppose that A= 128°, C=25°, and b= 56. (The figure is…

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Q: 28 74.6°

A: Given query is to find the vector components.

Q: (b) x = 5+ 7ty = - 3+ 10t, z = 6 – 4t O (x, y, z) = (5, 3, 6) + t(7, 10, 4) ai + bj + ck = (5i + 3j…

A: Given that x=5+7t ,y=-3+10t ,z=6-4tcertisian…

Q: Suppose S is a smooth surface parametrized by r(u, v) over D = [0, 1] x [0, 1] with ru = and rv = .…

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Q: 4. In each part below, give an example of a function which satisfies the given criteria. Justify…

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Q: Given h(x)dx=- and G(x)dx =What is [8h(x)-3G(x) ]dr? 3. %3D O Cannnot be determined O 2 O none of…

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Q: Evaluate the integral. 1 (4 + r)3 dr   0

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Q: (x² + 8, if x4) Consider the function f(x) = Find the value of B such that f (x) is continuous at x…

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Q: Which among the following will result from the evaluation of limit below? lim, where m = n. Bg aTt…

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Q: Consider the function f(z) =1-4x on the interval -4, 5]. Find the average or mean slope of the…

A: f(x)=1-4x2f(5)=1-4(25) =-99f(-4)=1-4(16)=-63The average or mean…

Q: et Ā = (1,3,–2) and B = (–1,–2, 3, ). Find the following. 1. The cosine of the angle between 3Ā + B…

A: Given query is to find angle between the vector.

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 2 cos(t)i +11 sin(t)j+…

A: A detailed solution is given below

Q: Find the area of the parallelogram that has u = 2i – 2j +k and v = j+ 3k as adjacent sides. NOTE:…

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Q: Using a model of the prototype ball thrower, a ball is fired into the air with an initial upward…

A: Given that height of the ballht=-16t2+48t+41.if balls reaches maximum height then…

Q: Solve the equation (x - xy + y )dx - xydy = 0. %3D O (y - x) el:) O (y - x) = cel)

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Q: Two people are 50 feet apart. One of them starts walking north at a rate so that the angle shown in…

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Q: L is a line in 2-space or 3-space that passes through the points A and , then the distance from a…

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Q: Find the general antiderivative F(x) + C for the function. f(x) = 12x + 67 O 6x² + 6x + C O 6x2 +…

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Q: 1. Let f be a function satisfying the following properties: continuous on R\{1} • f(0) = 0 and f(3)…

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Q: (x³ + 4, if x 2] Consider the function f(x) = Find the value of D such that f(x) is continuous at x…

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Q: Solve. y" + 36y = u;(t), y(0) = y'(0) = 0 %3D S f(t) 9(t) for t > 5* for t < 5 The solution can be…

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Q: Which of the following answer choices correctly graphs the equation below? y=cos(x+ 3π/4) −5

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: We need to find distance.

Q: Two corridors each 3 m wide intersect at 90 degrees. A ladder is being carried horizontally along…

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Q: flt) z (34 -1)° (t²+ 2+ + 4 )

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Q: Let a > 0 and let R be the region under the graph of f(x) =  √(9 - ax) and in the first quadrant.…

A: Points of intersection:y=x =9-axx=9-axx+ax =9x=91+aPoint (91+a, 31+a)